arXiv subjects

Michele Bourdeau

Publications and source records attributed to Michele Bourdeau.

5 recordsLinked to original sources

arXiv1997

Finite Energy Solutions in Three-Dimensional Heterotic String Theory

We show that a large class of supersymmetric solutions to the low-energy effective field theory of heterotic string theory compactified on a seven torus can have finite energy, which we compute. The mechanism by which these solutions are turned into finite energy solutions is similar to the one occurring in the context of four-dimensional stringy cosmic string solutions. We also describe the solutions in terms of intersecting eleven-dimensional M-branes, M-waves and M-monopoles.

hep-th↗

arXiv1997

Supersymmetric Solutions in Three-Dimensional Heterotic String Theory

We consider the low-energy effective field theory of heterotic string theory compactified on a seven-torus, and we construct electrically charged as well as more general solitonic solutions. These solutions preserve 1/2, 1/4 and 1/8 of N=8, D=3 supersymmetry and have Killing spinors which exist due to cancellation of holonomies. The associated space-time line elements do not exhibit the conical structure that often arises in 2+1 dimensional gravity theories.

hep-th↗

arXiv1995

Supersymmetric Sigma Models on Toric Varieties: A Test Case

In this letter we study supersymmetric sigma models on toric varieties. These manifolds are generalizations of CP^n manifolds. We examine here sigma models, viewed as gauged linear sigma models, on one of the simplest such manifold, the blow-up of P^2_(2,1,1), and determine their properties using the techniques of topological- antitopological fusion. We find that the model contains solitons which become massless at the singular point of the theory where a gauge symmetry remains unbroken.

hep-th↗

arXiv1994

Solvable Models in Two-Dimensional N=2 Theories

N=2 supersymmetric field theories in two dimensions have been extensively studied in the last few years. Many of their properties can be determined along the whole renormalization group flow, like their coupling dependence and soliton spectra. We discuss here several models which can be solved completely, when the number of superfields is taken to be large, by studying their topological-antitopological fusion equations. These models are the CPN model, sigma models on Grassmannian manifolds, and certain perturbed $N=2$ Minimal model.

hep-th↗

arXiv1994

Grassmannian Sigma Models and Topological-Antitopological Fusion

We study the topological-antitopological fusion equations for supersymmetric sigma models on Grassmannian manifolds G(k,N). We find a basis in which the metric becomes diagonal and the $tt^*$ equations become tractable. The solution for the metric of G(k,N) can then be described in terms of the metric for the $CP^{N-1}$ models. The IR expansion helps clarify the picture of the vacua and gives the soliton numbers and masses. We also show that the $tt^*$ equation for G(k,N) in the large N limit is solvable, for any k.

hep-th↗