@MISC{Lapan08by, author = {Joshua Michael Lapan}, title = {by}, year = {2008} }

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Abstract

iv ter 5, where we implicitly construct a worldsheet CFT as the IR limit of an N = 2 gauge theory. Spacetime torsion (non-Kählerity) is incorporated via a two-dimensional Green-Schwarz mechanism in which a doublet of axions cancels the gauge anomaly. We also argue that these models are smoothly extendable to solutions of the exact beta-function equations. By string dualities, these solutions provide a microscopic description of certain type IIB RR-flux vacua. Finally, in chapter 6 we use recent developments to argue that there exists a holographic dual for the CFT living on a stack of N heterotic strings in R 4,1 × T 5; this should also be describable by an exact worldsheet CFT. We use supergravity to show that the global supergroup of the background is Osp(4 ∗ |4), with an affine extension given, surprisingly, by a nonlinear, N = 8 superconformal algebra. We also suggest a correspondence between supergroups with 16 supercharges and T n compactification with 0 ≤ n ≤ 7.Contents