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.
Rational Theories of 2D Gravity from the Two-Matrix Model
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The correspondence claimed by M. Douglas, between the multicritical regimes of the two-matrix model and 2D gravity coupled to (p,q) rational matter field, is worked out explicitly. We found the minimal (p,q) multicritical potentials U(X) and V(Y) which are polynomials of degree p and q, correspondingly. The loop averages W(X) and \tilde W(Y) are shown to satisfy the Heisenberg relations {W,X} =1 and {\tilde W,Y}=1 and essentially coincide with the canonical momenta P and Q. The operators X and Y create the two kinds of boundaries in the (p,q) model related by the duality (p,q) - (q,p). Finally, we present a closed expression for the two two-loop correlators and interpret its scaling limit.
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Negative-tension ZZ-branes are required by resurgence to build complete transseries for minimal-string free energies, with analytic Stokes data and extensions to JT gravity and other string models.
Near a cusp in the LLM droplet, the geometry acquires a universal ISO(1,3)×SO(5) symmetric form with a naked singularity that traps both massless and massive particles, admitting analytic massless trajectories and hinting at integrability.
citing papers explorer
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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.
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All the D-Branes of Resurgence
Negative-tension ZZ-branes are required by resurgence to build complete transseries for minimal-string free energies, with analytic Stokes data and extensions to JT gravity and other string models.
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Critical Lin-Lunin-Maldacena geometries
Near a cusp in the LLM droplet, the geometry acquires a universal ISO(1,3)×SO(5) symmetric form with a naked singularity that traps both massless and massive particles, admitting analytic massless trajectories and hinting at integrability.
- $c=1$ strings as a matrix integral