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Massive vector fields can be described in a gauge invariant way with the introduction of compensating fields. In the unitary gauge one recovers the original formulation. Although this gauging mechanism can be extended to noncommutative…

High Energy Physics - Theory · Physics 2008-11-26 Ricardo Amorim , Nelson R. F. Braga , Cristine N. Ferreira

We show how all the quantal systems related to the exceptional Laguerre and Jacobi polynomials can be constructed in a direct and systematic way, without the need of shape invariance and Darboux-Crum transformation. Furthermore, the…

Mathematical Physics · Physics 2011-09-03 C. -L. Ho

This paper introduces two operations in quiver gauge theories. The first operation takes a quiver with a permutation symmetry $S_n$ and gives a quiver with adjoint loops. The corresponding 3d $\mathcal{N}=4$ Coulomb branches are related by…

High Energy Physics - Theory · Physics 2024-09-27 Amihay Hanany , Guhesh Kumaran , Chunhao Li , Deshuo Liu , Marcus Sperling

We apply numerical and analytic techniques to the study of Yang-Mills integrals with orthogonal, symplectic and exceptional gauge symmetries. The main focus is on the supersymmetric integrals, which correspond essentially to the bulk part…

High Energy Physics - Theory · Physics 2009-10-31 Werner Krauth , Matthias Staudacher

We construct the BPS quivers with superpotential for the 4d N=2 gauge theories with non-simply laced Lie groups (B_n, C_n, F_4 and G_2). The construction is inspired by the BIKMSV geometric engineering of these gauge groups as non-split…

High Energy Physics - Theory · Physics 2015-06-05 Sergio Cecotti , Michele Del Zotto

The gauge principle is at the heart of a good part of fundamental physics: Starting with a group G of so-called rigid symmetries of a functional defined over space-time Sigma, the original functional is extended appropriately by additional…

High Energy Physics - Theory · Physics 2015-11-23 Alexei Kotov , Thomas Strobl

Using the equivalence between Scherk-Schwarz reductions and twisted tori compactifications, we discuss the effective theories obtained by this procedure from M-theory and N =4 type II orientifold constructions with Neveu-Schwarz and…

High Energy Physics - Theory · Physics 2010-04-05 Gianguido Dall'Agata , Sergio Ferrara

We realize four-dimensional N=2 superconformal quiver gauge theories with alternating SO and USp gauge groups as compactifications of the six-dimensional D_N theory with defects. The construction can be used to analyze infinitely…

High Energy Physics - Theory · Physics 2009-08-06 Yuji Tachikawa

We investigate the N=2 superconformal index for supersymmetric quiver Chern-Simons theories with large N gauge groups. After general arguments about the large N limit, we compute the first few terms in the series expansion of the index for…

High Energy Physics - Theory · Physics 2015-03-18 Yosuke Imamura , Daisuke Yokoyama , Shuichi Yokoyama

We deal with a Lie group G acting by isometries on a Riemannian manifold M, such that the quotient M/G is an orbifold, or, equivalently, all slice representations are polar. We show that any smooth orbifold symmetric 2-tensor on M/G lifts…

Differential Geometry · Mathematics 2012-05-23 Ricardo A. E. Mendes

The technique of orthosymplectic quotient quiver subtraction is introduced. This involves subtraction of an orthosymplectic quotient quiver from a $3d\;\mathcal N=4$ orthosymplectic quiver gauge theory which has the effect of gauging…

High Energy Physics - Theory · Physics 2024-12-13 Sam Bennett , Amihay Hanany , Guhesh Kumaran

By analyzing $F$-theory on $K3$ near the orbifold limit of $K3$ we establish the equivalence between $F$-theory on $K3$ and an orientifold of type IIB on $T^2$, which in turn, is related by a T-duality transformation to type I theory on…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

We propose a double quantization of four-dimensional ${\cal N}=2$ Seiberg-Witten geometry, for all classical gauge groups and a wide variety of matter content. This can be understood as a set of certain non-perturbative Schwinger-Dyson…

High Energy Physics - Theory · Physics 2021-02-24 Nathan Haouzi , Jihwan Oh

We construct a Z_2 orbifold projection of SU(N) gauge theories formulated in five dimensions with a compact fifth dimension. We show through a non-perturbative argument that no boundary mass term for the Higgs field, identified with some of…

High Energy Physics - Lattice · Physics 2009-11-10 Nikos Irges , Francesco Knechtli

We generalize recent methods regarding the construction of complete prepotentials of five dimensional SCFTs to two classes of rank-$N$ theories, i.e. the $X_{1,N}$ and the UV fixed point of the $SU(N+1)_0+2(N+1)$F gauge theories. Their…

High Energy Physics - Theory · Physics 2024-03-27 Francesco Mignosa

We use equivariant methods to establish basic properties of orbifold K-theory. We introduce the notion of twisted orbifold K-theory in the presence of discrete torsion, and show how it can be explicitly computed for global quotients.

Algebraic Topology · Mathematics 2009-11-07 Alejandro Adem , Yongbin Ruan

Pure gauge theories for de Sitter, anti de Sitter and orthogonal groups, in four-dimensional Euclidean spacetime, are studied. It is shown that, if the theory is asymptotically free and a dynamical mass is generated, then an effective…

High Energy Physics - Theory · Physics 2012-12-13 R. F. Sobreiro , A. A. Tomaz , V. J. Vasquez Otoya

The large N generating functions for the counting of chiral operators in $\mathcal{N}=1$, four-dimensional quiver gauge theories have previously been obtained in terms of the weighted adjacency matrix of the quiver diagram. We introduce the…

High Energy Physics - Theory · Physics 2019-06-04 Sanjaye Ramgoolam , Mark C. Wilson , Ali Zahabi

We consider the construction of gauge theories of gravity that are invariant under local conformal transformations. We first clarify the geometric nature of global conformal transformations, in both their infinitesimal and finite forms, and…

General Relativity and Quantum Cosmology · Physics 2022-01-10 Michael Hobson , Anthony Lasenby

We elaborate the generalizations of the approach to gauge-invariant deformations of the gauge theories developed in our previous work [1]. In the given paper we construct the exact transformations defying the gauge-invariant deformed theory…

High Energy Physics - Theory · Physics 2021-10-01 I. L. Buchbinder , P. M. Lavrov
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