10 citations · 43 across the 14 of their papers we have counts for
15 papers · 1 filter
On the action of non-invertible symmetries on local operators in 3+1d
Pavel Putrov, Rajath Radhakrishnan
Most of the known non-invertible symmetries of quantum field theories in three and four spacetime dimensions act invertibly on local operators. An exception is coset symmetries, wh…
Unveiling dynamical quantum error correcting codes via non-invertible symmetries
Rajath Radhakrishnan, Adar Sharon, Nathanan Tantivasadakarn
Dynamical stabilizer codes (DSCs) have recently emerged as a powerful generalization of static stabilizer codes for quantum error correction, replacing a fixed stabilizer group wit…
Gauging Non-Invertible Symmetries in (2+1)d Topological Orders
Mahesh K. N. Balasubramanian, Matthew Buican, Clement Delcamp +1
We present practical and formal methods for gauging non-invertible symmetries in (2+1)d topological quantum field theories. Along the way, we generalize various aspects of invertib…
Braidings on topological operators, anomaly of higher-form symmetries and the SymTFT
Pavel Putrov, Rajath Radhakrishnan
The anomaly of non-invertible higher-form symmetries is determined by the braiding of topological operators implementing them. In this paper, we study a method to classify braiding…
On the Classification of Bosonic and Fermionic One-Form Symmetries in d and 't Hooft Anomaly Matching
Mahesh Balasubramanian, Matthew Buican, Rajath Radhakrishnan
Motivated by the fundamental role that bosonic and fermionic symmetries play in physics, we study (non-invertible) one-form symmetries in d consisting of topological lines w…
Non-anomalous non-invertible symmetries in 1+1D from gapped boundaries of SymTFTs
Pavel Putrov, Rajath Radhakrishnan
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 determi…
Qudit Stabilizer Codes, CFTs, and Topological Surfaces
Matthew Buican, Rajath Radhakrishnan
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 gene…
Invertibility of Condensation Defects and Symmetries of 2 + 1d QFTs
Matthew Buican, Rajath Radhakrishnan
We characterize discrete (anti-)unitary symmetries and their non-invertible generalizations in d topological quantum field theories (TQFTs) through their actions on line opera…
Row-Column duality and combinatorial topological strings
Adrian Padellaro, Rajath Radhakrishnan, Sanjaye Ramgoolam
Integrality properties of partial sums over irreducible representations, along columns of character tables of finite groups, were recently derived using combinatorial topological s…
On Reconstructing Finite Gauge Group from Fusion Rules
Rajath Radhakrishnan
Gauging a finite group 0-form symmetry of a quantum field theory (QFT) results in a QFT with a Rep symmetry implemented by Wilson lines. The group determines the fusio…
Quantum Codes, CFTs, and Defects
Matthew Buican, Anatoly Dymarsky, Rajath Radhakrishnan
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…
Galois Orbits of TQFTs: Symmetries and Unitarity
Matthew Buican, Rajath Radhakrishnan
We study Galois actions on D topological quantum field theories (TQFTs), characterizing their interplay with theory factorization, gauging, the structure of gapped boundaries…
Non-Abelian Anyons and Some Cousins of the Arad-Herzog Conjecture
Matthew Buican, Linfeng Li, Rajath Radhakrishnan
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 disc…
in D TQFT
Matthew Buican, Linfeng Li, Rajath Radhakrishnan
We study the implications of the anyon fusion equation on global properties of D topological quantum field theories (TQFTs). Here and are anyons that fus…
Galois Conjugation and Multiboundary Entanglement Entropy
Matthew Buican, Rajath Radhakrishnan
We revisit certain natural algebraic transformations on the space of 3D topological quantum field theories (TQFTs) called "Galois conjugations." Using a notion of multiboundary ent…