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The one-instanton contributions to various correlation functions of supercurrents in four-dimensional N=4 supersymmetric SU(2) Yang-Mills theory are evaluated to the lowest order in perturbation theory.Expressions of the same form are…

High Energy Physics - Theory · Physics 2009-10-31 Massimo Bianchi , Michael B. Green , Stefano Kovacs , Giancarlo Rossi

When eight-dimensional instantons, satisfying F \wedge F = \pm \star_8 (F\wedge F), shrink to zero size, we find stringy objects in higher order ten-dimensional Yang-Mills (viewed as a low-energy limit of open string theory). The associated…

High Energy Physics - Theory · Physics 2014-11-18 Ruben Minasian , Samson L. Shatashvili , Pierre Vanhove

In a certain kinematic limit, where the effects of spacetime curvature (and other background fields) greatly simplify, the light-cone gauge world-sheet action for a type IIB superstring on AdS_5 x S^5 reduces to that of a free field theory.…

High Energy Physics - Theory · Physics 2012-08-27 Curtis G. Callan, , Hok Kong Lee , Tristan McLoughlin , John H. Schwarz , Ian Swanson , Xinkai Wu

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

We consider string pair production in non homogeneous electric backgrounds. We study several particular configurations which can be addressed with the Euclidean world-sheet instanton technique, the analogue of the world-line instanton for…

High Energy Physics - Theory · Physics 2016-05-25 Stefano Bolognesi , Eliezer Rabinovici , Gianni Tallarita

We use localization to evaluate the functional integral of string field theory on AdS_2xS^2 background corresponding to the near horizon geometry of supersymmetric black holes in 4d compactifications with N=2 supersymmetry. In particular,…

High Energy Physics - Theory · Physics 2013-05-13 Atish Dabholkar , Joao Gomes , Sameer Murthy

The arcane ADHM construction of Yang-Mills instantons can be very naturally understood in the framework of D-brane dynamics in string theory. In this point-of-view, the mysterious auxiliary symmetry of the ADHM construction arises as a…

High Energy Physics - Theory · Physics 2007-05-23 Nick Dorey , Timothy J. Hollowood , Valentin V. Khoze

D-instantons of Type IIB string theory are Ramond-Ramond counterpart of Giddings-Strominger wormholes connecting two asymptotic regions of spacetime. Such wormholes, according to Coleman, might lead to spacetime topology change,…

High Energy Physics - Theory · Physics 2010-04-06 Soo-Jong Rey

We consider world-sheet instanton effects in N=1 string orientifolds of noncompact toric Calabi-Yau threefolds. We show that unoriented closed string topological amplitudes can be exactly computed using localization techniques for…

High Energy Physics - Theory · Physics 2009-11-10 Duiliu-Emanuel Diaconescu , Bogdan Florea , Aalok Misra

In this lecture we summarize some recent work on the understanding of instanton effects in string theories with 16 supersymmetries. In particular, we consider F^4 couplings using the duality between the heterotic string on T^4 and type IIA…

High Energy Physics - Theory · Physics 2015-06-25 N. A. Obers , B. Pioline

Many quantum field theories in one, two and four dimensions possess remarkable limits in which the instantons are present, the anti-instantons are absent, and the perturbative corrections are reduced to one-loop. We analyze the…

High Energy Physics - Theory · Physics 2007-05-23 E. Frenkel , A. Losev , N. Nekrasov

The counting of microstates of BPS black-holes on local Calabi-Yau of the form ${\mathcal O}(p-2)\oplus{\mathcal O}(-p) \longrightarrow S^2$ is explored by computing the partition function of q-deformed Yang-Mills theory on $S^2$. We…

High Energy Physics - Theory · Physics 2015-06-26 N. Caporaso , M. Cirafici , L. Griguolo , S. Pasquetti , D. Seminara , R. J. Szabo

Yang-Mills instantons are solitonic particles in d=4+1 dimensional gauge theories. We construct and analyse the quantum Hall states that arise when these particles are restricted to the lowest Landau level. We describe the ground state…

High Energy Physics - Theory · Physics 2018-05-09 Alec Barns-Graham , Nick Dorey , Nakarin Lohitsiri , David Tong , Carl Turner

We discuss two-dimensional sigma models on moduli spaces of instantons on K3 surfaces. These N=(4,4) superconformal field theories describe the near-horizon dynamics of the D1-D5-brane system and are dual to string theory on AdS_3. We…

High Energy Physics - Theory · Physics 2009-10-31 R. Dijkgraaf

Integrability occupies an increasingly important role in direct tests of the AdS/CFT correspondence. Integrable structures have appeared in both planar N=4 super Yang-Mills theory and type IIB superstring theory on AdS_5 x S^5. A…

High Energy Physics - Theory · Physics 2007-05-23 Ian Swanson

We compute $1/\lambda$ corrections to the four-point functions of half-BPS operators in $SU(N)$ $\mathcal{N}=4$ super-Yang-Mills theory at large $N$ and large 't Hooft coupling $\lambda=g_\text{YM}^2 N$ using two methods. Firstly, we relate…

High Energy Physics - Theory · Physics 2020-01-29 Damon J. Binder , Shai M. Chester , Silviu S. Pufu , Yifan Wang

These notes have two parts. The first is a study of Nekrasov's deformed partition functions $Z(\ve_1,\ve_2,\vec{a};\q,\vec{\tau})$ of N=2 SUSY Yang-Mills theories, which are generating functions of the integration in the equivariant…

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

I use the universal instanton formalism to discuss quantum effects in the open-closed topological string theory of a Calabi-Yau A-model, in the presence of a multiply-wrapped `Floer' D-brane. This gives a precise meaning (up to the issue of…

High Energy Physics - Theory · Physics 2007-05-23 C. I. Lazaroiu

We calculate gauge instanton corrections to a class of higher derivative string effective couplings introduced in [1]. We work in Type I string theory compactified on K3xT2 and realise gauge instantons in terms of D5-branes wrapping the…

High Energy Physics - Theory · Physics 2014-03-05 Ignatios Antoniadis , Ioannis Florakis , Stefan Hohenegger , K. S. Narain , Ahmad Zein Assi

We propose a bosonic string dual to large $N$ chiral Yang-Mills in two dimensions at finite 't Hooft coupling. The worldsheet theory is a $\beta$-$\gamma$ system deformed by a chiral Polchinski-Strominger term. We reproduce the partition…

High Energy Physics - Theory · Physics 2025-12-22 Shota Komatsu , Pronobesh Maity