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We show that a partition function of topological twisted N=4 Yang-Mills theory is given by Seiberg-Witten invariants on a Riemannian four manifolds under the condition that the sum of Euler number and signature of the four manifolds vanish.…

High Energy Physics - Theory · Physics 2019-08-17 Akifumi Sako , Toru Sasaki

Gravitational instantons ''Lambda-instantons'' are defined here for any given value Lambda of the cosmological constant. A multiple of the Euler characteristic appears as an upper bound for the de Sitter action and as a lower bound for a…

High Energy Physics - Theory · Physics 2009-11-11 Bernard Julia , Jerome Levie , Sebastien Ray

The exact quantum integrability problem of the membrane is investigated. It is found that the spherical membrane moving in flat target spacetime backgrounds is an exact quantum integrable system for a particular class of solutions of the…

High Energy Physics - Theory · Physics 2008-02-03 Carlos Castro

The exact quantum integrability aspects of a sector of the membrane is investigated. It is found that spherical membranes moving in flat target spacetime backgrounds admit a class of integrable solutions linked to SU(infty) SDYM equations…

High Energy Physics - Theory · Physics 2007-05-23 Carlos Castro

We show how to do semiclassical nonperturbative computations within the worldline approach to quantum field theory using ``worldline instantons''. These worldline instantons are classical solutions to the Euclidean worldline loop equations…

High Energy Physics - Theory · Physics 2009-11-11 Gerald V. Dunne , Christian Schubert

We interpret a class of 4k-dimensional instanton solutions found by Ward, Corrigan, Goddard and Kent as four-dimensional instantons at angles. The superposition of each pair of four-dimensional instantons is associated with four angles…

High Energy Physics - Theory · Physics 2009-10-09 G. Papadopoulos , A. Teschendorff

This introductory part of the author's PhD compilation thesis discusses non-perturbative aspects of string theory, with focus on D-instantons which play key roles in the context of string phenomenology and dualities. By translating ideas…

High Energy Physics - Theory · Physics 2016-04-05 Christoffer Petersson

Recently, a topological field theory of membrane-matter coupled to BF theory in arbitrary spacetime dimensions was proposed [1]. In this paper, we discuss various aspects of the four-dimensional theory. Firstly, we study classical solutions…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Winston J. Fairbairn , Alejandro Perez

We consider geodesics of infinite length and constant 4d dilaton in the (classical) hypermultiplet moduli space of type II Calabi-Yau compactifications. When approaching such infinite distance points, a large amount of D-instantons develop…

High Energy Physics - Theory · Physics 2019-09-04 Fernando Marchesano , Max Wiesner

We relate the moduli space of Yang-Mills instantons to quaternionic manifolds. For instanton number one, the Wolf spaces play an important role. We apply these ideas to instanton calculations in N=4 SYM theory.

High Energy Physics - Theory · Physics 2007-05-23 Stefan Vandoren

We extend the twistor methods developed in our earlier work on linear deformations of hyperkahler manifolds [arXiv:0806.4620] to the case of quaternionic-Kahler manifolds. Via Swann's construction, deformations of a 4d-dimensional…

High Energy Physics - Theory · Physics 2010-04-08 Sergei Alexandrov , Boris Pioline , Frank Saueressig , Stefan Vandoren

Multi-instanton solutions in the eight and seven dimensional Yang-Mills fields theory is obtained. Extended-soliton solutions to the low-energy heterotic-field-theory equations of motion is constructed from this higher-dimensional…

High Energy Physics - Theory · Physics 2009-11-11 E. K. Loginov

The correspondence between Matrix String Theory in the strong coupling limit and IIA superstring theory can be shown by means of the instanton solutions of the former. We construct the general instanton solutions of Matrix String Theory…

High Energy Physics - Theory · Physics 2009-10-31 G. Bonelli , L. Bonora , F. Nesti , A. Tomasiello

We review the relation between 4n-dimensional quaternion-Kahler metrics with n+1 abelian isometries and superconformal theories of n+1 tensor supermultiplets. As an application we construct the class of eight-dimensional quaternion-Kahler…

High Energy Physics - Theory · Physics 2008-11-26 Bernard de Wit , Frank Saueressig

We present a novel formulation of the instanton equations in 8-dimensional Yang-Mills theory. This formulation reveals these equations as the last member of a series of gauge-theoretical equations associated with the real division algebras,…

High Energy Physics - Theory · Physics 2015-06-26 JM Figueroa-O'Farrill

We systematically investigate instanton corrections from wrapped Euclidean D-branes to the matter field superpotential of various classes of N=1 supersymmetric D-brane models in four dimensions. Both gauge invariance and the counting of…

High Energy Physics - Theory · Physics 2008-11-26 Ralph Blumenhagen , Mirjam Cvetic , Timo Weigand

We construct a five-parameter family of gauge-nonequivalent SU(2) instantons on a noncommutative four sphere $S_\theta^4$ and of topological charge equal to -1. These instantons are critical points of a gauge functional and satisfy…

Quantum Algebra · Mathematics 2008-11-26 Giovanni Landi , Walter D. van Suijlekom

It is known that self-duality equations for multi-instantons on a line in four dimensions are equivalent to minimal surface equations in three dimensional Minkowski space. We extend this equivalence beyond the equations of motion and show…

High Energy Physics - Theory · Physics 2009-10-31 Bayram Tekin

In this paper we revisit the arguments that have led to the proposal of a multi-instanton measure for supersymmetric Yang-Mills theories. We then recall how the moduli space of gauge connections on $\real^4$ can be built from a…

High Energy Physics - Theory · Physics 2009-10-31 Ugo Bruzzo , Francesco Fucito , Alessandro Tanzini , Gabriele Travaglini

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
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