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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 propose an explicit description of duality walls which encode at low energy the global symmetry enhancement expected in the UV completion of certain five-dimensional gauge theories. The proposal is supported by explicit localization…

High Energy Physics - Theory · Physics 2015-06-15 Davide Gaiotto , Hee-Cheol Kim

We relate the non-perturbative exact results in supersymmetry to perturbation theory using several different methods: instanton calculations at weak or strong coupling, a method using gaugino condensation and another method relating strong…

High Energy Physics - Theory · Physics 2016-09-06 D. Finnell , P. Pouliot

We review recent progress in determining the effects of D-brane instantons in N=1 supersymmetric compactifications of Type II string theory to four dimensions. We describe the abstract D-brane instanton calculus for holomorphic couplings…

High Energy Physics - Theory · Physics 2009-12-15 Ralph Blumenhagen , Mirjam Cvetic , Shamit Kachru , Timo Weigand

We argue the connection of Nekrasov's partition function in the \Omega background and the moduli space of D-branes, suggested by the idea of geometric engineering and Gopakumar-Vafa invariants. In the instanton expansion of N=2 SU(2)…

High Energy Physics - Theory · Physics 2009-11-11 Hidetoshi Awata , Hiroaki Kanno

We study the stringy instanton partition function of four dimensional ${\cal N}=2$ $U(N)$ supersymmetric gauge theory which was obtained by Bonelli et al in 2013. In type IIB string theory on $\mathbb{C}^2\times T^*\mathbb{P}^1\times…

High Energy Physics - Theory · Physics 2015-07-21 Masahide Manabe

We propose 5-brane webs for 5d $\mathcal{N}=1$ $G_2$ gauge theories. From a Higgsing of the $SO(7)$ gauge theory with a hypermultiplet in the spinor representation, we construct two types of 5-brane web configurations for the pure $G_2$…

High Energy Physics - Theory · Physics 2018-03-22 Hirotaka Hayashi , Sung-Soo Kim , Kimyeong Lee , Futoshi Yagi

Motivated by possible implications on the problem of moduli stabilization and other phenomenological aspects, we study D-brane instanton effects in flux compactifications. We focus on a local model and compute non-perturbative interactions…

High Energy Physics - Theory · Physics 2008-12-23 M. Billo' , L. Ferro , M. Frau , F. Fucito , A. Lerda , J. F. Morales

Non-singular instantons are shown to exist on noncommutative R^4 even with a U(1) gauge group. Their existence is primarily due to the noncommutativity of the space. The relation between U(1) instantons on noncommutative R^4 and the…

High Energy Physics - Theory · Physics 2008-11-26 Furuuchi Kazuyuki

We consider instanton effects in a non-supersymmetric gauge theory obtained by marginal deformations of the N=4 SYM. This gauge theory is expected to be dual to type IIB string theory on the AdS_5 times deformed-S^5 background. From an…

High Energy Physics - Theory · Physics 2009-11-11 Callum Durnford , George Georgiou , Valentin V. Khoze

We apply the methods recently developed for computation of type IIA disk instantons using mirror symmetry to a large class of D-branes wrapped over Lagrangian cycles of non-compact Calabi-Yau 3-folds. Along the way we clarify the notion of…

High Energy Physics - Theory · Physics 2015-06-25 Mina Aganagic , Albrecht Klemm , Cumrun Vafa

Building on our previous work [2109.01110], we will compute a new kind of $G_2$ instanton partition function. By doing so, we complete a set of building blocks of the instanton partition function associated with a large class of $G_2$…

High Energy Physics - Theory · Physics 2022-08-22 Jihwan Oh , Yehao Zhou

This paper proposes a new approach to deriving a finite particle content, suitable for the construction of a gauge theory. Specifically, the outlined construction generates a finite set of irreducible gauge representations, which are…

General Physics · Physics 2020-10-08 Brage Gording

We argue that one can see a specific class of "stringy" D-instantons in the underlying 4D gauge theory as the UV completion of an ordinary gauge instanton of a completely broken gauge group corresponding to the "empty" cycle the D-instanton…

High Energy Physics - Theory · Physics 2009-02-20 Daniel Krefl

We study Nekrasov's deformed partition function of 5-dimensional supersymmetric Yang-Mills theory compactified on a circle. Mathematically it is the generating function of the characters of the coordinate rings of the moduli spaces of…

Algebraic Geometry · Mathematics 2007-05-23 Hiraku Nakajima , Kota Yoshioka

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

Quiver 5D $\mathcal{N}=1$ gauge theories describe the low-energy dynamics on webs of $(p,q)$-branes in type IIB string theory. S-duality exchanges NS5 and D5 branes, mapping $(p,q)$-branes to branes of charge $(-q,p)$, and, in this way,…

High Energy Physics - Theory · Physics 2019-07-19 Jean-Emile Bourgine

Recent work on adding flavour to the generalized AdS/CFT correspondence is reviewed. In particular, we consider instanton configurations on two coincident D7 brane probes. These are matched to the Higgs branch of the dual field theory. In…

High Energy Physics - Theory · Physics 2009-11-11 Riccardo Apreda , Johanna Erdmenger , Nick Evans , Johannes Grosse , Zachary Guralnik

We study the large N expansion of the partition function of the quiver superconformal Chern-Simons theories deformed by two continuous parameters which correspond to the general R-charge assignment to the matter fields. Though the…

High Energy Physics - Theory · Physics 2016-04-05 Tomoki Nosaka

We explore N=(1,0) superconformal six-dimensional theories arising from M5-branes probing a transverse A_k singularity. Upon circle compactification to 5 dimensions, we describe this system with a dual pq-web of five-branes and propose the…

High Energy Physics - Theory · Physics 2016-10-12 Sergio Benvenuti , Giulio Bonelli , Massimiliano Ronzani , Alessandro Tanzini
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