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Snowmass White Paper: The Numerical Conformal Bootstrap
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Snowmass White Paper: The Numerical Conformal Bootstrap
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We give a brief overview of the status of the numerical conformal bootstrap.
Forward citations
Cited by 9 Pith papers
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Simulating the dynamics of an SU(2) matrix model on a trapped-ion quantum computer
First digital quantum simulation of SU(2) matrix model real-time dynamics on Quantinuum H2 using Loschmidt echo, with systematic error breakdown and modest post-selection gains.
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The $\mathcal{N}=1$ Super-Grassmannian for CFT$_3$ and a Foray on AdS and Cosmological Correlators
A new Super-Grassmannian integral formalism for N=1 SCFT3 correlators enforces symmetries manifestly and relates all component functions to one, enabling construction of AdS4 gluon correlators from gluino ones.
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Simulating the dynamics of an SU(2) matrix model on a trapped-ion quantum computer
First digital quantum simulation of an SU(2) bosonic matrix model on Quantinuum H2, with Loschmidt-echo dynamics and a three-way error budget showing post-selection and ZNE give only modest, non-scaling gains.
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Leading UV Formula for Finite-Volume Vertex Operator Expectation Values in the Sine-Gordon Model from Kink NLIE
Conjectures and numerically verifies a leading UV asymptotic formula for finite-volume vertex operator VEVs in the sine-Gordon model from kink NLIE, matching complex Liouville CFT results to 19 digits.
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The state/defect correspondence
Establishes a one-to-one correspondence between states and p-dimensional defects in higher-form Maxwell theories via an extended Kac-Moody algebra generated by conserved charges from mixed anomalies, mapping dressed W...
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Conformal Data for the $O(2)$ Wilson-Fisher CFT in $(2+1)$-Dimensional Spacetime from Exact Diagonalization and Matrix Product States on the Fuzzy Sphere
Numerical extraction of scaling dimensions and OPE coefficients for 32 primary operators in the O(2) Wilson-Fisher CFT via fuzzy-sphere regularization shows agreement with bootstrap predictions.
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A Compact Story of Positivity in de Sitter
Compares two methods to resolve disagreements and prove positivity of anomalous dimensions for principal series fields coupled to compact scalar operators in de Sitter space.
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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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Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond
This review summarizes transformative examples of generalized symmetries in QFT and their applications to anomalies and dynamics.
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