Non-geometric backgrounds in string theory

G. Aldazabal, D. Marqués, and C. Núñez, “Double Field Theory: A Pedagogical Review,” Class. Quant. Grav

Original

1907

Earlier work this paper cites.

K. Kodaira, “On compact complex analytic surfaces, i,” Annals of Mathematics

1960

Earlier work this paper cites.

K. Kodaira, “On compact analytic surfaces, ii,” Annals of Mathematics

1963

Earlier work this paper cites.

K. Kodaira, “On compact analytic surfaces, iii,” Annals of Mathematics

1963

Earlier work this paper cites.

J. Wess and B. Zumino, “Consequences of anomalous Ward identities,” Phys. Lett

1971

Earlier work this paper cites.

J. Scherk and J. H. Schwarz, “Spontaneous Breaking of Supersymmetry Through Dimensional Reduction,” Phys. Lett

1979

Earlier work this paper cites.

J. Scherk and J. H. Schwarz, “How to Get Masses from Extra Dimensions,” Nucl. Phys

1979

Earlier work this paper cites.

D. Andriot, O. Hohm, M. Larfors, D. Lüst, and P. Patalong, “Non-Geometric Fluxes in Supergravity and Double Field Theory,” Fortsch. Phys

Original

1979

Earlier work this paper cites.

S. Novikov, “Multivalued functions and functionals. An analogue of Morse theory,” Sov. Math. Dock

1981

Earlier work this paper cites.

E. Witten, “Nonabelian Bosonization in Two-Dimensions,” Commun. Math. Phys

1983

Earlier work this paper cites.

E. Witten, “Global Aspects of Current Algebra,” Nucl. Phys

1983

Earlier work this paper cites.

R. d. Sorkin, “Kaluza-Klein Monopole,” Phys. Rev. Lett

1983

Earlier work this paper cites.

D. J. Gross and M. J. Perry, “Magnetic Monopoles in Kaluza-Klein Theories,” Nucl. Phys

1983

Earlier work this paper cites.

K. Kikkawa and M. Yamasaki, “Casimir Effects in Superstring Theories,” Phys. Lett

1984

Earlier work this paper cites.

B. E. Fridling and A. Jevicki, “Dual Representations and Ultraviolet Divergences in Nonlinear σ \sigma Models,” Phys. Lett

1984

Earlier work this paper cites.

W. Siegel, “Manifest Lorentz Invariance Sometimes Requires Nonlinearity,” Nucl. Phys

1984

Earlier work this paper cites.

L. J. Dixon, J. A. Harvey, C. Vafa, and E. Witten, “Strings on Orbifolds,” Nucl. Phys

1985

Earlier work this paper cites.

P. Goddard, A. Kent, and D. I. Olive, “Virasoro Algebras and Coset Space Models,” Phys. Lett

1985

Earlier work this paper cites.

E. S. Fradkin and A. A. Tseytlin, “Quantum Equivalence of Dual Field Theories,” Annals Phys

1985

Earlier work this paper cites.

E. S. Fradkin and A. A. Tseytlin, “Nonlinear Electrodynamics from Quantized Strings,” Phys. Lett

1985

Earlier work this paper cites.

R. Jackiw, “3 - Cocycle in Mathematics and Physics,” Phys. Rev. Lett

1985

Earlier work this paper cites.

R. Jackiw, “MAGNETIC SOURCES AND THREE COCYCLES (COMMENT),” Phys. Lett

1985

Earlier work this paper cites.

L. J. Dixon, J. A. Harvey, C. Vafa, and E. Witten, “Strings on Orbifolds. 2.,” Nucl. Phys

1986

Earlier work this paper cites.

K. S. Narain, “New Heterotic String Theories in Uncompactified Dimensions < 10,” Phys. Lett

1986

Earlier work this paper cites.

P. Goddard, A. Kent, and D. I. Olive, “Unitary Representations of the Virasoro and Supervirasoro Algebras,” Commun. Math. Phys

1986

Earlier work this paper cites.

V. G. Drinfeld, “Quantum groups,” J. Sov. Math

1986

Earlier work this paper cites.

D. Gepner, “Space-Time Supersymmetry in Compactified String Theory and Superconformal Models,” Nucl. Phys

1987

Earlier work this paper cites.

D. Gepner, “Exactly Solvable String Compactifications on Manifolds of SU(N) Holonomy,” Phys. Lett

1987

Earlier work this paper cites.

