Scholarlink

<p>Motivated by SYK-like models describing near-BPS black holes in string/M-theory, we consider gauging the U(1) symmetry of the complex SYK model in the presence of a Wilson line with charge <i>k</i>. At a fixed background gauge field, solutions to the Schwinger-Dyson equations display vastly different properties from those at a fixed real chemical potential. In the partition function and the two-point function, the integral over the gauge field is performed either directly or via a large <i>N</i> saddle point approximation, and both results are consistent with exact diagonalization data. From the behaviour of the two-point function at large <i>N</i>, we deduce that the conformal symmetry at low energies is preserved at fixed <i>κ</i> = <i>k</i>/<i>N</i> = 0, but broken at <i>κ</i> ≠ 0. In addition, we find that there is maximal chaos for all <i>k</i>.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Gauging the complex SYK model

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年8月27日

查看全文
  • Ziruo Zhang,
  • Cheng Peng

摘要

Motivated by SYK-like models describing near-BPS black holes in string/M-theory, we consider gauging the U(1) symmetry of the complex SYK model in the presence of a Wilson line with charge k. At a fixed background gauge field, solutions to the Schwinger-Dyson equations display vastly different properties from those at a fixed real chemical potential. In the partition function and the two-point function, the integral over the gauge field is performed either directly or via a large N saddle point approximation, and both results are consistent with exact diagonalization data. From the behaviour of the two-point function at large N, we deduce that the conformal symmetry at low energies is preserved at fixed κ = k/N = 0, but broken at κ ≠ 0. In addition, we find that there is maximal chaos for all k.