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54 papers · 1 filter
Scalar field breathers on anti-de Sitter background
Gyula Fodor, Péter Forgács, Philippe Grandclément
We study spatially localized, time-periodic solutions (breathers) of scalar field theories with various self-interacting potentials on Anti-de Sitter (AdS) spacetimes in dimens…
Nonlinear elliptic equations with measures revisited
Haïm Brezis, Moshe Marcus, Augusto C. Ponce
We study the existence of solutions of the nonlinear problem $$ \left\{ \begin{alignedat}{2} -Δu + g(u) & = μ& & \quad \text{in } Ω,\\ u & = 0 & & \quad \text{on } \partial Ω, \end…
Analogues of Lusztig's higher order relations for the q-Onsager algebra
P. Baseilhac, T. T. Vu
Let be the generators of the Onsager algebra. Analogues of Lusztig's higher order relations are proposed. In a first part, based on the properties of tridiagonal…
BTZ Black Hole Entropy and the Turaev-Viro model
Marc Geiller, Karim Noui
We show the explicit agreement between the derivation of the Bekenstein-Hawking entropy of a Euclidean BTZ black hole from the point of view of spin foam models and canonical quant…
Dressing a black hole with a time-dependent Galileon
Eugeny Babichev, Christos Charmousis
We present a class of exact scalar-tensor black holes for a shift-symmetric part of the Horndeski action. The action includes a higher order scalar tensor interaction term. We find…
Quantum Mechanics à la Langevin and Supersymmetry
S. Nicolis
We study quantum mechanics in the stochastic formulation, using the functional integral approach. The noise term enters the classical action as a local contribution of anticommutin…