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(3+1)D topological phases of matter can host a broad class of non-trivial topological defects of codimension-1, 2, and 3, of which the well-known point charges and flux loops are special cases. The complete algebraic structure of these…

Strongly Correlated Electrons · Physics 2023-04-12 Maissam Barkeshli , Yu-An Chen , Sheng-Jie Huang , Ryohei Kobayashi , Nathanan Tantivasadakarn , Guanyu Zhu

The recent discovery of topological insulators has revived interest in the topological properties of insulating band structures. In this work, we extend the topological classification of insulating band structures to include certain point…

Materials Science · Physics 2011-03-15 Liang Fu

Topological phases of matter are usually realized in deconfined phases of gauge theories. In this context, confined phases with strongly fluctuating gauge fields seem to be irrelevant to the physics of topological phases. For example, the…

Strongly Correlated Electrons · Physics 2016-09-06 Peng Ye , Taylor L. Hughes , Joseph Maciejko , Eduardo Fradkin

Quantum-disordering a discrete-symmetry breaking state by condensing domain-walls can lead to a trivial symmetric insulator state. In this work, we show that if we bind a 1D representation of the symmetry (such as a charge) to the…

Strongly Correlated Electrons · Physics 2016-03-29 Zheng-Cheng Gu , Juven C. Wang , Xiao-Gang Wen

We use the Symmetry Topological Field Theory (SymTFT) to study and classify gapped phases in (2+1)d for a class of categorical symmetries, referred to as being of bosonic type. The SymTFTs for these symmetries are given by twisted and…

High Energy Physics - Theory · Physics 2025-08-27 Lakshya Bhardwaj , Daniel Pajer , Sakura Schafer-Nameki , Apoorv Tiwari , Alison Warman , Jingxiang Wu

Tensionless string theory on AdS3 x S3 x T4, as captured by a free symmetric product orbifold, has a large set of conserved currents which can be usefully organised in terms of representations of a N=(4,4) supersymmetric higher spin…

High Energy Physics - Theory · Physics 2015-02-12 Matthias R Gaberdiel , Rajesh Gopakumar

We show that the non-gravitational sectors of certain 6d and 5d supergravity theories can be decomposed into superconformal field theories (SCFTs) which are coupled together by pairwise identifying and gauging mutual global symmetries. In…

High Energy Physics - Theory · Physics 2019-05-02 Hirotaka Hayashi , Patrick Jefferson , Hee-Cheol Kim , Kantaro Ohmori , Cumrun Vafa

In this note we present a brief overview of connections between Chern-Simons theory and topological strings. A prominent role in this link has been played by large N dualities and holography. We demystify this by explaining why the Kahler…

Algebraic Geometry · Mathematics 2025-05-16 Cumrun Vafa

Homogeneous gravitational wave backgrounds arise as infinite momentum limits of many geometries with a well-understood holographic description. General global aspects of these geometries are discussed. Using exact CFT techniques, strings in…

High Energy Physics - Theory · Physics 2009-11-07 E. Kiritsis , B. Pioline

We elaborate an algebraic framework for describing internal topological symmetries of gapped boundaries of (2+1)D topological orders. We present a categorical obstruction to the coherence of bulk group symmetry and boundary symmetries in…

Quantum Algebra · Mathematics 2024-08-21 Kylan Schatz

It is generally accepted that the double-scaled 1D matrix model is equivalent to the $c=1$ string theory with tachyon condensation. There remain however puzzles that are to be clarified in order to utilize this connection for our quest…

High Energy Physics - Theory · Physics 2007-05-23 Tamiaki Yoneya

We explore various aspects of 2-form topological gauge theories in (3+1)d. These theories can be constructed as sigma models with target space the second classifying space $B^2G$ of the symmetry group $G$, and they are classified by…

High Energy Physics - Theory · Physics 2019-05-28 Clement Delcamp , Apoorv Tiwari

We use the boundary state formalism to study, from the closed string point of view, superpositions of branes and anti-branes which are relevant in some non-perturbative string dualities. Treating the tachyon instability of these systems as…

High Energy Physics - Theory · Physics 2010-11-26 M. Frau , L. Gallot , A. Lerda , P. Strigazzi

We classify one-dimensional symmetry-protected topological (SPT) phases protected by dipole symmetries. A dipole symmetry comprises two sets of symmetry generators: charge and dipole operators, which together form a non-trivial algebra with…

Strongly Correlated Electrons · Physics 2023-11-10 Ho Tat Lam

The linear dilaton background is the keystone of a string-derived holographic correspondence beyond AdS$_{d+1}$/CFT$_d$. This motivates an exploration of the $(d+1)$-dimensional linear dilaton spacetime (LD$_{d+1}$) and its holographic…

High Energy Physics - Theory · Physics 2024-05-20 Sylvain Fichet , Eugenio Megias , Mariano Quiros

As of today there exist consistent, gauge-invariant string field theories describing all string theories: bosonic open and closed strings, open superstrings, heterotic strings and type II strings. The construction of these theories require…

High Energy Physics - Theory · Physics 2024-06-21 Ashoke Sen , Barton Zwiebach

String Newton-Cartan holography is a new example of gauge/gravity duality relating non-relativistic string theory and gauge theories. We review how to construct a family of string and $p$-brane Newton-Cartan holographic dualities by…

High Energy Physics - Theory · Physics 2026-03-27 Andrea Fontanella , Juan Miguel Nieto García

The surface of a 3+1d topological insulator hosts an odd number of gapless Dirac fermions when charge conjugation and time-reversal symmetries are preserved. Viewed as a purely 2+1d system, this surface theory would necessarily explicitly…

Strongly Correlated Electrons · Physics 2013-10-29 Michael Mulligan , F. J. Burnell

We present a pedagogical review of the stable non-BPS states in string theory which have recently attracted some attention in the literature. In particular, following the analysis of A. Sen, we discuss in detail the case of the stable…

High Energy Physics - Theory · Physics 2010-11-26 A. Lerda , R. Russo

It has been suggested that non-invertible symmetry protected topological phases (SPT), due to the lack of a stacking structure, do not have symmetric entanglers (globally symmetric finite-depth quantum circuits) connecting them. Using…

Strongly Correlated Electrons · Physics 2025-10-15 Minyoung You
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