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Due to the difficulties of finding superconformal Lagrangian theories for multiple M2-branes, we will in this paper instead focus on the field equations. By relaxing the requirement of a Lagrangian formulation we can explore the possibility…

High Energy Physics - Theory · Physics 2009-12-04 Ulf Gran , Bengt E. W. Nilsson , Christoffer Petersson

We construct the 4-dimensional ${\cal N}=\frac12$ and ${\cal N}=1$ inhomogeneously mass-deformed super Yang-Mills theories from the ${\cal N} =1^*$ and ${\cal N} =2^*$ theories, respectively, and analyse their supersymmetric vacua. The…

High Energy Physics - Theory · Physics 2020-12-30 Yoonbai Kim , O-Kab Kwon , D. D. Tolla

We consider N = 2 superconformal field theory with following properties: a) Coulomb branch operators have fractional scaling dimensions, b) there are exact marginal deformations . The weakly coupled gauge theory descriptions are found by…

High Energy Physics - Theory · Physics 2016-02-12 Dan Xie , Shing-Tung Yau

N=2 supersymmetric Yang--Mills theories coupled to matter are considered in the Wess--Zumino gauge. The supersymmetries are realized nonlinearly and the anticommutator between two susy charges gives, in addition to translations, gauge…

High Energy Physics - Theory · Physics 2010-11-01 Nicola Maggiore

The Hamiltonian formulation of the theory of J-bundles is given both in the Hamilton--De Donder and in the Multimomentum Hamiltonian geometrical approaches. (3+3) Yang-Mills gauge theories are dealt with explicitly in order to restate them…

Mathematical Physics · Physics 2007-05-23 R. Cianci , S. Vignolo , D. Bruno

We provide evidence for the validity of AdS/CFT correspondence in the Coulomb branch by comparing the Yang-Mills effective action with the potential between waves on two separated test 3-branes in the presence of a large number of other…

High Energy Physics - Theory · Physics 2010-02-03 Sumit R. Das

Classical three dimensional Yang-Mills is seen to be related to the topological Chern-Simons term through a nonlinear but fully local and covariant gauge field redefinition. A classical recursive cohomological argument is provided.

High Energy Physics - Theory · Physics 2009-10-30 V. E. R. Lemes , C. Linhares de Jesus , C. A. G. Sasaki , S. P. Sorella , L. C. Q. Vilar , O. S. Ventura

We construct the interaction terms between the world-volume fields of multiple M2-branes and the 3- and 6-form fields in the context of ABJM theory with U($N$)$\times$U($N$) gauge symmetry. A consistency check is made in the simplest case…

High Energy Physics - Theory · Physics 2011-03-17 Yoonbai Kim , O-Kab Kwon , Hiroaki Nakajima , D. D. Tolla

We give a microscopic explanation for the recently observed equivalence among thermodynamics of supergravity solutions for Dp-branes with or without NS B-field and for D(p-2)-branes with vanishing B-field and two delocalized transverse…

High Energy Physics - Theory · Physics 2014-11-18 Donam Youm

We investigate the worldvolume theory that describes N coincident M2-branes ending on an M5 brane. We argue that the fields that describe the transverse spacetime coordinates take values in a non-associative algebra. We postulate a set of…

High Energy Physics - Theory · Physics 2008-11-26 Jonathan Bagger , Neil Lambert

Three-dimensional Yang-Mills theory allows for a deformation quadratic in the field strengths which can not be integrated to a local action without auxiliary fields. Yet, its covariant divergence consistently vanishes after iterating the…

High Energy Physics - Theory · Physics 2022-07-22 Nihat Sadik Deger , Henning Samtleben

We test the proposals for the worldvolume theory of M2-branes by studying its maximally supersymmetric mass-deformation. We check the simplest prediction for the mass-deformed theory on N M2-branes: that there should be a set of discrete…

High Energy Physics - Theory · Physics 2008-11-26 Jaume Gomis , Diego Rodriguez-Gomez , Mark Van Raamsdonk , Herman Verlinde

Within the AdS/CFT correspondence we use multicentre D3-brane metrics to investigate Wilson loops and compute the associated heavy quark-antiquark potentials for the strongly coupled SU(N) super-Yang-Mills gauge theory, when the gauge…

High Energy Physics - Theory · Physics 2007-05-23 A. Brandhuber , K. Sfetsos

We propose a generalization of the Bagger-Lambert-Gustavsson action as a candidate for the description of an arbitrary number of M2-branes. The action is formulated in terms of N=2 superfields in three dimensions and corresponds to an…

High Energy Physics - Theory · Physics 2008-11-26 Sergey Cherkis , Christian Saemann

We construct the low-energy effective field theory for a D3-brane in constant R-R 2-form potential background as the S-dual theory of a D3-brane in NS-NS B-field background. Despite the non-Abelian algebra of the noncommutative U(1) gauge…

High Energy Physics - Theory · Physics 2015-06-17 Pei-Ming Ho , Chen-Te Ma

Chern-Simons gauge theories in 2+1 dimensions with multiple gauge fields exhibit novel properties that are analysed here in some detail. A striking feature is the possibility of a non-propagating Chern-Simons field acquiring a massless…

High Energy Physics - Theory · Physics 2015-05-30 Sunil Mukhi

We present an action for a six-dimensional superconformal field theory containing a non-abelian tensor multiplet. All of the ingredients of this action have been available in the literature. We bring these pieces together by choosing the…

High Energy Physics - Theory · Physics 2018-04-06 Christian Saemann , Lennart Schmidt

Using the concept of 3-Lie bialgebra, which has recently been defined in arXiv:1604.04475, we construct Bagger-Lambert-Gustavson (BLG) model for M2-brane on Manin triple of a special 3-Lie bialgebra. Then by using the correspondence and…

High Energy Physics - Theory · Physics 2016-12-21 M. Aali-Javanangrouh , A. Rezaei-Aghdam

We propose a non-linear extension of U(1) \times U(1) (abelian) ABJM model including T_{M2} (higher derivative) corrections. The action proposed here is expected to describe a single M2-brane proving C^4/Z_k target space. The model includes…

High Energy Physics - Theory · Physics 2015-05-14 Shin Sasaki

Pure Yang-Mills theory on ${\mathbb R} \times S^2$ is analyzed in a gauge-invariant Hamiltonian formalism. Using a suitable coordinatization for the sphere and a gauge-invariant matrix parametrization for the gauge potentials, we develop…

High Energy Physics - Theory · Physics 2010-05-12 Abhishek Agarwal , V. P. Nair
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