Fetching the paper…

Reading the bibliography…

Geometries, Non-Geometries, and Fluxes · Around

2010

Geometries, Non-Geometries, and Fluxes

McOrist, Jock, Morrison, David R., Sethi, Savdeep

Original
PDF
Post on X

Understand

Using F-theory/heterotic duality, we describe a framework for analyzing non-geometric T2-fibered heterotic compactifications to six- and four-dimensions.

Our results suggest that among T2-fibered heterotic string vacua, the non-geometric compactifications are just as typical as the geometric ones.
We also construct four-dimensional solutions which have novel type IIB and M-theory dual descriptions.
These duals are non-geometric with three- and four-form fluxes not of (2,1) or (2,2) Hodge type, respectively, and yet preserve at least N=1 supersymmetry.

Built on

K. Kodaira, On compact analytic surfaces. II, III
1963
Earlier work this paper cites.
S. Kawai, Elliptic fibre spaces over compact surfaces
1967
Earlier work this paper cites.
D. Mumford, Abelian varieties
1970
Earlier work this paper cites.
K. Ueno, Classification of algebraic varieties. I
1973
Earlier work this paper cites.
P. Deligne, Courbes elliptiques: formulaire (d’après J. Tate)
1975
Earlier work this paper cites.
T. Shioda and H. Inose, On singular K 3 K3 surfaces
1977
Earlier work this paper cites.
H. Inose, Defining equations of singular K 3 K3 surfaces and a notion of isogeny
1978
Earlier work this paper cites.
D. R. Morrison, On K3 surfaces with large Picard number
1984
Earlier work this paper cites.
D. R. Morrison, The Kuga–Satake variety of an abelian surface
1985
Earlier work this paper cites.
A. Strominger, Superstrings with torsion
1986
Earlier work this paper cites.
N. Nakayama, On Weierstrass models
1988
Earlier work this paper cites.
K. Oguiso, On Jacobian fibrations on the Kummer surfaces of the product of nonisogenous elliptic curves
1989
Earlier work this paper cites.
B. R. Greene, A. Shapere, C. Vafa, and S.-T. Yau, Stringy cosmic strings and noncompact Calabi–Yau manifolds
1990
Earlier work this paper cites.
E. Witten, Phases of N = 2 N=2 theories in two dimensions
1993
Earlier work this paper cites.
E. Bergshoeff, C. M. Hull, and T. Ortin, Duality in the type II superstring effective action
1995
Earlier work this paper cites.
C. Vafa, Evidence for F-theory
1996
Earlier work this paper cites.
A. Strominger, S.-T. Yau, and E. Zaslow, Mirror symmetry is T-duality
1996
Earlier work this paper cites.
D. R. Morrison and C. Vafa, Compactifications of F-theory on Calabi–Yau threefolds, I
1996
Earlier work this paper cites.
A. Sen, F-theory and orientifolds
1996
Earlier work this paper cites.
K. Dasgupta and S. Mukhi, F-theory at constant coupling
1996
Earlier work this paper cites.
P. S. Aspinwall, Enhanced gauge symmetries and Calabi–Yau threefolds
1996
Earlier work this paper cites.
S. Katz, D. R. Morrison, and M. R. Plesser, Enhanced gauge symmetry in type II string theory
1996
Earlier work this paper cites.
A. Klemm and P. Mayr, Strong coupling singularities and non-abelian gauge symmetries in N = 2 N=2 string theory
1996
Earlier work this paper cites.
E. Witten, Phase transitions in M M -theory and F F -theory
1996
Earlier work this paper cites.
P. S. Aspinwall and M. Gross, The SO ⁡ ( 32 ) {\rm SO}(32) heterotic string on a K 3 K3 surface
1996
Earlier work this paper cites.
M. J. Duff, R. Minasian, and E. Witten, Evidence for heterotic/heterotic duality
1996
Earlier work this paper cites.

