منابع مشابه
Second Quantized Frobenius Algebras
We show that given a Frobenius algebra there is a unique notion of its second quantization, which is the sum over all symmetric group quotients of n–th tensor powers, where the quotients are given by symmetric group twisted Frobenius algebras. To this end, we consider the setting of Frobenius algebras given by functors from geometric categories whose objects are endowed with geometric group act...
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We propose and give strong evidence for a duality relating Type II theories on CalabiYau spaces and heterotic strings on K3× T , both of which have N = 2 spacetime supersymmetry. Entries in the dictionary relating the dual theories are derived from an analysis of the soliton string worldsheet in the context of N = 2 orbifolds of dual N = 4 compactifications of Type II and heterotic strings. In ...
متن کاملAdiabatic approximation in the second quantized formulation
Recently there have been some controversies about the criterion of the adiabatic approximation. It is shown that an approximate diagonalization of the effective Hamiltonian in the second quantized formulation gives rise to a reliable and unambiguous criterion of the adiabatic approximation. This is illustrated for the model of Marzlin and Sanders and a model related to the geometric phase which...
متن کاملCombinatorial algebra for second-quantized Quantum Theory
We describe an algebra G of diagrams that faithfully gives a diagrammatic representation of the structures of both the Heisenberg–Weyl algebra H – the associative algebra of the creation and annihilation operators of quantum mechanics – and U(LH), the enveloping algebra of the Heisenberg Lie algebra LH. We show explicitly how G may be endowed with the structure of a Hopf algebra, which is also ...
متن کاملOn Second–Quantized Open Superstring Theory
The SO(32) theory, in the limit where it is an open superstring theory, is completely specified in the light–cone gauge as a second–quantized string theory in terms of a “matrix string” model. The theory is defined by the neighbourhood of a 1+1 dimensional fixed point theory, characterized by an Abelian gauge theory with type IB Green–Schwarz form. Non–orientability and SO(32) gauge symmetry ar...
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ژورنال
عنوان ژورنال: Communications in Number Theory and Physics
سال: 2014
ISSN: 1931-4523,1931-4531
DOI: 10.4310/cntp.2014.v8.n3.a2