On the super Mumford form in the presence of Ramond and Neveu-Schwarz punctures

Loading...
Thumbnail Image

Persistent link to this item

Statistics
View Statistics

Journal Title

Journal ISSN

Volume Title

Title

On the super Mumford form in the presence of Ramond and Neveu-Schwarz punctures

Published Date

2019-07

Publisher

Type

Thesis or Dissertation

Abstract

We generalize the result of Voronov (1988) to give an expression for the super Mumford form on the moduli spaces of super Riemann surfaces with Ramond and Neveu–Schwarz punctures. In the Ramond case we take the number of punctures to be large compared to the genus. We consider for the case of Neveu-Schwarz punctures the super Mumford form over the component of the moduli space corresponding to an odd spin structure. The super Mumford form can be used to create a measure whose integral computes scattering amplitudes of superstring theory. We express it in terms of local bases of global sections of tensor powers of the Berezinian line bundle of a family of super Riemann surfaces.

Description

University of Minnesota Ph.D. dissertation. JUly 2019. Major: Mathematics. Advisor: Alexander Voronov. 1 computer file (PDF); v, 98 pages.

Related to

Replaces

License

Collections

Series/Report Number

Funding information

Isbn identifier

Doi identifier

Previously Published Citation

Other identifiers

Suggested citation

Diroff, Daniel. (2019). On the super Mumford form in the presence of Ramond and Neveu-Schwarz punctures. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/206672.

Content distributed via the University Digital Conservancy may be subject to additional license and use restrictions applied by the depositor. By using these files, users agree to the Terms of Use. Materials in the UDC may contain content that is disturbing and/or harmful. For more information, please see our statement on harmful content in digital repositories.