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Topological string theory has multi-instanton sectors which lead to non-perturbative effects in the string coupling constant and control the large order behavior of the perturbative genus expansion. As proposed by Couso, Edelstein, Schiappa…

High Energy Physics - Theory · Physics 2023-11-01 Jie Gu , Marcos Marino

We show how the space spinor formalism for 2-component spinors can be used to construct estimates for spinor fields satisfying first order equations. We discuss the connection of the approach presented in this article with other strategies…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Mariem Magdy , Juan A. Valiente Kroon

Several problems in computer algebra can be efficiently solved by reducing them to calculations over finite fields. In this paper, we describe an algorithm for the reconstruction of multivariate polynomials and rational functions from their…

High Energy Physics - Phenomenology · Physics 2016-12-14 Tiziano Peraro

We discuss duality between the linear and chiral dilaton formulations, in the presence of super-Yang-Mills instanton corrections to the effective action. In contrast to previous work on the subject, our approach appeals directly to explicit…

High Energy Physics - Theory · Physics 2009-11-10 Joel Giedt , Brent D. Nelson

We consider 2+1-dimensional classical noncommutative scalar field theory. The general ansatz for a radially symmetric solution is obtained. Some exact solutions are presented. Their possible physical meaning is discussed. The case of the…

High Energy Physics - Theory · Physics 2010-11-19 A. Solovyov

We compute the instanton expansions of the holomorphic couplings in the effective action of certain $\cx N=1$ supersymmetric four-dimensional open string vacua. These include the superpotential $W(\phi)$, the gauge kinetic function…

High Energy Physics - Theory · Physics 2007-05-23 P. Mayr

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

These notes are based on lectures given by C. Callan and J. Harvey at the 1991 Trieste Spring School on String Theory and Quantum Gravity. The subject is the construction of supersymmetric soliton solutions to superstring theory. A brief…

High Energy Physics - Theory · Physics 2007-05-23 C. G. Callan , J. A. Harvey , A. E. Strominger

I review recent results on conformal field theories in four dimensions and quantum field theories interpolating between conformal fixed points, supersymmetric and non-supersymmetric. The talk is structured in three parts: i) central…

High Energy Physics - Theory · Physics 2007-05-23 D. Anselmi

These lectures review some of the basic properties of $N=2$ superconformal field theories and the corresponding topological field theories. One of my basic aims is to show how the techniques of topological field theory can be used to…

High Energy Physics - Theory · Physics 2007-05-23 N. P. Warner

We review some aspects of D-instantons in intersecting D-brane models. In particular, we present applications of the recently proposed instanton calculus to computations of charged matter superpotential couplings and corrections to the…

High Energy Physics - Theory · Physics 2008-11-26 Nikolas Akerblom , Ralph Blumenhagen , Dieter Lust , Maximilian Schmidt-Sommerfeld

We discuss the multiple summability of a multilinear map $T:X_1\times\cdots\times X_m\to Y$ when we have informations on the summability of the maps it induces on each coordinate. Our methods have applications to inclusion theorems for…

Functional Analysis · Mathematics 2017-04-17 Frédéric Bayart

We derive the supersymmetric collective field theory for the Marinari-Parisi model. For a specific choice of the superpotential, to leading order we find a one parameter family of ground states which can be connected via instantons. At this…

High Energy Physics - Theory · Physics 2015-06-26 J. D. Cohn , H. Dykstra

The topic of the review is the application of new ideas of unconventional quantum states to the physics of condensed matter, in particular of solid state, in the context of modern field theory. A comparison is made with classical papers on…

Strongly Correlated Electrons · Physics 2019-11-19 V. Yu. Irkhin , Yu. N. Skryabin

We use semiclassical methods to calculate the probability of inducing a change of topology via a high-energy collision in the SU(2)-Higgs theory. This probability is determined by a complex solution to a classical boundary value problem on…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Bezrukov , C. Rebbi , V. Rubakov , P. Tinyakov

In this letter we argue that instanton-dominated Green's functions in N=2 Super Yang-Mills theories can be equivalently computed either using the so-called constrained instanton method or making reference to the topological twisted version…

High Energy Physics - Theory · Physics 2009-10-31 D. Bellisai , F. Fucito , A. Tanzini , G. Travaglini

We begin by defining general hypergeometric functions over finite fields and obtaining a finite field analogue of a classical symmetry in their complex counterparts. We give a geometric proof for the symmetry by constructing isomorphisms…

Number Theory · Mathematics 2026-04-22 Akio Nakagawa

By using the recursion relations found in the framework of N=2 Super Yang-Mills theory with gauge group SU(2), we reconstruct the structure of the instanton moduli space and its volume form for all winding numbers. The construction is…

High Energy Physics - Theory · Physics 2011-07-19 Marco Matone

In this paper, we introduce the so-called multiscale limit for spectral curves, associated with real finite-gap Sine-Gordon solutions. This technique allows to solve the old problem of calculating the density of topological charge for real…

Mathematical Physics · Physics 2009-04-30 P. G. Grinevich , K. V. Kaipa

A superfield formalism for quantum fields with N-extended superconformal symmetry is developed using vertex algebra techniques in four dimensions.

High Energy Physics - Theory · Physics 2015-04-01 Dimitar Nedanovski