Non-associative Deformations of Geometry in Double Field Theory

Blumenhagen, Ralph; Fuchs, Michael; Haßler, Falk; Lüst, Dieter; Sun, Rui

doi:10.1007/JHEP04(2014)141

Non-associative Deformations of Geometry in Double Field Theory

Ralph Blumenhagen
(
- Munich, Max Planck Inst.
)
,
Michael Fuchs
(
- Munich, Max Planck Inst.
)
,
Falk Haßler
(
- Munich U., ASC
)
,
Dieter Lüst
(
- Munich, Max Planck Inst. and
- Munich U., ASC
)
,
Rui Sun
(
- Munich, Max Planck Inst.
)

Dec 3, 2013

25 pages

Published in:

JHEP 04 (2014) 141

Published: 2014

e-Print:

1312.0719 [hep-th]

DOI:

10.1007/JHEP04(2014)141

Report number:

MPP-2013-307,
LMU-ASC-80-13

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Abstract: (arXiv)

Non-geometric string backgrounds were proposed to be related to a non-associative deformation of the space-time geometry. In the flux formulation of double field theory (DFT), the structure of mathematically possible non-associative deformations is analyzed in detail. It is argued that on-shell there should not be any violation of associativity in the effective DFT action. For imposing either the strong or the weaker closure constraint we discuss two possible non-associative deformations of DFT featuring two different ways how on-shell associativity can still be kept.

Note:

29 pages, 1 figure, v2: major revision of section 4, discussion of closure constraint changed

Flux compactifications
Non-Commutative Geometry
space-time: deformation
geometry: deformation
space-time: geometry
double field theory
string
flux

References(53)

Figures(1)

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