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<p>We use thermal effective field theory to derive that the coefficient of the first subleading piece of the thermal free energy, <i>c</i><sub>1</sub>, is equal to the coefficient of the subleading piece of the Casimir energy on <i>S</i><sup>1</sup> × <i>S</i><sup><i>d</i>−2</sup> for <i>d</i> ≥ 4. We conjecture that this coefficient obeys a sign constraint <i>c</i><sub>1</sub> ≥ 0 in CFT and collect some evidence for this bound. We discuss various applications of the thermal effective field theory, including placing the CFT on different spatial backgrounds and turning on chemical potentials for U(1) charge and angular momentum. Along the way, we derive the high-temperature partition function on a sphere with arbitrary angular velocities using only time dilation and length contraction.</p>

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Modular invariance and thermal effective field theory in CFT

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月31日

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  • Kuroush Allameh,
  • Edgar Shaghoulian

摘要

We use thermal effective field theory to derive that the coefficient of the first subleading piece of the thermal free energy, c1, is equal to the coefficient of the subleading piece of the Casimir energy on S1 × Sd−2 for d ≥ 4. We conjecture that this coefficient obeys a sign constraint c1 ≥ 0 in CFT and collect some evidence for this bound. We discuss various applications of the thermal effective field theory, including placing the CFT on different spatial backgrounds and turning on chemical potentials for U(1) charge and angular momentum. Along the way, we derive the high-temperature partition function on a sphere with arbitrary angular velocities using only time dilation and length contraction.