2012

Non-geometric strings, symplectic gravity and differential geometry of Lie algebroids

Blumenhagen, Ralph, Deser, Andreas, Plauschinn, Erik et al.

Understand

Based on the structure of a Lie algebroid for non-geometric fluxes in string theory, a differential-geometry calculus is developed which combines usual diffeomorphisms with so-called \beta-diffeomorphisms emanating from gauge symmetries of the Kalb-Ramond field.

This allows to construct a bi-invariant action of Einstein-Hilbert type comprising a metric, a (quasi-)symplectic structure \beta and a dilaton.
As a salient feature, this symplectic gravity action and the resulting equations of motion take a form which is similar to the standard action and field equations.
Furthermore, the two actions turn out to be related via a field redefinition reminiscent of the Seiberg-Witten limit.

Built on

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Similar

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2006
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2007
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2008
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M. Grana, R. Minasian, M. Petrini, and D. Waldram, “T-duality, Generalized Geometry and Non-Geometric Backgrounds,” JHEP
2009
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C. Hull and B. Zwiebach, “Double Field Theory,” JHEP
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2009
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D. Lüst, “T-duality and closed string non-commutative (doubled) geometry,” JHEP
2010
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2010
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2011
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R. Blumenhagen, A. Deser, D. Lüst, E. Plauschinn, and F. Rennecke, “Non-geometric Fluxes, Asymmetric Strings and Nonassociative Geometry,” J.Phys.A
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A. Chatzistavrakidis and L. Jonke, “Matrix theory origins of non-geometric fluxes,” 1207.6412
Cited in the paper.
D. S. Berman, M. Cederwall, A. Kleinschmidt, and D. C. Thompson, “The gauge structure of generalised diffeomorphisms,” 1208.5884
Cited in the paper.

Then

A. Coimbra, C. Strickland-Constable, and D. Waldram, “Supergravity as Generalised Geometry I: Type II Theories,” JHEP
2011
Later among the works it cites.
G. Aldazabal, W. Baron, D. Marques, and C. Nunez, “The effective action of Double Field Theory,” JHEP
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
2011
Later among the works it cites.
D. S. Berman and M. J. Perry, “Generalized Geometry and M theory,” JHEP
2011
Later among the works it cites.
D. Mylonas, P. Schupp, and R. J. Szabo, “Membrane Sigma-Models and Quantization of Non-Geometric Flux Backgrounds,” JHEP
2012
Closest in time.
C. Condeescu, I. Florakis, and D. Lüst, “Asymmetric Orbifolds, Non-Geometric Fluxes and Non-Commutativity in Closed String Theory,” JHEP
2012
Closest in time.
D. Andriot, O. Hohm, M. Larfors, D. Lüst, and P. Patalong, “A geometric action for non-geometric fluxes,” Phys.Rev.Lett
2012
Closest in time.
R. Blumenhagen, A. Deser, E. Plauschinn, and F. Rennecke, “Palatini-Lovelock-Cartan Gravity - Bianchi Identities for Stringy Fluxes,” Class.Quant.Grav
2012
Closest in time.
R. Blumenhagen, A. Deser, E. Plauschinn, and F. Rennecke, “A bi-invariant Einstein-Hilbert action for the non-geometric string,” Phys.Lett
2013
Closest in time.

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