Scholarlink

<p>Motivated by the problem of multi-twist operators in general CFTs, we study the leading-twist states of the <i>N</i>-body problem in AdS at large spin <i>J</i>. We find that for the majority of states the effective quantum-mechanical problem becomes semiclassical with ℏ = 1/<i>J</i>. The classical system at <i>J</i> = <i>∞</i> has <i>N</i> − 2 degrees of freedom, and the classical phase space is identified with the positive Grassmannian Gr<sub>+</sub>(2, <i>N</i>). The quantum problem is recovered via a Berezin-Toeplitz quantization of a classical Hamiltonian, which we describe explicitly. For <i>N</i> = 3 the classical system has one degree of freedom and a detailed structure of the spectrum can be obtained from Bohr-Sommerfeld conditions. For all <i>N</i>, we show that the lowest excited states are approximated by a harmonic oscillator and find explicit expressions for their energies.</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

AdS N-body problem at large spin

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年10月1日

查看全文
  • Petr Kravchuk,
  • Jeremy A. Mann

摘要

Motivated by the problem of multi-twist operators in general CFTs, we study the leading-twist states of the N-body problem in AdS at large spin J. We find that for the majority of states the effective quantum-mechanical problem becomes semiclassical with ℏ = 1/J. The classical system at J = ∞ has N − 2 degrees of freedom, and the classical phase space is identified with the positive Grassmannian Gr+(2, N). The quantum problem is recovered via a Berezin-Toeplitz quantization of a classical Hamiltonian, which we describe explicitly. For N = 3 the classical system has one degree of freedom and a detailed structure of the spectrum can be obtained from Bohr-Sommerfeld conditions. For all N, we show that the lowest excited states are approximated by a harmonic oscillator and find explicit expressions for their energies.