Derives universal quadratic response of 3D CFT free energy to S^3 squashing proportional to c_T and constructs thermal effective action for high-T Seifert manifolds with explicit Wilson coefficients.
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Thermal inversion formulas produce asymptotically accurate CFT data for heavy operators that remains reliable at intermediate dimensions and survives first-order bulk interactions.
Retarded correlators of bulk scalars and Wilson-line displacement operators exhibit bouncing singularities at t_c=β/2(1+i) with matching WKB and asymptotic OPE data, implying a universal high-frequency factorization.
Thermal two-point functions of scalar CFT operators at zero spatial separation are reconstructed from their discontinuities via Hurwitz zeta kernels, with OPE coefficients as the only dynamical input.
Leading coefficients of the thermal effective action for the large-N critical O(N) vector model in 3D with twist are computed via twisted partition function on S2 and path-integral methods, yielding consistent results.
Establishes correspondence between flat, thermal, and defect conformal partial waves via shadow formalism, obtaining thermal blocks from flat four-point and defect two-point functions and reducing the Casimir equation diagonally.
A neural-network approach with dispersion relations handles infinite OPE towers in thermal conformal correlators without positivity.
Conformal ladder integrals are represented via thermal free energies of massive scalars, obey a second-order differential equation in even dimensions at any loop order, and admit an all-loop resummation for arbitrary D.
citing papers explorer
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CFTs on Squashed Spheres and the Thermal Effective Action
Derives universal quadratic response of 3D CFT free energy to S^3 squashing proportional to c_T and constructs thermal effective action for high-T Seifert manifolds with explicit Wilson coefficients.
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Thermal One-point Functions and Asymptotic CFT Data: QFT in AdS
Thermal inversion formulas produce asymptotically accurate CFT data for heavy operators that remains reliable at intermediate dimensions and survives first-order bulk interactions.
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Bouncing singularities and thermal correlators on line defects
Retarded correlators of bulk scalars and Wilson-line displacement operators exhibit bouncing singularities at t_c=β/2(1+i) with matching WKB and asymptotic OPE data, implying a universal high-frequency factorization.
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The analytic bootstrap at finite temperature
Thermal two-point functions of scalar CFT operators at zero spatial separation are reconstructed from their discontinuities via Hurwitz zeta kernels, with OPE coefficients as the only dynamical input.
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Thermal effective action for the $O(N)$ vector model
Leading coefficients of the thermal effective action for the large-N critical O(N) vector model in 3D with twist are computed via twisted partition function on S2 and path-integral methods, yielding consistent results.
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Thermal conformal partial waves from flat-space and defect CFT
Establishes correspondence between flat, thermal, and defect conformal partial waves via shadow formalism, obtaining thermal blocks from flat four-point and defect two-point functions and reducing the Casimir equation diagonally.
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Neural Networks, Dispersion Relations and the Thermal Bootstrap
A neural-network approach with dispersion relations handles infinite OPE towers in thermal conformal correlators without positivity.
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A thermal representation for conformal ladder integrals
Conformal ladder integrals are represented via thermal free energies of massive scalars, obey a second-order differential equation in even dimensions at any loop order, and admit an all-loop resummation for arbitrary D.