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We study BPS string-like solutions in the 3+1 dimensional gauged CP(1) non-linear sigma model. The same analysis can be applied to study instantons in 2 euclidean dimensions. We use the moduli matrix approach to construct analytically the…

High Energy Physics - Theory · Physics 2012-04-17 Muneto Nitta , Walter Vinci

We present new SO(4)-invariant and non-supersymmetric instanton solutions for the conformally coupled m^2=-2 and massive m^2=+4 (pseudo)scalars arising from a consistent truncation of 11-dimensional supergravity over AdS_4 x S^7/Z_k when…

High Energy Physics - Theory · Physics 2023-01-20 M. Naghdi

We calculate the partition functions of supersymmetric gauge theories on S^5, which acquire non-perturbative contributions from instanton loops wrapping its Hopf fiber. The instantons on the CP^2 base equivariantly localize to 3 fixed…

High Energy Physics - Theory · Physics 2012-11-02 Hee-Cheol Kim , Joonho Kim , Seok Kim

For gauge groups $U(1)$ and $SO(3)$ we classify invariant $G_2$-instantons for homogeneous coclosed $G_2$-structures on Aloff-Wallach spaces $X_{k,l}$. As a consequence, we give examples where $G_2$-instantons can be used to distinguish…

Differential Geometry · Mathematics 2019-04-17 Gavin Ball , Goncalo Oliveira

The Seiberg-Witten solution of N=2 supersymmetric SU(2) gauge theory may be viewed as a prediction for the infinite family of constants F_n measuring the n-instanton contribution to the prepotential F. Here we examine the instanton physics…

High Energy Physics - Theory · Physics 2016-08-24 N. Dorey , V. V. Khoze , M. P. Mattis

We study the Standard Model with gauged $\mathbb Z_{N=2,3,6}^{(1)}$ subgroups of its $\mathbb Z_6^{(1)}$ 1-form global symmetry, making the gauge group $SU(3) \times SU(2)\times U(1) \over \mathbb Z_N$. We show that, on a finite $\mathbb…

High Energy Physics - Theory · Physics 2022-01-05 Mohamed M. Anber , Erich Poppitz

In gauge theories with continuous groups there exist classical solutions whose energy vanishes in the thermodynamic limit (in any dimension). The existence of these super-instantons is intimately related to the fact that even at short…

High Energy Physics - Lattice · Physics 2009-10-22 A. Patrascioiou , E. Seiler

The effects of instantons close to the cut-off is studied in four dimensional SU(2) gauge theory with higher order derivative terms in the action. It is found in the framework of the dilute instanton gas approximation that the convergence…

High Energy Physics - Theory · Physics 2007-05-23 Vincenzo Branchina , Janos Polonyi

We further discuss the N=2 superinstantons in SU(2) gauge theory, obtained from the general self-dual solutions of topological charge n constructed by Atiyah, Drinfeld, Hitchin and Manin (ADHM). We realize the N=2 supersymmetry algebra as…

High Energy Physics - Theory · Physics 2016-08-24 N. Dorey , V. V. Khoze , M. Mattis

Through techniques afforded by $C^*$-algebras and Hilbert modules, we study the topology of spaces which parametrize families of instanton gauge fields on noncommutative Euclidean four-spheres $S^4_\sigma$. By deforming the ADHM…

Mathematical Physics · Physics 2013-05-10 Simon Brain

We show that there exist finite energy, non-singular instanton solutions for five-dimensional theories with broken gauge symmetry. The soliton is supported against collapse by a non-zero electric charge. The low-energy dynamics of these…

High Energy Physics - Theory · Physics 2009-10-31 Neil. D. Lambert , David Tong

We study, using ADHM construction, instanton effects in an ${\CN}=2$ superconformal $Sp(N)$ gauge theory, arising as effective field theory on a system of $N$ D-3-branes near an orientifold 7-plane and 8 D-7-branes in type I' string theory.…

High Energy Physics - Theory · Physics 2009-02-23 E. Gava , K. S. Narain , M. H. Sarmadi

We derive a BPS-type bound for four-dimensional Born-Infeld action with constant B field background. The supersymmetric configuration saturates this bound and is regarded as an analog of instanton in U(1) gauge theory. Furthermore, we find…

High Energy Physics - Theory · Physics 2009-10-31 Seiji Terashima

We study instanton-corrected renormalization group flow in the two dimensional sigma models and four dimensional gauge theory. In two dimensions we do that by replacing the non-linear supersymmetric ${\IC\IP}^{N-1}$ model by the gauged…

High Energy Physics - Theory · Physics 2016-11-23 A. Losev , N. Nekrasov , S. Shatashvili

We study a semi-local Abelian Higgs sigma model with $\mathbb{CP}^2$-valued scalar fields coupled to gravity. We establish the conditions needed for self-duality in this system and obtain cosmic strings, both of self-dual character and out…

High Energy Physics - Theory · Physics 2020-12-30 A. Alonso-Izquierdo , W. García Fuertes , J. Mateos Guilarte

Using D3/D(-1) brane set-up in type IIB string theory we introduce gauge-stringy instantons in N=2 U(N) supersymmetry theories with one matter multiplet in symmetric representation. In addition to the gauge and stringy moduli there exist…

High Energy Physics - Theory · Physics 2015-06-16 Hossein Ghorbani

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 investigate supergravity instantons in Euclidean $\rm AdS_5\times S^5/\mathbb{Z}_k$. These solutions are expected to be dual to instantons of $\mathcal{N}=2$ quiver gauge theories. On the supergravity side the (extremal) instanton…

High Energy Physics - Theory · Physics 2018-04-18 Daniele Ruggeri , Mario Trigiante , Thomas Van Riet

All five-dimensional non-abelian gauge theories have a $U(1)_I$ global symmetry associated with instantonic particles. We describe an obstruction to coupling $U(1)_I$ to a classical background gauge field that occurs whenever the theory has…

High Energy Physics - Theory · Physics 2022-02-03 Pietro Benetti Genolini , Luigi Tizzano

The monopole equations in the dual abelian theory of the N=2 gauge-theory, recently proposed by Witten as a new tool to study topological invariants, are shown to be the simplest elements in a class of instanton equations that follow from…

High Energy Physics - Theory · Physics 2009-10-28 Damiano Anselmi , Pietro Fre'