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We study topological field theory describing gapped phases of gauge theories where the gauge symmetry is partially Higgsed and partially confined. The TQFT can be formulated both in the continuum and on the lattice and generalizes…

High Energy Physics - Theory · Physics 2015-02-13 Anton Kapustin , Ryan Thorngren

The study of gapless phases with categorical (or so-called non-invertible) symmetries is a formidable task, in particular in higher than two space-time dimensions. In this paper we build on previous works arXiv:2408.05266 and…

Strongly Correlated Electrons · Physics 2026-05-27 Lakshya Bhardwaj , Yuhan Gai , Sheng-Jie Huang , Kansei Inamura , Sakura Schafer-Nameki , Apoorv Tiwari , Alison Warman

Mass generation of gauge fields can be universally described by topological couplings in gapped systems, such as the Abelian Higgs model in $(3+1)$ dimensions and the Maxwell-Chern-Simons theory in $(2+1)$ dimensions. These systems also…

High Energy Physics - Theory · Physics 2021-07-15 Naoki Yamamoto , Ryo Yokokura

We explore a novel interpretation of Symmetry Topological Field Theories (SymTFTs) as theories of gravity, proposing a holographic duality where the bulk SymTFT (with the gauging of a suitable Lagrangian algebra) is dual to the universal…

High Energy Physics - Theory · Physics 2024-12-10 Andrea Antinucci , Francesco Benini , Giovanni Rizi

Topological superconductors are gapped superconductors with gapless and topologically robust quasiparticles propagating on the boundary. In this paper, we present a topological field theory description of three-dimensional time-reversal…

Superconductivity · Physics 2013-04-29 Xiao-Liang Qi , Edward Witten , Shou-Cheng Zhang

The transition from the quantum to the classical regime of the nucleation of the closed Robertson-Walker Universe with spacially homogeneous matter fields is investigated with a perturbation expansion around the sphaleron configuration. A…

High Energy Physics - Theory · Physics 2009-10-31 J. -Q. Liang , H. J. W. Mueller-Kirsten , D. K. Park , A. V. Shurgaia

In this second paper, we prove a necessity Theorem about the topological origin of phase transitions. We consider physical systems described by smooth microscopic interaction potentials V_N(q), among N degrees of freedom, and the associated…

Mathematical Physics · Physics 2007-09-12 Roberto Franzosi , Marco Pettini

Quantum Hall inter-plateaux transitions are physical exemplars of quantum phase transitions. Near each of these transitions, the measured electrical conductivity scales with the same correlation length and dynamical critical exponents,…

Strongly Correlated Electrons · Physics 2019-03-21 Aaron Hui , Eun-Ah Kim , Michael Mulligan

We construct a dyon solution for a Yang-Mills-Higgs theory in a 4 dimensional Schwarzschild-anti-de Sitter black hole background with temperature T. We then apply the AdS/CFT correspondence to describe the strong coupling regime of a 2+1…

High Energy Physics - Theory · Physics 2015-05-18 A. R. Lugo , E. F. Moreno , F. A. Schaposnik

A unified field theory in ten dimensions, of all interactions, can describe high energy processes occuring in the early universe. In such a theory transitions that give properties of the universe can occur due to the presence of algebraic…

High Energy Physics - Theory · Physics 2007-05-23 Ajay Patwardhan

We study the phenomenological consequences of higher symmetry structures in axion effective field theories. Higher-group and non-invertible symmetries impose parametric constraints on the energy scales at which different symmetries can…

High Energy Physics - Theory · Physics 2026-04-15 Dan Sehayek , Nathaniel Craig

Inspired by Chern-Simons effective theory description of symmetry protected topological (SPT) phases in two dimensions, we present a projective construction for many-body wavefunctions of SPT phases. Using this projective construction we…

Strongly Correlated Electrons · Physics 2014-06-02 Yuan-Ming Lu , Dung-Hai Lee

The theory of anyon systems, as modular functors topologically and unitary modular tensor categories algebraically, is mature. To go beyond anyons, our first step is the interplay of anyons with conventional group symmetry due to the…

Quantum Physics · Physics 2018-09-26 Zhenghan Wang

Radiation domination at the electroweak epoch is a simplifying assumption, but one for which there is no observational basis. Treating the expansion rate as a variable, I re-examine electroweak baryogenesis in various scenarios. At a first…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael Joyce

The structure of extrinsic defects in topologically ordered states of matter is host to a rich set of universal physics. Extrinsic defects in 2+1 dimensional topological states include line-like defects, such as boundaries between…

Strongly Correlated Electrons · Physics 2013-12-06 Maissam Barkeshli , Chao-Ming Jian , Xiao-Liang Qi

The nature of phase transitions involving the questions why and how phase transitions take place has not been sufficiently touched in the literature. In contrast, the current attention to certain extent still focus on the description of…

Statistical Mechanics · Physics 2023-02-28 Yun-Tong Yang , Hong-Gang Luo

We develop a systematic framework for constructing (3+1)-dimensional topological orders or topological quantum field theories (TQFTs) that realize specified anomalies of finite symmetries, as encountered in gauge theories with fermions or…

Mathematical Physics · Physics 2026-02-24 Arun Debray , Weicheng Ye , Matthew Yu

A new topological field theory is constructed, which is characterized by cubic interactions similar to those of non-abelian Chern-Simons field theories, but still retains the simplicity of the abelian case. The perturbative expansion of…

Mathematical Physics · Physics 2007-05-23 Franco Ferrari

We demonstrate a novel mechanism for the formation of topological defects in a first order phase transition for theories in the presence of small explicit symmetry breaking terms. We carry out numerical simulations of collisions of two…

High Energy Physics - Phenomenology · Physics 2009-10-28 Sanatan Digal , Ajit M. Srivastava

In this paper, we present a theory of Poisson deformation of Hamiltonian quasi-Poisson manifolds to Hamiltonian Poisson manifolds that include degenerate cases. More significantly, this theory extends to singular cases arising from…

Symplectic Geometry · Mathematics 2026-01-21 Mohamed Moussadek Maiza
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