Results 81 to 90 of about 31,960 (236)

The Iwasawa invariants of Zpd${\mathbb {Z}}_{p}^{\,d}$‐covers of links

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract Let p$p$ be a prime number and let d∈Z>0$d\in {\mathbb {Z}}_{>0}$. In this paper, following the analogy between knots and primes, we study the p$p$‐torsion growth in a compatible system of (Z/pnZ)d$({\mathbb {Z}}/p^n{\mathbb {Z}})^d$‐covers of 3‐manifolds and establish several analogues of Cuoco–Monsky's multivariable versions of Iwasawa's ...
Sohei Tateno, Jun Ueki
wiley   +1 more source

Renormalization ambiguities in Chern-Simons theory [PDF]

Physical Review D, 1994
We introduce a new family of gauge invariant regularizations of Chern-Simons theories which generate one-loop renormalizations of the coupling constant of the form $k\to k+2 s c_v$ where $s$ can take any arbitrary integer value. In the particular case $s=0$ we get an explicit example of a gauge invariant regularization which does not generate radiative
G. Luzón, Manuel Asorey, José L. López, Fernando Falceto   +3 more
openaire   +4 more sources

Wall‐crossing for quasimaps to GIT stack bundles

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract We define the notion of ε$\epsilon$‐stable quasimaps to a GIT stack bundle, and study the wall‐crossing behavior of the resulting ε$\epsilon$‐quasimap theory as ε$\epsilon$ varies.
Shidhesh Supekar, Hsian‐Hua Tseng
wiley   +1 more source

Holographic description of Narain CFTs and their code-based ensembles

Journal of High Energy Physics
We provide a precise relation between an ensemble of Narain conformal field theories (CFTs) with central charge c = n, and a sum of (U(1) × U(1)) n Chern-Simons theories on different handlebody topologies.
Ofer Aharony, Anatoly Dymarsky, Alfred D. Shapere   +2 more
doaj   +1 more source

Integrable deformations from twistor space

SciPost Physics
Integrable field theories in two dimensions are known to originate as defect theories of 4d Chern-Simons and as symmetry reductions of the 4d anti-self-dual Yang-Mills equations.
Lewis T. Cole, Ryan A. Cullinan, Ben Hoare, Joaquin Liniado, Daniel C. Thompson
doaj   +1 more source

Charges of monopole operators in ADE ̂ $$ \hat{ADE} $$ Chern-Simons quiver gauge theories

Journal of High Energy Physics, 2020
We compute R-charges of the BPS-monopole operators in N $$ \mathcal{N} $$ = 3 ADE ̂ $$ \hat{ADE} $$ Chern-Simons quiver gauge theories, along the lines of the work of Benna, Klebanov and Klose in [1]. These theories have a weakly coupled UV completion in
Moumita Patra
doaj   +1 more source

Diamagnetic vortices in Chern-Simons theory [PDF]

Physical Review D, 2015
We find a new type of topological vortex solution in the $U(1)_Z \times U(1)_A$ Chern Simons gauge theory in the presence of a $U(1)_A$ magnetic field background. In this theory $U(1)_Z$ is broken spontaneously by the $U(1)_A$ magnetic field. These vortices exhibit long range interactions as they are charged under the unbroken $U(1)_A$.
Yannis Burnier, Mikhail Shaposhnikov, Mohamed M. Anber, Eray Sabancilar   +3 more
openaire   +4 more sources

Anyons, 't Hooft loops and a Generalized Connection in Three Dimensions

, 2002
We consider a generalized connection in three dimensions and show that it emerges in Chern-Simons-Maxwell theories when one studies the disorder instanton operator.
A. Alekseev, A. Kapustin, A. Karch, A. L. Fetter, A. Liguori, A. M. Polyakov, A. M. Polyakov, A. M. Polyakov, D. Diakonov, E. Witten, E. Witten, F. Wilczek, F. Wilczek, G. W. Moore, G. ’t Hooft, J. M. Maldacena, K. A. Intriligator, N. Itzhaki, N. Seiberg, O. Aharony, R. D. Pisarski, S. Deser, S. Deser, S. Deser, S. J. Rey, T. H. Skyrme, V. Borokhov, V. Borokhov, Y. H. Chen   +28 more
core   +2 more sources

Generalised Chern-Simons Theory of Composite Fermions in Bilayer Hall Systems [PDF]

, 1997
We present a field theory of Jain's composite fermion model as generalised to the bilayer quantum Hall systems. We define operators which create composite fermions and write the Hamiltonian exactly in terms of these operators.
A. Lopez, Ana Lopez, B. I. Halperin, D. Yoshioka, G. S. Boebinger, J. K. Jain, J. P. Eisenstein, K. Moon, N. Read, R. B. Laughlin, R. Rajaraman, R. Rajaraman, S. C. Zhang, S. C. Zhang, S. Kivelson, S. M. Girvin, S. M. Girvin, S. Q. Murphy, Y. W. Suen, Z. F. Ezawa   +19 more
core   +2 more sources

The Temperley–Lieb tower and the Weyl algebra

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract We define a monoidal category W${\mathbf {W}}$ and a closely related 2‐category 2Weyl${\mathbf {2Weyl}}$ using diagrammatic methods. We show that 2Weyl${\mathbf {2Weyl}}$ acts on the category TL:=⨁nTLn−mod$\mathbf {TL}:=\bigoplus _n \operatorname{TL}_n\mathrm{-mod}$ of modules over Temperley–Lieb algebras, with its generating 1‐morphisms ...
Matthew Harper, Peter Samuelson
wiley   +1 more source