Low-energy dynamics of supersymmetric solitons

  title={Low-energy dynamics of supersymmetric solitons},
  author={Jerome P. Gauntlett},
  journal={Nuclear Physics},
In bosonic field theories admitting Bogomol'nyi type bounds the low-energy scattering of k solitons can be approximated as geodesic motion on the moduli space of k static solutions. In this paper we consider the analogous issue within the context of supersymmetric field theories. We focus our study on a class of N = 2 non-linear sigma models in d = 2 + 1 based on an arbitrary Kahler target manifold and their associated soliton or “lump” solutions. Using a collective coordinate expansion, we… Expand
Supersymmetric soliton σ-models from non-Lorentzian field theories
Recently, a class of non-Lorentzian supersymmetric Lagrangian field theories was considered, in some cases describing M-theory brane configurations, but more generally found as fixed points ofExpand
Supersymmetric Monopole Dynamics
We study the supersymmetric quantum mechanics of monopoles in bosonic, N = 2 and N = 4 supersymmetric Yang-Mills-Higgs theory, with particular emphasis on monopoles of charge–(1, 1) in a theory withExpand
Supercharges, Quantum States and Angular Momentum for N=4 Supersymmetric Monopoles
Abstract We revisit the moduli space approximation to the quantum mechanics of monopoles in N = 4 supersymmetric Yang–Mills–Higgs theory with maximal symmetry breaking. Starting with the observationExpand
Supersymmetric quantum mechanics of magnetic monopoles: A case study
Abstract We study, in detail, the supersymmetric quantum mechanics of charge- ( 1 , 1 ) monopoles in N = 2 supersymmetric Yang–Mills–Higgs theory with gauge group SU ( 3 ) spontaneously broken to U (Expand
Low-energy dynamics of N = 2 supersymmetric monopoles
Abstract It is argued that the low-energy dynamics of k-monopoles in N = 2 supersymmetric Yang-Mills theory are determined by an N = 4 supersymmetric quantum mechanics based on the moduli space of kExpand
Unity of superstring dualities
Abstract The effective action for type II string theory compactified on a six-torus is N = 8 supergravity, which is known to have an E7 duality symmetry. We show that this is broken by quantumExpand
Strong-weak coupling duality in three dimensional string theory
Abstract Following an old result of Marcus and Schwarz we argue that in the heterotic string theory compactified on a seven dimensional torus, the target space duality group O(7,23;Z) and theExpand
Dyon-monopole bound states, self-dual harmonic forms on the multi-monopole moduli space, and SL (2,Z) invariance in string theory
Abstract Existence of SL(2,Z) duality in toroidally compactified heterotic string theory (or in the N = 4 supersymmetric gauge theories), that includes the strong-weak coupling dualityExpand
Nahm transform and moduli spaces of CP**N models on the torus
Abstract There is a Nahm transform for 2-dimensional gauge fields which establishes a one-to-one correspondence between the orbit space of U(N) gauge fields with topological charge k defined on aExpand
Stationary Configurations and Geodesic Description of Supersymmetric Black Holes
This thesis contains a detailed study of various properties of supersymmetric black holes. In chapter I an overview over some of the fascinating aspects of black hole physics is provided. InExpand


Low-energy scattering of solitons in the CP1 model
Abstract The interactions of slowly moving lump-like solitons in the (2 + 1)-dimensional CP 1 model are investigated, using an approximation in which the evolution is given by geodesic motion on theExpand
Massive superparticle in d=2+1 and sigma model solitons
The authors show that the gauge-fixed N=2, d=2+1 massive superparticle has an N=4 worldline supersymmetry that is partially broken down to N=2 by the central charge in the supersymmetry algebra. TheExpand
Classical and quantum dynamics of BPS monopoles
Abstract The dynamics of two non-relativistic BPS monopoles is described using the Atiyah-Hitchin metric on the space of collective coordinates of the monopoles. M . Classical orbits correspond toExpand
Supersymmetry and Kahler Manifolds
Abstract We give the supersymmetric extension of non-linear models with scalar fields taking values in a complex Kahler manifold. The supersymmetry is simple for four-dimensional Minkowski space,Expand
Vortex string motion in the abelian Higgs model
Abstract We discuss the time independent interactions of gauged U(1) cosmic strings. We show that at low energies this is governed by a geodesic motion on a 2 n -dimensional moduli space. AlthoughExpand
Quantum scattering of BPS monopoles at low energy
Abstract The quantum scattering of non-relativistic BPS monopoles is investigated by supposing that the hamiltonian is proportional to the covariant laplacian on the space of collective coordinatesExpand
The Geometry and Dynamics of Magnetic Monopoles
Systems governed by non-linear differential equations are of fundamental importance in all branches of science, but our understanding of them is still extremely limited. In this book a particularExpand
Supersymmetry algebras that include topological charges
Abstract We show that in supersymmetric theories with solitons, the usual supersymmetry algebra is not valid; the algebra is modified to include the topological quantum numbers as central charges.Expand
Sigma model solitons and their moduli space metrics
We discuss the supersymmetric σ model and its soliton solutions in 2+1 dimensions. We classify supersymmetric maps and derive Bogomolny bounds. We also give the modified superalgebra and describe theExpand
Geometrical structure and ultraviolet finiteness in the supersymmetric σ-model
A complete geometrical classification of supersymmetric σ-models is given. Extended supersymmetry requires covariantly constant complex structures, and Kahler and hyperkahler manifolds play a specialExpand