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We summarize some results in 4d, N=1 supersymmetric SU(2) gauge theories: the exact effective superpotentials, the vacuum structure, and the exact effective Abelian couplings for arbitrary bare masses and Yukawa couplings.

高能物理 - 理论 · 物理学 2009-10-28 S. Elitzur , A. Forge , A. Giveon , E. Rabinovici

We study $N=1$ supersymmetric $SP(N_c)$ gauge theories with $N_f$ flavors of quarks in the fundamental representation. Depending on $N_f$ and $N_c$, we find exact, dynamically generated superpotentials, smooth quantum moduli spaces of…

高能物理 - 理论 · 物理学 2009-10-28 K. Intriligator , P. Pouliot

This is the 13th article in the collection of reviews "Exact results in N=2 supersymmetric gauge theories", ed. J. Teschner. It discusses the relation between the instanton partition functions and the partition function of the topological…

高能物理 - 理论 · 物理学 2014-12-23 Daniel Krefl , Johannes Walcher

We report an exact solution of 2- and 3-point functions of chiral primary fields in SU(2) N=2 super-Yang-Mills theory coupled to four hypermultiplets. It is shown that these correlation functions are non-trivial functions of the gauge…

高能物理 - 理论 · 物理学 2014-12-24 Marco Baggio , Vasilis Niarchos , Kyriakos Papadodimas

This is the fourth article in the collection of reviews "Exact results on N=2 supersymmetric gauge theories", ed. J.Teschner. It describes a very useful mathematical representation of the results of the localisation computations of…

高能物理 - 理论 · 物理学 2015-02-25 Kazunobu Maruyoshi

We discuss the role of Abelian gauge symmetries in type IIB orientifold compactifications and their F-theory uplift. Particular emphasis is placed on U(1)s which become massive through the geometric St\"uckelberg mechanism in type IIB. We…

高能物理 - 理论 · 物理学 2014-02-18 Max Kerstan

We consider two simple examples of multi-instanton configurations in type II 4d N=1 superstring compactifications. The first one involves O(1) and U(1) D2-instantons embedded in T^6/(Z_2 x Z_2') geometry with SU(4) gauge symmetry coming…

高能物理 - 理论 · 物理学 2009-11-05 Tomasz Jelinski , Jacek Pawelczyk

We construct families of hyper-elliptic curves which describe the quantum moduli spaces of vacua of $N=2$ supersymmetric $SU(N_c)$ gauge theories coupled to $N_f$ flavors of quarks in the fundamental representation. The quantum moduli…

高能物理 - 理论 · 物理学 2008-11-26 Amihay Hanany , Yaron Oz

The role of instantons in describing non-perturbative aspects of globally supersymmetric gauge theories is reviewed. The cases of theories with N=1, N=2 and N=4 supersymmetry are discussed. Special attention is devoted to the intriguing…

高能物理 - 理论 · 物理学 2008-11-26 Massimo Bianchi , Stefano Kovacs , Giancarlo Rossi

We investigate the instanton dynamics of asymptotically safe and free quantum field theories featuring respectively controllable ultraviolet and infrared fixed points. We start by briefly reviewing the salient points about the instanton…

高能物理 - 理论 · 物理学 2019-05-01 Francesco Sannino , Vedran Skrinjar

Non-perturbative effects of instanton-like solutions are studied within the framework of supergravity theories with field-dependent gauge functions. Fermionic zero modes are constructed and some typical correlation functions are evaluated.…

高能物理 - 理论 · 物理学 2009-10-22 Soo-Jong Rey , T. R. Taylor

The N=2 supersymmetric gauge theory with gauge group SU(2) is considered. The instanton field is calculated explicitly using the superfield formalism. The instanton-induced effects are encoded in the effective vertex in the Lagrangian. This…

高能物理 - 理论 · 物理学 2009-10-30 Alexei Yung

We elaborate on our previous work on N=2 supersymmetric Yang-Mills theory. In particular, we show how to explicitly determine the low energy quantum effective action for $G=SU(3)$ from the underlying hyperelliptic Riemann surface, and…

高能物理 - 理论 · 物理学 2015-06-26 A. Klemm , W. Lerche , S. Theisen

Making use of the exact solutions of the $N=2$ supersymmetric gauge theories we construct new classes of superconformal field theories (SCFTs) by fine-tuning the moduli parameters and bringing the theories to critical points. SCFTs we have…

高能物理 - 理论 · 物理学 2011-05-05 Tohru Eguchi , Kentaro Hori , Katsushi Ito , Sung-Kil Yang

This dissertation reviews various aspects of the N=4 supersymmetric Yang--Mills theory in particular in relation with the AdS/CFT correspondence. The first two chapters are introductory. The first one contains a description of the general…

高能物理 - 理论 · 物理学 2007-05-23 Stefano Kovacs

We review recent theoretical results from our systematic study of QCD-instanton contributions to eP processes, involving a hard momentum scale Q. The main issues are: the absence of IR divergencies due to a dynamical suppression of…

高能物理 - 唯象学 · 物理学 2009-10-30 Sven Moch , Andreas Ringwald , Fridger Schrempp

We discuss the contribution of ADHM multi-instantons to the higher-derivative terms in the gradient expansion along the Coulomb branch of N=2 and N=4 supersymmetric SU(2) gauge theories. In particular, using simple scaling arguments, we…

高能物理 - 理论 · 物理学 2009-10-30 N. Dorey , V. V. Khoze , M. P. Mattis , M. J. Slater , W. A. Weir

In this paper we investigate different ways of deriving the A-cycle period as a series in instanton counting parameter $q$ for ${\cal N}=2$ SYM with up to four antifundamental hypermultiplets in NS limit of $\Omega$ background. We propose a…

高能物理 - 理论 · 物理学 2021-06-02 Hasmik Poghosyan

One-instanton contributions to the correlation functions of two gauge-invariant single-trace operators in N=4 SU(N) Yang-Mills theory are studied in semi-classical approximation in the BMN limit. The most straightforward examples involve…

高能物理 - 理论 · 物理学 2009-11-11 Michael B. Green , Stefano Kovacs , Aninda Sinha

We calculate the effective prepotentials for N=2 supersymmetric SO(N_c) and Sp(N_c) gauge theories, with an arbitrary number of hypermultiplets in the defining representation, from restrictions of the prepotentials for suitable N=2…

高能物理 - 理论 · 物理学 2009-10-30 Eric D'Hoker , I. M. Krichever , D. H. Phong