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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We consider a class of two dimensional conformal ${\mathcal N}=2$supersymmetric $U(1)$ gauge linear sigma models with $N$ fields of charges $+1$and $N$ fields of charges $-1$, whose Higgs branches are non-compact toricCalabi-Yau manifolds of complex dimension $2N-1$. We show, starting fromlarge-$N$ approximation, that the Coulomb branch of these models, which opensup at strong coupling, is described by ${\mathcal N}=2$ Liouville theory andthen extrapolate it to exact equivalence demanding the central charge of theLiouville theory to be $\hat{c}=2N-1$. Next we concentrate on $N=2$ (which isphysically mostly attractive case) and $N\geq 3$ cases and find there a perfectagreement of the set of complex moduli on the Calabi-Yau side with the marginaldeformations in ${\mathcal N}=2$ Liouville theory, supporting proposed exactequivalence.

2d Sigma Models on Non-compact Calabi-Yau and ${\mathcal N}=2$ Liouville Theory