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Genus-One Correction to Multicut Matrix Model Solutions

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Abstract

We calculate genus-one corrections to the Hermitian one-matrix model solution with an arbitrary number of cuts based on the loop equation, confirming the answer previously obtained from algebro-geometric considerations and generalizing it to the case of arbitrary potentials.

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REFERENCES

  1. J. Ambjørn, L. Chekhov, C. F. Kristjansen, and Yu. Makeenko, Nucl. Phys. B, 404, 127 (1993).

    Google Scholar 

  2. G. Akemann, Nucl. Phys. B, 482, 403 (1996); hep-th/9606004 (1996).

    Google Scholar 

  3. J. Ambjørn and G. Akemann, J. Phys. A, 29, L555 (1996); cond-mat/9606129 (1996).

    Google Scholar 

  4. N. Seiberg and E. Witten, Nucl. Phys. B, 426, 19 (1994); “Erratum,” 430, 485 (1994); hep-th/9407087 (1994).

    Google Scholar 

  5. F. Cachazo, K. Intriligator, and C. Vafa, Nucl. Phys. B, 603, 3 (2001); hep-th/0103067 (2001); F. Cachazo and C. Vafa, “N=1 and N=2 geometry from fluxes,” hep-th/0206017 (2002).

    Google Scholar 

  6. R. Dijkgraaf and C. Vafa, Nucl. Phys. B, 644, 3 (2002); hep-th/0206255 (2002); 644, 21 (2002); hep-th/0207106 (2002); “A perturbative window into non-perturbative physics,” hep-th/0208048 (2002).

    Google Scholar 

  7. A. Klemm, M. Mariño, and S. Theisen, JHEP, 0303, 051 (2003); hep-th/0211216 (2002).

    Google Scholar 

  8. I. K. Kostov, “Conformal field theory techniques in random matrix models,” hep-th/9907060 (1999).

  9. G. W. Moore, Progr. Theoret. Phys. (Suppl.), 102, 255 (1990).

    Google Scholar 

  10. R. Dijkgraaf, A. Sinkovics, and M. Temürhan, Adv. Theor. Math. Phys., 7, 1155 (2004); hep-th/0211241 (2002).

    Google Scholar 

  11. L. Chekhov and A. Mironov, Phys. Lett. B, 552, 293 (2003); hep-th/0209085 (2002).

    Google Scholar 

  12. L. Chekhov, A. Marshakov, A. Mironov, and D. Vasiliev, Phys. Lett. B, 562, 323 (2003); hep-th/0301071 (2003).

    Google Scholar 

  13. Yu. Makeenko, Modern Phys. Lett. A, 6, 1901 (1991).

    Google Scholar 

  14. J. Jurkiewicz, Phys. Lett. B, 245, 178 (1990).

    Google Scholar 

  15. B. Dubrovin and Y. Zhang, Comm. Math. Phys., 198, 311 (1998); hep-th/9712232 (1997).

    Google Scholar 

  16. A. Kokotov and D. Korotkin, “Bergmann tau-function on Hurwitz spaces and its applications,” math-ph/0310008 (2003).

  17. B. Eynard, A. Kokotov, and D. Korotkin, Nucl. Phys. B, 694, 433 (2004); hep-th/0401166 (2004).

    Google Scholar 

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Chekhov, L.O. Genus-One Correction to Multicut Matrix Model Solutions. Theoretical and Mathematical Physics 141, 1640–1653 (2004). https://doi.org/10.1023/B:TAMP.0000049759.01361.79

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  • DOI: https://doi.org/10.1023/B:TAMP.0000049759.01361.79

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