Phases in WLZZ Matrix Models

Abstract

We discuss the space of solutions to the Ward identities associated with the WLZZ models. We mostly concentrate on the case of these models described by a two-matrix model with the cubic potential in one of the matrices. We study how this space of solutions can be described by the freedom in choosing integration contours in the matrix integral.

15 pages, LaTeX

References in corpus (40)

• Matrix Models, Topological Strings, and Supersymmetric Gauge Theories
• On Geometry and Matrix Models
• Complete Set of Cut-and-Join Operators in Hurwitz-Kontsevich Theory
• Partition Functions of Matrix Models as the First Special Functions of String Theory I. Finite Size Hermitean 1-Matrix Model
• The affine Yangian of ${\mathfrak{gl}}_1$ revisited
• W-symmetry, topological vertex and affine Yangian
• Instantons and Merons in Matrix Models
• On the Hall algebra of an elliptic curve, I
• Generation of Matrix Models by W-operators
• On KP-integrable Hurwitz functions
• BGWM as Second Constituent of Complex Matrix Model
• On the complete perturbative solution of one-matrix models
• Correlators in tensor models from character calculus
• Ward identities and combinatorics of rainbow tensor models
• DV and WDVV
• M-Theory of Matrix Models
• Unitary Integrals and Related Matrix Models
• Superintegrability for ($\beta$-deformed) partition function hierarchies with $W$-representations
• Superintegrability summary
• Cut-and-Join operator representation for Kontsevich-Witten tau-function
• Finite type modules and Bethe Ansatz for quantum toroidal gl(1)
• Cut-and-join description of generalized Brezin-Gross-Witten model
• Sum rules for characters from character-preservation property of matrix models
• Matrix Models vs. Matrix Integrals
• On KP-integrable skew Hurwitz $\tau$-functions and their $\beta$-deformations
• Interpolating Matrix Models for WLZZ series
• Orbifolds and Exact Solutions of Strongly-Coupled Matrix Models
• Many-body integrable systems implied by WLZZ models
• New Insights into Superintegrability from Unitary Matrix Models
• Non-Abelian W-representation for GKM
• Can Centauros or Chirons be the first observations of evaporating mini black holes?
• $(q,t)$-deformed (skew) Hurwitz $\tau$-functions
• Commutative families in DIM algebra, integrable many-body systems and $q,t$ matrix models
• Spectral curves and $W$-representations of matrix models
• Virasoro versus superintegrability. Gaussian Hermitian model
• Two $\beta$-ensemble realization of $\beta$-deformed WLZZ models
• $W_{1+\infty }$ and $\tilde{W}$ algebras, and Ward identities
• N=1 SUSY inspired Whitham prepotentials and WDVV
• Generalized $\tilde{W}$ algebras
• $\beta$-WLZZ models from $\beta$-ensemble integrals directly

Cited by in corpus (1)

• Towards mixed phase correlators in monomial matrix models