Barnes function as the partition function of the resolved conifold
نویسنده
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.
منابع مشابه
Quantum Barnes Function as the Partition Function of the Resolved Conifold
We give a short new proof of large N duality between the Chern-Simons invariants of the 3-sphere and the Gromov-Witten/Donaldson-Thomas invariants of the resolved conifold. Our strategy applies to more general situations, and it is to interpret the Gromov-Witten, the DonaldsonThomas, and the Chern-Simons invariants as different characterizations of the same holomorphic function. For the resolve...
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