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Double field theory and pseudosupersymmetry

Dec 22, 2020

22 pages

Published in:

Phys.Rev.D 104 (2021) 2, 026008

Published: Jul 15, 2021

e-Print:

2012.12278 [hep-th]

DOI:

10.1103/PhysRevD.104.026008 (publication)

Report number:

MI-TH-2034

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Abstract: (APS)

Many of the useful features of supergravities, such as admitting supersymmetric bosonic backgrounds governed by first-order Bogomol’nyi–Prasad–Sommerfield equations, can be realized in a much broader setting by relaxing the requirement of closure of the superalgebra beyond the level of quadratic fermion terms. The resulting pseudo-supersymmetric theories can be defined in arbitrary spacetime dimensions. We focus here on the

N = 1

pseudo-supersymmetric extensions of the arbitrary-dimensional bosonic string action, which were constructed a few years ago. In this paper, we recast these in the language of double field theory. More precisely, we construct the action and the corresponding pseudo-supersymmetry transformation rules in terms of

O (D) \times O (D)

covariant derivatives, and we discuss consistent truncations on manifolds with generalized

G

structure. We thereby obtain a natural generalization of the previously known results for

N = 1

supersymmetric double field theory in

D = 10

to arbitrary dimensions. As explicit examples, we discuss

Minkowski \times G

vacuum solutions and their corresponding pseudo-supersymmetry. We also briefly discuss squashed group manifold solutions, including an example with a Lorentzian signature metric on the group manifold

G

.

Note:

22 pages, 1 table

supersymmetry: transformation
derivative: covariance
string model: boson
vacuum: solution
double field theory
geometry
compactification
group: Lie
O(N) x O(N)

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Figures(0)

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