Browsing by Subject "M-theory"
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Item The deconstruction of orbifold fixed points in heterotic M-theory(2016-08) Claussen, Jacob Cole; Kaplunovsky, Vadim; Distler, Jacques; Fischler, Willy; Neitzke, Andrew; Paban, SoniaThe compactification of E8 X E8 heterotic string theory on orbifolds of the form T6=ZN produces a 4D spectrum of untwisted states and twisted states. Unlike the untwisted states, the twisted states are confined to the fixed points of the ZN action and can be charged under subgroups of both E8 gauge groups simultaneously. While insignificant in the string theory case, dualizing to heterotic M-theory yields a peculiar phenomenon. Specifically, in heterotic M-theory the E8 gauge groups are isolated from each other by an extra dimension with 11D supergravity in the bulk between them. Determining how states can be charged across this bulk becomes a highly nontrivial problem to solve. We propose a procedure that utilizes deconstruction to probe these fixed points and build the appropriate states in the continuum limit. We then analyze and apply this procedure to the Z3, Z4, Z6-I, and Z7 orbifolds.Item Tinkertoys for Gaiotto duality(2011-08) Chacaltana Alarcon, Oscar Chacaltana; Distler, Jacques; Kaplunovsky, Vadim; Paban, Sonia; Fischler, Willy; Freed, DanielWe describe a procedure for classifying 4D N=2 superconformal theories of the type introduced by Davide Gaiotto. Any punctured curve, C, on which the 6D (2,0) SCFT is compactified, may be decomposed into 3-punctured spheres, connected by cylinders. The 4D theories, which arise, can be characterized by listing the ``matter" theories corresponding to 3-punctured spheres, the simple gauge group factors, corresponding to cylinders, and the rules for connecting these ingredients together. Different pants decompositions of C correspond to different S-duality frames for the same underlying family of 4D \mathcal{N}=2 SCFTs. We developed such a classification for the A_{N-1} and the D_N series of 6D (2,0) theories. We outline the procedure for general A_{N-1} and D_N, and construct, in detail, the classification through A_4 and D_4, respectively.