Massive spin-3/2 EFT contact couplings are constrained by positivity to a Planck-suppressed neighborhood of supergravity values whose volume scales as m^6/M_Pl^6 and vanishes as m approaches zero.
Energy's and amplitudes' positivity
11 Pith papers cite this work. Polarity classification is still indexing.
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abstract
In QFT, the null energy condition (NEC) for a classical field configuration is usually associated with that configuration's stability against small perturbations, and with the sub-luminality of these. Here, we exhibit an effective field theory that allows for stable NEC-violating solutions with exactly luminal excitations only. The model is the recently introduced `galileon', or more precisely its conformally invariant version. We show that the theory's low-energy S-matrix obeys standard positivity as implied by dispersion relations. However we also show that if the relevant NEC-violating solution is inside the effective theory, then other (generic) solutions allow for superluminal signal propagation. While the usual association between sub-luminality and positivity is not obeyed by our example, that between NEC and sub-luminality is, albeit in a less direct way than usual.
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UNVERDICTED 11roles
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Lorentz invariance and unitarity imply strictly positive low-temperature interaction corrections of the form T^{2D-4+4k} (k>0) to the pressure in perturbative massless boson theories.
Derives conditions for viable screened radial solutions in multi-field de Sitter Galileons, showing curvature can mitigate superluminality at the cost of a finite validity range set by the strong-coupling point.
Dispersive bootstrap with unitarity, crossing and a Virasoro-inspired ansatz isolates the Virasoro-Shapiro amplitude in a small island for the gravity-pole-subtracted four-point amplitude in 10D supersymmetry.
Mellin transform of superstring amplitude reduces to Riemann zeta function in forward limit and supplies a new closed-form expression for its EFT expansion at finite t.
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.
Affine ANEC obstructs non-static flat and open FRW from being null geodesically complete while ANEC-satisfying, but allows explicit scalar-field realizations for closed FRW with NEC-respecting matter.
Thermodynamic consistency in thermal scalar EFTs requires the Wilson coefficient of the leading dimension-8 operator to be strictly positive.
Links amplitude positivity to S-matrix entanglement consistency for flavored states, analyzes disentanglers, and introduces wave-packet regularization for entanglement expressions.
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.
citing papers explorer
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Positivity in Massive Spin-3/2 EFTs and the Planck-Suppressed Neighbourhood of Supergravity
Massive spin-3/2 EFT contact couplings are constrained by positivity to a Planck-suppressed neighborhood of supergravity values whose volume scales as m^6/M_Pl^6 and vanishes as m approaches zero.
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Thermal Positivity
Lorentz invariance and unitarity imply strictly positive low-temperature interaction corrections of the form T^{2D-4+4k} (k>0) to the pressure in perturbative massless boson theories.
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Radial Solutions of Multi-Field de Sitter Galileons
Derives conditions for viable screened radial solutions in multi-field de Sitter Galileons, showing curvature can mitigate superluminality at the cost of a finite validity range set by the strong-coupling point.
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A Dispersive Bootstrap for the Virasoro-Shapiro Amplitude
Dispersive bootstrap with unitarity, crossing and a Virasoro-inspired ansatz isolates the Virasoro-Shapiro amplitude in a small island for the gravity-pole-subtracted four-point amplitude in 10D supersymmetry.
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Zeta Functions and the Superstring
Mellin transform of superstring amplitude reduces to Riemann zeta function in forward limit and supplies a new closed-form expression for its EFT expansion at finite t.
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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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Affine ANEC selects the closed FRW branch for geodesically complete cosmology
Affine ANEC obstructs non-static flat and open FRW from being null geodesically complete while ANEC-satisfying, but allows explicit scalar-field realizations for closed FRW with NEC-respecting matter.
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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.
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Positivity in Amplitudes and Quantum Entanglement
Links amplitude positivity to S-matrix entanglement consistency for flavored states, analyzes disentanglers, and introduces wave-packet regularization for entanglement expressions.
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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.