Barnes function as the partition function of the resolved conifold

نویسنده

  • Sergiy Koshkin
چکیده

We suggest a new strategy for proving large N duality by interpreting GromovWitten, Donaldson-Thomas and Chern-Simons invariants of a Calabi-Yau threefold as different characterizations of the same holomorphic function. For the resolved conifold this function turns out to be the quantum Barnes function, a natural qdeformation of the classical one that in its turn generalizes Euler’s gamma function. Our reasoning is based on a new formula for this function that expresses it as a graded product of q-shifted multifactorials.

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تاریخ انتشار 2008