Relaxing unimodularity for Yang-Baxter deformed strings
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F20%3A00114550" target="_blank" >RIV/00216224:14310/20:00114550 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/JHEP10(2020)065" target="_blank" >https://doi.org/10.1007/JHEP10(2020)065</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/JHEP10(2020)065" target="_blank" >10.1007/JHEP10(2020)065</a>
Alternative languages
Result language
angličtina
Original language name
Relaxing unimodularity for Yang-Baxter deformed strings
Original language description
We consider so-called Yang-Baxter deformations of bosonic string sigma- models, based on an R-matrix solving the (modified) classical Yang-Baxter equation. It is known that a unimodularity condition on R is sufficient for Weyl invariance at least to two loops (first order in alpha (')). Here we ask what the necessary condition is. We find that in cases where the matrix (G + B)(mn), constructed from the metric and B-field of the undeformed background, is degenerate the unimodularity condition arising at one loop can be replaced by weaker conditions. We further show that for non-unimodular deformations satisfying the one-loop conditions the Weyl invariance extends at least to two loops (first order in alpha (')). The calculations are simplified by working in an O(D, D)-covariant doubled formulation.
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
10308 - Astronomy (including astrophysics,space science)
Result continuities
Project
<a href="/en/project/GA20-04800S" target="_blank" >GA20-04800S: Integrable deformations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of High Energy Physics
ISSN
1029-8479
e-ISSN
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Volume of the periodical
Neuveden
Issue of the periodical within the volume
10
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
1-19
UT code for WoS article
000582727900003
EID of the result in the Scopus database
2-s2.0-85092506204