Trivial solutions of generalized supergravity vs non-abelian T-duality anomaly
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F18%3A00106602" target="_blank" >RIV/00216224:14310/18:00106602 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.physletb.2018.04.025" target="_blank" >http://dx.doi.org/10.1016/j.physletb.2018.04.025</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physletb.2018.04.025" target="_blank" >10.1016/j.physletb.2018.04.025</a>
Alternative languages
Result language
angličtina
Original language name
Trivial solutions of generalized supergravity vs non-abelian T-duality anomaly
Original language description
The equations that follow from kappa symmetry of the type II Green-Schwarz string are a certain deformation, by a Killing vector field K, of the type II supergravity equations. We analyze under what conditions solutions of these 'generalized' supergravity equations are trivial in the sense that they solve also the standard supergravity equations. We argue that for this to happen K must be null and satisfy dK = i(K)H with H = dB the NSNS three-form field strength. Non-trivial examples are provided by symmetric pp-wave solutions. We then analyze the consequences for non-abelian T-duality and the closely related homogenous Yang-Baxter sigma models. When one performs non-abelian T-duality of a string sigma model on a non-unimodular (sub)algebra one generates a non-vanishing K proportional to the trace of the structure constants. This is expected to lead to an anomaly but we show that when K satisfies the same conditions the anomaly in fact goes away leading to more possibilities for non anomalous non-abelian T-duality. (C) 2018 The Author(s). Published by Elsevier B.V.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10303 - Particles and field physics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physics Letters B
ISSN
0370-2693
e-ISSN
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Volume of the periodical
781
Issue of the periodical within the volume
2018
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
6
Pages from-to
417-422
UT code for WoS article
000435653100053
EID of the result in the Scopus database
2-s2.0-85045689988