Optimal transport yields a generalized Wasserstein distance on field space, obtained from a WKB expansion of a Schrödinger equation and extended to dynamical gravity via the Wheeler-DeWitt equation in the ADM formalism.
Fake Supergravity and Domain Wall Stability
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We review the generalized Witten-Nester spinor stability argument for flat domain wall solutions of gravitational theories. Neither the field theory nor the solution need be supersymmetric. Nor is the space-time dimension restricted. We develop the non-trivial extension required for AdS-sliced domain walls and apply this to show that the recently proposed "Janus" solution of Type IIB supergravity is stable non-perturbatively for a broad class of deformations. Generalizations of this solution to arbitrary dimension and a simple curious linear dilaton solution of Type IIB supergravity are byproducts of this work.
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For m²L²=-2 in AdS black holes with integrable mixed boundary conditions, the cubic coefficient in the near-boundary expansion of the solution-dependent W(φ) is fixed by the boundary deformation to ensure a well-posed variational principle and finite renormalized action.
Positivity of a weighted holographic energy is proven for 4D spacetimes with negative cosmological constant and conformally static boundaries of spherical or toroidal topology with compatible spin structure.
Uses calibrations to protect examined non-supersymmetric AdS vacua in type II string theory from D-brane mediated decays, including abelian bound states.
A survey of tachyons and tadpoles in non-supersymmetric closed and orientifold strings, including ten-dimensional models and landscape attempts.
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Positivity of holographic energy
Positivity of a weighted holographic energy is proven for 4D spacetimes with negative cosmological constant and conformally static boundaries of spherical or toroidal topology with compatible spin structure.