20.500.12556/RUL-179529 Thermal field theory correlators in the large-N limit and the spectral duality relation In ref. [1], we derived a spectral duality relation applicable to the spectra of 3d conformal field theories (CFTs) and their holographically dual 4d black holes. In this work, we further elaborate on the properties of this duality relation and argue that the same relation can be applied to certain pairs of thermal correlator spectra in large-N quantum field theories in any number of spacetime dimensions, provided the correlators are meromorphic functions with only simple poles and satisfy the thermal product formula. We discuss a rich set of properties that such retarded two-point functions must exhibit. We then show that the spectral duality relation and its implications apply to pairs of correlators in double-trace deformed CFTs and, more generally, to correlators in theories related by the Legendre transform. We illustrate, through several examples, how the spectrum of one correlator can be reconstructed from that of its dual correlation function. Notably, this includes cases relating the thermal spectra of scalar primary operators at ultraviolet and infrared fixed points, as well as current operators in a CFT$_3$ and its particle-vortex dual. conformal field theories thermal field theory high energy physics true false true Angleški jezik Ni določen Članek v reviji 2026-02-16 13:28:10 2026-02-16 13:28:11 2026-02-17 04:13:13 0000-00-00 00:00:00 2026 0 0 54 str. art. no. 106 Vol. 2026 Feb. 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 539.1 1029-8479 10.1007/JHEP02(2026)106 268594179 JHEP02(2026)106.pdf JHEP02(2026)106.pdf 1 FCD6C5BB4D9712B0BA69B5662A4B9FED 27e5b50a04165950cf269012df4fd41e4a9fed808505da6491429db365bd881e 1aaacb67-0b33-11f1-a1ba-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=228098 https://link.springer.com/article/10.1007/JHEP02(2026)106 0 289990ab-0b33-11f1-a1ba-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=228099 Fakulteta za matematiko in fiziko 0 0 0