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We study four N=1 SU(N)^6 gauge theories, with bi-fundamental chiral matter and a superpotential. In the infrared, these gauge theories all realize the low-energy world-volume description of N coincident D3-branes transverse to the complex…

High Energy Physics - Theory · Physics 2011-10-11 C. E. Beasley , M. R. Plesser

We study bounded width algebras which are minimal in the sense that every proper reduct does not have bounded width. We show that minimal bounded width algebras can be arranged into a pseudovariety with one basic ternary operation. We…

Rings and Algebras · Mathematics 2020-02-17 Zarathustra Brady

We comment on a program designed for the study of local chiral algebras and their representations in 2D conformal field theory. Based on the algebraic approach described by W. Nahm, this program efficiently calculates arbitrary n-point…

High Energy Physics - Theory · Physics 2008-02-03 A. Honecker

We take a new look at dilation theory for nonself-adjoint operator algebras. Among the extremal (co)extensions of a representation, there is a special property of being fully extremal. This allows a refinement of some of the classical…

Operator Algebras · Mathematics 2011-09-02 Kenneth R. Davidson , Elias G. Katsoulis

We analyze the large $N$ spectrum of chiral primary operators of three dimensional fixed points of the renormalization group. Using the space-time picture of the fixed points and the correspondence between anti-de Sitter compactifications…

High Energy Physics - Theory · Physics 2014-11-18 Rami Entin , Jaume Gomis

The operator solution of the anomalous chiral Schwinger model is discussed on the basis of the general principles of Wightman field theory. Some basic structural properties of the model are analyzed taking a careful control on the Hilbert…

High Energy Physics - Theory · Physics 2008-02-03 C. G. Carvalhaes , L. V. Belvedere , C. P. Natividade , H. Boschi Filho

On the basis of an observation due to Kiskis, Narayanan and Neuberger, we show that there is a remnant of chiral anomalies in the reduced model when a Dirac operator which obeys the Ginsparg-Wilson relation is employed for the fermion…

High Energy Physics - Lattice · Physics 2009-11-07 Yoshio Kikukawa , Hiroshi Suzuki

We derive the soft effective action in $(d+2)$-dimensional abelian gauge theories from the on-shell action obeying Neumann boundary conditions at timelike and null infinity and Dirichlet boundary conditions at spatial infinity. This allows…

High Energy Physics - Theory · Physics 2025-07-01 Temple He , Prahar Mitra , Allic Sivaramakrishnan , Kathryn M. Zurek

Let $\mathcal{A}_{crit}$ be the chiral algebra corresponding to the affine Kac-Moody algebra at the critical level $\hat{\mathfrak{g}}_{crit}$. Let $\mathfrak{Z}_{crit}$ be the center of $\mathcal{A}_{crit}$. The commutative chiral algebra…

Representation Theory · Mathematics 2012-10-11 Giorgia Fortuna

We study the defect AdS/CFT correspondence for a system of N_c D3-branes intersecting certain configurations of D7-branes and O7-planes in 1+1-dimensions. The intersection is chiral, preserving N=(0,8) supersymmetry. The geometry produced…

High Energy Physics - Theory · Physics 2014-11-18 Jeffrey A. Harvey , Andrew B. Royston

We conjecture infrared emergent $\mathcal{N}=4$ supersymmetry for a class of three-dimensional $\mathcal{N}=2$ $U(1)$ gauge theories coupled with a single chiral multiplet. One example is the case where $U(1)$ gauge group has the…

High Energy Physics - Theory · Physics 2019-03-22 Dongmin Gang , Masahito Yamazaki

We construct chiral N=1 gauge theories in 4D by compactifying the 6D Blum-Intriligator (1,0) theories of 5-branes at $A_k$ singularities on $T^2$ with a nontrivial bundle of the global U(1) symmetry of these theories.

High Energy Physics - Theory · Physics 2009-10-31 Chang S. Chan , Ori J. Ganor , Morten Krogh

I demonstrate how chiral fermions with an exact gauge symmetry can appear on the d-dimensional boundary of a finite volume (d+1)-dimensional manifold, without any light mirror partners. The condition for the d-dimensional boundary theory to…

High Energy Physics - Lattice · Physics 2024-03-15 David B. Kaplan

We consider two-dimensional N=(2,2) supersymmetric gauge theory on discretized Riemann surfaces. We find that the discretized theory can be efficiently described by using graph theory, where the bosonic and fermionic fields are regarded as…

High Energy Physics - Theory · Physics 2022-06-28 Kazutoshi Ohta , So Matsuura

For the chiral oscillator described by a second order and degenerate Lagrangian with special Euclidean group of symmetries, we show, by cotangent bundle Hamiltonian reduction, that reduced equations are Lie-Poisson on dual of oscillator…

Mathematical Physics · Physics 2023-11-07 H. Gümral

Two different families of abelian chiral gauge theories on the torus are investigated: the aim is to test the consistency of two-dimensional anomalous gauge theories in the presence of global degrees of freedom for the gauge field. An…

High Energy Physics - Theory · Physics 2009-10-31 L. Griguolo , D. Seminara

We introduce several families of $\mathcal{N}=(2,2)$ UV boundary conditions in 3d $\mathcal N=4$ gauge theories and study their IR images in sigma-models to the Higgs and Coulomb branches. In the presence of Omega deformations, a UV…

High Energy Physics - Theory · Physics 2016-11-23 Mathew Bullimore , Tudor Dimofte , Davide Gaiotto , Justin Hilburn

We focus on N = 3 chiral supergravity (SUGRA) which is the lowest N theory involving a spin-1/2 field, and derive the Ashtekar's canonical formulation of N = 3 SUGRA starting with the chiral Lagrangian constructed by closely following the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Motomu Tsuda

We review the non-anticommutative Q-deformations of N=(1,1) supersymmetric theories in four-dimensional Euclidean harmonic superspace. These deformations preserve chirality and harmonic Grassmann analyticity. The associated field theories…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , E. A. Ivanov , O. Lechtenfeld , I. B. Samsonov , B. M. Zupnik

We undertake a systematic study of the $4$-dimensional $SU(N)$ $2$-index chiral gauge theories and investigate their faithful global symmetries and dynamics. These are a finite set of theories with fermions in the $2$-index symmetric and…

High Energy Physics - Theory · Physics 2024-01-10 Mohamed M. Anber , Samson Y. L. Chan