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The Holomorphic Tension of Vortices

2004/11/30 by Stefano Bolognesi
Physics and Astronomy · #Black Holes and Theoretical Physics #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/1126-6708/2005/01/044

published as JHEP 0501:044,2005 · 32 pages, 2 figures. v2: typos corrected and references added. v3: Minor changes, accepted on JHEP. v4: Added a note on the non-BPS correction in the strong coupling regime

openalex publication_date 2005/01/25 · arxiv created 2005/03/07 · arxiv updated 2010/05/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

We study the tension of vortices in N=2 SQCD broken to N=1 by a superpotential W(Φ), in color-flavor locked vacua. The tension can be written as T = TBPS + Tnon BPS. The BPS tension is equal to 4π|\T| where we call \T the holomorphic tension. This is directly related to the central charge of the supersymmetry algebra. Using the tools of the Cachazo-Douglas-Seiberg-Witten solution we compute the holomorphic tension as a holomorphic function of the couplings, the mass and the dynamical scale: \T = √(W'2+f). A first approximation is given using the generalized Konishi anomaly in the semiclassical limit. The full quantum corrections are computed in the strong coupling regime using the factorization equations that relate the N=2 curve to the N=1 curve. Finally we study the limit in which the non-BPS contribution can be neglected because small with respect to the BPS one. In the case of linear superpotential the non-BPS contribution vanishes exactly and the holomorphic tension gets no quantum corrections.

Citations