Hyperkahler Singularities in Superstrings Compactification and 2d N=4 Conformal Field Theory

Abstract

We study the singularities of the Higgs branch of supersymmetric U(1)^r gauge theories with eight supercharges. We derive new solutions for the moduli space of vacua preserving manifestly the eight supercharges by using a geometric realization of the SU(2)_R symmetry and a separation procedure of the gauge and SU(2)_R charges, which allow us to put the hypermultiplet vacua in a form depending on a parameter $\gamma$. For $\gamma =1$, we obtain new models which flow in the infrared to 2d N=(4,4) conformal models and we show that the classical moduli spaces are given by intersecting cotangent weighted complex projective spaces containing the small instanton singularity, discussed in [17], as a leading special case. We also make comments regarding the d$2d N=4 conformal Liouville description of the Higgs branch throat by following the analysis of [18]. Other features are also discussed.

46 pages, latex, no figures

References in corpus (3)

• RR Flux on Calabi-Yau and Partial Supersymmetry Breaking
• On HyperKahler Singularities
• Hypermultiplet Moduli Space and Three Dimensional Gauge Theories

Cited by in corpus (12)

• Manifolds of G_2 Holonomy from N=4 Sigma Model
• F-theory Duals of M-theory on G2 Manifolds from Mirror Symmetry
• Explicit Derivation of Yang-Mills Self-Dual Solutions on non-Commutative Harmonic Space
• Algebraic Geometry Realization of Quantum Hall Soliton
• Topological string in harmonic space and correlation functions in $S^3$ stringy cosmology
• Mirror Symmetry and Landau Ginzburg Calabi-Yau Superpotentials in F-theory Compactifications
• On Non Commutative Calabi-Yau Hypersurfaces
• NC Calabi-Yau Manifolds in Toric Varieties with NC Torus fibration
• Toric Varieties with NC Toric Actions: NC Type IIA Geometry
• On Non-Commutative Orbifolds of K3 Surfaces
• M-theory on G_2 manifolds and the method of (p,q) brane webs
• On Geometric Transitions in String Compactifications