Fermionic $T$ duality of double field theory

Open Access

Fermionic $T$ duality of double field theory

Lev Astrakhantsev, Ilya Bakhmatov, and Edvard T. Musaev

Phys. Rev. D 107, 066028 – Published 31 March 2023

Abstract

We provide a complete proof that non-Abelian fermionic $T$ duality along a non-anticommuting Killing spinor always generates a solution to double field theory equations. Examples of non-Abelian fermionic $T$ dualities of string backgrounds with nonvanishing $b$ -field are investigated.

Received 26 December 2022
Accepted 23 March 2023

DOI:https://doi.org/10.1103/PhysRevD.107.066028

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

Physics Subject Headings (PhySH)

String dualities Strings & branes Supergravity

Gravitation, Cosmology & AstrophysicsParticles & Fields

Authors & Affiliations

Lev Astrakhantsev ^*,†

Moscow Institute of Physics and Technology, Institutskii pereulok 9, Dolgoprudny, 141700, Russia

Ilya Bakhmatov ^‡,§

Institute for Theoretical and Mathematical Physics, Lomonosov Moscow State University, Russia, Lomonosovsky avenue, Moscow, 119991, Russia

Edvard T. Musaev ^∥

Moscow Institute of Physics and Technology, Institutskii pereulok 9, Dolgoprudny, 141700, Russia

^*lev.astrakhantsev@phystech.edu
^†Also at Institute for Theoretical and Mathematical Physics, Lomonosov Moscow State University, Russia.
^‡ibakhmatov@itmp.msu.ru
^§Also at Kazan Federal University, Institute of Physics.
^∥musaev.et@phystech.edu

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Issue

Vol. 107, Iss. 6 — 15 March 2023

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covering particles, fields, gravitation, and cosmology