AI 中文总结
研究全息术中自旋分辨的双迹热系数，通过扩展构造到非零空间分离，利用零频体波方程解决KMS条件的残余模糊性，给出计算热系数的有效方法，还研究了关联函数的洛伦兹解析结构。
AI 中文摘要
先前已表明，算符乘积展开（OPE）的应力张量部分与KMS条件一起，确定了空间分离为零时的全息热两点函数。我们将此构造扩展到非零空间分离，此时KMS条件留下仅依赖于空间分离的残余模糊性。我们表明此模糊性由零频体波方程确定，该方程可用Heun函数解析求解。这给出了计算自旋分辨的双迹算符热系数的有效方法。我们还研究了所得关联函数的洛伦兹解析结构，并表明在应力张量部分在类空分离处出现的复体锥奇点在完整两点函数中并不持续；它们由双迹贡献解决。
英文摘要
It was previously shown that the stress-tensor sector of the OPE, together with the KMS condition, fixes holographic thermal two-point functions at vanishing spatial separation. We extend this construction to nonzero spatial separation, where the KMS condition leaves a residual ambiguity that depends only on the spatial separation. We show that this ambiguity is fixed by the zero-frequency bulk wave equation, which can be solved analytically in terms of Heun functions. This gives an efficient method for computing thermal coefficients of double-trace operators resolved by spin. We also study the Lorentzian analytic structure of the resulting correlator and show that complex bulk-cone singularities which appear at spacelike separation in the stress-tensor sector do not persist in the full two-point function; they are resolved by the double-trace contribution.
