Relative langlands duality
D Ben-Zvi, Y Sakellaridis, A Venkatesh - arXiv preprint arXiv:2409.04677, 2024 - arxiv.org
We propose a duality in the relative Langlands program. This duality pairs a Hamiltonian
space for a group $ G $ with a Hamiltonian space under its dual group $\check {G} $, and …
space for a group $ G $ with a Hamiltonian space under its dual group $\check {G} $, and …
A QFT for non-semisimple TQFT
We construct a family of 3d quantum field theories $\mathcal T_ {n, k}^ A $ that conjecturally
provide a physical realization--and derived generalization--of non-semisimple mathematical …
provide a physical realization--and derived generalization--of non-semisimple mathematical …
Boundary chiral algebras and holomorphic twists
K Costello, T Dimofte, D Gaiotto - Communications in Mathematical …, 2023 - Springer
We study the holomorphic twist of 3d N= 2 gauge theories in the presence of boundaries,
and the algebraic structure of bulk and boundary local operators. In the holomorphic twist …
and the algebraic structure of bulk and boundary local operators. In the holomorphic twist …
Mirror symmetry and line operators
A bstract We study half-BPS line operators in 3d\(\mathcal {N}\)= 4 gauge theories, focusing
in particular on the algebras of local operators at their junctions. It is known that there are …
in particular on the algebras of local operators at their junctions. It is known that there are …
Twisted Supergravity and Koszul Duality: A Case Study in AdS
K Costello, NM Paquette - Communications in Mathematical Physics, 2021 - Springer
In this note, we study a simplified variant of the familiar holographic duality between
supergravity on AdS _3 * S^ 3 * T^ 4 AdS 3× S 3× T 4 and the SCFT (on the moduli space of) …
supergravity on AdS _3 * S^ 3 * T^ 4 AdS 3× S 3× T 4 and the SCFT (on the moduli space of) …
Coulomb branch quantization and abelianized monopole bubbling
M Dedushenko, Y Fan, SS Pufu, R Yacoby - Journal of High Energy …, 2019 - Springer
A bstract We develop an approach to the study of Coulomb branch operators in 3D\(\mathcal
{N}\)= 4 gauge theories and the associated quantization structure of their Coulomb …
{N}\)= 4 gauge theories and the associated quantization structure of their Coulomb …
Aspects of -deformed M-theory
D Gaiotto, J Oh - arXiv preprint arXiv:1907.06495, 2019 - arxiv.org
We explore the properties of $\Omega $-deformed M-theory, with particular focus on the
$\mathbb {C} _ {\epsilon_1}\times\mathbb {C} _ {\epsilon_2}\times\mathbb {C} _ {\epsilon_3} …
$\mathbb {C} _ {\epsilon_1}\times\mathbb {C} _ {\epsilon_2}\times\mathbb {C} _ {\epsilon_3} …
Chiral algebras from Ω-deformation
A bstract In the presence of an Ω-deformation, local operators generate a chiral algebra in
the topological-holomorphic twist of a four-dimensional\(\mathcal {N}\)= 2 supersymmetric …
the topological-holomorphic twist of a four-dimensional\(\mathcal {N}\)= 2 supersymmetric …
[PDF][PDF] Semi-chiral operators in 4d N= 1 gauge theories
K Budzik, D Gaiotto, J Kulp… - arXiv preprint arXiv …, 2023 - brianrwilliams.github.io
We discuss the properties of quarter-BPS local operators in four-dimensional N= 1
supersymmetric Yang-Mills theory using the formalism of holomorphic twists. We study loop …
supersymmetric Yang-Mills theory using the formalism of holomorphic twists. We study loop …
SCFT/VOA correspondence via Ω-deformation
S Jeong - Journal of High Energy Physics, 2019 - Springer
A bstract We investigate an alternative approach to the correspondence of four
dimensional\(\mathcal {N}\)= 2 superconformal theories and two-dimensional vertex …
dimensional\(\mathcal {N}\)= 2 superconformal theories and two-dimensional vertex …