48 citations · 110 across the 13 of their papers we have counts for
13 papers
Differential cohomology (encyclopedia article)
Arun Debray
We give an overview of differential cohomology from the point of view of algebraic topology. This includes a survey of several different definitions of differential cohomology grou…
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…
Bordism for the 2-group symmetries of the heterotic and CHL strings
Arun Debray
In the presence of a nonzero B-field, the symmetries of the heterotic string form a 2-group, or a categorified group, as do the symmetries of the CH…
Toric 2-group anomalies via cobordism
Joe Davighi, Nakarin Lohitsiri
2-group symmetries arise in physics when a 0-form symmetry and a 1-form symmetry intertwine, forming a generalised group-like structure. Specialising to the cas…
The Chronicles of IIBordia: Dualities, Bordisms, and the Swampland
Arun Debray, Markus Dierigl, Jonathan J. Heckman +1
In this work we investigate the Swampland Cobordism Conjecture in the context of type IIB string theory geometries with non-trivial duality bundle. Quite remarkably, we find that m…
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…
Constructing the Virasoro groups using differential cohomology
Arun Debray, Yu Leon Liu, Christoph Weis
The Virasoro groups are a family of central extensions of , the group of orientation-preserving diffeomorphisms of , by the circle group . We…
Differential Cohomology: Categories, Characteristic Classes, and Connections
Araminta Amabel, Arun Debray, Peter J. Haine
We give an overview of differential cohomology from a modern, homotopy-theoretic perspective in terms of sheaves on manifolds. Although modern techniques are used, we base our disc…
The anomaly that was not meant IIB
Arun Debray, Markus Dierigl, Jonathan J. Heckman +1
Type IIB supergravity enjoys a discrete non-Abelian duality group, which has potential quantum anomalies. In this paper we explicitly compute these, and present the bordism group t…
Stable diffeomorphism classification of some unorientable 4-manifolds
Arun Debray
Kreck's modified surgery theory reduces the classification of closed, connected 4-manifolds, up to connect sum with some number of copies of , to a series of bordism…
Invertible phases for mixed spatial symmetries and the fermionic crystalline equivalence principle
Arun Debray
Freed-Hopkins give a mathematical ansatz for classifying gapped invertible phases of matter with a spatial symmetry in terms of Borel-equivariant generalized homology. We propose a…
The low-energy TQFT of the generalized double semion model
Arun Debray
The generalized double semion (GDS) model, introduced by Freedman and Hastings, is a lattice system similar to the toric code, with a gapped Hamiltonian whose definition depends on…
The Arf-Brown TQFT of Pin Surfaces
Arun Debray, Sam Gunningham
The Arf-Brown invariant is an 8th root of unity associated to a surface equipped with a pin structure. In this note we investigate a certain fully extended…