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As a first step towards studying vector bundle moduli in realistic heterotic compactifications, we identify all holomorphic rational curves in a Calabi-Yau threefold X with Z_3 x Z_3 Wilson lines. Computing the homology, we find that…

High Energy Physics - Theory · Physics 2009-12-07 Volker Braun , Maximilian Kreuzer , Burt A. Ovrut , Emanuel Scheidegger

Calorons (periodic instantons) interpolate between monopoles and instantons, and their holonomy gives approximate Skyrmion configurations. We show that, for each caloron charge N \leq 4, there exists a one-parameter family of calorons which…

High Energy Physics - Theory · Physics 2009-11-10 R. S. Ward

Using the theory of noncommutative geometry in a braided monoidal category, we improve upon a previous construction of noncommutative families of instantons of arbitrary charge on the deformed sphere S^4_\theta. We formulate a notion of…

Quantum Algebra · Mathematics 2013-06-11 Simon Brain , Giovanni Landi

We present a novel method for defining the topological charge contained within distinct topological objects in the nontrivial ground-state fields of SU(N) lattice gauge theory. Such an analysis has been called for by the growing number of…

High Energy Physics - Lattice · Physics 2025-04-04 Jackson A. Mickley , Waseem Kamleh , Derek B. Leinweber

We show that the moduli space of the $(2,0)$ and little-string theories compactified on $T^3$ with R-symmetry twists is equal to the moduli space of U(1) instantons on a non-commutative $T^4$. The moduli space of $U(q)$ instantons on a…

High Energy Physics - Theory · Physics 2007-05-23 Yeuk-Kwan E. Cheung , Ori J. Ganor , Morten Krogh , Andrei Yu. Mikhailov

A systematic approach to the description of gauge invariant charges is presented and applied to the construction of both the static colour charge configuration in QCD and the monopole solution in pure SU(2). The gauge invariant non-abelian…

High Energy Physics - Theory · Physics 2009-09-29 R Horan , A Khvedelidze , M Lavelle , D McMullan

We calculate instanton corrections to three dimensional gauge theories with N=4 and N=8 supersymmetry and SU(n) gauge groups. The N=4 results give new information about the moduli space of n BPS SU(2) monopoles, including the leading order…

High Energy Physics - Theory · Physics 2016-08-25 Christophe Fraser , David Tong

Recent work of Harland shows that the $SO(3)$-symmetric, dimensionally-reduced, charge-$N$ self-dual Yang--Mills calorons on the hyperbolic space $ H^3\times S^1$ may be obtained through constructing $N$-vortex solutions of an Abelian Higgs…

Mathematical Physics · Physics 2017-09-14 Lesley Sibner , Robert Sibner , Yisong Yang

The progress on calorons (finite temperature instantons) is sketched. In particular there is some interest for confining temperatures, where the holonomy is non-trivial.

High Energy Physics - Phenomenology · Physics 2009-06-25 Pierre van Baal

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 study how instantons arise in the low energy effective theory of the SU(2) Yang-Mills theory in the context of the non-linear sigma model recently propose by Faddeev and Niemi. We find a simple relation between the instanton number $\nu$…

High Energy Physics - Theory · Physics 2009-10-31 Toyohiro Tsurumaru , Izumi Tsutsui , Akira Fujii

We explore quantum states of instanton solitons in five dimensional noncommutative Yang-Mills theories. We start with maximally supersymmetric U(N) theory compactified on a circle S^1, and derive the low energy dynamics of instanton…

High Energy Physics - Theory · Physics 2010-11-19 Kimyeong Lee , Piljin Yi

We discuss the contribution of ADHM multi-instantons to the higher-derivative terms in the gradient expansion along the Coulomb branch of N=2 and N=4 supersymmetric SU(2) gauge theories. In particular, using simple scaling arguments, we…

High Energy Physics - Theory · Physics 2009-10-30 N. Dorey , V. V. Khoze , M. P. Mattis , M. J. Slater , W. A. Weir

There exists a recursive algorithm for constructing BPST-type multi-instantons on commutative R^4. When deformed noncommutatively, however, it becomes difficult to write down non-singular instanton configurations with topological charge…

High Energy Physics - Theory · Physics 2009-11-10 Tatiana A. Ivanova , Olaf Lechtenfeld , Helge Mueller-Ebhardt

Gluon two- and three-point Green Functions computed in Landau gauge from the lattice show the existence of power corrections to the purely perturbative expressions, that can be explained through an Operator Product Expansion as the…

High Energy Physics - Phenomenology · Physics 2016-08-16 Ph. Boucaud , F. De Soto , A. Donini , J. P. Leroy , A. Le Yaouanc , J. Micheli , H. Moutarde , O. Pène , J. Rodríguez-Quintero

Using smearing of equilibrium lattice fields generated at finite temperature in the confined phase of SU(2) lattice gauge theory, we have investigated the emerging topological objects (clusters of topological charge). Analysing their…

High Energy Physics - Lattice · Physics 2009-11-10 E. -M. Ilgenfritz , B. V. Martemyanov , M. Müller-Preussker , A. I. Veselov

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 present sixteen-component values "sedeons", generating associative noncommutative space-time algebra. The generalized second-order and first-order equations of relativistic quantum mechanics based on sedeonic wave function and sedeonic…

Mathematical Physics · Physics 2015-02-27 Victor L. Mironov , Sergey V. Mironov

Nontrivial topological structures of non-Abelian gauge fields were discovered in the 1970's. Instanton solutions, describing vacuum tunneling through topological barriers, have fermionic zero modes which are at the origin of $^\prime$t…

High Energy Physics - Phenomenology · Physics 2022-03-31 Edward Shuryak , Ismail Zahed

We study the low-energy effective theory in N=2 SU(Nc) supersymmetric QCD with Nf =< 2Nc fundamental hypermultiplets in the Coulomb branch by microscopic and exact approaches. We calculate the one-instanton correction to the modulus u=< 1/2…

High Energy Physics - Theory · Physics 2009-10-30 Katsushi Ito , Naoki Sasakura