Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence

Details Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence

2008-02-13

arxiv.org/abs/0802.1788v1

JHEP 0903:003,2009

Physics

Mathematical Physics

23 pages, Latex

Scientific paper

10.1088/1126-6708/2009/03/003

We propose an asymptotic expansion formula for matrix integrals, including oscillatory terms (derivatives of theta-functions) to all orders. This formula is heuristically derived from the analogy between matrix integrals, and formal matrix models (combinatorics of discrete surfaces), after summing over filling fractions. The whole oscillatory series can also be resummed into a single theta function. We also remark that the coefficients of the theta derivatives, are the same as those which appear in holomorphic anomaly equations in string theory, i.e. they are related to degeneracies of Riemann surfaces. Moreover, the expansion presented here, happens to be independent of the choice of a background filling fraction.

Affiliated with

Also associated with

No associations

Rating

Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-676567