44 citations · 321 across the 17 of their papers we have counts for
18 papers
Fiber 2-Functors and Tambara-Yamagami Fusion 2-Categories
Thibault D. Décoppet, Matthew Yu
We introduce group-theoretical fusion 2-categories, a strong categorification of the notion of a group-theoretical fusion 1-category. Physically speaking, such fusion 2-categories…
Semi-Chiral Operators in 4d Gauge Theories
Kasia Budzik, Davide Gaiotto, Justin Kulp +3
We discuss the properties of quarter-BPS local operators in four dimensional supersymmetric Yang-Mills theory using the formalism of holomorphic twists. We study loop…
Adams spectral sequences for non-vector-bundle Thom spectra
Arun Debray, Matthew Yu
When is one of the spectra , , , , , or , there is a standard approach to computi…
Gauging Noninvertible Defects: A 2-Categorical Perspective
Thibault D. Décoppet, Matthew Yu
We generalize the notion of an anomaly for a symmetry to a noninvertible symmetry enacted by surface operators using the framework of condensation in 2-categories. Given a multifus…
What bordism-theoretic anomaly cancellation can do for U
Arun Debray, Matthew Yu
We perform a bordism computation to show that the U-duality symmetry of 4d supergravity could have an anomaly invisible to perturbative meth…
Feynman Diagrams in Four-Dimensional Holomorphic Theories and the Operatope
Kasia Budzik, Davide Gaiotto, Justin Kulp +2
We study a class of universal Feynman integrals which appear in four-dimensional holomorphic theories. We recast the integrals as the Fourier transform of a certain polytope in the…
KLT Factorization of Nonrelativistic String Amplitudes
Ziqi Yan, Matthew Yu
We continue our study of the Kawai-Lewellen-Tye (KLT) factorization of winding string amplitudes. In a toroidal compactification, amplitudes for winding closed string states factor…
Gauging Categorical Symmetries in 3d Topological Orders and Bulk Reconstruction
Matthew Yu
We use the language of categorical condensation to give a procedure for gauging nonabelian anyons, which are the manifestations of categorical symmetries in three spacetime dimensi…
Infrared phases of 2d QCD
Diego Delmastro, Jaume Gomis, Matthew Yu
We derive the necessary and sufficient conditions for a 2d QCD theory of massless gluons and left and right chiral quarks in arbitrary representations of a gauge group G to develop…
Genus-One data and Anomaly Detection
Matthew Yu
We introduce the notion of genus-one data for theories in (1+1)-dimensions with an anomalous finite group global symmetry. We outline the groups for which genus-one data is effecti…
Topological Orders in (4+1)-Dimensions
Theo Johnson-Freyd, Matthew Yu
We investigate the Morita equivalences of (4+1)-dimensional topological orders. We show that any (4+1)-dimensional super (fermionic) topological order admits a gapped boundary cond…
KLT Factorization of Winding String Amplitudes
Jaume Gomis, Ziqi Yan, Matthew Yu
We uncover a Kawai-Lewellen-Tye (KLT)-type factorization of closed string amplitudes into open string amplitudes for closed string states carrying winding and momentum in toroidal…
Filtering cohomology of ordinary and Lagrangian Grassmannians
The 2020 Polymath Jr. REU "q-binomials, the Grassmannian group", : +31
This paper studies, for a positive integer , the subalgebra of the cohomology ring of the complex Grassmannians generated by the elements of degree at most . We build in two…
Fusion 2-categories with no line operators are grouplike
Theo Johnson-Freyd, Matthew Yu
We show that if is a fusion -category in which the endomorphism category of the unit object is or , then the indecomposable objects of $\math…
Symmetries and Anomalies of (1+1)d Theories: 2-groups and Symmetry Fractionalization
Matthew Yu
We investigate the interactions of discrete zero-form and one-form global symmetries in (1+1)d theories. Focus is put on the interactions that the symmetries can have on each other…
T-Duality in Nonrelativistic Open String Theory
Jaume Gomis, Ziqi Yan, Matthew Yu
Nonrelativistic open string theory is defined by a worldsheet theory that produces a Galilean invariant string spectrum and is described at low energies by a nonrelativistic Yang-M…
Nonrelativistic Open String and Yang-Mills Theory
Jaume Gomis, Ziqi Yan, Matthew Yu
The classical and quantum worldsheet theory describing nonrelativistic open string theory in an arbitrary nonrelativistic open and closed string background is constructed. We show…
Background Field Method for Nonlinear Sigma Models in Nonrelativistic String Theory
Ziqi Yan, Matthew Yu
We continue the study of nonrelativistic string theory in background fields. Nonrelativistic string theory is described by a nonlinear sigma model that maps a relativistic worldshe…