Holography, Singularities on Orbifolds and 4D N=2 SQCD

Abstract

Type II string theory compactified on a Calabi-Yau manifold, with a singularity modeled by a hypersurface in an orbifold, is considered. In the limit of vanishing string coupling, one expects a non gravitational theory concentrated at the singularity. It is proposed that this theory is holographicly dual to a family of ``non-critical'' superstring vacua, generalizing a previous proposal for hypersurfaces in flat space. It is argued that a class of such singularities is relevant for the study of non-trivial IR fixed points that appear in the moduli space of four-dimensional N=2 SQCD: SU(N_c) gauge theory with matter in the fundamental representation. This includes the origin in the moduli space of the SU(N_c) gauge theory with N_f=2N_c fundamentals. The 4D IR fixed points are studied using the anti-holographic description and the results agree with information available from gauge theory.

33 pages (Latex)

References in corpus (5)

• Large N Field Theories, String Theory and Gravity
• AdS/CFT Correspondence and Symmetry Breaking
• Holography for Non-Critical Superstrings
• Comments on Double Scaled Little String Theory
• BPS Structure of Argyres-Douglas Superconformal Theories

Cited by in corpus (14)

• Modular Bootstrap for Boundary N=2 Liouville Theory
• SL(2,R)/U(1) Supercoset and Elliptic Genera of Non-compact Calabi-Yau Manifolds
• Modular Invariance in Superstring on Calabi-Yau n-fold with A-D-E Singularity
• Near Hagedorn Dynamics of NS Fivebranes, or A New Universality Class of Coiled Strings
• Conifold Type Singularities, N=2 Liouville and SL(2;R)/U(1) Theories
• D-Branes on ALE Spaces and the ADE Classification of Conformal Field Theories
• D-branes in Singular Calabi-Yau n-fold and N=2 Liouville Theory
• Branches of N=1 Vacua and Argyres-Douglas Points
• Positive Energy Unitary Irreducible Representations of the Superalgebras osp(1|2n,R)
• Supercoset CFT's for String Theories on Non-compact Special Holonomy Manifolds
• Characters of the Positive Energy UIRs of D=4 Conformal Supersymmetry
• Strebel Differentials With Integral Lengths And Argyres-Douglas Singularities
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Non-Critical String Duals of N=1 Quiver Theories