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Duality for Toeplitz Extensions
Let \(({\mathscr {A}}, G, \xi )\) be a...
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Z3 and (×Z3)3 symmetry protected topological paramagnets
We identify two-dimensional three-state Potts paramagnets with gapless edge modes on a triangular lattice protected by (× Z 3 ) 3 ≡ Z 3 × Z 3 × Z 3 symmetry...
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Global anomalies on the Hilbert space
We show that certain global anomalies can be detected in an elementary fashion by analyzing the way the symmetry algebra is realized on the torus...
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Off-shell Partition Functions in 3d Gravity
We explore three-dimensional gravity with negative cosmological constant via canonical quantization. We focus on chiral gravity which is related to a...
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Mysterious Triality and Rational Homotopy Theory
Mysterious Duality has been discovered by Iqbal, Neitzke, and Vafa (Adv Theor Math Phys 5:769–808, 2002) as a convincing, yet mysterious...
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Disentangling the Generalized Double Semion Model
We analyze the class of Generalized Double Semion (GDS) models in arbitrary dimensions from the point of view of lattice Hamiltonians. We show that...
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Killing superalgebras for lorentzian five-manifolds
We calculate the relevant Spencer cohomology of the minimal Poincaré superalgebra in 5 spacetime dimensions and use it to define Killing spinors via...
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Open-closed string field theory in the large N limit
We use the new nilpotent formulation of open-closed string field theory to explore the limit where the number N of identical D-branes of the starting...
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Spectrum, Vertices, and BRST Quantization
We present the modern covariant quantization of perturbative string theory á la BRST. We determine the physical spectrum of the several string...
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Topological Modularity of Monstrous Moonshine
We explore connections among Monstrous Moonshine, orbifolds, the Kitaev chain and topological modular forms. Symmetric orbifolds of the Monster CFT,...
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Twisting and localization in supergravity: equivariant cohomology of BPS black holes
We develop the formalism of supersymmetric localization in supergravity using the deformed BRST algebra defined in the presence of a supersymmetric...
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Single-Valued Integration and Superstring Amplitudes in Genus Zero
We study open and closed string amplitudes at tree-level in string perturbation theory using the methods of single-valued integration which were...
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Morita Equivalence, Picard Groupoids and Noncommutative Field Theories
In this article we review recent developments on Morita equivalence of star products and their Picard groups. We point out the relations between...
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Braided quantum electrodynamics
The homotopy algebraic formalism of braided noncommutative field theory is used to define the explicit example of braided electrodynamics, that is,...
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Toric 2-group anomalies via cobordism
2-group symmetries arise in physics when a 0-form symmetry G [0] and a 1-form symmetry H [1] intertwine, forming a generalised group-like structure....
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Index Theorems and Noncommutative Topology
These lecture notes are mainly devoted to a K-theory proof of the Atiyah-Singer index theorem. Some applications of the K-theory to noncommutative...
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The topological symmetric orbifold
We analyze topological orbifold conformal field theories on the symmetric product of a complex surface M . By exploiting the mathematics literature we...
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Correlation functions of scalar field theories from homotopy algebras
We present expressions for correlation functions of scalar field theories in perturbation theory using quantum A ∞ algebras. Our expressions are...
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On reconstructing finite gauge group from fusion rules
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...