Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Radhakrishnan, Rajath"'
Motivated by the fundamental role that bosonic and fermionic symmetries play in physics, we study (non-invertible) one-form symmetries in $2 + 1$d consisting of topological lines with bosonic and fermionic self-statistics. We refer to these lines as
Externí odkaz:
http://arxiv.org/abs/2408.00866
Autor:
Putrov, Pavel, Radhakrishnan, Rajath
We study the anomalies of non-invertible symmetries in 1+1D QFTs using gapped boundaries of its SymTFT. We establish the explicit relation between Lagrangian algebras which determine gapped boundaries of the SymTFT, and algebras which determine non-a
Externí odkaz:
http://arxiv.org/abs/2405.04619
Autor:
Buican, Matthew, Radhakrishnan, Rajath
We study general maps from the space of rational CFTs with a fixed chiral algebra and associated Chern-Simons (CS) theories to the space of qudit stabilizer codes with a fixed generalized Pauli group. We consider certain natural constraints on such a
Externí odkaz:
http://arxiv.org/abs/2311.13680
Autor:
Buican, Matthew, Radhakrishnan, Rajath
We characterize discrete (anti-)unitary symmetries and their non-invertible generalizations in $2+1$d topological quantum field theories (TQFTs) through their actions on line operators and fusion spaces. We explain all possible sources of non-inverti
Externí odkaz:
http://arxiv.org/abs/2309.15181
Publikováno v:
J. Phys. A: Math. Theor. 57 065202, 2024
Integrality properties of partial sums over irreducible representations, along columns of character tables of finite groups, were recently derived using combinatorial topological string theories (CTST). These CTST were based on Dijkgraaf-Witten theor
Externí odkaz:
http://arxiv.org/abs/2304.10217
Autor:
Radhakrishnan, Rajath
Gauging a finite group 0-form symmetry $G$ of a quantum field theory (QFT) results in a QFT with a Rep$(G)$ symmetry implemented by Wilson lines. The group $G$ determines the fusion of Wilson lines. However, in general, the fusion rules of Wilson lin
Externí odkaz:
http://arxiv.org/abs/2302.08419
We give a general construction relating Narain rational conformal field theories (RCFTs) and associated 3d Chern-Simons (CS) theories to quantum stabilizer codes. Starting from an abelian CS theory with a fusion group consisting of $n$ even-order fac
Externí odkaz:
http://arxiv.org/abs/2112.12162
Autor:
Buican, Matthew, Radhakrishnan, Rajath
We study Galois actions on $2+1$D topological quantum field theories (TQFTs), characterizing their interplay with theory factorization, gauging, the structure of gapped boundaries and dualities, 0-form symmetries, 1-form symmetries, and 2-groups. In
Externí odkaz:
http://arxiv.org/abs/2109.02766
Publikováno v:
Quantum 5, 468 (2021)
We study the implications of the anyon fusion equation $a\times b=c$ on global properties of $2+1$D topological quantum field theories (TQFTs). Here $a$ and $b$ are anyons that fuse together to give a unique anyon, $c$. As is well known, when at leas
Externí odkaz:
http://arxiv.org/abs/2012.14689
Long ago, Arad and Herzog (AH) conjectured that, in finite simple groups, the product of two conjugacy classes of length greater than one is never a single conjugacy class. We discuss implications of this conjecture for non-abelian anyons in 2+1-dime
Externí odkaz:
http://arxiv.org/abs/2012.03394