Similar

G. Lopes Cardoso, G. Curio, D. Lust, and T. Mohaupt, On the duality between the heterotic string and F-theory in 8 dimensions
1996
Cited alongside, same era.
E. Witten, Small instantons in string theory
1996
Cited alongside, same era.
M. Berkooz, R. G. Leigh, J. Polchinski, J. H. Schwarz, N. Seiberg, and E. Witten, Anomalies, dualities, and topology of D = 6 D=6 N = 1 N=1 superstring vacua
1996
Cited alongside, same era.
O. J. Ganor and A. Hanany, Small E 8 E_{8} instantons and tensionless non critical strings
1996
Cited alongside, same era.
N. Seiberg and E. Witten, Comments on string dynamics in six dimensions
1996
Cited alongside, same era.
S. Sethi, C. Vafa, and E. Witten, Constraints on low-dimensional string compactifications

Then

C. M. Hull, A geometry for non-geometric string backgrounds
2005
Later among the works it cites.
D. Robbins and S. Sethi, A barren landscape
2005
Later among the works it cites.
J. Shelton, W. Taylor, and B. Wecht, Nongeometric flux compactifications
2005
Later among the works it cites.
T. Shioda, Kummer sandwich theorem of certain elliptic K 3 K3 surfaces
2006
Later among the works it cites.
M. Graña, Flux compactifications in string theory: A comprehensive review
2006
Later among the works it cites.
D. Tsimpis, M-theory on eight-manifolds revisited: N = 1 supersymmetry and generalized Spin(7) structures
2006
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

1996

Cited alongside, same era.

K. Becker and M. Becker, M-theory on eight-manifolds

1996

Cited alongside, same era.

A. Sen, Orientifold limit of F-theory vacua

1997

Cited alongside, same era.

A. Kumar and C. Vafa, U-manifolds

1997

Cited alongside, same era.

P. S. Aspinwall and D. R. Morrison, Point-like instantons on K3 orbifolds

1997

Cited alongside, same era.

P. S. Aspinwall, Point-like instantons and the Spin(32)/ ℤ 2 \mathbb{Z}_{2} heterotic string

1997

Cited alongside, same era.

R. Friedman, J. Morgan, and E. Witten, Vector bundles and F theory

1997

Cited alongside, same era.

A. Clingher and C. F. Doran, Modular invariants for lattice polarized K 3 K3 surfaces

2007

Later among the works it cites.

J. Shelton, W. Taylor, and B. Wecht, Generalized flux vacua

2007

Later among the works it cites.

B. Wecht, Lectures on nongeometric flux compactifications

2007

Later among the works it cites.

M. Ihl, D. Robbins, and T. Wrase, Toroidal orientifolds in IIA with general NS-NS fluxes

Original

2007

Later among the works it cites.

M. Cvetic, T. Liu, and M. B. Schulz, Twisting K 3 × T 2 K3\times T^{2} orbifolds

2007

Later among the works it cites.

P. Koerber and D. Tsimpis, Supersymmetric sources, integrability and generalized- structure compactifications

2007

Later among the works it cites.

F. Marchesano and W. Schulgin, Non-geometric fluxes as supergravity backgrounds

2007

Later among the works it cites.

W. D. Linch, III, J. McOrist, and B. C. Vallilo, Type IIB flux vacua from the string worldsheet

Original

2008

Later among the works it cites.

R. A. Reid-Edwards and B. Spanjaard, N=4 gauged supergravity from duality-twist compactifications of string theory

2008

Later among the works it cites.

D. S. Berman, N. B. Copland, and D. C. Thompson, Background field equations for the duality symmetric string

2008

Later among the works it cites.

S. Sethi, A note on heterotic dualities via M-theory

2008

Later among the works it cites.

D. Andriot, New supersymmetric flux vacua with intermediate SU(2) structure

Original

2008

Later among the works it cites.

W. Schulgin and J. Troost, Backreacted T-folds and non-geometric regions in configuration space

2008

Later among the works it cites.

D. Vegh and J. McGreevy, Semi-flatland

2008

Later among the works it cites.

K. Becker and S. Sethi, Torsional Heterotic Geometries

Original

2009

Later among the works it cites.

K. Becker, C. Bertinato, Y.-C. Chung, and G. Guo, Supersymmetry breaking, heterotic strings and fluxes

2009

Later among the works it cites.

L. Carlevaro, D. Israel, and P. Marios Petropoulos, Double-Scaling limit of heterotic bundles and dynamical deformation in CFT

Original

2010

Closest in time.

L. Carlevaro and D. Israel, Heterotic resolved conifolds with torsion, from supergravity to CFT

2010

Closest in time.

S. D. Avramis, J.-P. Derendinger, and N. Prezas, Conformal chiral boson models on twisted doubled tori and non-geometric string vacua

2010

Closest in time.