43 Result(s)
within
A. Liam Fitzpatrick
Elementary Particles, Quantum Field Theory
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Article
Open AccessImproving modular bootstrap bounds with integrality
We propose methods that efficiently impose integrality — i.e., the condition that the coefficients of characters in the partition function must be integers — into numerical modular bootstrap. We demonstrate th...
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Open AccessHigher d Eisenstein series and a duality-invariant distance measure
The Petersson inner product is a natural inner product on the space of modular invariant functions. We derive a formula, written as a convergent sum over elementary functions, for the inner product Es(G, B) of th...
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Article
Open AccessLSZ in action: extracting form factors from correlators nonperturbatively in 2d ϕ4 theory
In this paper, we compute multiparticle form factors of local operators in 2d ϕ4 theory using a recently proposed method [1] for efficiently implementing the LSZ prescription with Hamiltonian Truncation methods, ...
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Open AccessChiral limit of 2d QCD revisited with lightcone conformal truncation
We study the chiral limit of 2d QCD with a single quark flavor at finite Nc using LCT. By modifying the LCT basis according to the quark mass in a manner motivated by ’t Hooft’s analysis, we are able to restore c...
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Open AccessThermalization and chaos in a 1+1d QFT
We study aspects of chaos and thermodynamics at strong coupling in a scalar model using LCT numerical methods. We find that our eigenstate spectrum satisfies Wigner-Dyson statistics and that the coefficients d...
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Open AccessNonperturbative bounds on scattering of massive scalar particles in d ≥ 2
We study two-to-two scattering amplitudes of a scalar particle of mass m. For simplicity, we assume the presence of ℤ2 symmetry and that the particle is ℤ2 odd. We consider two classes of amplitudes: the fully no...
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Open AccessForm factors and spectral densities from Lightcone Conformal Truncation
We use the method of Lightcone Conformal Truncation (LCT) to obtain form factors and spectral densities of local operators 𝒪 in ϕ4 theory in two dimensions. We show how to use the Hamiltonian eigenstates from LCT...
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Open AccessBootstrap** 2d ϕ4 theory with Hamiltonian truncation data
We combine the methods of Hamiltonian Truncation and the recently proposed generalisation of the S-matrix bootstrap that includes local operators to determine the two-particle scattering amplitude and the two-...
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Open AccessHarmonic analysis of 2d CFT partition functions
We apply the theory of harmonic analysis on the fundamental domain of SL(2, ℤ) to partition functions of two-dimensional conformal field theories. We decompose the partition function of c free bosons on a Narain ...
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Open AccessSolving the 2D SUSY Gross-Neveu-Yukawa model with conformal truncation
We use Lightcone Conformal Truncation to analyze the RG flow of the two-dimensional supersymmetric Gross-Neveu-Yukawa theory, i.e. the theory of a real scalar superfield with a ℤ2-symmetric cubic superpotential, ...
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Article
Open AccessModel-dependence of minimal-twist OPEs in d > 2 holographic CFTs
Following recent work on heavy-light correlators in higher-dimensional conformal field theories (CFTs) with a large central charge CT, we clarify the properties of stress tensor composite primary operators of min...
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Open AccessNonperturbative matching between equal-time and lightcone quantization
We investigate the nonperturbative relation between lightcone (LC) and standard equal-time (ET) quantization in the context of λϕ4 theory in d = 2. We discuss the perturbative matching between bare parameters and...
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Open AccessProbing universalities in d > 2 CFTs: from black holes to shockwaves
Gravitational shockwaves are insensitive to higher-curvature corrections in the action. Recent work found that the OPE coefficients of lowest-twist multi-stress-tensor operators, computed holographically in a ...
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Open AccessUniversal lowest-twist in CFTs from holography
We probe the conformal block structure of a scalar four-point function in d ≥ 2 conformal field theories by including higher-order derivative terms in a bulk gravitational action. We consider a heavy-light four-p...
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Article
Open AccessThe bulk-to-boundary propagator in black hole microstate backgrounds
First-quantized propagation in quantum gravitational AdS3 backgrounds can be exactly reconstructed using CFT2 data and Virasoro symmetry. We develop methods to compute the bulk-to-boundary propagator in a black h...
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Article
Open AccessThe most irrational rational theories
We propose a two-parameter family of modular invariant partition functions of two-dimensional conformal field theories (CFTs) holographically dual to pure three-dimensional gravity in anti de Sitter space. Our...
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Article
Open AccessConformal truncation of chern-simons theory at large Nf
We set up and analyze the lightcone Hamiltonian for an abelian Chern-Simons field coupled to Nf fermions in the limit of large Nf using conformal truncation, i.e. with a truncated space of states corresponding to...
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Article
Open AccessLightcone effective Hamiltonians and RG flows
We present a prescription for an effective lightcone (LC) Hamiltonian that includes the effects of zero modes, focusing on the case of Conformal Field Theories (CFTs) deformed by relevant operators. We show ho...
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Article
Open AccessThe AdS3 propagator and the fate of locality
We recently used Virasoro symmetry considerations to propose an exact formula for a bulk proto-field ϕ in AdS3. In this paper we study the propagator 〈ϕϕ〉. We show that many techniques from the study of conformal...
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Open AccessConstraints on flavored 2d CFT partition functions
We study the implications of modular invariance on 2d CFT partition functions with abelian or non-abelian currents when chemical potentials for the charges are turned on, i.e. when the partition functions are ...
