Speaker
Description
DLCQ limits are BPS decoupling limits that zoom in to the dynamics close to certain BPS momentum states.They are of immense importance in string and M-theory as they are related by U-duality to the AdS/CFT correspondence, matrix theories and non-relativistic string theory. In this talk we introduce twisted BPS decoupling limits for BPS states in curved backgrounds such as AdS$_5\times S^5$. Unlike DLCQ limits, they involve a BPS state corresponding to a momentum along a globally twisted fiber in a fiber bundle. Zooming in to string fluctuations above the BPS state reveals a non-relativistic sigma-model for which the emergent non-Lorentzian target space has a natural symplectic structure, in line with the recent realization that BPS decoupling limits are associated with non-Lorentzian geometry. Twisted BPS decoupling limits can be introduced for D-branes as well, probing a non-Lorentzian geometry that includes the same symplectic structure as the string. For AdS$_5 \times S^5$ in the global patch, these limits are dual to Spin Matrix theory limits of $\mathcal{N}=4$ super Yang-Mills theory.
