Exact solution of the seven-vertex model on dynamical lattice via 7vMM matrix model, giving phase diagram in cosmological and temperature couplings and non-algebraic spectral curve in Jacobi theta functions.
Thermal flow in the gravitational O(n) model
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abstract
We study the massless flow from the critical point (dilute loops) to the low-temperature phase (dense loops) of the O(n) loop gas model when the model is coupled to 2D gravity. The flow is generated by the gravitationally dressed thermal operator \Phi_{1,3} coupled to the renormalized loop tension \lambda ~ T-T_c. We find that the susceptibility as a function of the thermal coupling \lambda and the cosmological constant \mu satisfies a simple transcendental equation.
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Proposes complex matrix models for BPS correlators in N=4 SYM, relating eigenvalue distributions to LLM droplet shapes and enabling computations of one-point functions and three-point correlators via reductions to known models.
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Exact solution of the Seven-Vertex Model on a dynamical lattice
Exact solution of the seven-vertex model on dynamical lattice via 7vMM matrix model, giving phase diagram in cosmological and temperature couplings and non-algebraic spectral curve in Jacobi theta functions.
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(Un)solvable Matrix Models for BPS Correlators
Proposes complex matrix models for BPS correlators in N=4 SYM, relating eigenvalue distributions to LLM droplet shapes and enabling computations of one-point functions and three-point correlators via reductions to known models.