Zobrazeno 1 - 10
of 955
pro vyhledávání: '"Gukov, A."'
Autor:
Shehper, Ali, Medina-Mardones, Anibal M., Lewandowski, Bartłomiej, Gruen, Angus, Kucharski, Piotr, Gukov, Sergei
Using a long-standing conjecture from combinatorial group theory, we explore, from multiple angles, the challenges of finding rare instances carrying disproportionately high rewards. Based on lessons learned in the mathematical context defined by the
Externí odkaz:
http://arxiv.org/abs/2408.15332
In this paper, we present a geometric description of foams, which are prevalent in topological quantum field theories (TQFTs) based on quantum algebra, and reciprocally explore the geometry of Rozansky-Witten (RW) theory from an algebraic perspective
Externí odkaz:
http://arxiv.org/abs/2407.19757
Autor:
Gukov, Sergei, Seong, Rak-Kyeong
Publikováno v:
Phys. Rev. D 110, 046016 (2024)
We explore statistical properties of BPS q-series for 3d N=2 strongly coupled supersymmetric theories that correspond to a particular family of 3-manifolds Y. We discover that gaps between exponents in the q-series are statistically more significant
Externí odkaz:
http://arxiv.org/abs/2405.09993
Autor:
Gukov, Sergei, Putrov, Pavel
We consider a finite-dimensional oscillatory integral which provides a "finite-dimensional model" for analytically continued $SU(2)$ Chern-Simons theory on closed 3-manifolds that are described by plumbing trees. This model allows an efficient descri
Externí odkaz:
http://arxiv.org/abs/2403.12128
Machine learning techniques are increasingly powerful, leading to many breakthroughs in the natural sciences, but they are often stochastic, error-prone, and blackbox. How, then, should they be utilized in fields such as theoretical physics and pure
Externí odkaz:
http://arxiv.org/abs/2402.13321
Using resurgent analysis we offer a novel mathematical perspective on a curious bijection (duality) that has many potential applications ranging from the theory of vertex algebras to the physics of SCFTs in various dimensions, to q-series invariants
Externí odkaz:
http://arxiv.org/abs/2310.12317
Autor:
Gukov, Sergei, Jagadale, Mrunmay
Based on the observed behavior of the superconformal index in three-dimensional $\mathcal{N}=2$ theories, we propose a quantity that can be considered as an analogue of the "effective central charge." We discuss the general properties of this quantit
Externí odkaz:
http://arxiv.org/abs/2308.05360
We apply Bayesian optimization and reinforcement learning to a problem in topology: the question of when a knot bounds a ribbon disk. This question is relevant in an approach to disproving the four-dimensional smooth Poincar\'e conjecture; using our
Externí odkaz:
http://arxiv.org/abs/2304.09304
We study $q$-series invariants of 3-manifolds $\hat{Z}_b$ defined by Gukov--Pei--Putrov--Vafa using techniques from the theory of normal surface singularities such as splice diagrams. This provides a link between algebraic geometry with quantum topol
Externí odkaz:
http://arxiv.org/abs/2304.00699
Publikováno v:
Advances in Theoretical and Mathematical Physics Vol.27, no.2. (2023)
We initiate explicit computations of Vafa-Witten invariants of 3-manifolds, analogous to Floer groups in the context of Donaldson theory. In particular, we explicitly compute the Vafa-Witten invariants of 3-manifolds in a family of concrete examples
Externí odkaz:
http://arxiv.org/abs/2207.05775