English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We ask the question of classical super (non-)Abelian T-duality for BTZ blackhole metric coupling to two fermionic fields. Our approach is based on superPoisson-Lie (PL) T-duality in the presence of spectator fields. In order tostudy the Abelian T-duality of the metric we dualize over the Abelian Liesupergroups of the types $(1|2)$ and $(2|2)$, in such a way that it is shownthat both original and dual backgrounds of the models are conformally invariantup to one-loop order in the presence of field strength. Then, we study thenon-Abelian T-duality of the BTZ vacuum metric coupling to two fermionicfields. The dualizing is performed on some non-Abelian Lie supergroups of thetype $(2|2)$, in such a way that we are dealing with semi-Abelian superdoubleswhich are non-isomorphic as Lie superalgebras in each of the models. In thenon-Abelian T-duality case, it is interesting to mention that the models can beconformally invariant up to one-loop order in both cases of the absence andpresence of field strength. In addition, starting from the decomposition ofsemi-Abelian Drinfeld superdoubles generated by some of the ${\C}^3 \oplus{\A}_{1,1}$ Lie superbialgebras we study the super PL T-plurality of the BTZvacuum metric coupled to two fermionic fields. However, our findings areinteresting in themselves, but at a constructive level, can prompt many newinsights into supergravity and manifestly have interesting mathematicalrelationships with double field theory.

T-duality/plurality of BTZ black hole metric coupled to two fermionic fields