K. S. Narain, M. H. Sarmadi, and C. Vafa, “Asymmetric Orbifolds,” Nucl. Phys

1987

Earlier work this paper cites.

N. Sakai and I. Senda, “Vacuum Energies of String Compactified on Torus,” Prog. Theor. Phys

1987

Earlier work this paper cites.

V. P. Nair, A. D. Shapere, A. Strominger, and F. Wilczek, “Compactification of the Twisted Heterotic String,” Nucl. Phys

1987

Earlier work this paper cites.

T. H. Buscher, “A Symmetry of the String Background Field Equations,” Phys. Lett

1987

Earlier work this paper cites.

London Mathematical Society Lecture Note Series. Cambridge University Press, 1987

K. Mackenzie, Lie Groupoids and Lie Algebroids in Differential Geometry · 1987

Earlier work this paper cites.

R. Floreanini and R. Jackiw, “Selfdual Fields as Charge Density Solitons,” Phys. Rev. Lett

1987

Earlier work this paper cites.

C. G. Callan, Jr., C. Lovelace, C. R. Nappi, and S. A. Yost, “String Loop Corrections to beta Functions,” Nucl. Phys

1987

Earlier work this paper cites.

A. Abouelsaood, C. G. Callan, Jr., C. R. Nappi, and S. A. Yost, “Open Strings in Background Gauge Fields,” Nucl. Phys

1987

Earlier work this paper cites.

T. H. Buscher, “Path Integral Derivation of Quantum Duality in Nonlinear Sigma Models,” Phys. Lett

1988

Earlier work this paper cites.

C. M. Hull, “Chiral Conformal Field Theory and Asymmetric String Compactification,” Phys. Lett

1988

Earlier work this paper cites.

E. Alvarez and M. A. R. Osorio, “Duality Is an Exact Symmetry of String Perturbation Theory,” Phys. Rev

1989

Earlier work this paper cites.

A. Giveon, E. Rabinovici, and G. Veneziano, “Duality in String Background Space,” Nucl. Phys

1989

Earlier work this paper cites.

A. D. Shapere and F. Wilczek, “Selfdual Models with Theta Terms,” Nucl. Phys

1989

Earlier work this paper cites.

A. Giveon, N. Malkin, and E. Rabinovici, “The Riemann Surface in the Target Space and Vice Versa,” Phys. Lett

1989

Earlier work this paper cites.

C. M. Hull and B. J. Spence, “The Gauged Nonlinear σ \sigma Model With Wess-Zumino Term,” Phys. Lett

1989

Earlier work this paper cites.

M. Dine, P. Y. Huet, and N. Seiberg, “Large and Small Radius in String Theory,” Nucl. Phys

1989

Earlier work this paper cites.

S. Ferrara and S. Sabharwal, “Dimensional Reduction of Type II Superstrings,” Class. Quant. Grav

1989

Earlier work this paper cites.

B. R. Greene and M. R. Plesser, “Duality in Calabi-Yau Moduli Space,” Nucl. Phys

1990

Earlier work this paper cites.

A. Giveon, N. Malkin, and E. Rabinovici, “On Discrete Symmetries and Fundamental Domains of Target Space,” Phys. Lett

1990

Earlier work this paper cites.

B. R. Greene, A. D. Shapere, C. Vafa, and S.-T. Yau, “Stringy Cosmic Strings and Noncompact Calabi-Yau Manifolds,” Nucl. Phys

1990

Earlier work this paper cites.

T. J. Courant, “Dirac manifolds,” Transactions of the American Mathematical Society

1990

Earlier work this paper cites.

M. Bodner and A. C. Cadavid, “Dimensional Reduction of Type Iib Supergravity and Exceptional Quaternionic Manifolds,” Class. Quant. Grav

1990

Earlier work this paper cites.

S. Ferrara and S. Sabharwal, “Quaternionic Manifolds for Type II Superstring Vacua of Calabi-Yau Spaces,” Nucl. Phys

1990

Earlier work this paper cites.

A. A. Tseytlin, “Duality Symmetric Formulation of String World Sheet Dynamics,” Phys. Lett

1990

Earlier work this paper cites.

M. J. Duff, “Duality Rotations in String Theory,” Nucl. Phys

1990

Earlier work this paper cites.

K. S. Narain, M. H. Sarmadi, and C. Vafa, “Asymmetric orbifolds: Path integral and operator formulations,” Nucl. Phys

1991

Earlier work this paper cites.

