Calculating endomorphism valued cohomology: Singlet spectrum in superstring models |
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| Authors: | Jacques Distler Brian R. Greene Kelley Kirklin Paul Miron |
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| Affiliation: | (1) F. R. Newman Laboratory of Nuclear Science, Cornell University, 14853 Ithaca, NY, USA;(2) Lyman Laboratory of Physics, Harvard University, 02138 Cambridge, MA, USA;(3) Swaps Department, County NatWest, Drapers Gardens, London, UK;(4) Present address: Derivative Products Group, Bankers Trust Company, New York, NY, USA |
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| Abstract: | We present a computational strategy based on exact sequences for determining the dimension of endomorphism valued cohomology groups for complete intersections in complex projective space. This cohomology group gives rise to part of the gauge singlet spectrum in superstring compactifications. We establish the underlying justification for the known deformation theoretical algorithm, and by comparison with the exact sequence method, indicate its limitations.Work supported in part by NSF contract PHY-82-09011Work supported in part by an NSF Postdoctoral Fellowship and DOE contract DE-FG02-88ER25065Work supported in part by NSF contract PHY-82-15249 |
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