192 citations · 1.5k across the 24 of their papers we have counts for
24 papers
A strong-weak duality for the 1d long-range Ising model
Dario Benedetti, Edoardo Lauria, Dalimil Mazac +1
We investigate the one-dimensional Ising model with long-range interactions decaying as . In the critical regime, for , this system realizes a family…
Weyl bound for trilinear periods via conformal bootstrap
Anshul Adve, James Bonifacio, Petr Kravchuk +4
Let be holomorphic modular forms of the same weight for a cocompact lattice . We estimate the rate of decay of the coefficients in the expa…
1d Ising model with interaction
Dario Benedetti, Edoardo Lauria, Dalimil Mazáč +1
We study the 1d Ising model with long-range interactions decaying as . The critical model corresponds to a family of 1d conformal field theories (CFTs) whose data depend…
Spectral Bounds on Hyperbolic 3-Manifolds: Associativity and the Trace Formula
James Bonifacio, Dalimil Mazac, Sridip Pal
We constrain the low-energy spectra of Laplace operators on closed hyperbolic manifolds and orbifolds in three dimensions, including the standard Laplace-Beltrami operator on funct…
Dispersive Sum Rules in AdS
Waltraut Knop, Dalimil Mazac
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…
Snowmass White Paper: The Analytic Conformal Bootstrap
Thomas Hartman, Dalimil Mazac, David Simmons-Duffin +1
The analytic conformal bootstrap is an array of techniques to characterize, constrain, and solve strongly interacting quantum field theories using symmetries, causality, unitarity,…
Bootstrapping Boundaries and Branes
Scott Collier, Dalimil Mazac, Yifan Wang
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 qua…
Automorphic Spectra and the Conformal Bootstrap
Petr Kravchuk, Dalimil Mazac, Sridip Pal
We describe a new method for constraining Laplacian spectra of hyperbolic surfaces and 2-orbifolds. The main ingredient is consistency of the spectral decomposition of integrals of…
AdS Bulk Locality from Sharp CFT Bounds
Simon Caron-Huot, Dalimil Mazac, Leonardo Rastelli +1
It is a long-standing conjecture that any CFT with a large central charge and a large gap in the spectrum of higher-spin single-trace operators must be dual to a l…
Sharp Boundaries for the Swampland
Simon Caron-Huot, Dalimil Mazac, Leonardo Rastelli +1
We reconsider the problem of bounding higher derivative couplings in consistent weakly coupled gravitational theories, starting from general assumptions about analyticity and Regge…
Dispersive CFT Sum Rules
Simon Caron-Huot, Dalimil Mazac, Leonardo Rastelli +1
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 o…
A Basis of Analytic Functionals for CFTs in General Dimension
Dalimil Mazac, Leonardo Rastelli, Xinan Zhou
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…
Sphere Packing and Quantum Gravity
Thomas Hartman, Dalimil Mazáč, Leonardo Rastelli
We establish a precise relation between the modular bootstrap, used to constrain the spectrum of 2D CFTs, and the sphere packing problem in Euclidean geometry. The modular bootstra…
A Crossing-Symmetric OPE Inversion Formula
Dalimil Mazac
We derive a Lorentzian OPE inversion formula for the principal series of . Unlike the standard Lorentzian inversion formula in higher dimensions, the formula desc…
An Analytic Approach to BCFT
Dalimil Mazáč, Leonardo Rastelli, Xinan Zhou
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…
The Analytic Functional Bootstrap II: Natural Bases for the Crossing Equation
Dalimil Mazac, Miguel F. Paulos
We clarify the relationships between different approaches to the conformal bootstrap. A central role is played by the so-called extremal functionals. They are linear functionals ac…
No Particle Production in Two Dimensions: Recursion Relations and Multi-Regge Limit
Barak Gabai, Dalimil Mazac, Andrei Shieber +2
We introduce high-energy limits which allow us to derive recursion relations fixing the various couplings of Lagrangians of two-dimensional relativistic quantum field theories with…
The Analytic Functional Bootstrap I: 1D CFTs and 2D S-Matrices
Dalimil Mazac, Miguel F. Paulos
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, corresp…
Superconformal Blocks for SCFTs with Eight Supercharges
Nikolay Bobev, Edoardo Lauria, Dalimil Mazac
We show how to treat the superconformal algebras with eight Poincaré supercharges in a unified manner for spacetime dimension . This formalism is ideally suited for an…
Analytic Bounds and Emergence of Physics from the Conformal Bootstrap
Dalimil Mazac
We study analytically the constraints of the conformal bootstrap on the low-lying spectrum of operators in field theories with global conformal symmetry in one and two spacetime di…
Bootstrapping SCFTs with Four Supercharges
Nikolay Bobev, Sheer El-Showk, Dalimil Mazac +1
We study the constraints imposed by superconformal symmetry, crossing symmetry, and unitarity for theories with four supercharges in spacetime dimension . We show ho…
Bootstrapping the Three-Dimensional Supersymmetric Ising Model
Nikolay Bobev, Sheer El-Showk, Dalimil Mazac +1
We implement the conformal bootstrap program for three-dimensional CFTs with supersymmetry and find universal constraints on the spectrum of operator dimensions in…
Bootstrapping the 3d Ising twist defect
Davide Gaiotto, Dalimil Mazac, Miguel F. Paulos
Recent numerical results point to the existence of a conformally invariant twist defect in the critical 3d Ising model. In this note we show that this fact is supported by both eps…
Topological order, entanglement, and quantum memory at finite temperature
Dalimil Mazac, Alioscia Hamma
We compute the topological entropy of the toric code models in arbitrary dimension at finite temperature. We find that the critical temperatures for the existence of full quantum (…