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We discuss the non-anticommutative (N=1/2) supersymmetric U(1) gauge theory in four dimensions, including a superpotential. We perform the one-loop renormalisation of the model, including the complete set of terms necessary for…

High Energy Physics - Theory · Physics 2009-04-17 I. Jack , D. R. T. Jones , R. Purdy

A correspondence between type IIB string theory with N D7-branes on R^{1,3} x C^1/Z_2 x T^2/Z_2 x T^2/Z_2 and pure N=1 SU(N) gauge theory in four dimensions is proposed and argued. First the supergravity background of unwrapped and flat…

High Energy Physics - Theory · Physics 2013-05-29 Girma Hailu

Exact solutions to the low-energy effective action of the four-dimensional, N=2 supersymmetric gauge theories with matter (including N=2 super-QCD) are discussed from the three different viewpoints: (i) instanton calculus, (ii) N=2 harmonic…

High Energy Physics - Theory · Physics 2007-05-23 Sergei V. Ketov

We review the relations between (twisted) supersymmetric gauge theories in four dimensions and moduli problems in four-dimensional topology, and we study in detail the non-abelian monopole equations from this point of view. The relevance of…

High Energy Physics - Theory · Physics 2008-02-03 Marcos Marino

We consider three-dimensional ${\mathcal N}=2$ supersymmetric field theories defined on general complex-valued backgrounds of Euclidean new minimal supergravity admitting two Killing spinors of opposite $R$-charges. We compute partition…

High Energy Physics - Theory · Physics 2024-04-17 Matteo Inglese , Dario Martelli , Antonio Pittelli

We analyze the constraints which follow both on the geometry and on the gauge sector for a consistent supergravity reduction of a general matter-coupled N=2 supergravity theory in four dimensions. These constraints can be derived in an…

High Energy Physics - Theory · Physics 2009-11-07 L. Andrianopoli , R. D'Auria , S. Ferrara

Main objective of the present dissertation is the investigation for all the possible low energy models which emerge in four dimensions by the dimensional reduction of a gauge theory over multiple connected coset spaces. The higher…

High Energy Physics - Theory · Physics 2009-03-15 Theodoros Grammatikopoulos

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…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

In this work we compare different descriptions of the space of vacua of certain three dimensional N=4 superconformal field theories, compactified on a circle and mass-deformed to N=2 in a canonical way. The original N=4 theories are known…

High Energy Physics - Theory · Physics 2013-06-03 Davide Gaiotto , Peter Koroteev

We point out that the similarities in N = 1 supersymmetric SO, SP gauge theories can be explained by using the trick of extrapolating the groups to the negative dimensions. One of the advantages of this trick is that anomaly matching is…

High Energy Physics - Theory · Physics 2009-10-30 Nobuhito Maru , Shinsaku Kitakado

We found a lot of new three dimensional N = 4 mirror pairs generalizing previous considerations on three dimensional generalized quiver gauge theories. We recovered almost all previous discovered mirror pairs with these constructions. One…

High Energy Physics - Theory · Physics 2011-05-23 Dimitri Nanopoulos , Dan Xie

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…

High Energy Physics - Theory · Physics 2017-09-07 A. Lawrence , N. Nekrasov , C. Vafa

We demonstrate that the supersymmetry is dynamically broken in the four-dimensional SU(N) gauge theory coupled to a strongly-coupled superconformal theory T_N. This is a direct generalization of the model of supersymmetry breaking on…

High Energy Physics - Theory · Physics 2013-11-13 Kazunobu Maruyoshi , Yuji Tachikawa , Wenbin Yan , Kazuya Yonekura

We consider the relationship between the higher symmetry and the dynamical decomposition in supersymmetric gauge theory in various dimensions by studying the semi-classical potential energy. We observe that besides the scalar moduli we…

High Energy Physics - Theory · Physics 2025-04-02 Wei Gu

We find non-supersymmetric metastable vacua in four dimensional N=2 gauge theories softly broken to N=1 by a superpotential term. First we study the simplest case, namely the SU(2) gauge theory without flavors. We study the spectrum and…

High Energy Physics - Theory · Physics 2015-05-13 Georgios Pastras

Higher-dimensional theories provide a promising framework for unified extensions of the supersymmetric standard model. Compactifications to four dimensions often lead to U(1) symmetries beyond the standard model gauge group, whose breaking…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wilfried Buchmuller , Riccardo Catena , Kai Schmidt-Hoberg

We show how Higgs mechanism for non-abelian N=2 gauge theories in four dimensions is geometrically realized in the context of type II strings as transitions among compactifications of Calabi-Yau threefolds. We use this result and T-duality…

High Energy Physics - Theory · Physics 2009-09-17 Kentaro Hori , Hirosi Ooguri , Cumrun Vafa

We study dynamical gauge symmetry breaking via compactified space in the framework of SU(N) gauge theory in M^{d-1}\times S^1 (d=4,5,6) space-time. In particular, we study in detail the gauge symmetry breaking in SU(2) and SU(3) gauge…

High Energy Physics - Theory · Physics 2008-11-26 Hisaki Hatanaka

We propose new classes of $4d$ $\mathcal{N}\!=\!1$ S-confining gauge theories, with a simple gauge group, rank-two matter and cubic superpotentials. The gauge group can be symplectic, orthogonal or special unitary. In some cases we derive…

High Energy Physics - Theory · Physics 2023-05-18 Stephane Bajeot , Sergio Benvenuti , Matteo Sacchi

We present nontrivial examples of d=3 gauge theories with sixteen and eight supercharges which are infrared dual at special points in the moduli space. This duality is distinct from mirror symmetry. To demonstrate duality we construct the…

High Energy Physics - Theory · Physics 2009-10-31 Micha Berkooz , Anton Kapustin