Generalized Metric Formulation of Double Field Theory on Group Manifolds - INSPIRE

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Generalized Metric Formulation of Double Field Theory on Group Manifolds

Ralph Blumenhagen
(
- Munich, Max Planck Inst.
)
,
Pascal du Bosque
(
- Munich U., ASC
)
,
Falk Hassler
(
- Munich, Max Planck Inst. and
- Munich U., ASC
)
,
Dieter Lust
(
- Munich, Max Planck Inst. and
- Munich U., ASC and
- CERN
)

Feb 9, 2015

29 pages

Published in:

JHEP 08 (2015) 056

Published: Aug 13, 2015

e-Print:

1502.02428 [hep-th]

DOI:

10.1007/JHEP08(2015)056

Report number:

LMU-ASC-03-15,
MPP-2015-14,
CERN-PH-TH-2015-020

View in:

reference search60 citations

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Abstract: (Springer)

We rewrite the recently derived cubic action of Double Field Theory on group manifolds [1] in terms of a generalized metric and extrapolate it to all orders in the fields. For the resulting action, we derive the field equations and state them in terms of a generalized curvature scalar and a generalized Ricci tensor. Compared to the generalized metric formulation of DFT derived from tori, all these quantities receive additional contributions related to the non-trivial background. It is shown that the action is invariant under its generalized diffeomorphisms and 2D-diffeomorphisms. Imposing additional constraints relating the background and fluctuations around it, the precise relation between the proposed generalized metric formulation of DFT

_{WZW}

and of original DFT from tori is clarified. Furthermore, we show how to relate DFT

_{WZW}

of the WZW background with the flux formulation of original DFT.

Note:

28 pages, no figures, minor changes

String Duality
Effective field theories
String Field Theory
curvature: scalar
tensor: Ricci
background
double field theory
torus
field equations
diffeomorphism

References(40)

Figures(0)

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)
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(
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)
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(
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)

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Gerardo Aldazabal
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)
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)
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G. Aldazabal
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)
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Falk Hassler
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Cezar Condeescu
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)
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Dieter Lust
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Cezar Condeescu
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)
,
Ioannis Florakis
(
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)
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Dieter Lüst
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)

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