Generalized metric formulation of double field theory on group manifolds

Blumenhagen, Ralph; Bosque, Pascal du; Haßler, Falk; Lüst, Dieter

doi:10.1007/jhep08(2015)056

Cited by 54 publications

(92 citation statements)

References 69 publications

(147 reference statements)

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“…the vielbein (4.23) gives the desired g × g algebra [9,[14][15][16]. We now show that this vielbein also satisfies the assumption (4), namely the generalized metric when restricted to the Cartan subsector reduces to that of the torus.…”

Section: Jhep06(2017)005mentioning

confidence: 58%

“…The internal piece of the vielbein E A M will be promoted as well to an element in O(n, n, R) and we shall assume that the generalized metric for the background, 15 when restricted to the Cartan sector, reduces to the original one, determined by the Cartan metric of the enhanced symmetry group as given by (2.45).…”

Section: Jhep06(2017)005mentioning

confidence: 99%

“…The requirement of conformal invariance of the sigma model action (2.2) determines the vanishing of the cosmological constant, and then as argued in [13,15,16], in order to reproduce the string theory results it is necessary to add the O(D, D) covariant term −e −2d Λ to the DFT lagrangian (3.1). We will show how this action reproduces the right patterns of symmetry breaking when moving away from a point of maximal enhancement, i.e.…”

Section: Jhep06(2017)005mentioning

confidence: 99%

“…It was shown in [12] that the result of a generalized Scherk-Schwarz compactification of DFT is effectively equivalent to gauging the theory and parameterising the generalized 15 By "the generalized metric for the background" we mean the metric…”

Section: Internal Double Spacementioning

confidence: 99%

“…Inserting the expression (4.4) for the matrix M in terms of δg − δB ≡ v we get 15) where in the second equality we have used that the metric at the points of maximal enhancement is given by the Cartan matrix, eq. (2.45), and in the third equality the definition of v (2) given in (5.4).…”

Section: Jhep06(2017)005mentioning

confidence: 99%

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The bosonic string on string-size tori from double field theory

Cagnacci

Graña

Iguri

et al. 2017

J. High Energ. Phys.

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We construct the effective action for toroidal compactifications of bosonic string theory from generalized Scherk-Schwarz reductions of double field theory. The enhanced gauge symmetry arising at special points in moduli space is incorporated into this framework by promoting the O(k, k) duality group of k-tori compactifications to O(n, n), n being the dimension of the enhanced gauge group, which allows to account for the full massless sector of the theory. We show that the effective action reproduces the right masses of scalar and vector fields when moving sligthly away from the points of maximal symmetry enhancement. The neighborhood of the enhancement points in moduli space can be neatly explored by spontaneous symmetry breaking. We generically discuss toroidal compactifications of arbitrary dimensions and maximally enhanced gauge groups, and then inspect more closely the example of T 2 at the SU(3) L × SU(3) R point, which is the simplest setup containing all the non-trivialities of the generic case. We show that the entire moduli space can be described in a unified way by considering compactifications on higher dimensional tori.

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Section: Jhep06(2017)005mentioning

confidence: 58%

Section: Jhep06(2017)005mentioning

confidence: 99%

Section: Jhep06(2017)005mentioning

confidence: 99%

Section: Internal Double Spacementioning

confidence: 99%

Section: Jhep06(2017)005mentioning

confidence: 99%

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The bosonic string on string-size tori from double field theory

Cagnacci

Graña

Iguri

et al. 2017

J. High Energ. Phys.

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T‐duality, Quotients and Currents for Non‐Geometric Closed Strings

Bakas

Lüst

2015

Fortschritte der Physik

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We use the canonical description of T-duality as well as the formulation of T-duality in terms of chiral currents to investigate the geometric and non-geometric faces of closed string backgrounds originating from principal torus bundles with constant Hflux. Employing conformal field theory techniques, the non-commutative and nonassociative structures among generalized coordinates in the so called Q-flux and Rflux backgrounds emerge by gauging the Abelian symmetries of an enlarged Roček-Verlinde sigma-model and projecting the associated chiral currents of the enlarged theory to the T-dual coset models carrying non-geometric fluxes. *

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New Gaugings and Non‐Geometry

Lee

Strickland‐Constable

Waldram

2017

Fortschritte der Physik

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Abstract:We discuss the possible realisation in string/M theory of the recently discovered family of four-dimensional maximal SO(8) gauged supergravities, and of an analogous family of seven-dimensional half-maximal SO(4) gauged supergravities. We first prove a no-go theorem that neither class of gaugings can be realised via a compactification that is locally described by ten-or eleven-dimensional supergravity. In the language of Double Field Theory and its M theory analogue, this implies that the section condition must be violated. Introducing the minimal number of additional coordinates possible, we then show that the standard S 3 and S 7 compactifications of ten-and eleven-dimensional supergravity admit a new class of section-violating generalised frames with a generalised Lie derivative algebra that reproduces the embedding tensor of the SO (4) and SO (8) gaugings respectively. The physical meaning, if any, of these constructions is unclear. They highlight a number of the issues that arise when attempting to apply the formalism of Double Field Theory to non-toroidal backgrounds. Using a naive brane charge quantisation to determine the periodicities of the additional coordinates restricts the SO(4) gaugings to an infinite discrete set and excludes all the SO(8) gaugings other than the standard one.

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Generalized metric formulation of double field theory on group manifolds

Cited by 54 publications

References 69 publications

The bosonic string on string-size tori from double field theory

The bosonic string on string-size tori from double field theory

T‐duality, Quotients and Currents for Non‐Geometric Closed Strings

New Gaugings and Non‐Geometry

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