C. M. Hull and B. J. Spence, “The Geometry of the gauged sigma model with Wess-Zumino term,” Nucl. Phys

1991

Earlier work this paper cites.

A. A. Tseytlin, “Duality and dilaton,” Mod. Phys. Lett

1991

Earlier work this paper cites.

E. B. Kiritsis, “Duality in gauged WZW models,” Mod. Phys. Lett

1991

Earlier work this paper cites.

A. Giveon, “Target space duality and stringy black holes,” Mod. Phys. Lett

1991

Earlier work this paper cites.

P. Candelas and X. de la Ossa, “Moduli Space of Calabi-Yau Manifolds,” Nucl. Phys

1991

Earlier work this paper cites.

M. Bodner, A. C. Cadavid, and S. Ferrara, “(2,2) vacuum configurations for type IIA superstrings: N=2 supergravity Lagrangians and algebraic geometry,” Class. Quant. Grav

1991

Earlier work this paper cites.

A. A. Tseytlin, “Duality symmetric closed string theory and interacting chiral scalars,” Nucl. Phys

1991

Earlier work this paper cites.

M. Roček and E. P. Verlinde, “Duality, quotients, and currents,” Nucl. Phys

1992

Earlier work this paper cites.

R. Dijkgraaf, H. L. Verlinde, and E. P. Verlinde, “String propagation in a black hole geometry,” Nucl. Phys

1992

Earlier work this paper cites.

A. Giveon and M. Roček, “Generalized duality in curved string backgrounds,” Nucl. Phys

1992

Earlier work this paper cites.

E. Kiritsis, “Exact duality symmetries in CFT and string theory,” Nucl. Phys

1993

Earlier work this paper cites.

X. C. de la Ossa and F. Quevedo, “Duality symmetries from nonAbelian isometries in string theory,” Nucl. Phys

1993

Earlier work this paper cites.

F. Falceto and K. Gawȩdzki, “Lattice Wess-Zumino-Witten model and quantum groups,” J. Geom. Phys

1993

Earlier work this paper cites.

J. Maharana and J. H. Schwarz, “Noncompact symmetries in string theory,” Nucl. Phys

1993

Earlier work this paper cites.

W. Siegel, “Two vierbein formalism for string inspired axionic gravity,” Phys. Rev

1993

Earlier work this paper cites.

W. Siegel, “Superspace duality in low-energy superstrings,” Phys. Rev

1993

Earlier work this paper cites.

A. Giveon, M. Porrati, and E. Rabinovici, “Target space duality in string theory,” Phys. Rept

1994

Earlier work this paper cites.

A. Giveon and M. Roček, “On nonAbelian duality,” Nucl. Phys

1994

Earlier work this paper cites.

E. Alvarez, L. Alvarez-Gaumé, J. L. F. Barbón, and Y. Lozano, “Some global aspects of duality in string theory,” Nucl. Phys

1994

Earlier work this paper cites.

E. Alvarez, L. Alvarez-Gaumé, and Y. Lozano, “A Canonical approach to duality transformations,” Phys. Lett

1994

Earlier work this paper cites.

T. Curtright and C. K. Zachos, “Currents, charges, and canonical structure of pseudodual chiral models,” Phys. Rev

1994

Earlier work this paper cites.

K. Sfetsos, “Gauged WZW models and nonAbelian duality,” Phys. Rev

1994

Earlier work this paper cites.

E. Alvarez, L. Alvarez-Gaumé, and Y. Lozano, “On nonAbelian duality,” Nucl. Phys

1994

Earlier work this paper cites.

A. Giveon and E. Kiritsis, “Axial vector duality as a gauge symmetry and topology change in string theory,” Nucl. Phys

1994

Earlier work this paper cites.

A. Yu. Alekseev and A. Z. Malkin, “Symplectic structures associated to Lie-Poisson groups,” Commun. Math. Phys

1994

Earlier work this paper cites.

C. M. Hull and P. K. Townsend, “Unity of superstring dualities,” Nucl. Phys

1994

Earlier work this paper cites.

E. Witten, “String theory dynamics in various dimensions,” Nucl. Phys

1995

Earlier work this paper cites.

Y. Lozano, “NonAbelian duality and canonical transformations,” Phys. Lett

1995

Earlier work this paper cites.

C. Klimčík and P. Ševera, “Dual nonAbelian duality and the Drinfeld double,” Phys. Lett

1995

Earlier work this paper cites.

