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57 papers · 1 filter
On the Null Energy Condition and Cosmology
I. Ya. Aref'eva, I. V. Volovich
Field theories which violate the null energy condition (NEC) are of interest for the solution of the cosmological singularity problem and for models of cosmological dark energy wit…
R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain
Sergey E. Derkachov, Alexander N. Manashov
The problem of constructing the invariant solutions to the Yang-Baxter equation is considered. The solutions (-operators) for arbitrarily principal…
Reflection equation and twisted Yangians
Andrey Mudrov
With any involutive anti-algebra and coalgebra automorphism of a quasitriangular bialgebra we associate a reflection equation algebra. A Hopf algebraic treatment of the reflection…
The van Kampen obstruction and its relatives
Sergey A. Melikhov
We review a cochain-free treatment of the classical van Kampen obstruction θto embeddability of an n-polyhedron into R^{2n} and consider several analogues and generalizations of θ,…
The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
Gleb Arutyunov, Sergey Frolov, Marija Zamaklar
We discuss the Zamolodchikov-Faddeev algebra for the superstring sigma-model on AdS_5 x S^5. We find the canonical su(2|2)^2 invariant S-matrix satisfying the standard Yang-Baxter…
Inside the BTZ black hole
G. de Berredo-Peixoto, M. O. Katanaev
We consider static circularly symmetric solution of three-dimensional Einstein's equations with negative cosmological constant (the BTZ black hole). The case of zero cosmological c…