Cascade of Gregory-Laflamme Transitions and U(1) Breakdown in Super Yang-Mills
Masanori Hanada, Tatsuma Nishioka
TL;DR
This paper explores a sequence of Gregory-Laflamme phase transitions in black p-branes on a torus and links these to U(1) symmetry breaking in super Yang-Mills theory via AdS/CFT, supported by Monte Carlo data.
Contribution
It introduces the concept of a cascade of Gregory-Laflamme transitions and connects these gravitational phenomena to symmetry breaking in super Yang-Mills through holography.
Findings
Evidence of a cascade of Gregory-Laflamme transitions.
Connection between gravitational transitions and U(1) symmetry breakdown.
Agreement with recent Monte Carlo simulations.
Abstract
In this paper we consider black p-branes on square torus. We find an indication of a cascade of Gregory-Laflamme transitions between black p-brane and (p-1)-brane. Through AdS/CFT correspondence, these transitions are related to the breakdown of the U(1) symmetry in super Yang-Mills on torus. We argue a relationship between the cascade and recent Monte-Carlo data.
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