Consistent Compactification of Double Field Theory on Non-geometric Flux Backgrounds - INSPIRE

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Consistent Compactification of Double Field Theory on Non-geometric Flux Backgrounds

Falk Hassler
(
- Munich U., ASC and
- Munich U.
)
,
Dieter Lüst
(
- Munich U. and
- Munich, Max Planck Inst. and
- Munich U., ASC
)

Jan 20, 2014

45 pages

Published in:

JHEP 05 (2014) 085

Published: 2014

e-Print:

1401.5068 [hep-th]

DOI:

10.1007/JHEP05(2014)085

Report number:

LMU-ASC-85-13,
MPP-2013-315

View in:

ADS Abstract Service

reference search47 citations

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Abstract: (arXiv)

In this paper, we construct non-trivial solutions to the

2D

-dimensional field equations of Double Field Theory (DFT) by using a consistent Scherk-Schwarz ansatz. The ansatz identifies

2(D-d)

internal directions with a twist

U^M{}_N

which is directly connected to the covariant fluxes

\mathcal{F}_{ABC}

. It exhibits

2(D-d)

linear independent generalized Killing vectors

K_I{}^J

and gives rise to a gauged supergravity in

d

dimensions. We analyze the covariant fluxes and the corresponding gauged supergravity with a Minkowski vacuum. We calculate fluctuations around such vacua and show how they gives rise to massive scalars field and vectors field with a non-abelian gauge algebra. Because DFT is a background independent theory, these fields should directly correspond the string excitations in the corresponding background. For

(D-d)=3

we perform a complete scan of all allowed covariant fluxes and find two different kinds of backgrounds: the single and the double elliptic case. The later is not T-dual to a geometric background and cannot be transformed to a geometric setting by a field redefinition either. While this background fulfills the strong constraint, it is still consistent with the Killing vectors depending on the coordinates and the winding coordinates, thereby giving a non-geometric patching. This background can therefore not be described in Supergravity or Generalized Geometry.

Note:

44 pages, 3 tables, references added, typos corrected

Flux compactifications
Superstring Vacua
String Duality
vector: Killing
flux: background
string: excited state
field theory: vector
gauge: nonabelian
algebra: gauge
field theory: scalar

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Figures(0)

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