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In this short note, we present some evidence towards the existence of an algebra of BPS $G_2$ instantons. These are instantonic configurations that govern the partition functions of 7d SYM theories on local $G_2$ holonomy manifolds…

High Energy Physics - Theory · Physics 2022-09-07 Michele Del Zotto , Jihwan Oh , Yehao Zhou

We study five-dimensional minimally supersymmetric gauge theory compactified on a torus down to three dimensions, and its embedding into string/M-theory using geometric engineering. The moduli space on the Coulomb branch is hyperkaehler…

High Energy Physics - Theory · Physics 2015-05-28 Babak Haghighat , Stefan Vandoren

The instanton partition function of N=2, D=4 SU(2) gauge theory is obtained by taking the field theory limit of the topological open string partition function, given by a Chern-Simons theory, of a CY3-fold. The CY3-fold on the open string…

High Energy Physics - Theory · Physics 2007-05-23 Amer Iqbal , Amir-Kian Kashani-Poor

We construct an octonionic instanton solution to the seven dimensional Yang-Mills theory based on the exceptional gauge group $G_2$ which is the automorphism group of the division algebra of octonions. This octonionic instanton has an…

High Energy Physics - Theory · Physics 2011-02-09 Murat Gunaydin , Hermann Nicolai

We interpret instantons on a torus with twisted boundary conditions, in terms of bound states of branes. The interplay between the SU(N) and U(1) parts of the U(N) theory of N 4-branes allows the construction of a variety of bound states.…

High Energy Physics - Theory · Physics 2016-09-06 Z. Guralnik , S. Ramgoolam

We compute the principal contribution to the index in the supersymmetric quantum mechanical systems which are obtained by reduction to 0+1 dimensions of $\mathcal{N}=1$, $D=4,6,10$ super-Yang-Mills theories with gauge group SU(N). The…

High Energy Physics - Theory · Physics 2017-09-07 G. Moore , N. Nekrasov , S. Shatashvili

Explicit construction of the basic SU(2) anti-instantons over the multi-Taub--NUT geometry via the classical conformal rescaling method is exhibited. These anti-instantons satisfiy the so-called weak holonomy condition at infinity with…

Differential Geometry · Mathematics 2011-01-05 Gabor Etesi , Szilard Szabo

We compute the instanton partition functions of $\mathcal{N}=1$ SCFTs in class $\mathcal{S}_k$. We obtain this result via orbifolding Dp/D(p-4) brane systems and calculating the partition function of the supersymmetric gauge theory on the…

High Energy Physics - Theory · Physics 2017-12-06 Thomas Bourton , Elli Pomoni

We describe the moduli space of SU(N) instantons in the presence of a general surface operator of type N=n_1+ ... +n_M in terms of the representations of the so-called chain-saw quiver, which allows us to write down the instanton partition…

High Energy Physics - Theory · Physics 2011-07-19 Hiroaki Kanno , Yuji Tachikawa

We extend the recent conjecture on the relation between a certain 1/8 BPS subsector of 4d N=4 SYM on S^2 and 2d Yang-Mills theory by turning on circular 1/2 BPS 't Hooft operators linked with S^2. We show that localization predicts that…

High Energy Physics - Theory · Physics 2009-09-24 Simone Giombi , Vasily Pestun

We determine the partition function of 1/16 BPS operators in N=4 SYM at weak coupling at the one-loop level in the planar limit. This partition function is significantly different from the one computed at zero coupling. We find that it…

High Energy Physics - Theory · Physics 2008-11-26 Romuald A. Janik , Maciej Trzetrzelewski

We study non-perturbative effects in four-dimensional N=1 supersymmetric orientifold compactifications due to D-brane instantons which are generically not invariant under the orientifold projection. We show that they can yield…

High Energy Physics - Theory · Physics 2009-06-23 Mirjam Cvetic , Robert Richter , Timo Weigand

We estimate the instanton-induced vacuum energy in non-commutative U(1) Yang-Mills theory in four dimensions. In the dilute gas approximation, it is found to be plagued by infrared divergences, as a result of UV/IR mixing.

High Energy Physics - Theory · Physics 2007-05-23 Andreas A. Bichl

We study, using ADHM construction, instanton effects in an ${\CN}=2$ superconformal $Sp(N)$ gauge theory, arising as effective field theory on a system of $N$ D-3-branes near an orientifold 7-plane and 8 D-7-branes in type I' string theory.…

High Energy Physics - Theory · Physics 2009-02-23 E. Gava , K. S. Narain , M. H. Sarmadi

We investigate the large Nc limit of pure N=2 supersymmetric gauge theory with gauge group SU(Nc) by using the exact low energy effective action. Typical one-complex dimensional sections of the moduli space parametrized by a global complex…

High Energy Physics - Theory · Physics 2009-11-07 Frank Ferrari

We construct two new SL(2,Z) invariant vacua of type IIB string theory which are bound states of $(p,q)$ strings with $(m,n)$ 5-branes, written as ((F, D1), (NS5, D5)) and preserve 1/4 of the full space-time supersymmetries. For the first…

High Energy Physics - Theory · Physics 2017-09-13 Qiang Jia , J. X. Lu , Shibaji Roy

We study the moduli space for an arbitrary number of BPS monopoles in a gauge theory with an arbitrary gauge group that is maximally broken to $U(1)^k$. From the low energy dynamics of well-separated dyons we infer the asymptotic form of…

High Energy Physics - Theory · Physics 2009-10-30 Kimyeong Lee , Erick J. Weinberg , Piljin Yi

The one-instanton contribution to a circular BPS Wilson loop in N=4 SU(2) Yang--Mills theory is evaluated in semiclassical approximation. This article amplifies part of a talk given by MBG at the Strings 2001 conference, Mumbai, India…

High Energy Physics - Theory · Physics 2007-05-23 Massimo Bianchi , Michael B. Green , Stefano Kovacs

We consider non-perturbative terms in the 4d effective action due to BPS D-brane instantons, and study their continuity properties in moduli space as instantons cross lines of BPS stability, potentially becoming non-BPS. We argue that BPS…

High Energy Physics - Theory · Physics 2009-10-09 Inaki Garcia-Etxebarria , Fernando Marchesano , Angel M. Uranga

We study singular 1/2 BPS solutions in M-theory using 11-dimensional superstar solutions. The superstar solutions and their corresponding plane wave limits could give an insight how one may deform the boundary conditions to get singular,…

High Energy Physics - Theory · Physics 2007-05-23 Mohsen Alishahiha , Hossein Yavartanoo