Built on

D. Andriot, O. Hohm, M. Larfors, D. Lust and P. Patalong, “A geometric action for non-geometric fluxes,” Phys. Rev. Lett. 108
Original
1979
Earlier work this paper cites.
M. J. Duff, “Duality Rotations In String Theory,” Nucl. Phys. B 335
1990
Earlier work this paper cites.
A. A. Tseytlin, “Duality Symmetric Formulation Of String World Sheet Dynamics,” Phys. Lett. B 242
1991
Earlier work this paper cites.
A. Sen, “O(d) x O(d) symmetry of the space of cosmological solutions in string theory, scale factor duality and two-dimensional black holes,” Phys. Lett. B 271
1991
Earlier work this paper cites.
T. Kugo and B. Zwiebach, “Target space duality as a symmetry of string field theory,” Prog. Theor. Phys. 87
1992
Earlier work this paper cites.
W. Siegel, “Superspace duality in low-energy superstrings,” Phys. Rev. D 48
1993
Earlier work this paper cites.
B. Zwiebach, “Closed string field theory: Quantum action and the B-V master equation,” Nucl. Phys. B 390
1993
Earlier work this paper cites.
K. A. Meissner, “Symmetries of higher order string gravity actions,” Phys. Lett. B 392
Original
1997
Earlier work this paper cites.
N. Hitchin, “Generalized Calabi-Yau manifolds,” Quart. J. Math. Oxford Ser. 54
2003
Earlier work this paper cites.
C. Hull, B. Zwiebach, “Double Field Theory,” JHEP 0909
Original
2009
Earlier work this paper cites.
C. Hull, B. Zwiebach, “The Gauge algebra of double field theory and Courant brackets,” JHEP 0909
Original
2009
Earlier work this paper cites.
C. Hillmann, “Generalized E(7(7)) coset dynamics and D=11 supergravity,” JHEP 0903
Original
2009
Earlier work this paper cites.

Similar

O. Hohm, C. Hull and B. Zwiebach, “Background independent action for double field theory,” JHEP 1007
Original
2010
Cited alongside, same era.
O. Hohm, C. Hull and B. Zwiebach, “Generalized metric formulation of double field theory,” JHEP 1008
Original
2010
Cited alongside, same era.
S. K. Kwak, “Invariances and Equations of Motion in Double Field Theory,” JHEP 1010
Original
2010
Cited alongside, same era.
O. Hohm, S. K. Kwak, “Frame-like Geometry of Double Field Theory,” J. Phys. A A44
Original
2011
Cited alongside, same era.
O. Hohm, “On factorizations in perturbative quantum gravity,” JHEP 1104
Original

Then

C. Albertsson, S. -H. Dai, P. -W. Kao, F. -L. Lin, “Double Field Theory for Double D-branes,” JHEP 1109
Original
2011
Later among the works it cites.
G. Aldazabal, W. Baron, D. Marques, C. Nunez, “The effective action of Double Field Theory,” JHEP 1111
Original
2011
Later among the works it cites.
O. Hohm and S. K. Kwak, “N=1 Supersymmetric Double Field Theory,” JHEP 1203
Original
2012
Closest in time.
O. Hohm and B. Zwiebach, “On the Riemann Tensor in Double Field Theory,” JHEP 1205
Original
2012
Closest in time.
D. S. Berman, E. T. Musaev, and D. C. Thompson, “Duality Invariant M-theory: Gauged supergravities and Scherk-Schwarz reductions,” JHEP 1210
Original

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2012

Towards an invariant geometry of double field theory

Hohm, Olaf, Zwiebach, Barton

Understand

We introduce a geometrical framework for double field theory in which generalized Riemann and torsion tensors are defined without reference to a particular basis.

This invariant geometry provides a unifying framework for the frame-like and metric-like formulations developed before.
We discuss the relation to generalized geometry and give an `index-free' proof of the algebraic Bianchi identity.
Finally, we analyze to what extent the generalized Riemann tensor encodes the curvatures of Riemannian geometry.

Built on

D. Andriot, O. Hohm, M. Larfors, D. Lust and P. Patalong, “A geometric action for non-geometric fluxes,” Phys. Rev. Lett. 108
Original
1979
Earlier work this paper cites.
M. J. Duff, “Duality Rotations In String Theory,” Nucl. Phys. B 335
1990
Earlier work this paper cites.
A. A. Tseytlin, “Duality Symmetric Formulation Of String World Sheet Dynamics,” Phys. Lett. B 242
1991
Earlier work this paper cites.
A. Sen, “O(d) x O(d) symmetry of the space of cosmological solutions in string theory, scale factor duality and two-dimensional black holes,” Phys. Lett. B 271
1991
Earlier work this paper cites.
T. Kugo and B. Zwiebach, “Target space duality as a symmetry of string field theory,” Prog. Theor. Phys. 87
1992
Earlier work this paper cites.
W. Siegel, “Superspace duality in low-energy superstrings,” Phys. Rev. D 48
1993
Earlier work this paper cites.
B. Zwiebach, “Closed string field theory: Quantum action and the B-V master equation,” Nucl. Phys. B 390
1993
Earlier work this paper cites.
K. A. Meissner, “Symmetries of higher order string gravity actions,” Phys. Lett. B 392
Original
1997
Earlier work this paper cites.
N. Hitchin, “Generalized Calabi-Yau manifolds,” Quart. J. Math. Oxford Ser. 54
2003
Earlier work this paper cites.
C. Hull, B. Zwiebach, “Double Field Theory,” JHEP 0909
Original
2009
Earlier work this paper cites.
C. Hull, B. Zwiebach, “The Gauge algebra of double field theory and Courant brackets,” JHEP 0909
Original
2009
Earlier work this paper cites.
C. Hillmann, “Generalized E(7(7)) coset dynamics and D=11 supergravity,” JHEP 0903
Original
2009
Earlier work this paper cites.