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In this review we summarize the ongoing effort to study extra-dimensional gauge theories with lattice simulations. In these models the Higgs field is identified with extra-dimensional components of the gauge field. The Higgs potential is…

High Energy Physics - Lattice · Physics 2016-08-10 Francesco Knechtli , Enrico Rinaldi

Maximally supersymmetric SO(10) and SU(6) unified theories are constructed on the orbifold T^2/(Z_2 x Z'_2), with one length scale R_5 taken much larger than the other, R_6. The effective theory below 1/R_6 is found to be the highly…

High Energy Physics - Phenomenology · Physics 2009-09-29 Lawrence J. Hall , Yasunori Nomura

We provide a general method for studying manifestly $O(n+1)$ covariant formulation of $p$-form gauge theories by stereographically projecting these theories, defined in flat Euclidean space, onto the surface of a hypersphere. The gauge…

High Energy Physics - Theory · Physics 2009-11-10 Rabin Banerjee

We revisit the reduction of type II supergravity on SU(3) structure manifolds, conjectured to lead to gauged N=2 supergravity in 4 dimensions. The reduction proceeds by expanding the invariant 2- and 3-forms of the SU(3) structure as well…

High Energy Physics - Theory · Physics 2010-10-27 Amir-Kian Kashani-Poor , Ruben Minasian

We study the general gaugings of N=2 Maxwell-Einstein supergravity theories (MESGT) in five dimensions, extending and generalizing previous work. The global symmetries of these theories are of the form SU(2)_R X G, where SU(2)_R is the…

High Energy Physics - Theory · Physics 2011-02-09 Murat Gunaydin , Marco Zagermann

The generalized symmetric space sine-Gordon theories are a series of 1+1-integrable field theories that are classically equivalent to superstrings on symmetric space spacetimes F/G. They are formulated in terms of a semi-symmetric space as…

High Energy Physics - Theory · Physics 2011-06-07 Timothy J. Hollowood , J. Luis Miramontes

The aim of this paper is to discuss a kinematical algebraic structure of a theory of gravity, that would be unitary, renormalizable and coupled in the same manner to both spinorial and tensorial matter fields. An analysis of the common…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dj. Sijacki

We construct a massive non-abelian N= 1 SYM theory on R^3. This is achieved by using a non-local gauge and Poincare invariant mass term for gluons due to Nair. The underlying supersymmetry algebra is shown to be a non-central extension of…

High Energy Physics - Theory · Physics 2013-05-29 Abhishek Agarwal

We formulate new gauge principles for n supersymmetric particles in a worldline formalism with N supersymmetries. The models provide realizations of the more general supersymmetries that are encountered in sectors of S-theory or Matrix…

High Energy Physics - Theory · Physics 2009-10-30 I. Bars , C. Deliduman

We propose a new point of view to gauge theories based on taking the action of symmetry transformations directly on the coordinates of space. Via this approach the gauge fields are not introduced at the first step, and they can be…

High Energy Physics - Theory · Physics 2011-09-13 Amir H. Fatollahi

Symmetry plays a key role in modern physics, as manifested in the revolutionary topological classification of matter in the past decade. So far, we seem to have a complete theory of topological phases from internal symmetries as well as…

Mesoscale and Nanoscale Physics · Physics 2022-03-23 Haoran Xue , Zihao Wang , Yue-Xin Huang , Zheyu Cheng , Letian Yu , Y. X. Foo , Y. X. Zhao , Shengyuan A. Yang , Baile Zhang

Wigner's method of induced representations is applied to the N=1 super-Poincare group, and by using a state corresponding to the basic vector of the little group as a Clifford vacuum we show that the spin operator of a supersymmetric point…

High Energy Physics - Theory · Physics 2009-10-31 Morten Nielsen , N. K. Nielsen

We study dynamical gauge symmetry breaking via compactified space in the framework of SU(N) gauge theory in M^{d-1}\times S^1 (d=4,5,6) space-time. In particular, we study in detail the gauge symmetry breaking in SU(2) and SU(3) gauge…

High Energy Physics - Theory · Physics 2008-11-26 Hisaki Hatanaka

We develop the geometry of four dimensional N=2 superspace where the entire conformal algebra of SU(2,2|2) is realized linearly in the structure group rather than just the SL(2,C) x U(2)_R subgroup of Lorentz and R-symmetries, extending to…

High Energy Physics - Theory · Physics 2015-05-27 Daniel Butter

We introduce a new background field method for N=2 superspace. (We treat projective hyperspace, but similar remarks apply for the harmonic case.) In analogy to N=1, background gauge fields are in the real representation, so the…

High Energy Physics - Theory · Physics 2013-07-12 Dharmesh Jain , Warren Siegel

A space for gauge theories is defined, using projective limits as subsets of Cartesian products of homomorphisms from a lattice on the structure group. In this space, non-interacting and interacting measures are defined as well as functions…

Mathematical Physics · Physics 2015-05-18 Rui Vilela Mendes

The projector onto gauge invariant physical states was recently constructed for arbitrary constrained systems. This approach, which does not require gauge fixing nor any additional degrees of freedom beyond the original ones---two…

High Energy Physics - Theory · Physics 2009-10-31 Jan Govaerts , John R. Klauder

We study superpaticle models with fermionic gauge symmetry on the coset spaces of the $SU(1,1|N)$ supergroup. We first construct $SU(1,1|N)$ supersymmetric extension of a particle on $AdS_2$ possessing the $\kappa$-symmetry. Including…

High Energy Physics - Theory · Physics 2020-05-20 Dmitry Chernyavsky

We discuss $5d$ and $6d$ supersymmetric gauge theories in the target-space with compactified directions and with the matter hypermultiplets in fundamental representations in the framework of integrable systems. In particular, we consider…

High Energy Physics - Theory · Physics 2009-10-30 A. Marshakov , A. Mironov

One of the central concepts in modern theoretical physics, gauge symmetry, is typically realised by lifting a finite-dimensional global symmetry group of a given functional to an infinite-dimensional local one by extending the functional to…

High Energy Physics - Theory · Physics 2017-05-16 Athanasios Chatzistavrakidis , Andreas Deser , Larisa Jonke , Thomas Strobl