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A well-known property of unordered configuration spaces of points (in an open, connected manifold) is that their homology stabilises as the number of points increases. We generalise this result to moduli spaces of submanifolds of higher…

Algebraic Topology · Mathematics 2021-08-18 Martin Palmer

Monodromy defects describe a dynamical termination of topological symmetry operators, and are sourced by a localized background magnetic flux. We study their properties in gapped SPT phases and, by inflow, in gapless theories with an…

High Energy Physics - Theory · Physics 2026-05-26 Christian Copetti

A notion of dual curve for pseudoholomorphic curves in 4--manifolds turns out to be possible only if the notion of almost complex structure structure is slightly generalized. The resulting structure is as easy (perhaps easier) to work with,…

Differential Geometry · Mathematics 2007-05-23 Benjamin McKay

We discuss an interesting duality known to occur for certain complex reflection groups, namely the duality groups. Our main construction yields a concrete, representation theoretic realisation of this duality. This allows us to naturally…

Rings and Algebras · Mathematics 2020-07-20 Benjamin Briggs

We study the instanton partition functions of two well-known superconformal field theories with mass deformations. Two types of anomaly equations, namely, the modular anomaly and holomorphic anomaly, have been discovered in the literature.…

High Energy Physics - Theory · Physics 2013-05-22 Min-xin Huang

For quantum field theories with global symmetry, we can study the behavior of the partition function with the background gauge field to diagnose different quantum phases. For the case of discrete symmetries, we find that the…

High Energy Physics - Theory · Physics 2025-08-22 Jun Maeda , Yuya Tanizaki

We investigate properties of two-dimensional asymptotically flat black holes which arise in both string theory and in scale invariant theories of gravity. By introducing matter sources in the field equations we show how such objects can…

High Energy Physics - Theory · Physics 2010-04-06 R. B. Mann , M. S. Morris , S. F. Ross

Typical dualities in arbitrary dimensions are understood through a Hilbert-space extension method. By these results, we rigorously dualize the quantum ingappabilities to discrete height model in one dimension which is inaccessible by…

Strongly Correlated Electrons · Physics 2024-09-06 Yuan Yao

We build a connection between topology of smooth 4-manifolds and the theory of topological modular forms by considering topologically twisted compactification of 6d (1,0) theories on 4-manifolds with flavor symmetry backgrounds. The…

High Energy Physics - Theory · Physics 2018-11-20 Sergei Gukov , Du Pei , Pavel Putrov , Cumrun Vafa

We consider the effects of abelian duality transformations on static, spherically-symmetric, asymptotically flat string spacetimes in four dimensions, where the dilaton, axion, metric, and gauge fields are allowed to be nonzero. Independent…

High Energy Physics - Theory · Physics 2008-11-26 C. P. Burgess , R. C. Myers , F. Quevedo

Duality symmetries for strings moving in non-trivial spacetime backgrounds are analysed. It is shown that, for backgrounds generated from compact WZW and coset models, such duality symmetries are exact to all orders in string perturbation…

High Energy Physics - Theory · Physics 2007-05-23 E. Kiritsis

The surface charges associated with $p$-form gauge fields in the Bondi patch of $D$-dimensional Minkowski spacetime are computed. We show that, under the Hodge duality between the field strengths of the dual formulations, electric-like…

Mathematical Physics · Physics 2026-01-26 Federico Manzoni

We develop a technique that solders the dual aspects of some symmetry. Using this technique it is possible to combine two theories with such symmetries to yield a new effective theory. Some applications in two and three dimensional…

High Energy Physics - Theory · Physics 2009-10-31 R. Banerjee , C. Wotzasek

Scaling black holes are solutions of supergravity with multiple black hole singularities, which can be adiabatically connected to a single center black hole solution. We develop techniques to determine partition functions for such scaling…

High Energy Physics - Theory · Physics 2022-03-14 Aradhita Chattopadhyaya , Jan Manschot , Swapnamay Mondal

We consider four-dimensional Omega-deformed N=2 supersymmetric SU(2) gauge theory on A1 space and its lift to five dimensions. We find that the partition functions can be reproduced via special geometry and the holomorphic anomaly equation.…

High Energy Physics - Theory · Physics 2013-04-08 Daniel Krefl , Sheng-Yu Darren Shih

The partition function of the W_N minimal model CFT is computed in the large N 't Hooft limit and compared to the spectrum of the proposed holographic dual, a 3d higher spin gravity theory coupled to massive scalar fields. At finite N, the…

High Energy Physics - Theory · Physics 2011-08-25 Matthias R. Gaberdiel , Rajesh Gopakumar , Thomas Hartman , Suvrat Raju

It is shown that many of the conjectured dualities involving orbifold compactification of M-theory follow from the known dualities involving M-theory and string theory in ten dimensions, and the ansatz that orbifolding procedure commutes…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

We consider symmetric partial exclusion and inclusion processes in a general graph in contact with reservoirs, where we allow both for edge disorder and well-chosen site disorder. We extend the classical dualities to this context and then…

Probability · Mathematics 2023-12-04 Simone Floreani , Frank Redig , Federico Sau

We study the notion of duality in the context of graded manifolds. For graded bundles, somehow like in the case of Gelfand representation and the duality: points vs. functions, we obtain natural dual objects which belongs to a different…

Differential Geometry · Mathematics 2017-08-30 Janusz Grabowski , Michał Jóźwikowski , Mikołaj Rotkiewicz

Topological quantum matter exhibits a range of exotic phenomena when enriched by subdimensional symmetries. This includes new features beyond those that appear in the conventional setting of global symmetry enrichment. A recently discovered…

Strongly Correlated Electrons · Physics 2025-05-07 Po-Shen Hsin , David T. Stephen , Arpit Dua , Dominic J. Williamson