Journal article

Models of discretized moduli spaces, cohomological field theories, and Gaussian means

Jorgen Ellegaard Andersen, Leonid O Chekhov, Paul Norbury, Robert C Penner

Journal of Geometry and Physics | ELSEVIER SCIENCE BV | Published : 2015

Abstract

We prove combinatorially the explicit relation between genus filtrated s-loop means of the Gaussian matrix model and terms of the genus expansion of the Kontsevich-Penner matrix model (KPMM). The latter is the generating function for volumes of discretized (open) moduli spaces Mg,sdisc given by N (P ,... P ) for (P1,. .,Ps)∈Z+s. This generating function therefore enjoys the topological recursion, and we prove that it is simultaneously the generating function for ancestor invariants of a cohomological field theory thus enjoying the Givental decomposition. We use another Givental-type decomposition obtained for this model by the second authors in 1995 in terms of special times related to the d..

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University of Melbourne Researchers

Grants

Awarded by center of excellence grant "Centre for Quantum Geometry of Moduli Spaces" from the Danish National Research Foundation


Awarded by Russian Foundation for Basic Research


Awarded by Australian Research Council


Funding Acknowledgements

The work of J.E.A., L.O.Ch. and R.C.P. was partially supported by the center of excellence grant "Centre for Quantum Geometry of Moduli Spaces" from the Danish National Research Foundation (DNRF95). The work of L.O.Ch. was supported by the Russian Foundation for Basic Research (Grant Nos. 14-01-00860-a and 13-01-12405-ofi-m2). The work of P.N. was partially supported by the Australian Research Council grant DP1094328.