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We present a Lagrangian formulation for N=4 supersymmetric quantum-mechanical systems describing the motion in external non-Abelian self-dual gauge fields. For any such system, one can write a component supersymmetric Lagrangian by…

High Energy Physics - Theory · Physics 2010-05-25 Evgeny A. Ivanov , Maxim A. Konyushikhin , Andrei V. Smilga

We present a new Lagrangian formulation of General Relativity with cosmological constant, coupled to Yang-Mills gauge theory. The formulation has a manifest color/kinematics-dual structure, both in the choice of fundamental fields and in…

General Relativity and Quantum Cosmology · Physics 2024-10-25 Yasha Neiman

We construct several quantum gauge theories in 4 dimensional space time, including both Abelian and non Abelian gauge groups, with the Abelian gauge fields coupled to zero mass matter fields. The construction occurs in a fixed finite…

Mathematical Physics · Physics 2025-02-06 James Glimm , Jarret Petrillo , Min Chul Lee

We develop a four-dimensional gauge-gravity unification based on the $% SL(2N,C)$ gauge theory taken in a universal Yang--Mills type setting. The accompanying tetrads are promoted to dynamical fields whose length, when projected onto the…

High Energy Physics - Theory · Physics 2026-03-20 J. L. Chkareuli

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

Novel Lagrangians are discussed in which (non-abelian) electric and magnetic gauge fields appear on a par. To ensure that these Lagrangians describe the correct number of degrees of freedom, tensor gauge fields are included with…

High Energy Physics - Theory · Physics 2009-11-11 Bernard de Wit , Henning Samtleben , Mario Trigiante

Abstract We present the construction of the first-order $D=4$, $\mathcal{N}=1$ supergravity action by gauging the Maxwell-Weyl superalgebra. The four-form lagrangian is constructed by using the curvatures of the algebra and the local scale…

High Energy Physics - Theory · Physics 2019-11-19 Salih Kibaroğlu , Oktay Cebecioğlu

We explore the consequence of generalized symmetries in four-dimensional $\mathcal{N}=1$ superconformal field theories. First, we classify all possible supersymmetric gauge theories with a simple gauge group that have a nontrivial one-form…

High Energy Physics - Theory · Physics 2025-05-07 Monica Jinwoo Kang , Craig Lawrie , Ki-Hong Lee , Jaewon Song

We construct the general four-dimensional N=2 supergravity theory coupled to vector and vector-tensor multiplets only. Consistency of the construction requires the introduction of the vector fields dual to those sitting in the same…

High Energy Physics - Theory · Physics 2011-07-06 Laura Andrianopoli , Riccardo D'Auria , Luca Sommovigo , Mario Trigiante

The Lagrangian for a non-abelian gauge theory with an $SU(N_{\! c})$ symmetry and a linear covariant gauge fixing is constructed in eight dimensions. The renormalization group functions are computed at one loop with the special cases of…

High Energy Physics - Theory · Physics 2018-01-24 J. A. Gracey

We present a review of supersymmetry, supergravity, and the non-perturbative dynamics of gauge theories, tracing a path from the supersymmetry algebra to moduli stabilisation and de~Sitter vacua in string theory. Representations of the…

High Energy Physics - Theory · Physics 2026-04-23 Tetiana Obikhod

Gravity duals for little string theories --- which give rise to four-dimensional theories that undergo permanent confinement in the infrared --- have not been studied in great detail. We address this question in the framework of heterotic…

High Energy Physics - Theory · Physics 2013-09-11 Fang Chen , Keshav Dasgupta , Joshua M. Lapan , Jihye Seo , Radu Tatar

After adding auxiliary fields and integrating out the original variables, the Yang-Mills action can be expressed in terms of local gauge invariant variables. This method reproduces the known solution of the two dimensional $SU(N)$ theory.…

High Energy Physics - Theory · Physics 2009-10-28 O. Ganor , J. Sonnenschein

We capture the off-shell as well as the on-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry invariance of the Lagrangian densities of the four (3 + 1)-dimensional (4D) (non-)Abelian 1-form gauge theories within the…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

There exists a formulation of the Maxwell theory in terms of two vector potentials, one electric and one magnetic. The action is then manifestly invariant under electric-magnetic duality transformations, which are rotations in the…

High Energy Physics - Theory · Physics 2014-03-14 Claudio Bunster , Marc Henneaux

We discuss some aspects of the topological features of a non-interacting two (1+1)-dimensional Abelian gauge theory in the framework of superfield formalism. This theory is described by a BRST invariant Lagrangian density in the Feynman…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

The supersymmetry invariance of flat supergravity (i.e., supergravity in the absence of any internal scale in the Lagrangian) in four dimensions on a manifold with non-trivial boundary is explored. Using a geometric approach we find that…

High Energy Physics - Theory · Physics 2019-01-29 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez

The idea of gauging (i.e. making local) symmetries of a physical system is a central feature of many modern field theories. Usually, one starts with a Lagrangian for some scalar or spinor matter fields, with the Lagrangian being invariant…

High Energy Physics - Theory · Physics 2007-05-23 Akira Kato , Doug Singleton

We derive the Lagrangian and the transformation laws of N=4 gauged supergravity coupled to matter multiplets whose sigma-model of the scalars is SU(1,1)/U(1)x SO(6,6+n)/SO(6)xSO(6+n) and which corresponds to the effective Lagrangian of the…

High Energy Physics - Theory · Physics 2009-11-10 Riccardo D'Auria , Sergio Ferrara , Floriana Gargiulo , Mario Trigiante , Silvia Vaula

Supergravity provides the effective field theories for string compactifications. The deformation of the maximal supergravities by non-abelian gauge interactions is only possible for a restricted class of charges. Generically these…

High Energy Physics - Theory · Physics 2009-11-13 Bernard de Wit , Maaike van Zalk