Non-abelian T-duality and Yang-Baxter deformations of
Green-Schwarz strings

J 2018

Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings

BORSATO, Riccardo a Jörgen Linus WULFF

Základní údaje

Originální název

Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings

Autoři

BORSATO, Riccardo (380 Itálie) a Jörgen Linus WULFF (752 Švédsko, garant, domácí)

Vydání

Journal of High Energy Physics, New York, SPRINGER, 2018, 1029-8479

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10303 Particles and field physics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Impakt faktor

Impact factor: 5.833

Kód RIV

RIV/00216224:14310/18:00106603

Organizační jednotka

Přírodovědecká fakulta

DOI

http://dx.doi.org/10.1007/JHEP08(2018)027

UT WoS

000441224800002

EID Scopus

2-s2.0-85052124282

Klíčová slova anglicky

Sigma Models; String Duality; Superstrings and Heterotic Strings; Integrable Field Theories

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 13. 3. 2019 12:50, doc. Jörgen Linus Wulff, M.Sc., Ph.D.

Anotace

V originále

We perform non-abelian T-duality for a generic Green-Schwarz string with respect to an isometry (super)group G, and we derive the transformation rules for the supergravity background fields. Specializing to G bosonic, or G fermionic but abelian, our results reproduce those available in the literature. We discuss also continuous deformations of the T-dual models, obtained by adding a closed B-field before the dualization. This idea can also be used to generate deformations of the original (un-dualized) model, when the 2-cocycle identified from the closed B is invertible. The latter construction is the natural generalization of the so-called Yang-Baxter deformations, based on solutions of the classical Yang-Baxter equation on the Lie algebra of G and originally constructed for group manifolds and (super)coset sigma models. We find that the deformed metric and B-field are obtained through a generalization of the map between open and closed strings that was used also in the discussion by Seiberg and Witten of non-commutative field theories. When applied to integrable sigma models these deformations preserve the integrability.

Citovat

BORSATO, Riccardo a Jörgen Linus WULFF. Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings. Journal of High Energy Physics. New York: SPRINGER, 2018, roč. 2018, č. 8, s. 1-27. ISSN 1029-8479. Dostupné z: https://dx.doi.org/10.1007/JHEP08(2018)027.

@article{1505624,
   author = {Borsato, Riccardo and Wulff, Jörgen Linus},
   article_location = {New York},
   article_number = {8},
   doi = {http://dx.doi.org/10.1007/JHEP08(2018)027},
   keywords = {Sigma Models; String Duality; Superstrings and Heterotic Strings; Integrable Field Theories},
   language = {eng},
   issn = {1029-8479},
   journal = {Journal of High Energy Physics},
   title = {Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings},
   volume = {2018},
   year = {2018}
}

TY  - JOUR
ID  - 1505624
AU  - Borsato, Riccardo - Wulff, Jörgen Linus
PY  - 2018
TI  - Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings
JF  - Journal of High Energy Physics
VL  - 2018
IS  - 8
SP  - 1-27
EP  - 1-27
PB  - SPRINGER
SN  - 10298479
KW  - Sigma Models
KW  - String Duality
KW  - Superstrings and Heterotic Strings
KW  - Integrable Field Theories
N2  - We perform non-abelian T-duality for a generic Green-Schwarz string with respect to an isometry (super)group G, and we derive the transformation rules for the supergravity background fields. Specializing to G bosonic, or G fermionic but abelian, our results reproduce those available in the literature. We discuss also continuous deformations of the T-dual models, obtained by adding a closed B-field before the dualization. This idea can also be used to generate deformations of the original (un-dualized) model, when the 2-cocycle identified from the closed B is invertible. The latter construction is the natural generalization of the so-called Yang-Baxter deformations, based on solutions of the classical Yang-Baxter equation on the Lie algebra of G and originally constructed for group manifolds and (super)coset sigma models. We find that the deformed metric and B-field are obtained through a generalization of the map between open and closed strings that was used also in the discussion by Seiberg and Witten of non-commutative field theories. When applied to integrable sigma models these deformations preserve the integrability.
ER  -

BORSATO, Riccardo a Jörgen Linus WULFF. Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings. \textit{Journal of High Energy Physics}. New York: SPRINGER, 2018, roč.~2018, č.~8, s.~1-27. ISSN~1029-8479. Dostupné z: https://dx.doi.org/10.1007/JHEP08(2018)027.

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