Trivial solutions of generalized supergravity vs non-abelian
T-duality anomaly

J 2018

Trivial solutions of generalized supergravity vs non-abelian T-duality anomaly

WULFF, Jörgen Linus

Základní údaje

Originální název

Trivial solutions of generalized supergravity vs non-abelian T-duality anomaly

Autoři

WULFF, Jörgen Linus (752 Švédsko, garant, domácí)

Vydání

Physics Letters B, Holland, Elsevier, 2018, 0370-2693

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10303 Particles and field physics

Stát vydavatele

Nizozemské království

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 4.162

Kód RIV

RIV/00216224:14310/18:00106602

Organizační jednotka

Přírodovědecká fakulta

DOI

http://dx.doi.org/10.1016/j.physletb.2018.04.025

UT WoS

000435653100053

Klíčová slova anglicky

superstring; anomaly; supergravity

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 23. 4. 2024 14:29, Mgr. Michal Petr

Anotace

V originále

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.

Citovat

WULFF, Jörgen Linus. Trivial solutions of generalized supergravity vs non-abelian T-duality anomaly. Physics Letters B. Holland: Elsevier, 2018, roč. 781, č. 2018, s. 417-422. ISSN 0370-2693. Dostupné z: https://dx.doi.org/10.1016/j.physletb.2018.04.025.

@article{1505622,
   author = {Wulff, Jörgen Linus},
   article_location = {Holland},
   article_number = {2018},
   doi = {http://dx.doi.org/10.1016/j.physletb.2018.04.025},
   keywords = {superstring; anomaly; supergravity},
   language = {eng},
   issn = {0370-2693},
   journal = {Physics Letters B},
   title = {Trivial solutions of generalized supergravity vs non-abelian T-duality anomaly},
   url = {http://dx.doi.org/10.1016/j.physletb.2018.04.025},
   volume = {781},
   year = {2018}
}

TY  - JOUR
ID  - 1505622
AU  - Wulff, Jörgen Linus
PY  - 2018
TI  - Trivial solutions of generalized supergravity vs non-abelian T-duality anomaly
JF  - Physics Letters B
VL  - 781
IS  - 2018
SP  - 417-422
EP  - 417-422
PB  - Elsevier
SN  - 03702693
KW  - superstring
KW  - anomaly
KW  - supergravity
UR  - http://dx.doi.org/10.1016/j.physletb.2018.04.025
N2  - 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.
ER  -

WULFF, Jörgen Linus. Trivial solutions of generalized supergravity vs non-abelian T-duality anomaly. \textit{Physics Letters B}. Holland: Elsevier, 2018, roč.~781, č.~2018, s.~417-422. ISSN~0370-2693. Dostupné z: https://dx.doi.org/10.1016/j.physletb.2018.04.025.

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