E. Bergshoeff, C. M. Hull, and T. Ortín, “Duality in the type II superstring effective action,” Nucl. Phys

1995

Earlier work this paper cites.

M. Berkooz, M. R. Douglas, and R. G. Leigh, “Branes intersecting at angles,” Nucl. Phys

1996

Earlier work this paper cites.

E. Alvarez, J. L. F. Barbón, and J. Borlaf, “T duality for open strings,” Nucl. Phys

1996

Earlier work this paper cites.

H. Dorn and H. J. Otto, “On T duality for open strings in general Abelian and nonAbelian gauge field backgrounds,” Phys. Lett

1996

Earlier work this paper cites.

S. Förste, A. A. Kehagias, and S. Schwager, “NonAbelian duality for open strings,” Nucl. Phys

1996

Earlier work this paper cites.

J. Borlaf and Y. Lozano, “Aspects of T duality in open strings,” Nucl. Phys

1996

Earlier work this paper cites.

Y. Lozano, “Duality and canonical transformations,” Mod. Phys. Lett

1996

Earlier work this paper cites.

A. A. Tseytlin, “Selfduality of Born-Infeld action and Dirichlet three-brane of type IIB superstring theory,” Nucl. Phys

1996

Earlier work this paper cites.

E. Bergshoeff and M. De Roo, “D-branes and T duality,” Phys. Lett

1996

Earlier work this paper cites.

M. B. Green, C. M. Hull, and P. K. Townsend, “D-brane Wess-Zumino actions, t duality and the cosmological constant,” Phys. Lett

1996

Earlier work this paper cites.

T. Curtright, T. Uematsu, and C. K. Zachos, “Geometry and duality in supersymmetric sigma models,” Nucl. Phys

1996

Earlier work this paper cites.

M. R. Gaberdiel, “Abelian duality in WZW models,” Nucl. Phys

1996

Earlier work this paper cites.

E. Bergshoeff, M. de Roo, M. B. Green, G. Papadopoulos, and P. K. Townsend, “Duality of type II 7 branes and 8 branes,” Nucl. Phys

1996

Earlier work this paper cites.

C. Klimčík, “Poisson-Lie T duality,” Nucl. Phys. Proc. Suppl

1996

Earlier work this paper cites.

C. Klimčík and P. Ševera, “Poisson-Lie T duality and loop groups of Drinfeld doubles,” Phys. Lett

1996

Earlier work this paper cites.

E. Tyurin and R. von Unge, “Poisson-lie T duality: The Path integral derivation,” Phys. Lett

1996

Earlier work this paper cites.

A. Yu. Alekseev, C. Klimčík, and A. A. Tseytlin, “Quantum Poisson-Lie T duality and WZNW model,” Nucl. Phys

1996

Earlier work this paper cites.

C. Klimčík and P. Ševera, “Poisson Lie T duality: Open strings and D-branes,” Phys. Lett

1996

Earlier work this paper cites.

A. Strominger, S.-T. Yau, and E. Zaslow, “Mirror symmetry is T duality,” Nucl. Phys

1996

Earlier work this paper cites.

H. Ooguri and C. Vafa, “Summing up D instantons,” Phys. Rev. Lett

1996

Earlier work this paper cites.

C. Vafa, “Evidence for F theory,” Nucl. Phys

1996

Earlier work this paper cites.

C. Klimčík and P. Ševera, “Open strings and D-branes in WZNW model,” Nucl. Phys

1997

Earlier work this paper cites.

R. Gregory, J. A. Harvey, and G. W. Moore, “Unwinding strings and t duality of Kaluza-Klein and h monopoles,” Adv. Theor. Math. Phys

1997

Earlier work this paper cites.

A. Kumar and C. Vafa, “U manifolds,” Phys. Lett

1997

Earlier work this paper cites.

Z.-J. Liu, A. Weinstein, and P. Xu, “Manin Triples for Lie Bialgebroids,” J. Diff. Geom

1997

Earlier work this paper cites.

L. Andrianopoli, M. Bertolini, A. Ceresole, R. D’Auria, S. Ferrara, P. Fré, and T. Magri, “N=2 supergravity and N=2 superYang-Mills theory on general scalar manifolds: Symplectic covariance, gaugings and the momentum map,” J. Geom. Phys

1997

Earlier work this paper cites.

J. Michelson, “Compactifications of type IIB strings to four-dimensions with nontrivial classical potential,” Nucl. Phys

1997

Earlier work this paper cites.

