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Gromov-Witten Theory and Automorphic Forms

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String Theory: From Gauge Interactions to Cosmology

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry ((NAII,volume 208))

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Abstract

Here’s a quick introduction to Gromov-Witten invariants, their origin in topological strings, their relation to BPS states counting, and the automorphic properties of their generating function (GW potential). The plan is to interpolate between Morozov’s and Dijkgraaf’s lectures, i.e. between KdV hierarchies (or their solutions as τ-functions) and topological strings (or correlators of operators on a worldsheet).

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References

  1. D. Grünberg, Gromov-Witten Theory from a Stringy Perspective, unofficial thesis, unpublished, http://www.physik.hu-berlin.de/~grunberg/thesis.ps (or.pdf)

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© 2005 Springer

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GrÜnberg, D. (2005). Gromov-Witten Theory and Automorphic Forms. In: Baulieu, L., de Boer, J., Pioline, B., Rabinovici, E. (eds) String Theory: From Gauge Interactions to Cosmology. NATO Science Series II: Mathematics, Physics and Chemistry, vol 208. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3733-3_17

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