University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > On integration over the supermoduli space of curved. A joint work with with Giovanni Felder and Alexander Polishchuk

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹ️ Information

On integration over the supermoduli space of curved. A joint work with with Giovanni Felder and Alexander Polishchuk

Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

NC2W02 - Crossing the bridge: New connections in number theory and physics

The partition function in perturbative Superstring Theory is presented as a series PgIgg where Ig =RSgµg is the integral over the supermoduli space Sg of supercurves of genus g, where µg is a supermeasure on Sg coming from the holomorphic Mumford’s form. The supermeasure µg is known to be continuous only for g ≤ 11 but even in this range there is a difficulty with a rigorous definition of the integral RSg µg. The main problem comes from the existence of the second order pole of the measure µg at the divisor at ∞. By choosing a cutofffunction ρ one can define the regularized integral Ig(ρ) but apriori it depends on a choice of a cutoff function. In the case when g = 2 we define a class C of cutoff functions ρ such that I2(ρ) does not depend on a choice of ρ ∈ C.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

ffffff, Mill Lane Lecture Rooms FW11 - William Gates Building Future Business Centre, King’s Hedges Road, Cambridge, CB4 2HY

Other talks

Zooming in on the assembly of galaxies in the early Universe Title to be confirmed The physics of decision: how competitive systems compute, route, and remember Title to be confirmed Think Before you Speak: Next Gen LLMs with Global Reasoning and External Memory Online Causal Inference Seminar
 

© 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity