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This is a review of some beautiful matrix models related to the moduli space of Riemann surfaces as well as to noncritical c=1 string theory at self-dual radius. These include the Penner model and the W-infinity model, which have different…

High Energy Physics - Theory · Physics 2007-05-23 Sunil Mukhi

We study the late time plateau behavior of the spectral form factor in the Gaussian Unitary Ensemble (GUE) random matrix model. The time derivative of the spectral form factor in the plateau regime is not strictly zero, but non-zero due to…

High Energy Physics - Theory · Physics 2019-05-01 Kazumi Okuyama

We discuss a string model where a conformal four-dimensional N=2 gauge theory receives corrections to its gauge kinetic functions from "stringy" instantons. These contributions are explicitly evaluated by exploiting the localization…

High Energy Physics - Theory · Physics 2014-11-20 Marco Billo' , Marialuisa Frau , Francesco Fucito , Alberto Lerda , Jose F. Morales , Rubik Poghossian

We derive the precise relation between level matching condition and fractional instanton numbers in six dimensional, abelian and supersymmetric orbifolds of E8 x E8 heterotic string theory. The fractional part of the two E8 instanton…

High Energy Physics - Theory · Physics 2009-10-31 Jan O. Conrad

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

In the reduction of 4d dualities to 3d there are non-perturbative effects arising from monopoles acting as instantons. This mechanism has been reproduced in string theory by engineering the theories in a IIA brane setup. Nevertheless there…

High Energy Physics - Theory · Physics 2016-03-23 A. Amariti

We study instanton solutions and superpotentials for the large number of vacua of the plane-wave matrix model and a 2+1 dimensional Super Yang-Mills theory on $R\times S^2$ with sixteen supercharges. We get the superpotential in the weak…

High Energy Physics - Theory · Physics 2015-03-11 Hai Lin

In this article we consider a path integral formulation of the Hubbard model based on a SU(2)-symmetrical Hubbard-Stratonovich transformation that couples auxiliary field to the local electronic density. This decoupling is known to have a…

Strongly Correlated Electrons · Physics 2023-11-21 Maksim Ulybyshev , Christopher Winterowd , Fakher Assaad , Savvas Zafeiropoulos

We present the unrefined instanton partition functions of various 5d gauge theories with matter beyond the fundamental representation as sums over Young diagrams. By using these explicit expressions, we verify a range of identities among…

High Energy Physics - Theory · Physics 2023-04-05 Yanyan Chen , Jiaqun Jiang , Satoshi Nawata , Yilu Shao

We calculate multi-instanton effects in a three-dimensional gauge theory with N=8 supersymmetry and gauge group SU(2). The k-instanton contribution to an eight-fermion correlator is found to be proportional to the Gauss-Bonnet-Chern…

High Energy Physics - Theory · Physics 2009-10-30 N. Dorey , V. V. Khoze , M. P. Mattis

Recently it has been shown that string instanton effects may give rise to neutrino Majorana masses in certain classes of semi-realistic string compactifications. In this paper we make a systematic search for supersymmetric MSSM-like Type II…

High Energy Physics - Theory · Physics 2009-11-13 L. E. Ibanez , A. N. Schellekens , A. M. Uranga

We discuss non-perturbative effects in the ABJM model due to monopole instantons. We begin by constructing the instanton solutions in the $U(2)\times U(2)$ model, explicitly, and computing the Euclidean action. The Wick-rotated Lagrangian…

High Energy Physics - Theory · Physics 2011-06-02 Kazuo Hosomichi , Ki-Myeong Lee , Sangmin Lee , Sungjay Lee , Jaemo Park , Piljin Yi

We look for instanton solutions in a class of two scalar field gravity models, which includes the low energy string action in four dimensions. In models where the matter field has a potential with a false vacuum, we find that non-singular…

High Energy Physics - Theory · Physics 2009-10-31 P. M. Saffin , Anupam Mazumdar , E. J. Copeland

0-brane of type IIA string theory can be interpreted as a dimensional reduction of a gravitational wave in 11 dimensions. We observe that a similar interpretation applies also to the D-instanton background of type IIB theory: it can be…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin

The contribution of instanton-induced effective inter-quark interactions to the baryon mass splittings was considered in the bag model. It is found that results are different from those obtained in the constituent quark model where the…

High Energy Physics - Phenomenology · Physics 2009-10-22 D. Klabučar

The validity of the instanton analysis approach is tested numerically in the case of the diffraction-amplification problem $\partial_z\psi -\frac{i}{2m}\partial^2_{x^2} \psi =g\vert S\vert^2\, \psi$ for $\ln U\gg 1$, where…

Statistical Mechanics · Physics 2024-11-27 Philippe Mounaix

The tree-level amplitude for the scattering of two gauge particles constrained to move on the two distinct boundaries of eleven-dimensional space-time in the Horava-Witten formulation of M-theory is constructed. At low momenta this…

High Energy Physics - Theory · Physics 2009-10-31 Tathagata Dasgupta , Matthias R. Gaberdiel , Michael B. Green

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

Four-dimensional quaternion-Kaehler metrics with an isometry are determined by solutions to the SU($\infty$) Toda equation. We set up a perturbation theory to construct approximate solutions to the latter which can be interpreted as…

High Energy Physics - Theory · Physics 2014-09-02 Ulrich Theis

We express all correlation functions in timelike boundary Liouville theory as unitary matrix integrals and develop efficient techniques to evaluate these integrals. We compute large classes of correlation functions explicitly, including an…

High Energy Physics - Theory · Physics 2009-11-10 Neil R. Constable , Finn Larsen