R. Minasian and G. W. Moore, “K theory and Ramond-Ramond charge,” JHEP

1997

Earlier work this paper cites.

P. Pasti, D. P. Sorokin, and M. Tonin, “On Lorentz invariant actions for chiral p forms,” Phys. Rev

1997

Earlier work this paper cites.

J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys

1998

Earlier work this paper cites.

K. Sfetsos, “Canonical equivalence of nonisometric sigma models and Poisson-Lie T duality,” Nucl. Phys

1998

Earlier work this paper cites.

C. M. Hull, “Massive string theories from M theory and F theory,” JHEP

1998

Earlier work this paper cites.

E. Eyras, B. Janssen, and Y. Lozano, “Five-branes, K K monopoles and T duality,” Nucl. Phys

1998

Earlier work this paper cites.

J. T. Liu and R. Minasian, “U-branes and T 3 T^{3} fibrations,” Nucl. Phys

1998

Earlier work this paper cites.

E. Cremmer, B. Julia, H. Lü, and C. N. Pope, “Dualization of dualities. 1.,” Nucl. Phys

1998

Earlier work this paper cites.

M. R. Douglas and C. M. Hull, “D-branes and the noncommutative torus,” JHEP

1998

Earlier work this paper cites.

P. Meessen and T. Ortín, “An Sl(2,Z) multiplet of nine-dimensional type II supergravity theories,” Nucl. Phys

1999

Earlier work this paper cites.

M. A. Jafarizadeh and A. Rezaei-Aghdam, “Poisson Lie T duality and Bianchi type algebras,” Phys. Lett

1999

Earlier work this paper cites.

K. Dasgupta, G. Rajesh, and S. Sethi, “M theory, orientifolds and G - flux,” JHEP

1999

Earlier work this paper cites.

D. S. Freed and E. Witten, “Anomalies in string theory with D-branes,” Asian J. Math

1999

Earlier work this paper cites.

O. DeWolfe, T. Hauer, A. Iqbal, and B. Zwiebach, “Uncovering infinite symmetries on [p, q] 7-branes: Kac-Moody algebras and beyond,” Adv. Theor. Math. Phys

1999

Earlier work this paper cites.

N. A. Obers and B. Pioline, “U duality and M theory,” Phys. Rept

1999

Earlier work this paper cites.

D. Roytenberg, “Courant algebroids, derived brackets and even symplectic supermanifolds,” ArXiv Mathematics e-prints

1999

Earlier work this paper cites.

N. Kaloper and R. C. Myers, “The Odd story of massive supergravity,” JHEP

1999

Earlier work this paper cites.

M. Roček and A. A. Tseytlin, “Partial breaking of global D = 4 supersymmetry, constrained superfields, and three-brane actions,” Phys. Rev

1999

Earlier work this paper cites.

C.-S. Chu and P.-M. Ho, “Noncommutative open string and D-brane,” Nucl. Phys

1999

Cited alongside, same era.

N. Seiberg and E. Witten, “String theory and noncommutative geometry,” JHEP

1999

Cited alongside, same era.

F. Ardalan, H. Arfaei, and M. M. Sheikh-Jabbari, “Noncommutative geometry from strings and branes,” JHEP

1999

Cited alongside, same era.

V. Schomerus, “D-branes and deformation quantization,” JHEP

1999

Cited alongside, same era.

A. Yu. Alekseev, A. Recknagel, and V. Schomerus, “Noncommutative world volume geometries: Branes on SU(2) and fuzzy spheres,” JHEP

1999

Cited alongside, same era.

R. Blumenhagen, L. Görlich, B. Körs, and D. Lüst, “Noncommutative compactifications of type I strings on tori with magnetic background flux,” JHEP

S. Jensen, “The KK-Monopole/NS5-Brane in Doubled Geometry,” JHEP

Original

2011

Later among the works it cites.

E. A. Bergshoeff and F. Riccioni, “Branes and wrapping rules,” Phys. Lett

Original

2011

Later among the works it cites.

D. S. Berman and M. J. Perry, “Generalized Geometry and M theory,” JHEP

Original

2011

Later among the works it cites.

D. Andriot, M. Larfors, D. Lüst, and P. Patalong, “A ten-dimensional action for non-geometric fluxes,” JHEP

Original

2011

Later among the works it cites.

P. Koerber, “Lectures on Generalized Complex Geometry for Physicists,” Fortsch. Phys

Original