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We construct a supersymmetric version of instanton operators in five-dimensional Yang-Mills theories. This is possible by considering a five-dimensional generalization of the familiar four-dimensional topologically twisted theory, where the…

High Energy Physics - Theory · Physics 2015-01-21 Diego Rodriguez-Gomez , Johannes Schmude

We discuss instanton operators in five-dimensional gauge theories. These are defined as disorder operators which create a non-vanishing second Chern class on a four-sphere surrounding their insertion point. As such they may be thought of as…

High Energy Physics - Theory · Physics 2015-06-23 N. Lambert , C. Papageorgakis , M. Schmidt-Sommerfeld

We study the fermionic zero modes around 1 instanton operators for 5d supersymmetric gauge theories of type USp, SO and the exceptional groups. The major motivation is to try to understand the global symmetry enhancement pattern in these…

High Energy Physics - Theory · Physics 2019-10-01 Gabi Zafrir

Supersymmetric gauge theories in five dimensions often exhibit less symmetry than the ultraviolet fixed points from which they flow. The fixed points might have larger flavor symmetry or they might even be secretly six-dimensional theories…

High Energy Physics - Theory · Physics 2015-04-08 Yuji Tachikawa

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…

High Energy Physics - Theory · Physics 2008-11-26 Massimo Bianchi , Stefano Kovacs , Giancarlo Rossi

A previous analysis of possible constraints of Yang-Mills instantons in the presence of spontaneous symmetry breaking is extended to supersymmetric QCD. It is again found that a constraint is necessary for the gauge field in second and…

High Energy Physics - Theory · Physics 2007-05-23 P. M. Glerfoss , J. Hylsberg , N. K. Nielsen

An introduction to the instanton formalism in supersymmetric gauge theories is given. We explain how the instanton calculations, in conjunction with analyticity in chiral parameters and other general properties following from supersymmetry,…

High Energy Physics - Theory · Physics 2007-05-23 Mikhail Shifman , Arkady Vainshtein

We show that supersymmetric gauge theories with a product gauge group admit quasi-instantons, which, like instantons, sit at the absolute minimum of the action in the corresponding topological sector. However, unlike ordinary instantons…

High Energy Physics - Theory · Physics 2008-07-28 Ali Imaanpur

We refine a previous proposal for obtaining the multi-instanton partition function from the supersymmetric index of the 1d supersymmetric gauge theory on the worldline of D0-branes. We provide examples where the refinements are crucial for…

High Energy Physics - Theory · Physics 2018-12-26 Eran Avraham , Oren Bergman

The richness of 5d $\mathcal{N}=1$ theories with a UV fixed point at infinite coupling is due to the existence of local disorder operators known as instanton operators. By considering the Higgs branch of $SU(2)$ gauge theories with $N_f…

High Energy Physics - Theory · Physics 2017-06-19 Stefano Cremonesi , Giulia Ferlito , Amihay Hanany , Noppadol Mekareeya

Instantons play a crucial role in understanding non-perturbative dynamics in quantum field theories, including those with spontaneously broken gauge symmetries. In the broken phase, finite-size instanton-like configurations are no longer…

High Energy Physics - Theory · Physics 2026-04-06 Takafumi Aoki , Masahiro Ibe , Satoshi Shirai

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…

High Energy Physics - Theory · Physics 2014-12-23 Daniel Krefl , Johannes Walcher

Supersymmetry plays a main role in all current thinking about superstring theory. Indeed, many remarkable properties of string theory have been explained using supersymmetry as a tool. In this dissertation, we review the basic formulation…

High Energy Physics - Theory · Physics 2019-11-26 Ahmed Ayad

All five-dimensional non-abelian gauge theories have a $U(1)_I$ global symmetry associated with instantonic particles. We describe an obstruction to coupling $U(1)_I$ to a classical background gauge field that occurs whenever the theory has…

High Energy Physics - Theory · Physics 2022-02-03 Pietro Benetti Genolini , Luigi Tizzano

We use string duality to describe instanton induced spontaneous supersymmetry breaking in string compactifications with additional background fields. Dynamical supersymmetry breaking by space-time instantons in the heterotic string theory…

High Energy Physics - Theory · Physics 2014-11-18 P. Mayr

The circle compactification of the 6-dim (2,0) superconformal theory of $A_{N-1}$ type leads the 5-dim SU(N) maximally supersymmetric gauge theory. Instanton solitons embody Kaluza-Klein modes and are conjectured to be composed of partonic…

High Energy Physics - Theory · Physics 2015-05-28 Stefano Bolognesi , Kimyeong Lee

Certain static soliton configurations of gauge fields in 4+1 dimensions correspond to the instanton in 4-Euclidean dimensions ``turned on its side,'' becoming a monopole in 4+1. The periodic instanton solution can be used with the method of…

High Energy Physics - Theory · Physics 2009-10-31 Christopher T. Hill , Pierre Ramond

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.…

High Energy Physics - Theory · Physics 2009-10-22 Soo-Jong Rey , T. R. Taylor

Using D3/D(-1) brane set-up in type IIB string theory we introduce gauge-stringy instantons in N=2 U(N) supersymmetry theories with one matter multiplet in symmetric representation. In addition to the gauge and stringy moduli there exist…

High Energy Physics - Theory · Physics 2015-06-16 Hossein Ghorbani

We discuss the effects of instantons in partially broken gauge groups on the low-energy effective gauge theory. Such effects arise when some of the instantons of the original gauge group G are no longer contained in (or can not be gauge…

High Energy Physics - Theory · Physics 2009-09-17 Csaba Csaki , Hitoshi Murayama
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