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Warped resolved La,b,c cones

Mirjam Cvetič1 and J. F. Vázquez-Poritz2

  • 1Department of Physics & Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396, USA
  • 2George P. & Cynthia W. Mitchell Institute for Fundamental Physics, Texas A&M University, College Station, Texas 77843-4242, USA

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Phys. Rev. D 77, 126003 – Published 3 June, 2008

DOI: https://doi.org/10.1103/PhysRevD.77.126003

Abstract

We construct supergravity solutions describing a stack of D3-branes localized at a point on a blown-up cycle of a resolved La,b,c cone. The geometry flows from AdS5×La,b,c to AdS5×S5/Zk. The corresponding quiver gauge theory undergoes a renormalization group flow between two superconformal fixed points, which leads to semi-infinite chains of flows between the various La,b,c fixed points. The general system is described by a triplet of Heun equations, which can each be solved by an expansion with a three-term recursion relation, though there are closed-form solutions for certain cases. This enables us to read off the operators that acquire nonzero vacuum expectation values as the quiver gauge theory flows away from a fixed point.

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Phys. Rev. D 77, 126003– Published 3 June, 2008
  • Received 26 February 2008

© 2008 American Physical Society

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