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We construct a family of instanton metric obtained from new exact singular solutions for minimal surfaces by noticing the correspondence between minimal surfaces in the three dimesional Euclidean space and gravitational instantons…

Differential Geometry · Mathematics 2018-02-06 Weiping Yan

By considering 5--dimensional cosmological models with a bulk filled with a pressureless scalar field; equivalently dust matter, and a negative cosmological constant, we have found a regular instantonic solution which is free from any…

High Energy Physics - Theory · Physics 2014-11-18 M. Bouhmadi-Lopez , P. F. Gonzalez-Diaz , A. Zhuk

We consider solutions of massive IIA supergravity corresponding to the half-BPS intersection of D8/D4-branes with fundamental strings. The $1+1$-dimensional intersection preserves the symmetry $D(2,1;\gamma;1) \times SO(4)$. We give a…

High Energy Physics - Theory · Physics 2015-06-22 John Estes , Darya Krym , Bert Van Pol

This is the 13th article in the collection of reviews "Exact results in N=2 supersymmetric gauge theories", ed. J. Teschner. It discusses the relation between the instanton partition functions and the partition function of the topological…

High Energy Physics - Theory · Physics 2014-12-23 Daniel Krefl , Johannes Walcher

String theory contains various extended objects. Among those, objects of codimension two (such as the D7-brane) are particularly interesting. Codimension two objects carry non-Abelian charges which are elements of a discrete U-duality group…

High Energy Physics - Theory · Physics 2014-11-19 Jan de Boer , Daniel R. Mayerson , Masaki Shigemori

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

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

I develop a formalism for solving topological field theories explicitly, in the case when the explicit expression of the instantons is known. I solve topological Yang-Mills theory with the $k=1$ Belavin {\sl et al.} instanton and…

High Energy Physics - Theory · Physics 2009-10-28 Damiano Anselmi

We show that there exists a consistent truncation of 11 dimensional supergravity to the 'massless' fields of maximal (N=4) 7 dimensional gauged supergravity. We find the complete expressions for the nonlinear embedding of the 7 dimensional…

High Energy Physics - Theory · Physics 2009-10-31 Horatiu Nastase , Diana Vaman , Peter van Nieuwenhuizen

The plot of allowed p and D values for p-brane solitons in D-dimensional supergravity is the same whether the solitons are extremal or non-extremal. One of the useful tools for relating different points on the plot is vertical dimensional…

High Energy Physics - Theory · Physics 2009-10-07 I. V. Lavrinenko , H. Lu , C. N. Pope , T. A. Tran

A recently proposed correspondence between 4-dimensional N=2 SUSY SU(k) gauge theories on R^4/Z_m and SU(k) Toda-like theories with Z_m parafermionic symmetry is used to construct four-point N=1 super Liouville conformal block, which…

High Energy Physics - Theory · Physics 2011-10-03 A. Belavin , V. Belavin , M. Bershtein

We consider instanton effects in a non-supersymmetric gauge theory obtained by marginal deformations of the N=4 SYM. This gauge theory is expected to be dual to type IIB string theory on the AdS_5 times deformed-S^5 background. From an…

High Energy Physics - Theory · Physics 2009-11-11 Callum Durnford , George Georgiou , Valentin V. Khoze

We classify half-supersymmetric solutions of gauged N=2, D=5 supergravity coupled to an arbitrary number of abelian vector multiplets for which all of the Killing spinors generate null Killing vectors. We show that there are four classes of…

High Energy Physics - Theory · Physics 2009-11-13 Jai Grover , Jan B. Gutowski , Wafic Sabra

We present a new infinite class of non-abelian, 6d supergravities with eight supercharges. These theories not only satisfy all known low-energy consistency conditions, such as being free of anomalies, but also evade the constraints arising…

High Energy Physics - Theory · Physics 2024-07-04 Gregory J. Loges

We derive the non-perturbative corrections to the free energy of the two-matrix model in terms of its algebraic curve. The eigenvalue instantons are associated with the vanishing cycles of the curve. For the (p,q) critical points our…

High Energy Physics - Theory · Physics 2016-11-23 V. Kazakov , I. Kostov

It is shown that certain extremal and next-to-extremal n-point correlators in four-dimensional N=2 superconformal field theories are free. These results hold for any gauge group.

High Energy Physics - Theory · Physics 2009-10-31 B. U. Eden , P. S. Howe , E. Sokatchev , P. C. West

We present an asymptotically flat, spherically symmetric, static, globally regular and horizonless solution of SU$(2)$-gauged $\mathcal{N}=1,d=5$ supergravity. The SU$(2)$ gauge field is that of the BPST instanton. We argue that this…

High Energy Physics - Theory · Physics 2017-08-02 Pablo A. Cano , Tomas Ortin , Pedro F. Ramirez

We investigate oscillating instanton solutions of a self-gravitating scalar field between degenerate vacua. We show that there exist O(4)-symmetric oscillating solutions in a de Sitter background. The geometry of this solution is finite and…

High Energy Physics - Theory · Physics 2013-05-30 Bum-Hoon Lee , Chul H. Lee , Wonwoo Lee , Changheon Oh

We describe three analytic classes of infinitely many AdS_d supersymmetric solutions of massive IIA supergravity, for d = 7, 5, 4. The three classes are related by simple universal maps. For example, the AdS_7 x M_3 solutions (where M_3 is…

High Energy Physics - Theory · Physics 2015-12-22 Fabio Apruzzi , Marco Fazzi , Achilleas Passias , Andrea Rota , Alessandro Tomasiello

We present a large class of new backgrounds that are solutions of type II supergravity with a warped AdS${}_4$ factor, non-trivial axion-dilaton, B-field, and three- and five-form Ramond-Ramond fluxes. We obtain these solutions by applying…

High Energy Physics - Theory · Physics 2016-01-28 Leopoldo A. Pando Zayas , Vincent G. J. Rodgers , Catherine A. Whiting