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We derive from a general formulation of pure spinor string theory on type IIA backgrounds the specific form of the action for the AdS_4 x P^3 background. We provide a complete geometrical characterization of the structure of the superfields…

High Energy Physics - Theory · Physics 2011-09-21 Riccardo D'Auria , Pietro Fre' , Pietro Antonio Grassi , Mario Trigiante

The worldvolume theory of D3-branes probing four D7-branes and an O7-plane on $\mathbb{C}^2/\mathbb{Z}_2$ is given by a supersymmetric USp x USp gauge theory. We demonstrate that, at least for a particular choice of the holonomy at…

High Energy Physics - Theory · Physics 2019-08-19 Yuji Tachikawa

We determine the ${\cal N}=4$ supersymmetric $W_{1+\infty}^{2,2}[\lambda=\frac{1}{4}]$ algebra which is an extension of ${\cal N}=4$ $SO(4)$ superconformal algebra with vanishing central charge. We identify the soft current algebra between…

High Energy Physics - Theory · Physics 2025-07-03 Changhyun Ahn , Man Hea Kim

At the leading order, M-theory admits minimal supersymmetric compactifications if the internal manifold has exceptional holonomy. The inclusion of non-vanishing fluxes in M-theory and string theory compactifications induce a superpotential…

High Energy Physics - Theory · Physics 2007-05-23 Dragos Constantin

We analyze the constraints imposed by unitarity and crossing symmetry on the four-point function of the stress-tensor multiplet of ${\cal N}=8$ superconformal field theories in three dimensions. We first derive the superconformal blocks by…

High Energy Physics - Theory · Physics 2015-06-22 Shai M. Chester , Jaehoon Lee , Silviu S. Pufu , Ran Yacoby

In the first part of this paper, we study the back-reaction of large-N light cone momentum on the maximally supersymmetric anti-pp-wave background. This gives the type IIA geometry of large-N D0-branes on curved space with fluxes. By taking…

High Energy Physics - Theory · Physics 2016-09-06 Norihiro Iizuka

The spontaneous symmetry breaking of rotational O(N) symmetry in noncommutative field theory is investigated in a 2+1 dimensional model of scalar fields coupled through a combination of quartic and sextuple self-interactions. There are five…

High Energy Physics - Theory · Physics 2009-11-07 H. O. Girotti , M. Gomes , A. Yu. Petrov , V. O. Rivelles , A. J. da Silva

We present a gauge-fixed M 5-brane action: a 6-dimensional field theory of a self-interacting (0,2) tensor multiplet with 32 worldvolume supersymmetries. The quadratic part of this action is shown to be invariant under rigid OSp(6,2|4)…

High Energy Physics - Theory · Physics 2009-10-30 Piet Claus , Renata Kallosh , Antoine Van Proeyen

We use the worldline formalism to study tree-level scattering processes involving gravitons. A massless spin 2 particle is described by an $N=4$ supersymmetric worldline action which is also $O(4)$ symmetric. More generally, $N=2S$…

High Energy Physics - Theory · Physics 2023-08-23 Yuchen Du , Diana Vaman

The asymptotically flat structure of $\mathcal{N}=(2,0)$ supergravity in three spacetime dimensions is explored. The asymptotic symmetries are spanned by an extension of the super-BMS$_3$ algebra, with two independent $\hat{u}(1)$ currents…

High Energy Physics - Theory · Physics 2017-10-11 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

We construct part of the superspace vielbein and tensor gauge field in terms of the component fields of 11-dimensional on-shell supergravity. The result can be utilized to describe supermembranes and corresponding matrix models for…

High Energy Physics - Theory · Physics 2009-10-31 Bernard de Wit , Kasper Peeters , Jan Plefka

The original {\it membrane at the end of the universe} corresponds to a probe $M2$-brane of signature $(2,1)$ occupying the $S^{2} \times S^{1}$ boundary of the $(10,1)$ spacetime $AdS_{4} \times S^{7}$, and is described by an $OSp(4/8)$…

High Energy Physics - Theory · Physics 2010-04-05 A. Batrachenko , M. J. Duff , J. X. Lu

Supersymmetric bosonic backgrounds governed by first-order BPS equations, can be realised in a much broader setting by relaxing the requirement of closure of the superalgebra beyond the level of quadratic fermion terms. The resulting…

High Energy Physics - Theory · Physics 2021-07-21 Falk Hassler , C. N. Pope , Hao-Yu Zhang

We consider Minkowski compactifications of M-theory on generic seven-dimensional manifolds. After analyzing the conditions on the four-form flux, we establish a set of relations between the components of the intrinsic torsion of the…

High Energy Physics - Theory · Physics 2010-02-03 Peter Kaste , Ruben Minasian , Alessandro Tomasiello

We prove the uniqueness of the supersymmetric Salam-Sezgin (Minkowski)_4\times S^2 ground state among all nonsingular solutions with a four-dimensional Poincare, de Sitter or anti-de Sitter symmetry. We construct the most general solutions…

High Energy Physics - Theory · Physics 2016-09-06 G. W. Gibbons , R. Guven , C. N. Pope

This work aims to develop a global formulation for ${\cal N}=2$ harmonic/projective anti-de Sitter (AdS) superspace $\text{AdS}^{4|8}\times S^2 \simeq \text{AdS}^{4|8}\times {\mathbb C}P^1$ that allows for a simple action of superconformal…

High Energy Physics - Theory · Physics 2025-12-17 Nowar E. Koning , Sergei M. Kuzenko

We discuss the structure of "exceptional generalised geometry" (EGG), an extension of Hitchin's generalised geometry that provides a unified geometrical description of backgrounds in eleven-dimensional supergravity. On a d-dimensional…

High Energy Physics - Theory · Physics 2014-11-18 Paulo Pires Pacheco , Daniel Waldram

Let $M$ be a $2n$-dimensional closed symplectic manifold admitting a Hamiltonian circle action with isolated fixed points. We show that if $M$ contains an $S^1$-invariant symplectic hypersurface $D$ such that $M\setminus D$ is a homology…

Differential Geometry · Mathematics 2025-10-23 Ping Li

By performing the matrix integral over the tree level superpotential of N=1 supersymmetric SO(N)/Sp(N) gauge theories obtained from N=2 SQCD by adding the mass term for the adjoint scalar field, the exact effective superpotential in terms…

High Energy Physics - Theory · Physics 2010-04-05 Changhyun Ahn

Singletons are those unitary irreducible modules of the Poincare or (anti) de Sitter group that can be lifted to unitary modules of the conformal group. Higher-spin algebras are the corresponding realizations of the universal enveloping…

Mathematical Physics · Physics 2023-06-13 Xavier Bekaert
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