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In this paper, we shall analyse a three dimensional supersymmetry theory with $\mathcal{N} = 2$. The effective Lagrangian will be given by the sum of the gauge fixing term and the ghost term with the original classical Lagrangian. In…

High Energy Physics - Theory · Physics 2017-09-04 Mushtaq B Shah , Mir Faizal , Prince A Ganai , Zaid Zaz , Anha Bhat , Syed Masood

We consider (3+1)-dimensional N=2 supersymmetric QED with two flavors of fundamental hypermultiplets. This theory supports 1/2-BPS domain walls and flux tubes (strings), as well as their 1/4-BPS junctions. The effective (2+1)-dimensional…

High Energy Physics - Theory · Physics 2010-05-27 M. Shifman , A. Yung

We derive general BPS boundary conditions in two-dimensional $\mathcal{N}=(2,2)$ supersymmetric gauge theories. We analyze the solutions of these boundary conditions, and in particular those that allow the bulk fields to have poles at the…

High Energy Physics - Theory · Physics 2021-03-19 Tadashi Okazaki , Douglas J. Smith

In pure N=1 supersymmetric Yang-Mills with gauge group SU(N), the domain walls which separate the N vacua have been argued, on the basis of string theory realizations, to be D-branes for the confining string. In a certain limit, this means…

High Energy Physics - Theory · Physics 2009-11-11 Adi Armoni , Timothy J. Hollowood

In a recent paper, Polchinski and Strassler found a string theory dual of a gauge theory with reduced supersymmetry. Motivated by their approach, we perturb the $\N=8$ theory living on a set of N M2 branes to $\N=2$, by adding fermion mass…

High Energy Physics - Theory · Physics 2011-09-29 Iosif Bena

We investigate supersymmetric boundary conditions in both the Bagger-Lambert and the ABJM theories of interacting membranes. We find boundary conditions associated to the fivebrane, the ninebrane and the M-theory wave. For the ABJM theory…

High Energy Physics - Theory · Physics 2010-05-12 David S. Berman , Malcolm J. Perry , Ergin Sezgin , Daniel C. Thompson

We construct three dimensional Chern-Simons-matter theories with gauge groups U(N)xU(N) and SU(N)xSU(N) which have explicit N=6 superconformal symmetry. Using brane constructions we argue that the U(N)xU(N) theory at level k describes the…

High Energy Physics - Theory · Physics 2009-07-09 Ofer Aharony , Oren Bergman , Daniel Louis Jafferis , Juan Maldacena

We consider the compactification of the dual form of $N=1$ $D=10$ supergravity on a six-dimensional Calabi-Yau manifold. An $N=1$ off-shell supergravity effective Lagrangian in four dimensions can be constructed in a dual version of the…

High Energy Physics - Theory · Physics 2010-04-06 R. D'Auria , S. Ferrara , M. Villasante

We discuss the possible applications of string theory for the construction of generalizations of the $SU(3)\times SU(2)\times U(1)$ standard model of strong and electroweak interactions. This includes an investigation of effective $d=4$…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hans Peter Nilles

In this paper we analyse super-Chern-Simons theory in $\mathcal{N} =1$ superspace formalism, in the presence of a boundary. We modify the Lagrangian for the Chern-Simons theory in such a way that it is supersymmetric even in the presence of…

High Energy Physics - Theory · Physics 2015-06-03 Mir Faizal , Douglas J. Smith

In this Thesis, we focus on the study of the low energy approximation to non-critical string theories. We present an exhaustive study of their solutions, which are divided in three cases: vacuum, NSNS charged, and RR charged solutions. In…

High Energy Physics - Theory · Physics 2010-09-29 Mauricio B. Sturla

We perform a systematic analysis of the D-brane charges associated with string theory realizations of d=3 gauge theories, focusing on the examples of the N=4 supersymmetric U(N)xU(N+M) Yang-Mills theory and the N=3 supersymmetric…

High Energy Physics - Theory · Physics 2010-12-15 Ofer Aharony , Akikazu Hashimoto , Shinji Hirano , Peter Ouyang

We propose $SL(2,\mathbb{Z})$ dualities of supersymmetric boundary conditions in the three-dimensional supersymmetric field theories describing a semi-infinite M2-brane terminating on M5-branes. Specifically, we present dualities of…

High Energy Physics - Theory · Physics 2025-12-12 Tadashi Okazaki , Douglas J. Smith

We study the self-duality of Born-Infeld-Chern-Simons theory which can be interpreted as a massive D2 brane in IIA string theory and exhibit the self-dual formulation in terms of the gauge invariant master Lagrangian. The proposed master…

High Energy Physics - Theory · Physics 2007-05-23 Won Tae Kim , Hyeonjoon Shin , Myung Seok Yoon

We present three Lagrangian algebras in the modular 2-category associated to the 3+1D $\mathbb{Z}_2$ topological order and discuss their physical interpretations, connecting algebras with gapped boundary conditions, and interestingly, maps…

Strongly Correlated Electrons · Physics 2023-11-17 Jiaheng Zhao , Jia-Qi Lou , Zhi-Hao Zhang , Ling-Yan Hung , Liang Kong , Yin Tian

Recently, O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena (ABJM) proposed three-dimensional super Chern-Simons-matter theory, which at level k is supposed to describe the low energy limit of N M2-branes. For large N and k, but fixed…

High Energy Physics - Theory · Physics 2009-01-16 Changrim Ahn , P. Bozhilov

We construct and analyze D-branes in superstring theories in even dimensions less than ten. The backgrounds under study are supersymmetric R^{d-1,1} \times SL(2,R)_k / U(1) where the level of the supercoset is tuned such as to provide bona…

High Energy Physics - Theory · Physics 2014-11-18 Sujay K. Ashok , Sameer Murthy , Jan Troost

We construct two-dimensional N=(2,2) supersymmetric gauge theories with orthogonal and symplectic groups using branes and orientifold planes in Type IIA string theory. A number of puzzles regarding the construction, including the effect of…

High Energy Physics - Theory · Physics 2018-08-29 Oren Bergman , Eran Avraham

The $\mathcal{A}$-theory takes U-duality symmetry as a guiding principle, with the SL(5) U-duality symmetry being described as the world-volume theory of a 5-brane. Furthermore, by unifying the 6-dimensional world-volume Lorentz symmetry…

High Energy Physics - Theory · Physics 2025-07-09 Machiko Hatsuda , Ondřej Hulík , William D. Linch , Warren D. Siegel , Di Wang , Yu-Ping Wang

It is known that the M2-brane worldvolume superalgebra includes two p-form central charges that encode the M-theory intersections involving M2-branes. In this paper we show by explicit computation that the Bagger-Lambert Lagrangian realizes…

High Energy Physics - Theory · Physics 2009-12-10 Filippo Passerini
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