Zobrazeno 1 - 10
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pro vyhledávání: '"Belavin, P. A."'
This paper represents a continuation of our previous work, where the Bolzmann weights (BWs) for several Interaction-Round-the Face (IRF) lattice models were computed using their relation to rational conformal field theories. Here, we focus on derivin
Externí odkaz:
http://arxiv.org/abs/2409.05637
We investigate here the deformations of Berglund H\"ubsch loop and chain mirrors where the original manifolds are defined in the same weighted projective space. We show that the deformations are equivalent by two methods. First, we map directly the t
Externí odkaz:
http://arxiv.org/abs/2408.15182
Shadow formalism is a technique in two-dimensional CFT allowing straightforward computation of conformal blocks in the limit of infinitely large central charge. We generalize the construction of shadow operator for superconformal field theories. We d
Externí odkaz:
http://arxiv.org/abs/2408.07684
In Gepner's pioneering work, the requirement that leads to a model having the desired $N=1$ Spacetime supersymmetry and $E(8)\times E(6)$ Gauge symmetry was the requirement that the spacetime symmetry is compatible with modular invariance. In this wo
Externí odkaz:
http://arxiv.org/abs/2406.15144
Autor:
Belavin, Vladimir, Cabezas, J. Ramos
We study $\mathfrak{sl}_2$ and $\mathfrak{sl}_3$ global conformal blocks on a sphere and a torus, using the shadow formalism. These blocks arise in the context of Virasoro and $\mathcal{W}_3$ conformal field theories in the large central charge limit
Externí odkaz:
http://arxiv.org/abs/2401.02580
Motivated by the principles of the conformal bootstrap, primarily the principle of Locality, simultaneously with the requirement of space-time supersymmetry, we reconsider constructions of compactified superstring models. Starting from requirements o
Externí odkaz:
http://arxiv.org/abs/2311.15403
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 11, Pp 1-31 (2024)
Abstract Shadow formalism is a technique in two-dimensional CFT allowing straightforward computation of conformal blocks in the limit of infinitely large central charge. We generalize the construction of shadow operator for superconformal field theor
Externí odkaz:
https://doaj.org/article/f46fae50352c457c98df1a83a4db925d
Interaction-Round the Face (IRF) models are two-dimensional lattice models of statistical mechanics defined by an affine Lie algebra and admissibility conditions depending on a choice of representation of that affine Lie algebra. Integrable IRF model
Externí odkaz:
http://arxiv.org/abs/2308.10329
Autor:
Belavin, Alexander, Gepner, Doron
In this article we consider a question: what is the relation between two Calabi-Yau manifolds of two different Berglund--Hubsch types if they appear as hyper--surfaces in the quotient of the same weighted projective space. We show that that these man
Externí odkaz:
http://arxiv.org/abs/2306.06667
There are many problems in physics, biology, and other natural sciences in which symbolic regression can provide valuable insights and discover new laws of nature. A widespread Deep Neural Networks do not provide interpretable solutions. Meanwhile, s
Externí odkaz:
http://arxiv.org/abs/2301.06064