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Related papers: Nonelectromagnetic duality in twisted N=4 model

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One of the simplest examples of non-invertible symmetries in higher dimensions appears in 4d Maxwell theory, where its $SL(2,\mathbb{Z})$ duality group can be combined with gauging subgroups of its electric and magnetic 1-form symmetries to…

High Energy Physics - Theory · Physics 2024-01-11 Orr Sela

In Gurau and Keppler 2022 (arXiv:2207.01993), a relation between orthogonal and symplectic tensor models with quartic interactions was proven. In this paper, we provide an alternative proof that extends to polynomial interactions of…

High Energy Physics - Theory · Physics 2024-05-03 Hannes Keppler , Thomas Muller

We analyze to all perturbative orders the properties of two possible quantum extensions of classically on-shell equivalent antisymmetric tensor gauge models in four dimensions. The first case, related to the soft breaking of a topological…

High Energy Physics - Theory · Physics 2010-04-06 G. Bandelloni A. Blasi

We construct the non-minimal linear representations of the N=4 Extended Supersymmetry in one-dimension. They act on 8 bosonic and 8 fermionic fields. Inequivalent representations are specified by the mass-dimension of the fields and the…

High Energy Physics - Theory · Physics 2011-07-26 Marcelo Gonzales , Sadi Khodaee , Francesco Toppan

We consider a supersymmetric matrix model which is related to the non-critical superstring theory. We find new non-singlet terms in the supersymmetric matrix quantum mechanics. The new non-singlet terms give rise to nontrivial interactions.…

High Energy Physics - Theory · Physics 2008-11-26 Nyong-Chol Kim , Soonkeon Nam , Yunseok Seo

Within the gauge/gravity correspondence, we discuss the general formulation of the shockwave metric which is dual to a 'nucleus' described by the strongly-coupled N=4 SYM theory in the limit where the number of colors Nc is arbitrarily…

High Energy Physics - Theory · Physics 2015-05-13 E. Avsar , E. Iancu , L. McLerran , D. N. Triantafyllopoulos

Some of the key cohomological features of the two $(1+1)$-dimensional (2D) free Abelian- and self-interacting non-Abelian gauge theories (having no interaction with matter fields) are briefly discussed first in the language of symmetry…

High Energy Physics - Theory · Physics 2014-11-18 R. P. Malik

((1+1)-dimensional ${\cal N}=1$ super-symmetric field theory and (3+1)-dimensional ${\cal N}=2$ super-symmetric gauge theory are discussed in a, more or less, unified way, designed to identify the quantum BPS states in both systems.…

High Energy Physics - Theory · Physics 2016-02-29 Juan Mateos Guilarte

In this paper we investigate how electromagnetic duality survives derivative corrections to classical non-linear electrodynamics. In particular, we establish that electromagnetic selfduality is satisfied to all orders in $\alpha'$ for the…

High Energy Physics - Theory · Physics 2009-11-11 W. A. Chemissany , Joost de Jong , Mees de Roo

Using supersymmetric localization, we consider four-dimensional $\mathcal{N}=2$ superconformal quiver gauge theories obtained from $\mathbb{Z}_n$ orbifolds of $\mathcal{N}=4$ Super Yang-Mills theory in the large $N$ limit at weak coupling.…

High Energy Physics - Theory · Physics 2017-09-13 Alessandro Pini , Diego Rodriguez-Gomez , Jorge G. Russo

Duality in supersymmetric SU(N) gauge theory with a symmetric tensor is studied using the technique of deconfining and Seiberg's duality. By construction the gauge group of the dual theory necessarily becomes a product group. In order to…

High Energy Physics - Theory · Physics 2009-10-30 Tadakatsu Sakai

We consider the twisted N = 4 SYM on \Sigma \times S^2. In the limit that S^2 shrinks to zero size the four dimensional theory reduces to a two dimensional SYM theory. We compute the correlation functions of a set of BRST cohomology classes…

High Energy Physics - Theory · Physics 2009-10-31 A. Imaanpur

We derive a holomorphic anomaly equation for the Vafa-Witten partition function for twisted four-dimensional $\mathcal{N} =4$ super Yang-Mills theory on $\mathbb{CP}^{2}$ for the gauge group $SO(3)$ from the path integral of the effective…

High Energy Physics - Theory · Physics 2020-11-18 Atish Dabholkar , Pavel Putrov , Edward Witten

The groups $O(N)$ and $Sp(N)$ are related by an analytic continuation to negative values of $N$, $O(-N)\simeq Sp(N)$. This duality has been studied for vector models, $SO(N)$ and $Sp(N)$ gauge theories, as well as some random matrix…

Mathematical Physics · Physics 2022-07-06 Razvan Gurau , Hannes Keppler

Cosmological perturbation equations derived from low-energy effective actions are shown to be invariant under a duality transformation reminiscent of electric-magnetic, strong-weak coupling, S-duality. A manifestly duality-invariant…

High Energy Physics - Theory · Physics 2009-10-31 R. Brustein , M. Gasperini , G. Veneziano

The (4,0) supermultiplet in 6 dimensions contains a 4th rank tensor gauge field with the symmetries of the Riemann tensor and is superconformal, with 32+32 supersymmetries. Dimensional reduction on a circle gives the 5D N=8 supergravity…

High Energy Physics - Theory · Physics 2022-09-26 Chris Hull

For D=4 theories of a single U(1) gauge field strength coupled to gravity and matters, we show that the electric-magnetic duality can be formulated as an invariance of the actions. The symmetry is associated with duality rotation acting…

High Energy Physics - Theory · Physics 2009-10-31 Yuji Igarashi , Katsumi Itoh , Kiyoshi Kamimura

We define and study a holographic dual to the topological twist of $\mathcal{N}=4$ gauge theories on Riemannian three-manifolds. The gravity duals are solutions to four-dimensional $\mathcal{N}=4$ gauged supergravity, where the…

High Energy Physics - Theory · Physics 2018-09-21 Pietro Benetti Genolini , Paul Richmond , James Sparks

The symmetric orbifold of $\mathbb{T}^4$ is exactly dual to string theory on $\mathrm{AdS}_3\times \mathrm{S}^3 \times \mathbb{T}^4$ with minimal ($k=1$) NS-NS flux. In this paper we study the perturbation of the symmetric orbifold that is…

High Energy Physics - Theory · Physics 2024-06-11 Matthias R. Gaberdiel , Rajesh Gopakumar , Beat Nairz

The effective action of N=2 gauge multiplets in general includes higher-dimension UV finite nonholomorphic corrections integrated with the full N=2 superspace measure. By adding a hypermultiplet in the adjoint representation we study the…

High Energy Physics - Theory · Physics 2009-10-31 F. Gonzalez-Rey , M. Rocek