Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Dalimil Mazáč"'
Publikováno v:
Journal of High Energy Physics, Vol 2023, Iss 2, Pp 1-70 (2023)
Abstract The study of conformal boundary conditions for two-dimensional conformal field theories (CFTs) has a long history, ranging from the description of impurities in one-dimensional quantum chains to the formulation of D-branes in string theory.
Externí odkaz:
https://doaj.org/article/ae2ab0d8c11649d6a33b6fc5aaec251f
Autor:
Waltraut Knop, Dalimil Mazáč
Publikováno v:
Journal of High Energy Physics, Vol 2022, Iss 10, Pp 1-32 (2022)
Abstract Dispersion relations for S-matrices and CFT correlators translate UV consistency into bounds on IR observables. In this note, we construct dispersive sum rules for 1D CFTs. We use them to prove bounds on higher-derivative couplings in weakly
Externí odkaz:
https://doaj.org/article/6017993becce4682bb51a1d658a25044
Publikováno v:
Journal of High Energy Physics, Vol 2021, Iss 11, Pp 1-92 (2021)
Abstract It is a long-standing conjecture that any CFT with a large central charge and a large gap ∆gap in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp form of this conje
Externí odkaz:
https://doaj.org/article/3309d9af42a841659c9bac9de9dd61ed
Publikováno v:
Journal of High Energy Physics, Vol 2021, Iss 8, Pp 1-52 (2021)
Abstract We develop an analytic approach to the four-point crossing equation in CFT, for general spacetime dimension. In a unitary CFT, the crossing equation (for, say, the s- and t-channel expansions) can be thought of as a vector equation in an inf
Externí odkaz:
https://doaj.org/article/90ae97f07cfe4615a1802cd27eb94afc
Publikováno v:
Journal of High Energy Physics, Vol 2021, Iss 7, Pp 1-37 (2021)
Abstract We reconsider the problem of bounding higher derivative couplings in consistent weakly coupled gravitational theories, starting from general assumptions about analyticity and Regge growth of the S-matrix. Higher derivative couplings are expe
Externí odkaz:
https://doaj.org/article/5086f989dc9b428ea5cc8bfb92fa8aa1
Publikováno v:
Journal of High Energy Physics, Vol 2021, Iss 5, Pp 1-112 (2021)
Abstract We give a unified treatment of dispersive sum rules for four-point correlators in conformal field theory. We call a sum rule “dispersive” if it has double zeros at all double-twist operators above a fixed twist gap. Dispersive sum rules
Externí odkaz:
https://doaj.org/article/ff6cbf225e1142499a9f28ce4ab21e13
Publikováno v:
Journal of High Energy Physics, Vol 2019, Iss 12, Pp 1-63 (2019)
Abstract We develop an analytic approach to Boundary Conformal Field Theory (BCFT), focussing on the two-point function of a general pair of scalar primary operators. The resulting crossing equation can be thought of as a vector equation in an infini
Externí odkaz:
https://doaj.org/article/9aab410b5a074ead923d96f44bb0f59f
Publikováno v:
Journal of High Energy Physics, Vol 2019, Iss 12, Pp 1-68 (2019)
Abstract We establish a precise relation between the modular bootstrap, used to con- strain the spectrum of 2D CFTs, and the sphere packing problem in Euclidean geometry. The modular bootstrap bound for chiral algebra U(1) c maps exactly to the Cohn-
Externí odkaz:
https://doaj.org/article/c7882bc2efe34915b4d49903a47d293a
Autor:
Dalimil Mazáč
Publikováno v:
Journal of High Energy Physics, Vol 2019, Iss 6, Pp 1-44 (2019)
Abstract We derive a Lorentzian OPE inversion formula for the principal series of sl(2, ℝ). Unlike the standard Lorentzian inversion formula in higher dimensions, the formula described here only applies to fully crossing-symmetric four-point functi
Externí odkaz:
https://doaj.org/article/c22ef392c4064aa488980f30987a103e
Autor:
Dalimil Mazáč, Miguel F. Paulos
Publikováno v:
Journal of High Energy Physics, Vol 2019, Iss 2, Pp 1-51 (2019)
Abstract We study a general class of functionals providing an analytic handle on the conformal bootstrap equations in one dimension. We explicitly identify the extremal functionals, corresponding to theories saturating conformal bootstrap bounds, in
Externí odkaz:
https://doaj.org/article/e437b91c34114d09823eade838f4d7f7