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The classic question of a nonabelian Yang-Mills analogue to electromagnetic duality is here examined in a minimalist fashion at the strictly 4-dimensional, classical field and point charge level. A generalisation of the abelian Hodge star…

High Energy Physics - Theory · Physics 2009-10-28 Chan Hong-Mo , J. Faridani , Tsou Sheung Tsun

We consider $1+1$ dimensional Yang-Mills theory with gauge group $G$ coupled to a massive Majorana fermion field in an adjoint representation and a number of massless Dirac or Majorana fermions transforming in arbitrary representations of…

High Energy Physics - Theory · Physics 2022-04-20 Fedor K. Popov

We suggest an extension of the Yang-Mills theory which includes non-Abelian tensor gauge fields. The invariant Lagrangian is quadratic in the field strength tensors and describes interaction of charged tensor gauge bosons of arbitrary large…

High Energy Physics - Theory · Physics 2009-11-11 G. Savvidy

It is proposed an integral formulation of classical Yang-Mills equations in the presence of sources, based on concepts in loop spaces and on a generalization of the non-abelian Stokes theorem for two-form connections. The formulation leads…

High Energy Physics - Theory · Physics 2011-09-21 L. A. Ferreira , G. Luchini

In the present paper we shall extend the gauge principle so that it will enlarge the original algebra of the Abelian gauge transformations found earlier in our studies of tensionless strings to the non-Abelian case. In this extension of the…

High Energy Physics - Theory · Physics 2009-11-11 George Savvidy

We propose a deformation principle of gauge theories in three dimensions that can describe topologically stable self-dual gauge fields, i.e., vacua configurations that in spite of their masses do not deform the background geometry and are…

High Energy Physics - Theory · Physics 2015-06-19 Julio Oliva , Mauricio Valenzuela

Various recently developed connections between supersymmetric Yang-Mills theories in four dimensions and two dimensional integrable systems serve as crucial ingredients in improving our understanding of the AdS/CFT correspondence. In this…

High Energy Physics - Theory · Physics 2008-11-26 Abhishek Agarwal

The Parisi-Sourlas mechanism is exhibited in pure Yang-Mills theory. Using the new scalar degrees of freedom derived from the non-linear gauge condition, we show that the non-perturbative sector of Yang-Mills theory is equivalent to a 4D…

High Energy Physics - Theory · Physics 2009-10-31 Jose A. Magpantay

In the first part of this thesis, we study form factors of general gauge-invariant local composite operators in $\mathcal{N}=4$ super Yang-Mills theory at various loop orders and for various numbers of external legs. We show how to use…

High Energy Physics - Theory · Physics 2016-03-04 Matthias Wilhelm

We extend the definition of L\"uscher's lattice topological charge to the case of $4$d $SU(N)$ gauge fields coupled with $\mathbb{Z}_N$ $2$-form gauge fields. This result is achieved while maintaining the locality, the $SU(N)$ gauge…

High Energy Physics - Lattice · Physics 2023-08-24 Motokazu Abe , Okuto Morikawa , Soma Onoda , Hiroshi Suzuki , Yuya Tanizaki

We consider the global aspects of the 6-dimensional $\mathcal{N}=(1, 0)$ theory arising from the coupling of the vector multiplet to the tensor multiplet. We show that the Yang-Mills field and its dual, when both are abelianized, combine to…

High Energy Physics - Theory · Physics 2019-08-23 Hisham Sati

We present a non-geometric derivation of $\mathcal{N}$=1 Super Yang-Mills by focusing on the consistency of interactions that extend the free vector supermultiplet rather than assuming gauge invariance under extended symmetries. By…

High Energy Physics - Theory · Physics 2024-08-28 Konstantinos Koutrolikos

A U(2,2|4)-invariant A-model constructed from fermionic superfields has recently been proposed as a sigma model for the superstring on AdS_5xS^5. After explaining the relation of this A-model with the pure spinor formalism, the A-model…

High Energy Physics - Theory · Physics 2011-04-11 Nathan Berkovits , Cumrun Vafa

We propose that chiral two-dimensional Yang-Mills theory on a Riemann surface is dual to a deformed stationary subsector of the Gromov-Witten theory of that Riemann surface. Firstly, we argue that the algebraic structure that underlies the…

High Energy Physics - Theory · Physics 2025-02-06 Lior Benizri , Jan Troost

The classical and quantum worldsheet theory describing nonrelativistic open string theory in an arbitrary nonrelativistic open and closed string background is constructed. We show that the low energy dynamics of open strings ending on n…

High Energy Physics - Theory · Physics 2021-08-06 Jaume Gomis , Ziqi Yan , Matthew Yu

This thesis deals with a class of integrable field theories called models with twist function. The main examples of such models are integrable non-linear sigma models, such as the Principal Chiral Model, and their deformations. A first…

High Energy Physics - Theory · Physics 2018-09-19 Sylvain Lacroix

Standard superspace Feynman diagram rules give one estimate of the onset of ultraviolet divergences in supergravity and super Yang-Mills theories. Newer techniques motivated by string theory but which also make essential use of unitarity…

High Energy Physics - Theory · Physics 2007-05-23 K. S. Stelle

The variety of consistent "gauging" deformations of supergravity theories in four dimensions depends on the choice of Lagrangian formulation. One important goal is to get the most general deformations without making hidden assumptions.…

High Energy Physics - Theory · Physics 2018-02-14 Marc Henneaux , Bernard Julia , Victor Lekeu , Arash Ranjbar

The response of isodoublet fermions to classical backgrounds of essentially 2-dimensional boson fields in SU(2) Yang-Mills-Higgs theory is investigated. In particular, the spectral flow of Dirac eigenvalues is calculated for a…

High Energy Physics - Theory · Physics 2009-10-30 F. R. Klinkhamer , C. Rupp

We construct non-standard interactions between exterior form gauge fields by gauging a particular global symmetry of the Einstein-Maxwell action for such fields. Furthermore we discuss generalizations of such interactions by adding…

High Energy Physics - Theory · Physics 2009-10-31 Friedemann Brandt , Joan Simon , Ulrich Theis
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