Fock space dualities
نویسندگان
چکیده
منابع مشابه
Interacting Fock Space versus Full Fock Module*
We present several examples where moments of creators and annihilators on an interacting Fock space may be realized as moments of creators and annihilators on a full Fock module. Motivated by this experience we answer the question, whether such a possibility exists for arbitrary interacting Fock spaces, in the affirmative sense. We treat the problem in full algebraic generality. As a by-product...
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Duality groups of Abelian gauge theories on four manifolds and their reduction to two dimensions are considered. The duality groups include elements that relate different space-times in addition to relating different gauge-coupling matrices. We interpret (some of) such dualities as the geometrical symmetries of compactified theories in higher dimensions. In particular, we consider compactificat...
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These notes are intended as a fairly self contained explanation of Fock space and various algebras that act on it, including a Clifford algebras, a Weyl algebra, and an affine Kac-Moody algebra. We also discuss how the various algebras are related, and in particular describe the celebrated boson-fermion correspondence. We finish by briefly discussing a deformation of Fock space, which is a repr...
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Hilbert Space of a Single Fermionic Mode A single bosonic mode is equivalent to a harmonic oscillator; the relation [â, â†] = 1 gives rise to an infinite-dimensional Hilbert space spanning states |n〉 for n = 0, 1, 2, 3, . . . ,∞. A single fermionic mode is different — its Hilbert space spans just two states, |0〉 and |1〉. In accordance with the Fermi statistics, multiple quanta in the same mode ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2020
ISSN: 0022-2488,1089-7658
DOI: 10.1063/5.0015578