Miura operators, degenerate fields and the M2-M5 intersection

Autor: Davide Gaiotto, Miroslav Rapčák

Publikováno v: Journal of High Energy Physics, Vol 2022, Iss 1, Pp 1-80 (2022)

Abstract We determine the mathematical structures which govern the Ω deformation of supersymmetric intersections of M2 and M5 branes. We find that the supersymmetric intersections govern many aspects of the theory of W-algebras, including degenerate

Externí odkaz: https://doaj.org/article/b1bae84bf39941e39c56b09542b55a54

On extensions of gl m n ⏜ $$ \mathfrak{gl}\widehat{\left(\left.m\right|n\right)} $$ Kac-Moody algebras and Calabi-Yau singularities

Autor: Miroslav Rapčák

Publikováno v: Journal of High Energy Physics, Vol 2020, Iss 1, Pp 1-35 (2020)

Abstract We discuss a class of vertex operator algebras W m n × ∞ $$ {\mathcal{W}}_{\left.m\right|n\kern0.33em \times \kern0.33em \infty } $$ generated by a super- matrix of fields for each integral spin 1, 2, 3, . . . . The algebras admit a large

Externí odkaz: https://doaj.org/article/fa8c744fb9db458b8146fc63959fdc94

Vertex algebras at the corner

Autor: Davide Gaiotto, Miroslav Rapčák

Publikováno v: Journal of High Energy Physics, Vol 2019, Iss 1, Pp 1-88 (2019)

Abstract We introduce a class of Vertex Operator Algebras which arise at junctions of supersymmetric interfaces in N $$ \mathcal{N} $$ = 4 Super Yang Mills gauge theory. These vertex algebras satisfy non-trivial duality relations inherited from S-dua

Externí odkaz: https://doaj.org/article/b66abc0a21ec45eea5f3a4f2a513298d

Cohomological Hall Algebras, Vertex Algebras and Instantons

Autor: Yaping Yang, Miroslav Rapčák, Yan Soibelman, Gufang Zhao

Publikováno v: Communications in Mathematical Physics. 376:1803-1873

We define an action of the (double of) Cohomological Hall algebra of Kontsevich and Soibelman on the cohomology of the moduli space of spiked instantons of Nekrasov. We identify this action with the one of the affine Yangian of $\mathfrak{gl}(1)$. Ba

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::257adecb443c12f188294cd9bcebec71
https://doi.org/10.1007/s00220-019-03575-5

Conformal Defects from String Field Theory

Autor: Jairo M. Rojas, Kasia Budzik, Miroslav Rapčák

Publikováno v: Journal of High Energy Physics, Vol 2021, Iss 1, Pp 1-36 (2021)
Journal of High Energy Physics
Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP

Unlike conformal boundary conditions, conformal defects of Virasoro minimal models lack classification. Alternatively to the defect perturbation theory and the truncated conformal space approach, we employ open string field theory (OSFT) techniques t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db8362e343727a79f52fa7fb320f9093