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16 February 2025 |
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Article overview
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Non-Perturbative Quantum Geometry III | Daniel Krefl
; | Date: |
1 May 2016 | Abstract: | The Nekrasov-Shatashvili limit of the refined topological string on toric
Calabi-Yau manifolds and the resulting quantum geometry is studied from a
non-perturbative perspective. The quantum differential and thus the quantum
periods exhibit Stockes phenomena over the combined string coupling and
quantized Kaehler moduli space. We outline that the underlying formalism of
exact quantization is generally applicable to points in moduli space featuring
massless hypermultiplets, leading to non-perturbative band splitting. Our prime
example is local P1xP1 near a conifold point in moduli space. In particular, we
will present numerical evidence that in a Stockes chamber of interest the
string based quantum geometry reproduces the non-perturbative corrections for
the Nekrasov-Shatashvili limit of 4d supersymmetric SU(2) gauge theory at
strong coupling found in the previous part of this series. A preliminary
discussion of local P2 near the conifold point in moduli space is also
provided. | Source: | arXiv, 1605.0182 | Services: | Forum | Review | PDF | Favorites |
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