PIRSA:09100098

Stability Walls in Heterotic Theories

Gray, J. (2009). Stability Walls in Heterotic Theories. Perimeter Institute. https://pirsa.org/09100098

Gray, James. Stability Walls in Heterotic Theories. Perimeter Institute, Oct. 06, 2009, https://pirsa.org/09100098 

          @misc{ pirsa_PIRSA:09100098,
            doi = {10.48660/09100098},
            url = {https://pirsa.org/09100098},
            author = {Gray, James},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Stability Walls in Heterotic Theories},
            publisher = {Perimeter Institute},
            year = {2009},
            month = {oct},
            note = {PIRSA:09100098 see, \url{https://pirsa.org}}
          }

James Gray

University of Oxford

Talk number
PIRSA:09100098
Collection
Talk Type
Subject
Abstract
We study the sub-structure of heterotic Kahler moduli space due to the presence of non-Abelian internal gauge fields from the perspective of the four-dimensional effective theory. Internal gauge fields can be supersymmetric in some regions of Kahler moduli space but break supersymmetry in others. In the context of the four-dimensional theory, we investigate what happens when the Kahler moduli are changed from the supersymmetric to the non-supersymmetric region. Our results provide a low-energy description of supersymmetry breaking by internal gauge fields as well as a physical picture for the mathematical notion of bundle stability. Specifically, we find that at the transition between the two regions an additional anomalous U(1) symmetry appears under which some of the states in the low-energy theory acquire charges. We compute the associated D-term contribution to the four-dimensional potential which contains a Kahler modulus dependent Fayet-Iliopoulos term and contributions from the charged states. We show that this Dterm correctly reproduces the expected physics. Several mathematical conclusions concerning vector bundle stability are drawn from our arguments. We also discuss possible physical applications of our results to heterotic model building and moduli stabilisation.