Exploring fermionic T-duality

Bakhmatov, Ilya; Berman, David S.

doi:10.1016/j.nuclphysb.2010.01.026

Cited by 25 publications

(47 citation statements)

References 28 publications

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“…Fermionic T-duality preserves supersymmetry and the metric of the solution [13], hence using the Killing spinors we are able to generate new supersymmetric solutions with the same metric AdS 10−k × M k , k = 3, 5. The new solutions presented here are essentially deformations of the original solutions by complex valued RR fluxes, akin to the deformations of the D-brane solutions found earlier in [21].…”

Section: Introductionmentioning

confidence: 65%

Fermionic T-duality in massive type IIA supergravity on $$AdS_{10-k} \times M_k$$ A d S 10 - k × M k

Bakhmatov¹

2016

Eur. Phys. J. C

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Fermionic T-duality transformation is studied for supersymmetric solutions of massive type IIA supergravity with the metric Ad S 10−k × M k for k = 3 and 5. We derive the Killing spinors of these backgrounds and use them as input for the fermionic T-duality transformation. The resulting dual solutions form a large family of supersymmetric deformations of the original solutions by complex valued RR fluxes. We observe that the Romans mass parameter does not change under fermionic T-duaity, and prove its invariance in the k = 3 case.

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Section: Introductionmentioning

confidence: 65%

Fermionic T-duality in massive type IIA supergravity on $$AdS_{10-k} \times M_k$$ A d S 10 - k × M k

Bakhmatov¹

2016

Eur. Phys. J. C

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“…In other words, besides bosonic T-duality we should also consider fermionic T-duality [53][54][55][56][57][58][59].…”

Section: Resultsmentioning

confidence: 99%

“…Note that according to [38,[53][54][55][56][57][58][59] fermionic coordinates, θ α andθ α , and their canonically conjugated momenta, π α andπ α , are parts of the supersymmetry invariant variables,…”

Section: Single Form Of Supersymmetry Invariants In T-dual Theory Andmentioning

confidence: 99%

T-dualization of type II superstring theory in double space

Nikolić

Sazdović

2017

Eur. Phys. J. C

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In this article we offer a new interpretation of the T-dualization procedure of type II superstring theory in the double space framework. We use the ghost free action of type II superstring in pure spinor formulation in approximation of constant background fields up to the quadratic terms. Tdualization along any subset of the initial coordinates, x a , is equivalent to the permutation of this subset with subset of the corresponding T-dual coordinates, y a , in double space coordinate Z M = (x μ , y μ ). Requiring that the T-dual transformation law after the exchange x a ↔ y a has the same form as the initial one, we obtain the T-dual NS-NS and NS-R background fields. The T-dual R-R field strength is determined up to one arbitrary constant under some assumptions. The compatibility between supersymmetry and T-duality produces a change of bar spinors and R-R field strength. If we dualize an odd number of dimensions x a , such a change flips type IIA/B to type II B/A. If we T-dualize the time-like direction, one imaginary unit i maps type II superstring theories to type II ones.

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“…In this subsection, we perform the fermionic T-duality on the background (2.3) 5 . Given Killing spinors (ǫ I ,ǫ I ), the fermionic T-duality transform is generated as [39]…”

Section: Fermionic T-duality Transformmentioning

confidence: 99%

T-duality to scattering amplitude and Wilson loop in non-commutative super Yang-Mills theory

Shu

2018

J. High Energ. Phys.

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We first perform bosonic T-duality transformation on one of the marginal TsT (T-duality, shift, T-duality)-deformed AdS 5 × S 5 spacetime, which corresponds to 4D N = 4 noncommutative super Yang-Mills theory (NCSYM). We then construct the solution to Killing spinor equations of the resulting background, and perform the fermionic T-duality transformation. The final dual geometry becomes the usual AdS 5 × S 5 spacetime but with a constant NS-NS B-field depending on the non-commutative parameter. As applications, we study the gluon scattering amplitude and open string (Wilson loop) solution in the TsTdeformed AdS 5 × S 5 spacetime, which are dual to the null polygon Wilson loop and the folded string solution respectively in the final dual geometry.

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Exploring fermionic T-duality

Cited by 25 publications

References 28 publications

Fermionic T-duality in massive type IIA supergravity on $$AdS_{10-k} \times M_k$$ A d S 10 - k × M k

Fermionic T-duality in massive type IIA supergravity on $$AdS_{10-k} \times M_k$$ A d S 10 - k × M k

T-dualization of type II superstring theory in double space

T-duality to scattering amplitude and Wilson loop in non-commutative super Yang-Mills theory

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