Multiloop generalizations of KLT relations and pure spinor formalism

• Grant number: 19/06047-5
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: July 01, 2019
• End date: July 31, 2019
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Andrey Yuryevich Mikhaylov
• Grantee: Andrey Yuryevich Mikhaylov
• Visiting researcher: Albert Schwarz
• Visiting researcher institution: University of California, Davis (UC Davis), United States
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Associated research grant: 14/18634-9 - Gauge/Gravity duality, AP.TEM

Abstract

Bases on the calculations by Mafra, Schlotterer and Stieberger using pure spinor formalism, S.Mizera made an important observation about tree level string amplitudes: tree level string amplitudes both for closed and open strings can be expressed in terms of twisted homology and cohomology. Professor Schwarz is currently working, in collaboration with S. Mizera and D. Fuchs, on extending these results to multiloop amplitudes. This would be an important step forward. The crucial ingredient, so-called KLT relations, are very useful. For example, the KLT formula in the field theory limit was used, in particular, to derive the information about N=8 supergravity from N=4 super Yang-Mills theory. One should expect that their generalizations for higher genera be also essential. This work is closely related to the research of N. Berkovits and A. Mikhailov from IFT UNESP. Therefore, it would be very useful if Prof. Schwarz comes to IFT and we work out the details together. (AU)