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High Energy Theory artwork
March 23, 20233:30 pm – 5:00 pm (CDT)

Fundamental Membranes and the String Dilaton


Hermann Nicolai (Max Planck Institute)



Mitchell Institute for Fundamental Physics & Astronomy

College Station, Texas 77843

Event Details

The quantization of the bosonic sector of supermembrane theory is considered in double dimensional reduction, in order to extract the dependence of the resulting world-sheet action on the string dilaton (which cannot be obtained from a purely kinematic reduction). The construction relies on a Polyakov-type approach with all six metric components on the world-volume as independent quantum fields, and shows that the correct and unique answer is only obtained if the target-space dimension of the theory is restricted  to the critical value (D=11 for the supermembrane). As a consequence there do not appear to exist membrane analogs of the non-critical string.

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