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We expand on an idea of Seiberg that an N=1 supersymmetric gauge theory shows confinement without breaking of chiral symmetry when the gauge symmetry of its magnetic dual is completely broken by the Higgs effect. This has recently been…

High Energy Physics - Theory · Physics 2009-10-31 Matthias Klein

We devise a general method for obtaining $0$-form noninvertible discrete chiral symmetries in $4$-dimensional $SU(N)/\mathbb Z_p$ and $SU(N)\times U(1)/\mathbb Z_p$ gauge theories with matter in arbitrary representations, where $\mathbb…

High Energy Physics - Theory · Physics 2023-11-15 Mohamed M. Anber , Samson Y. L. Chan

Adapting the method of Andrews-Clutterbuck we prove an eigenvalue gap theorem for a class of non symmetric second order linear elliptic operators on a convex domain in euclidean space. The class of operators includes the Bakry-Emery…

Differential Geometry · Mathematics 2012-12-10 Jon Wolfson

We study local superspace contributions to low-energy effective action in general chiral three-dimensional superfield model. The effective Kahler and chiral potentials are computed in explicit form up to the two-loop order. In accordance…

High Energy Physics - Theory · Physics 2015-06-03 I. L. Buchbinder , B. S. Merzlikin , I. B. Samsonov

We obtain new lower bounds for the first non-zero eigenvalue of the scalar sub-Laplacian for 3-Sasaki metrics, improving Lichnerowicz-Obata type estimates by Ivanov et al. The limiting eigenspace is fully decribed in terms of the…

Differential Geometry · Mathematics 2023-06-27 Paul-Andi Nagy , Uwe Semmelmann

SU(3) gauge theory with overlap fermions in the 2-index symmetric (sextet) and fundamental representations is considered. A priori it is not known what the pattern of chiral symmetry breaking is in a higher dimensional representation…

High Energy Physics - Lattice · Physics 2010-04-30 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

We investigate the $S^3$ free energy of $\mathcal N=3$ Chern-Simons-matter quiver gauge theories with gauge group $U(N)^r~(r\geq2)$ where the sum of Chern-Simons levels does not vanish, beyond the leading order in the large-$N$ expansion.…

High Energy Physics - Theory · Physics 2021-12-17 Junho Hong , James T. Liu

In several elementary particle scenarios, self-dual fields emerge as fundamental degrees of freedom. Some examples are the $D = 2$ chiral boson, $D = 10$ Type IIB supergravity, and $D = 6$ chiral tensor multiplet theory. For those models, a…

High Energy Physics - Theory · Physics 2024-03-11 Gabriele Barbagallo , Pietro Antonio Grassi

Reductions from six to four spacetime dimensions are considered for a class of supergravity models based on the six-dimensional Salam-Sezgin model, which is a chiral theory with a gauged U(1) R-symmetry and a positive scalar-field…

High Energy Physics - Theory · Physics 2015-05-30 C. N. Pope , T. G. Pugh , K. S. Stelle

Electric and magnetic charges of a certain class of operators in N=2 large N quiver Chern-Simons theories are investigated. We consider only non-chiral theories, in which every bi-fundamental field appears with its conjugate representation.…

High Energy Physics - Theory · Physics 2009-04-04 Yosuke Imamura

We construct several novel examples of 3d $\mathcal{N}=2$ models whose free energy scales as $N^{3/2}$ at large $N$. This is the first step towards the identification of field theories with an M-theory dual. Furthermore, we match the…

High Energy Physics - Theory · Physics 2020-01-29 Antonio Amariti , Marco Fazzi , Noppadol Mekareeya , Anton Nedelin

Dynamical nature of the gauge degree of freedom and its effect to fermion spectrum are studied at $\beta=\infty$ for two-dimensional nonabelian chiral gauge theory in the vacuum overlap formulation. It is argue that the disordered gauge…

High Energy Physics - Lattice · Physics 2007-05-23 Yoshio Kikukawa

We develop a general setting for N=2 rigid supersymmetric field theories with gauged central charge in harmonic superspace. We consider those N=2 multiplets which have a finite number of off-shell components and exist off shell owing to a…

High Energy Physics - Theory · Physics 2009-10-31 N. Dragon , E. Ivanov , S. Kuzenko , E. Sokatchev , U. Theis

We confirm the claim of Ref. [D.R. Phillips, C. Schat, Phys. Rev. C88 (2013) 3, 034002] that 20 operators are sufficient to represent the most general local isospin-invariant three-nucleon force and derive explicit relations between the two…

Nuclear Theory · Physics 2015-06-23 E. Epelbaum , A. M. Gasparyan , H. Krebs , C. Schat

The coulomb branch of $N=4$ supersymmetric Yang-Mills gauge theories in $d=2+1$ is studied. A direct connection between gauge theories and monopole moduli spaces is presented. It is proposed that the hyper-K\"ahler metric of supersymmetric…

High Energy Physics - Theory · Physics 2009-10-30 Gordon Chalmers , Amihay Hanany

Recently it was argued that the exact R charge for three dimensional N=2 supersymmetric field theories extremizes the partition function localized on S^3. In this paper we check this conjecture by computing the R charge for SU(N)_k YM CS…

High Energy Physics - Theory · Physics 2015-05-27 A. Amariti

We solve for the expectation values of chiral operators in supersymmetric U(N) gauge theories with matter in the adjoint, fundamental and anti-fundamental representations. A simple geometric picture emerges involving a description by a…

High Energy Physics - Theory · Physics 2010-04-07 Freddy Cachazo , Nathan Seiberg , Edward Witten

Eigenvalues and eigenfunctions of the volume operator, associated with the symmetric coupling of three SU(2) angular momentum operators, can be analyzed on the basis of a discrete Schroedinger-like equation which provides a semiclassical…

Quantum Physics · Physics 2014-08-27 V. Aquilanti , D. Marinelli , A. Marzuoli

Quantum field theories with global symmetries simplify considerably in the large-charge limit allowing to compute correlators via a semiclassical expansion in the inverse powers of the conserved charges. A generalization of the approach to…

High Energy Physics - Theory · Physics 2023-01-27 Oleg Antipin , Alexander Bednyakov , Jahmall Bersini , Pantelis Panopoulos , Andrey Pikelner

We present a general construction of non-Gaussian probability measures on the space of distributional kernels obeying a natural extension of the Osterwalder-Schrader axioms of Euclidean quantum field theory in arbitrary space-time dimension…

Mathematical Physics · Physics 2017-01-24 Svetoslav Zahariev