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Exploring Positive Monad Bundles And A New Heterotic Standard Model
 JHEP
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 American Economic Review
, 2006
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Cited by 24 (1 self)
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This report is preliminary and has not been reviewed for conformity with U.S. Geological Survey editorial standards (or with the North American Stratigraphic Code). Any use of trade, product, or firm names is for descriptive purposes only and does not imply endorsement by the U.S. Government.
Quotients of the conifold in compact CalabiYau threefolds, and new topological transitions
 Adv. Theor. Math. Phys
, 2010
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Hyperconifold Transitions, Mirror Symmetry, and String Theory,” 1102.1428. * Temporary entry
"... Multiplyconnected CalabiYau threefolds are of particular interest for both string theorists and mathematicians. Recently it was pointed out that one of the generic degenerations of these spaces (occurring at codimension one in moduli space) is an isolated singularity which is a finite cyclic quoti ..."
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Multiplyconnected CalabiYau threefolds are of particular interest for both string theorists and mathematicians. Recently it was pointed out that one of the generic degenerations of these spaces (occurring at codimension one in moduli space) is an isolated singularity which is a finite cyclic quotient of the conifold; these were called hyperconifolds. It was also shown that if the order of the quotient group is even, such singular varieties have projective crepant resolutions, which are therefore smooth CalabiYau manifolds. The resulting topological transitions were called hyperconifold transitions, and change the fundamental group as well as the Hodge numbers. Here Batyrev’s construction of CalabiYau hypersurfaces in toric fourfolds is used to demonstrate that certain compact examples containing the remaining hyperconifolds — the Z3 and Z5 cases — also have CalabiYau resolutions. The mirrors of the resulting transitions are studied and it is found, surprisingly, that they are ordinary conifold transitions. These are the first examples of conifold transitions with mirrors which are more exotic extremal transitions. The new hyperconifold transitions are also used to construct a small number of new CalabiYau manifolds, with small Hodge numbers and fundamental group Z3 or Z5. Finally, it is demonstrated that a hyperconifold is a physically sensible background in Type IIB string theory. In analogy to the conifold case, nonperturbative dynamics smooth the physical moduli space, such that hyperconifold transitions correspond to nonsingular processes in the full theory.
Contents
, 1994
"... This report describes a synthesis of two wellknown agent paradigms: AgentOriented ..."
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This report describes a synthesis of two wellknown agent paradigms: AgentOriented
Context and Content
, 1999
"... Additional copies are available for $20 per copy. Orders must be placed through CLIR’s Web site. The paper in this publication meets the minimum requirements of the American National Standard for Information ..."
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Additional copies are available for $20 per copy. Orders must be placed through CLIR’s Web site. The paper in this publication meets the minimum requirements of the American National Standard for Information
Moduli Stabilisation in Heterotic Models with Standard Embedding
 JHEP 1001 (2010) 011, [arXiv:0911.2311
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An Algorithmic Approach to String Phenomenology
 MODERN PHYSICS LETTERS A
, 2010
"... We review the recent programme undertaken to construct, systematically and algorithmically, large classes of heterotic vacua, as well as the search for the MSSM therein. Specifically, we outline the monad construction of vector bundles over complete intersection CalabiYau threefolds, their classi ..."
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We review the recent programme undertaken to construct, systematically and algorithmically, large classes of heterotic vacua, as well as the search for the MSSM therein. Specifically, we outline the monad construction of vector bundles over complete intersection CalabiYau threefolds, their classification, stability, equivariant cohomology and subsequent relevance to string phenomenology. It is hoped that this topdown algorithmic approach will isolate special corners in the heterotic landscape.