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We study supersymmetric $AdS_3\times M^4$ solutions of $N=2$ gauged supergravity in seven dimensions coupled to three vector multiplets with $SO(4)\sim SO(3)\times SO(3)$ gauge group and $M^4$ being a four-manifold with constant curvature.…

高能物理 - 理论 · 物理学 2019-08-27 Parinya Karndumri , Patharadanai Nuchino

Starting with a gentle approach to the AGT correspondence from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on numerous extensions of the correspondence up to early 2020. This is an extended writeup of…

高能物理 - 理论 · 物理学 2024-04-09 Bruno Le Floch

We show how three-dimensional superconformal theories for any number N <= 8 of supersymmetries can be obtained by taking a conformal limit of the corresponding three-dimensional gauged supergravity models. The superconformal theories are…

高能物理 - 理论 · 物理学 2008-11-26 Eric A. Bergshoeff , Olaf Hohm , Diederik Roest , Henning Samtleben , Ergin Sezgin

Maximally supersymmetric SO(10) and SU(6) unified theories are constructed on the orbifold T^2/(Z_2 x Z'_2), with one length scale R_5 taken much larger than the other, R_6. The effective theory below 1/R_6 is found to be the highly…

高能物理 - 唯象学 · 物理学 2009-09-29 Lawrence J. Hall , Yasunori Nomura

We show that SU(N) gauge theories in 2+1 dimensions are close to N=\infty for N \geq 2. The dimensionful coupling, g^2, is proportional to 1/N, at large N, confirming the usual diagram-based expectation. Preliminary calculations in 3+1…

高能物理 - 格点 · 物理学 2009-10-30 M. Teper

Extending recent work of Kachru and Silverstein, we consider ``orbifolds'' of 4-dimensional $\mathcal{N}=4$ SU(n) super-Yang-Mills theories with respect to discrete subgroups of the SU(4) $R$-symmetry which act nontrivially on the gauge…

高能物理 - 理论 · 物理学 2017-09-07 A. Lawrence , N. Nekrasov , C. Vafa

These are introductory lectures on the correspondence between SU(N) gauge theories and Superstring Theory in anti-de Sitter geometries (AdS). The subject combines a number of different topics, including supersymmetric field theory,…

高能物理 - 理论 · 物理学 2007-05-23 J. G. Russo

We study flows on the scalar manifold of N=8 gauged supergravity in five dimensions which are dual to certain mass deformations of N=4 super Yang--Mills theory. In particular, we consider a perturbation of the gauge theory by a mass term…

高能物理 - 理论 · 物理学 2009-10-31 A. Brandhuber , K. Sfetsos

Using exceptional generalised geometry, we classify which five-dimensional ${\cal N}=2$ gauged supergravities can arise as a consistent truncation of 10-/11-dimensional supergravity. Exceptional generalised geometry turns the classification…

高能物理 - 理论 · 物理学 2022-06-22 Gregoire Josse , Emanuel Malek , Michela Petrini , Daniel Waldram

N=2 supersymmetric gauge theories in four dimensions are studied by formulating them as the quantum field theories derived from configurations of fourbranes, fivebranes, and sixbranes in Type IIA superstrings, and then reinterpreting those…

高能物理 - 理论 · 物理学 2010-04-07 Edward Witten

We consider the $\mathcal{N}=2$ SYM theory with gauge group SU($N$) and a matter content consisting of one multiplet in the symmetric and one in the anti-symmetric representation. This conformal theory admits a large-$N$ 't Hooft expansion…

高能物理 - 理论 · 物理学 2021-08-18 M. Beccaria , M. Billo , M. Frau , A. Lerda , A. Pini

We study a set of four-dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) $\widehat{\Gamma}(G)$ labeled by a pair of simply-laced Lie groups $\Gamma$ and $G$. They are constructed out of gauging a number of $\mathcal{D}_p(G)$…

高能物理 - 理论 · 物理学 2021-11-12 Monica Jinwoo Kang , Craig Lawrie , Jaewon Song

Four dimensional N=1 supersymmetric gauge theories with unitary gauge groups and matter in the adjoint and fundamental representations give rise to a series of non-trivial fixed points with an ADE classification. Many of these models…

高能物理 - 理论 · 物理学 2014-01-23 David Kutasov , Jennifer Lin

Exploring the role of conformal theories of gravity in string theory, we show that the minimal (N=2) gauged supergravities in five dimensions induce the multiplets and transformations of N=1 four dimensional conformal supergravity on the…

高能物理 - 理论 · 物理学 2009-10-31 Vijay Balasubramanian , Eric Gimon , Djordje Minic , Joachim Rahmfeld

We revisit the study of the maximally singular point in the Coulomb branch of 4d N=2 SU(N) gauge theory with N_f=2n flavors for N_f<2N. When n >= 2, we find that the low-energy physics is described by two non-trivial superconformal field…

高能物理 - 理论 · 物理学 2011-01-27 Davide Gaiotto , Nathan Seiberg , Yuji Tachikawa

We continue to investigate the relationship between the infrared physics of N=2 supersymmetric gauge theories in four dimensions and various integrable models such as Gaudin, Calogero-Moser and quantum spin chains. We prove interesting…

高能物理 - 理论 · 物理学 2013-08-20 Heng-Yu Chen , Po-Shen Hsin , Peter Koroteev

We study supersymmetric solutions within seven-dimensional $N=2$ gauged supergravity coupled to three vector multiplets in seven dimensions. The gauged supergravity contains six vector fields that gauge the $SO(4)\sim SO(3)\times SO(3)$…

高能物理 - 理论 · 物理学 2018-10-17 Parinya Karndumri , Patharadanai Nuchino

In the context of Two Time Physics in 4+2 dimensions we construct the most general N=2,4 supersymmetric Yang Mills gauge theories for any gauge group G. This builds on our previous work for N=1 supersymmetry. The action, the conserved SUSY…

高能物理 - 理论 · 物理学 2009-01-16 Itzhak Bars , Yueh-Cheng Kuo

New gaugings of four dimensional N=8 supergravity are constructed, including one which has a Minkowski space vacuum that preserves N=2 supersymmetry and in which the gauge group is broken to $SU(3)xU(1)^2$. Previous gaugings used the form…

高能物理 - 理论 · 物理学 2014-11-18 C. M. Hull

Many examples of low-energy dualities have been found in supersymmetric gauge theories with four supercharges, both in four and in three space-time dimensions. In these dualities, two theories that are different at high energies have the…

高能物理 - 理论 · 物理学 2015-06-16 Ofer Aharony , Shlomo S. Razamat , Nathan Seiberg , Brian Willett