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Abstract: It is now known (or in some cases just believed) that many quantum field theories exhibit dualities, equivalences with the same or a different theory in which things appear very different, b...
Abstract: This paper is a review of open-closed rational conformal field theory (CFT) via the theory of vertex operator algebras (VOAs), together with a proposal of a new geometry based on CFTs and D-...
Abstract: This note is intended as an introduction to the functorial formulation of quantum field theories with defects. After some remarks about models in general dimension, we restrict ourselves to ...
We address the problem of ambiguity of a function determined by an asymptotic perturbation expansion. Using a modified form of the Watson lemma recently proved elsewhere, we discuss a large class of...
For the first time it is shown that for thin metallic films thickness of which does not exceed thickness of skin – layer, the problem of description of surface plasma oscillations allows analytical so...
The character formulas of [42] are an early triumph in p-adic har-monic analysis, but, to date, the calculations underlying the formulas have not been available.
This paper finds the generators of the automorphism group of the group of unitriangular matrices over a field. Most of this paper is an exposition of the work of V.M. Lev˘chuk, part of which is i...
We compare a heuristic count of components of the center variety in degree 3 with the equivalent count obtained from known families.From this comparison we conjecture that more than 100 unknown compon...
The general aim of this paper is to extend the Modal-Hamiltonian interpretation of quantum mechanics to the case of relativistic quantum mechanics with gauge U(1) fields.
Motivated by the difficulty arising in the numerical simulation of the movement of charged particles in presence of a large external magnetic field, which adds an additional time scale and thus impos...
Borwein and Broadhurst, using experimental-mathematics techniques, in 1998 identified numerous hyperbolic 3-manifolds whose volumes are rationally related to values of various Dirichlet L series $\te...
We formalize geometrically the idea that the (de Donder) Hamiltonian formu-lation of a higher derivative Lagrangian field theory can be constructed under-standing the latter as a first derivative theo...
We present a rigorous quantization scheme that yields a quantum field theory in general boundary form starting from a linear field theory. Following a geometric quantization approach in the Kähle...
This paper is devoted to studying symmetries of certain kinds of k-cosymplectic Hamiltonian systems in first-order classical field theories. Thus, we introduce a particular class of symmetries and s...
et Fq be a finite field of q = pa elements. Let X be a smooth quasi-projective subscheme of Pn of dimension m ≥ 0 over Fq. N. Katz asked for a finite field analogue of the Bertini smoothness theorem...

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