The Veneziano amplitude is the unique outcome of an analytic dual bootstrap from dispersive sum rules, unitarity, and either string monodromy or splitting and hidden-zero conditions.
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Caron-Huot, D
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In D>4, gravitational EFTs with higher-derivative operators allow asymptotic superluminality around black holes, but in D=4 the asymptotic causal structure is identical to Schwarzschild and insensitive to corrections.
Complete positivity bounds for the 22 aQGC coefficients in SMEFT restrict the viable parameter space to approximately 0.0313% of the naive total.
Non-minimal three-point interactions induce negative one-loop running of Wilson coefficients in gravitational EFTs, yet graviton loops generate positive IR contributions that dominate the bounds after smearing if the species number is bounded.
Defines IR-finite amplitudes M_E that preserve analyticity and unitarity to derive positivity bounds on EFTs including electromagnetism and gravity in D=4.
Computes the leading double logarithm at 5PM in the high-energy gravitational amplitude via multi-H diagrams and dispersion relations, extracting the single-log imaginary part of the eikonal phase.
A primal S-matrix bootstrap framework parameterizes imaginary parts of partial waves, uses dispersion relations to enforce consistency, computes coupling bounds, and handles Regge behavior plus spinning states like glueballs.
Multipositivity bounds derived from planar tree-level scattering amplitudes constrain Wilson coefficients of the chiral Lagrangian from below by the chiral anomaly.
Tree-level gravitational scattering under the equivalence principle mandates single-particle states in all irreducible representations constructible from a single seed charge, with equal interaction strengths.
Positivity bounds on massive spin-3/2 four-fermion operators restrict the couplings to a bounded region around supergravity values whose volume scales as m^6/M_Pl^6 and vanishes as m approaches zero.
A sampling-based bootstrap for graviton poles in EFTs yields non-projective bounds that fix the EFT cutoff scale relative to the Planck mass, with M/M_P ≲ 7.8 in D=5.
Thermodynamic consistency in thermal scalar EFTs requires the Wilson coefficient of the leading dimension-8 operator to be strictly positive.
citing papers explorer
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Analytic Bootstrap of the Veneziano Amplitude
The Veneziano amplitude is the unique outcome of an analytic dual bootstrap from dispersive sum rules, unitarity, and either string monodromy or splitting and hidden-zero conditions.
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On the Asymptotic Causal Structure in Gravitational EFTs
In D>4, gravitational EFTs with higher-derivative operators allow asymptotic superluminality around black holes, but in D=4 the asymptotic causal structure is identical to Schwarzschild and insensitive to corrections.
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Full positivity bounds for anomalous quartic gauge couplings in SMEFT
Complete positivity bounds for the 22 aQGC coefficients in SMEFT restrict the viable parameter space to approximately 0.0313% of the naive total.
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Negative running of gravitational positivity
Non-minimal three-point interactions induce negative one-loop running of Wilson coefficients in gravitational EFTs, yet graviton loops generate positive IR contributions that dominate the bounds after smearing if the species number is bounded.
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Positivity with Long-Range Interactions
Defines IR-finite amplitudes M_E that preserve analyticity and unitarity to derive positivity bounds on EFTs including electromagnetism and gravity in D=4.
-
Analytic structure of the high-energy gravitational amplitude: multi-H diagrams and classical 5PM logarithms
Computes the leading double logarithm at 5PM in the high-energy gravitational amplitude via multi-H diagrams and dispersion relations, extracting the single-log imaginary part of the eikonal phase.
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Primal S-matrix bootstrap with dispersion relations
A primal S-matrix bootstrap framework parameterizes imaginary parts of partial waves, uses dispersion relations to enforce consistency, computes coupling bounds, and handles Regge behavior plus spinning states like glueballs.
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Multipositivity Constrains the Chiral Lagrangian
Multipositivity bounds derived from planar tree-level scattering amplitudes constrain Wilson coefficients of the chiral Lagrangian from below by the chiral anomaly.
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The Equivalence Principle at High Energies Completes the Spectrum
Tree-level gravitational scattering under the equivalence principle mandates single-particle states in all irreducible representations constructible from a single seed charge, with equal interaction strengths.
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Positivity in Massive Spin-3/2 EFTs and the Planck-Suppressed Neighbourhood of Supergravity
Positivity bounds on massive spin-3/2 four-fermion operators restrict the couplings to a bounded region around supergravity values whose volume scales as m^6/M_Pl^6 and vanishes as m approaches zero.
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Sampling the Graviton Pole and Deprojecting the Swampland
A sampling-based bootstrap for graviton poles in EFTs yields non-projective bounds that fix the EFT cutoff scale relative to the Planck mass, with M/M_P ≲ 7.8 in D=5.
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Positivity bounds from thermal field theory entropy
Thermodynamic consistency in thermal scalar EFTs requires the Wilson coefficient of the leading dimension-8 operator to be strictly positive.