Document Type
Article
Date
10-29-2010
Language
English
Disciplines
Physics
Description/Abstract
Review recent approaches to constructing supersymmetric lattice theories focusing in particular on the concept of topological twisting. The latter technique is shown to expose a nilpotent, scalar supersymmetry which can be implemented exactly in the lattice theory. Using these ideas a lattice action for \cN=4 super Yang-Mills in four dimensions can be written down which is gauge invariant, free of fermion doublers and respects one out of a total of 16 continuum supersymmetries. It is shown how these exact symmetries together with the large point group symmetry of the lattice strongly constrain the possible counterterms needed to renormalize the theory and hence determine how much residual fine tuning will be needed to restore all supersymmetries in the continuum limit. We report on progress to study these renormalization effects at one loop. We go on to give examples of applications of these supersymmetric lattice theories to explore the connections between gauge theories and gravity.
Recommended Citation
Catterall, Simon, "Twisted Lattice Supersymmetry and Applications to AdS/CFT" (2010). Physics - All Scholarship. 430.
https://surface.syr.edu/phy/430
Source
Harvested from Arxiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
16 pages. Plenary talk at Lattice 2010 More information at http://arxiv.org/abs/1010.6224