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$W(a,b)$ and $W(a,b;\bar{a},\bar{b})$ algebras are deformations of ${\mathfrak{bms}_3}$ and ${\mathfrak{bms}_4}$ algebra respectively. We present an $\mathcal{N}=2$ supersymmetric extension of $W(a,b)$ and $W(a,b;\bar{a},\bar{b})$ algebra…

High Energy Physics - Theory · Physics 2023-01-25 Nabamita Banerjee , Arpita Mitra , Debangshu Mukherjee , H. R. Safari

We study the unitary supermultiplets of the N=4 d=7 anti-de Sitter (AdS_7) superalgebra OSp(8^*|4), with the even subalgebra SO(6,2) X USp(4), which is the symmetry superalgebra of M-theory on AdS_7 X S^4. We give a complete classification…

High Energy Physics - Theory · Physics 2011-02-09 Murat Gunaydin , Seiji Takemae

We use the AdS/CFT correspondence to compute the central charges of the d=4, N=2 superconformal field theories arising from N D3-branes at singularities in F-theory. These include the conformal theories with E_n global symmetries. We…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Yuji Tachikawa

We investigate the most general N=1 graded extension of the Poincare algebra, and find the corresponding supersymmetry transformations and the associated superspaces. We find that the supersymmetry for which {Q,Q} = P is not special, and in…

High Energy Physics - Theory · Physics 2009-10-30 S. Hewson

Based on the D5-brane realization of Wilson line operators in anti-symmetric representations, we propose brane expansion formulas for $I_{N,k}$, the Schur index of ${\cal N}=4$ $U(N)$ SYM decorated by line operators in the anti-symmetric…

High Energy Physics - Theory · Physics 2024-07-01 Yosuke Imamura , Masato Inoue

We study brane embeddings in M-theory plane-waves and their supersymmetry. The relation with branes in AdS backgrounds via the Penrose limit is also explored. Longitudinal planar branes are originated from AdS branes while giant gravitons…

High Energy Physics - Theory · Physics 2009-11-07 Nakwoo Kim , Jung-Tay Yee

In three dimensions, it is known that field theories possessing extended $(p,q)$ anti-de Sitter (AdS) supersymmetry with ${\cal N}=p+q \geq 3$ can be realised in (2,0) AdS superspace. Here we present a formalism to reduce every field theory…

High Energy Physics - Theory · Physics 2019-08-21 Jessica Hutomo , Sergei M. Kuzenko

Brane Box Models of intersecting NS and D5 branes are mapped to D3 branes at C^3/Gamma orbifold singularities and vise versa, in a setup which gives rise to N=1 supersymmetric gauge theories in four dimensions. The Brane Box Models are…

High Energy Physics - Theory · Physics 2010-04-06 Amihay Hanany , Angel M. Uranga

We review recent developments in the theory of brane tilings and four-dimensional N=1 supersymmetric quiver gauge theories. This review consists of two parts. In part I, we describe foundations of brane tilings, emphasizing the physical…

High Energy Physics - Theory · Physics 2009-09-29 Masahito Yamazaki

The non-standard intersection of two 5-branes and a string can give rise to AdS_3\times S^3\times S^3\times S^1. We consider the Penrose limit of this geometry and study the supersymmetry of the resulting pp-wave solution. There is a…

High Energy Physics - Theory · Physics 2009-11-07 H. Lu , J. F. Vazquez-Poritz

We continue our study of BPS equations and supersymmetric configurations in the Bagger-Lambert theory. The superalgebra allows three different types of central extensions which correspond to compounds of various M-theory objects: M2-branes,…

High Energy Physics - Theory · Physics 2010-01-07 Imtak Jeon , Jongwook Kim , Nakwoo Kim , Bum-Hoon Lee , Jeong-Hyuck Park

The algebra of Noether supercharges of the M-5-brane effective action is shown to include both 2-form and 5-form central charges. Surprisingly, only the 5-form charge is entirely due to the Wess-Zumino term because the `naive' algebra is…

High Energy Physics - Theory · Physics 2009-10-30 Dmitri Sorokin , Paul K. Townsend

In this work, we investigate possible supersymmetric extensions of the Carrollian algebra and the Carrollian conformal algebra in both $d=4$ and $d=3$. For the super-Carrollian algebra in $d=4$, we identify multiple admissible structures,…

High Energy Physics - Theory · Physics 2025-09-04 Yu-fan Zheng , Bin Chen

We use the group-theoretic interpretation of the AdS/CFT correspondence which we proposed earlier in order to lift intertwining operators acting between boundary conformal representations to intertwining operators acting between bulk…

High Energy Physics - Theory · Physics 2007-05-23 V. K. Dobrev

It is shown that the large $N$ limit of SU(N) YM in $curved$ $m$-dim backgrounds can be subsumed by a higher $m+n$ dimensional gravitational theory which can be identified to an $m$-dim generally invariant gauge theory of diffs $N$, where…

High Energy Physics - Theory · Physics 2009-11-07 Carlos Castro

We study the closed and open supermembranes on the maximally supersymmetric pp-wave background. In the framework of the membrane theory, the superalgebra is calculated by using the Dirac bracket and we obtain its central extension by…

High Energy Physics - Theory · Physics 2010-04-05 Katsuyuki Sugiyama , Kentaroh Yoshida

We discuss a 1+2 dimensional model with unconventional supersymmetry at the boundary of an AdS${}_4$, \,$\mathcal{N}$-extended supergravity. The resulting features of the supersymmetric boundary open the possibility of describing the…

High Energy Physics - Theory · Physics 2022-09-21 Antonio Gallerati

Recently it was proposed that the Bagger-Lambert-Gustavsson theory with Nambu-Poisson structure describes an M5-brane in a three-form flux background. In this paper we investigate the superalgebra associated with this theory. We derive the…

High Energy Physics - Theory · Physics 2010-05-12 Andrew M. Low

We consider supersymmetric PP-wave limits for different N=1 orbifold geometries of the five sphere S^5 and the five dimensional Einstein manifold T^{1,1}. As there are several interesting ways to take the Penrose limits, the PP-wave…

High Energy Physics - Theory · Physics 2016-09-06 Kyungho Oh , Radu Tatar

We study the large N limit of the interacting superconformal field theories associated with N M5 branes or M2 branes using the recently proposed relation between these theories and M theory on AdS spaces. We first analyze the spectrum of…

High Energy Physics - Theory · Physics 2009-02-23 Ofer Aharony , Yaron Oz , Zheng Yin