In a toy qubit model of quarks, BRST cohomology designates baryons as fortuitous and mesons as monotone, with the former displaying super-exponential complexity and the latter power-law complexity in the Veneziano limit.
Minisuperspace Quantization of "Bubbling AdS" and Free Fermion Droplets
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abstract
We quantize the space of 1/2 BPS configurations of Type IIB SUGRA found by Lin, Lunin and Maldacena (hep-th/0409174), directly in supergravity. We use the Crnkovic-Witten-Zuckerman covariant quantization method to write down the expression for the symplectic structure on this entire space of solutions. We find the symplectic form explicitly around AdS_5 x S^5 and obtain a U(1) Kac-Moody algebra, in precise agreement with the quantization of a system of N free fermions in a harmonic oscillator potential, as expected from AdS/CFT. As a cross check, we also perform the quantization around AdS_5 x S^5 by another method, using the known spectrum of physical perturbations around this background and find precise agreement with our previous calculation.
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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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Fortuity and Complexity in a Simple Quark Model
In a toy qubit model of quarks, BRST cohomology designates baryons as fortuitous and mesons as monotone, with the former displaying super-exponential complexity and the latter power-law complexity in the Veneziano limit.
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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.