14,223 research outputs found
Three-Dimensional Extended Bargmann Supergravity
We show that three-dimensional General Relativity, augmented with two vector
fields, allows for a non-relativistic limit, different from the standard limit
leading to Newtonian gravity, that results into a well-defined action which is
of the Chern-Simons type. We show that this three-dimensional `Extended
Bargmann Gravity', after coupling to matter, leads to equations of motion
allowing a wider class of background geometries than the ones that one
encounters in Newtonian gravity. We give the supersymmetric generalization of
these results and point out an important application in the context of
calculating partition functions of non-relativistic field theories using
localization techniques.Comment: 6 pages, v2: typo's corrected, reference updated, accepted for
publication in Phys. Rev. Let
Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems
We study dynamical optimal transport metrics between density matrices
associated to symmetric Dirichlet forms on finite-dimensional -algebras.
Our setting covers arbitrary skew-derivations and it provides a unified
framework that simultaneously generalizes recently constructed transport
metrics for Markov chains, Lindblad equations, and the Fermi
Ornstein--Uhlenbeck semigroup. We develop a non-nommutative differential
calculus that allows us to obtain non-commutative Ricci curvature bounds,
logarithmic Sobolev inequalities, transport-entropy inequalities, and spectral
gap estimates
Non-relativistic fields from arbitrary contracting backgrounds
We discuss a non-relativistic contraction of massive and massless field
theories minimally coupled to gravity. Using the non-relativistic limiting
procedure introduced in our previous work, we (re-)derive non-relativistic
field theories of massive and massless spins 0 to 3/2 coupled to torsionless
Newton-Cartan backgrounds. We elucidate the relativistic origin of the
Newton-Cartan central charge gauge field and explain its relation to
particle number conservation.Comment: 19 page
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