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We introduce the shell formula-a framework that unifies the description of partition functions whose pole structures are classified by Young diagrams of arbitrary dimension. The formalism yields explicit closed-form expressions and…

High Energy Physics - Theory · Physics 2026-05-08 Jiaqun Jiang

We investigate the differential geometry of the moduli space of instantons on S^3 x S^1. Extending previous results, we show that a sigma-model with this target space can be expected to possess a large N=4 superconformal symmetry,…

High Energy Physics - Theory · Physics 2024-12-23 Edward Witten

We compute the partition function for the exotic instanton system corresponding to D-instantons on D7 branes in Type I' theory. We exploit the BRST structure of the moduli action and its deformation by RR background to fully localize the…

High Energy Physics - Theory · Physics 2009-08-05 Marco Billo' , Livia Ferro , Marialuisa Frau , Laurent Gallot , Alberto Lerda , Igor Pesando

We generalize Nakajima-Yoshioka blowup equations to arbitrary gauge group with hypermultiplets in arbitrary representations. Using our blowup equations, we compute the instanton partition functions for 4d N=2 and 5d N=1 gauge theories for…

High Energy Physics - Theory · Physics 2020-01-08 Joonho Kim , Sung-Soo Kim , Ki-Hong Lee , Kimyeong Lee , Jaewon Song

We use the exact instanton expansion to illustrate various string characteristics of noncommutative gauge theory in two dimensions. We analyse the spectrum of the model and present some evidence in favour of Hagedorn and fractal behaviours.…

High Energy Physics - Theory · Physics 2014-11-18 Luca Griguolo , Domenico Seminara , Richard J. Szabo

We study $p=-1$ D-brane in type IIB superstring theory. In addition to RR instanton, we obtain the RR charged wormhole solution in the Einstein frame. This corresponds to the ten-dimensional singular wormhole solution with infinite…

High Energy Physics - Theory · Physics 2015-06-26 Jin Young Kim , H. W. Lee , Y. S. Myung

We point out that in some situations it is possible to use matrix model techniques a la Dijkgraaf-Vafa to perturbatively compute D-brane instanton effects. This provides an explanation in terms of stringy instantons of the results in…

High Energy Physics - Theory · Physics 2009-07-22 Iñaki García-Etxebarria

We study the effects produced by D-brane instantons on the holomorphic quantities of a D-brane gauge theory at an orbifold singularity. These effects are not limited to reproducing the well known contributions of the gauge theory instantons…

High Energy Physics - Theory · Physics 2009-11-13 Riccardo Argurio , Matteo Bertolini , Gabriele Ferretti , Alberto Lerda , Christoffer Petersson

By reduction along the time direction, black holes in 4 dimensions yield instantons in 3 dimensions. Each of these instantons contributes individually at order $\exp(-|Q|/g_s)$ to certain protected couplings in the three-dimensional…

High Energy Physics - Theory · Physics 2009-07-22 Boris Pioline , Stefan Vandoren

We study supergravity instantons sourced by axion (and saxion) fields in the Euclidean $AdS_3\times S^3 \times CY_2$ vacua of IIB supergravity. Such instantons are described by geodesic curves on the moduli space; the timelike geodesics can…

High Energy Physics - Theory · Physics 2022-06-22 D. Astesiano , D. Ruggeri , M. Trigiante , T. Van Riet

We derive D-brane gauge theories for C^3/Z_n x Z_n orbifolds with discrete torsion and study the moduli space of a D-brane at a point. We show that, as suggested in previous work, closed string moduli do not fully resolve the singularity,…

High Energy Physics - Theory · Physics 2009-10-31 Michael R. Douglas , Bartomeu Fiol

We study the non-perturbative effects induced by stringy instantons on N=2 SU}(N) gauge theories in four dimensions, realized on fractional D3 branes in a C^3/Z_3 orientifold. The stringy instantons, corresponding to D(-1) branes that…

High Energy Physics - Theory · Physics 2015-03-17 Hossein Ghorbani , Daniele Musso , Alberto Lerda

We find an exact solution, with a nonzero net D-brane charge, in the boundary string field theory of brane-anti-brane pairs on a torus. We explicitly take the T-dual of this configuration. The Nahm-transformation of the instantons is…

High Energy Physics - Theory · Physics 2009-12-10 Seiji Terashima

The purpose of this paper is to describe a relationship between the moduli space of vortices and the moduli space of instantons. We study charge k vortices in U(N) Yang-Mills-Higgs theories and show that the moduli space is isomorphic to a…

High Energy Physics - Theory · Physics 2009-11-10 Amihay Hanany , David Tong

We discuss some physical issues related to the K-theoretic classification of D-brane charges, putting an emphasis on the role of D-brane instantons. The relation to D-instantons provides a physical interpretation to the mathematical…

High Energy Physics - Theory · Physics 2009-11-07 Juan Maldacena , Gregory Moore , Nathan Seiberg

Instanton bundles on $\mathbb{P}^3$ have been at the core of the research in Algebraic Geometry during the last thirty years. Motivated by the recent extension of their definition to other Fano threefolds of Picard number one, we develop…

Algebraic Geometry · Mathematics 2019-09-26 Francesco Malaspina , Simone Marchesi , Joan Pons-Llopis

In this paper, we study the 't Hooft type instantons in eight dimensions, which satisfy the (anti)self-dual equations $F\wedge F=\pm\ast_8F\wedge F$. Using various designs of such instantons, we find new soliton solutions to the low-energy…

High Energy Physics - Theory · Physics 2021-11-09 E. K. Loginov

D-brane configurations containing fundamental strings are constructed as classical solutions of Yang-Mills theory. The fundamental strings in these systems stretch between D-branes. In the case of D1-branes, this construction gives smooth…

High Energy Physics - Theory · Physics 2009-11-10 Koji Hashimoto , Washington Taylor

We show that the moduli space of the $(2,0)$ and little-string theories compactified on $T^3$ with R-symmetry twists is equal to the moduli space of U(1) instantons on a non-commutative $T^4$. The moduli space of $U(q)$ instantons on a…

High Energy Physics - Theory · Physics 2007-05-23 Yeuk-Kwan E. Cheung , Ori J. Ganor , Morten Krogh , Andrei Yu. Mikhailov

Instantons, emerged in particle physics, have been intensely studied since the 1970's and had an enormous impact in mathematics since then. In this paper, we focus on one particular way in which mathematical physics has guided the…

Algebraic Geometry · Mathematics 2024-04-15 Gaia Comaschi , Marcos Jardim , Cristian Martinez , Dapeng Mu