Obtaining heterotic string theories via orbifold compactification of M-theory at the level of fully non-abelian actions for multiple M2-branes.
Lead Research Organisation:
King's College London
Department Name: Mathematics
Abstract
The broader topic of my work is M-theory, and theories of multiple membranes. The starting point of my first project was the continuation of some work of my supervisor, Neil Lambert, from 2015 concerning obtaining the HE string theory from M-theory in the context of a theory of multiple M2-branes (ABJM theory) (Lambert, 2015). Analysis of this work made me familiar with the theory and its interpretation, and also opened some new avenues of discussion. The main topic going forward is to discover how the ideas of GSO projections and worldsheet spin structures arise in M-theory, since these ideas are key to differentiating between The HE and the non-supersymmetric SO(16)xSO(16) heterotic strings (Alvarez-Gaume et al., 1986), and also between the Type II and Type 0 strings. In particular, it would be interesting to see if there is a straightforward and tidy way in which to find the SO(16)xSO(16) theory within M-theory, in analogy with existing work finding the Type 0 theories in M-theory.
Another potential future project involves instant operators in five-dimensional gauge theories.
Another potential future project involves instant operators in five-dimensional gauge theories.
Organisations
Studentship Projects
Project Reference | Relationship | Related To | Start | End | Student Name |
---|---|---|---|---|---|
ST/N504361/1 | 01/10/2015 | 30/09/2020 | |||
2026568 | Studentship | ST/N504361/1 | 01/10/2017 | 30/06/2021 | Rishi Mouland |
ST/R504841/1 | 01/10/2017 | 30/09/2021 | |||
2026568 | Studentship | ST/R504841/1 | 01/10/2017 | 30/06/2021 | Rishi Mouland |
Description | Mentor for the King's Certificate scheme at King's College London Maths School |
Form Of Engagement Activity | Participation in an activity, workshop or similar |
Part Of Official Scheme? | No |
Geographic Reach | Regional |
Primary Audience | Schools |
Results and Impact | For the last two academic years I have been a mentor in the King's Certificate scheme at King's College London Maths School, a specialist state sixth form college in south London. I meet with a group of 4 students periodically through the year, and provide them with materials to complete a project entitled "A Beginner's Guide to String Theory" |
Year(s) Of Engagement Activity | 2018,2019,2020 |
URL | https://nms.kcl.ac.uk/rishi.mouland/kclms/ |