69 citations · 258 across the 13 of their papers we have counts for
13 papers
Perverse coherent extensions on Calabi-Yau threefolds and representations of cohomological Hall algebras
Dylan Butson, Miroslav Rapcak
For a toric Calabi-Yau threefold resolution and $M\in \DD^b\Coh(Y)^T$ satisfying some hypotheses, we define a stack $\mf M(Y,M)$ parameterizing \emph{perverse coherent ext…
Homological Link Invariants from Floer Theory
Mina Aganagic, Elise LePage, Miroslav Rapcak
There is a generalization of Heegaard-Floer theory from to other Lie (super)algebras . The corresponding category of A-branes is solvable…
Branes, Quivers and BPS Algebras
Miroslav Rapcak
These lecture notes cover a brief introduction into some of the algebro-geometric techniques used in the construction of BPS algebras. The first section introduces the derived cate…
Miura operators, degenerate fields and the M2-M5 intersection
Davide Gaiotto, Miroslav Rapcak
We determine the mathematical structures which govern the deformation of supersymmetric intersections of M2 and M5 branes. We find that the supersymmetric intersections govern…
Conformal Defects from String Field Theory
Kasia Budzik, Miroslav Rapcak, Jairo M. Rojas
Unlike conformal boundary conditions, conformal defects of Virasoro minimal models lack classification. Alternatively to the defect perturbation theory and the truncated conformal…
Cohomological Hall algebras and perverse coherent sheaves on toric Calabi-Yau 3-folds
Miroslav Rapcak, Yan Soibelman, Yaping Yang +1
We study the Drinfeld double of the (equivariant spherical) Cohomological Hall algebra in the sense of Kontsevich and Soibelman, associated to a smooth toric Calabi-Yau 3-fold .…
On Extensions of Kac-Moody algebras and Calabi-Yau Singularities
Miroslav Rapcak
We discuss a class of vertex operator algebras generated by a super-matrix of fields for each integral spin . The algebras admit a lar…
Cohomological Hall algebras, vertex algebras and instantons
Miroslav Rapcak, Yan Soibelman, Yaping Yang +1
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 th…
-algebra Modules, Free Fields, and Gukov-Witten Defects
Tomáš Procházka, Miroslav Rapčák
We study the structure of modules of corner vertex operator algebras arrising at junctions of interfaces in SYM. In most of the paper, we concentrate on truncations…
Webs of W-algebras
Tomáš Procházka, Miroslav Rapčák
We associate vertex operator algebras to -webs of interfaces in the topologically twisted super Yang-Mills theory. Y-algebras associated to trivalent junctio…
Vertex Algebras at the Corner
Davide Gaiotto, Miroslav Rapčák
We introduce a class of Vertex Operator Algebras which arise at junctions of supersymmetric interfaces in Super Yang Mills gauge theory. These vertex algebras satisfy…
Nonintegrability of NS5-like Interface in Supersymmetric Yang-Mills
Miroslav Rapcak
Four-dimensional super Yang-Mills theory admits interfaces that preserve integrability of the theory. It was shown that addition of fundamental hypermultiplets livi…
Ising model conformal boundary conditions from open string field theory
Matej Kudrna, Miroslav Rapcak, Martin Schnabl
Given a consistent choice of conformally invariant boundary conditions in a two dimensional conformal field theory, one can construct new consistent boundary conditions by deformin…