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Anyons are 2D or 1D quantum particles with intermediate statistics, interpolating between bosons and fermions. We study the ground state of a large number N of 2D anyons, in a scaling limit where the statistics parameter is proportional to…

Mathematical Physics · Physics 2015-09-18 Douglas Lundholm , Nicolas Rougerie

We investigate the differential geometry of the moduli space of instantons on S^3 x S^1. Extending previous results, we show that a sigma-model with this target space can be expected to possess a large N=4 superconformal symmetry,…

High Energy Physics - Theory · Physics 2024-12-23 Edward Witten

We present extremal stationary solutions that generalize the Israel-Wilson-Perjes class for the d+3-dimensional low-energy limit of heterotic string theory with n >= d+1 U(1) gauge fields compactified on a d-torus. A rotating axisymmetric…

High Energy Physics - Theory · Physics 2010-11-19 Alfredo Herrera-Aguilar , Oleg Kechkin

We obtain extremal stationary solutions that generalize the Israel-Wilson-Perj\'es class for the low-energy limit of heterotic string theory with n>=3 U(1) gauge fields toroidally compactified from five to three dimensions. A dyonic…

High Energy Physics - Theory · Physics 2010-11-19 Alfredo Herrera-Aguilar , Oleg Kechkin

We consider SO(4) x SO(6) invariant type IIB string solution describing D3-branes superposed with D-instantons homogeneously distributed over D3-brane world-volume. In the near D3-brane horizon limit this background interpolates between…

High Energy Physics - Theory · Physics 2009-09-17 Hong Liu , A. A. Tseytlin

We investigate finite energy solutions of Yang-Mills--Chern-Simons systems in odd spacetime dimensions, d=2n+1, with n>2. This can be carried out systematically for all n, but the cases n=3,4 corresponding to a 7,8 dimensional spacetime are…

High Energy Physics - Theory · Physics 2015-06-04 Eugen Radu , D. H. Tchrakian

The five-dimensional $\mathcal{N}=1$ supersymmetric gauge theory with Sp(N) gauge group and SO(2N_f) flavor symmetry describes the physics on N D4-branes with $N_f$ D8-branes on top of a single O8 orientifold plane in Type I' theory. This…

High Energy Physics - Theory · Physics 2012-11-02 Hee-Cheol Kim , Sung-Soo Kim , Kimyeong Lee

We study the Hamiltonian index of $\frac{1}{16}$-BPS operators in 4d $\mathcal{N}=4$ U(N) super Yang-Mills (SYM) theory numerically for $N=2\,,\dots,10$. We show that the large-charge asymptotics agree with analytic results in the…

High Energy Physics - Theory · Physics 2020-09-28 Sameer Murthy

We consider Euclidean SU(N) Yang-Mills theory on the space GxR, where G is a compact semisimple Lie group, and introduce first-order BPS-type equations which imply the full Yang-Mills equations. For gauge fields invariant under the adjoint…

High Energy Physics - Theory · Physics 2008-12-18 Tatiana A. Ivanova , Olaf Lechtenfeld

Yang-Mills instantons are solitonic particles in d=4+1 dimensional gauge theories. We construct and analyse the quantum Hall states that arise when these particles are restricted to the lowest Landau level. We describe the ground state…

High Energy Physics - Theory · Physics 2018-05-09 Alec Barns-Graham , Nick Dorey , Nakarin Lohitsiri , David Tong , Carl Turner

In the localization of 5-dimensional N = 1 super-Yang-Mills, contact-instantons arise as non-perturbative contributions. In this note, we revisit such configurations and discuss their generalizations. We propose for contact-instantons a…

High Energy Physics - Theory · Physics 2015-06-02 Yiwen Pan

We construct static solutions to a SU(2) Yang--Mills (YM) dilaton model in 4+1 dimensions subject to bi-azimuthal symmetry. The YM sector of the model consists of the usual YM term and the next higher order term of the YM hierarchy, which…

High Energy Physics - Theory · Physics 2008-11-26 Eugen Radu , Ya. Shnir , D. H. Tchrakian

Certain static soliton configurations of gauge fields in 4+1 dimensions correspond to the instanton in 4-Euclidean dimensions ``turned on its side,'' becoming a monopole in 4+1. The periodic instanton solution can be used with the method of…

High Energy Physics - Theory · Physics 2009-10-31 Christopher T. Hill , Pierre Ramond

We propose that in the BMN limit the effective interaction vertex in the 1/2 BPS sector of N=4 SYM is given by the Das-Jevicki-Sakita Hamiltonian. We check for some examples that it reproduces the 1/N correction to the correlation functions…

High Energy Physics - Theory · Physics 2009-11-11 Kazumi Okuyama

A self-consistent ansatz is presented for a four-dimensional euclidean solution (instanton) in the vacuum sector of constrained SU(2) Yang-Mills-Higgs theory.

High Energy Physics - Phenomenology · Physics 2015-06-25 F. R. Klinkhamer , J. Weller

Our goal is to discover possible new 4-dimensional euclidean solutions (instantons) in fundamental SU(2) Yang-Mills-Higgs theory, with a constraint added to prevent collapse of the scale. We show that, most likely, there exists one…

High Energy Physics - Phenomenology · Physics 2009-10-22 F. R. Klinkhamer

The conformal symmetry on the instanton moduli space is discussed using the ADHM construction, where a viewpoint of "homogeneous coordinates" for both the spacetime and the moduli space turns out to be useful. It is shown that the conformal…

High Energy Physics - Theory · Physics 2009-11-10 Yu Tian

Using the BPS-protected higher derivative $R^4$-term as an exactly solvable example, we analyze which instanton corrections are generated by a one-loop Schwinger integral over the light towers of states that arise in infinite distance…

High Energy Physics - Theory · Physics 2026-05-14 Manuel Artime , Ralph Blumenhagen , Panagiotis Leivadaros

I explain how to construct noncommutative BPS configurations in four and lower dimensions by solving linear matrix equations. Examples are instantons in D=4 Yang-Mills, monopoles in D=3 Yang-Mills-Higgs, and (moving) solitons in D=2+1…

High Energy Physics - Theory · Physics 2009-11-10 Olaf Lechtenfeld

We consider the multi-instanton collective coordinate integration measure in N=2 supersymmetric SU(N) gauge theory with N_F fundamental hypermultiplets. In the large-N limit, at the superconformal point where N_F=2N and all VEVs are turned…

High Energy Physics - Theory · Physics 2009-10-31 Timothy J. Hollowood , Valentin V. Khoze , Michael P. Mattis