skip to content
 

Super Weyl invariance: BPS equations from heterotic worldsheets

Presented by: 
S Groot Nibbelink Ludwig-Maximilians-Universität München
Date: 
Thursday 28th June 2012 - 16:15 to 16:30
Venue: 
INI Seminar Room 1
Abstract: 
It is well-known that the beta functions on a string worldsheet correspond to the target space equations of motion, e.g. the Einstein equations. We show that the BPS equations, i.e. the conditions of vanishing supersymmetry variations of the space-time fermions, can be directly derived from the worldsheet. To this end we consider a heterotic worldsheet model in the RNS-formulation with (2,0) supersymmetry, which describes a complex torsion target space that supports a holomorphic vector bundle. After a detailed account of its quantization and renormalization, we establish that super Weyl anomaly cancellation implies the heterotic BPS conditions: At the one loop level the geometry is required to be conformally balanced and the gauge background has to satisfy the Hermitean Yang-Mills equations.
The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.
Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons