Moduli Space of Non-Abelian Vortices

DOI10.1103/PHYSREVLETT.96.161601zbMATH Open1228.58006arXivhep-th/0511088WikidataQ83375303 ScholiaQ83375303MaRDI QIDQ3107891

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Publication date: 26 December 2011

Published in: (Search for Journal in Brave)

Abstract: We completely determine the moduli space M_{N,k} of k-vortices in U(N) gauge theory with N Higgs fields in the fundamental representation. Its open subset for separated vortices is found as the symmetric product (C x CP^{N-1})^k / S_k. Orbifold singularities of this space correspond to coincident vortices and are resolved resulting in a smooth moduli manifold. Relation to Kahler quotient construction is discussed.

Full work available at URL: https://arxiv.org/abs/hep-th/0511088

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