349 citations · 4k across the 52 of their papers we have counts for
56 papers
Anomalies of Non-Invertible Symmetries in (3+1)d
Clay Cordova, Po-Shen Hsin, Carolyn Zhang
Anomalies of global symmetries are important tools for understanding the dynamics of quantum systems. We investigate anomalies of non-invertible symmetries in 3+1d using 4+1d bulk…
Quantum Duality in Electromagnetism and the Fine-Structure Constant
Clay Cordova, Kantaro Ohmori
We describe the interplay between electric-magnetic duality and higher symmetry in Maxwell theory. When the fine-structure constant is rational, the theory admits non-invertible sy…
Obstructions to Gapped Phases from Non-Invertible Symmetries
Anuj Apte, Clay Cordova, Ho Tat Lam
Quantum systems in 3+1-dimensions that are invariant under gauging a one-form symmetry enjoy novel non-invertible duality symmetries encoded by topological defects. These symmetrie…
Higher Flavor Symmetries in the Standard Model
Clay Cordova, Seth Koren
We initiate the study of the generalized global flavor symmetries of the Standard Model. The presence of nonzero triangle diagrams between the flavor currents and the $U(1…
Geometry of Conformal Manifolds and the Inversion Formula
Bruno Balthazar, Clay Cordova
Families of conformal field theories are naturally endowed with a Riemannian geometry which is locally encoded by correlation functions of exactly marginal operators. We show that…
Neutrino Masses from Generalized Symmetry Breaking
Clay Cordova, Sungwoo Hong, Seth Koren +1
We explore generalized global symmetries in theories of physics beyond the Standard Model. Theories of bosons generically contain 'non-invertible' chiral symmetries, whose pre…
Symmetry Enriched -Theorems & SPT Transitions
Clay Cordova, Diego García-Sepúlveda
We derive universal constraints on rational conformal field theories (CFTs) that can arise as transitions between topological theories protected by a global symmetry. The…
Line Defect Quantum Numbers & Anomalies
T. Daniel Brennan, Clay Cordova, Thomas T. Dumitrescu
We explore the connection between the global symmetry quantum numbers of line defects and 't Hooft anomalies. Relative to local (point) operators, line defects may transform projec…
Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond
Clay Cordova, Thomas T. Dumitrescu, Kenneth Intriligator +1
Symmetry plays a central role in quantum field theory. Recent developments include symmetries that act on defects and other subsystems, and symmetries that are categorical rather t…
Non-Invertible Chiral Symmetry and Exponential Hierarchies
Clay Cordova, Kantaro Ohmori
We elucidate the fate of classical symmetries which suffer from abelian Adler-Bell-Jackiw anomalies. Instead of being completely destroyed, these symmetries survive as non-invertib…
Non-invertible Condensation, Duality, and Triality Defects in 3+1 Dimensions
Yichul Choi, Clay Cordova, Po-Shen Hsin +2
We discuss a variety of codimension-one, non-invertible topological defects in general 3+1d QFTs with a discrete one-form global symmetry. These include condensation defects from h…
Generalized Symmetry Breaking Scales and Weak Gravity Conjectures
Clay Cordova, Kantaro Ohmori, Tom Rudelius
We explore the notion of approximate global symmetries in quantum field theory and quantum gravity. We show that a variety of conjectures about quantum gravity, including the weak…
Non-Invertible Duality Defects in 3+1 Dimensions
Yichul Choi, Clay Cordova, Po-Shen Hsin +2
For any quantum system invariant under gauging a higher-form global symmetry, we construct a non-invertible topological defect by gauging in only half of spacetime. This generalize…
Calabi-Yau CFTs and Random Matrices
Nima Afkhami-Jeddi, Anthony Ashmore, Clay Cordova
Using numerical methods for finding Ricci-flat metrics, we explore the spectrum of local operators in two-dimensional conformal field theories defined by sigma models on Calabi-Yau…
Axions, Higher-Groups, and Emergent Symmetry
T. Daniel Brennan, Clay Cordova
Axions, periodic scalar fields coupled to gauge fields through the instanton density, have a rich variety of higher-form global symmetries. These include a two-form global symmetry…
2-Group Global Symmetries and Anomalies in Six-Dimensional Quantum Field Theories
Clay Cordova, Thomas T. Dumitrescu, Kenneth Intriligator
We examine six-dimensional quantum field theories through the lens of higher-form global symmetries. Every Yang-Mills gauge theory in six dimensions, with field strength ,…
Anomaly Multiplet Relations in Six Dimensions
Clay Cordova, Thomas T. Dumitrescu, Kenneth Intriligator
We consider conformal and 't Hooft anomalies in six-dimensional superconformal field theories, focusing on those conformal anomalies that determine the two- and th…
Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry
Clay Cordova, Kantaro Ohmori
We prove that in quantum field theories with symmetry, certain anomalies forbid a symmetry-preserving vacuum state with a gapped spectrum. In particular, th…
New de Sitter Solutions in Ten Dimensions and Orientifold Singularities
Clay Cordova, G. Bruno De Luca, Alessandro Tomasiello
In previous work, we found ten-dimensional solutions to the supergravity equations of motion with a dS factor and O8-planes. We generalize this analysis and obtain other soluti…
Decorated Symmetry Defects and Their Time-Reversal Anomalies
Clay Cordova, Kantaro Ohmori, Shu-Heng Shao +1
We discuss an isomorphism between the possible anomalies of -dimensional quantum field theories with unitary global symmetry, and those of -dimensional q…
Anomaly Obstructions to Symmetry Preserving Gapped Phases
Clay Cordova, Kantaro Ohmori
Anomalies are renormalization group invariants that constrain the dynamics of quantum field theories. We show that certain anomalies for discrete global symmetries imply that the u…
Anomalies in the Space of Coupling Constants and Their Dynamical Applications II
Clay Cordova, Daniel S. Freed, Ho Tat Lam +1
We extend our earlier work on anomalies in the space of coupling constants to four-dimensional gauge theories. Pure Yang-Mills theory (without matter) with a simple and simply conn…
Anomalies in the Space of Coupling Constants and Their Dynamical Applications I
Clay Cordova, Daniel S. Freed, Ho Tat Lam +1
It is customary to couple a quantum system to external classical fields. One application is to couple the global symmetries of the system (including the Poincaré symmetry) to backg…
Exceptional Chern-Simons-Matter Dualities
Clay Cordova, Po-Shen Hsin, Kantaro Ohmori
We use conformal embeddings involving exceptional affine Kac-Moody algebras to derive new dualities of three-dimensional topological field theories. These generalize the familiar l…