Geometry and Quantum Symmetries of Superstring Vacua [PDF]
We report on some recent progress which has been made in the understanding of general features of superstring compactifications. The following aspects are discussed: special geometry of the moduli space of (2,2) vacua, target-space duality symmetries, differential equations for the periods of holomorphic three-forms, and higher loop (genus) string ...
S. Ferrara
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Non-Compact Current Algebras and Heterotic Superstring Vacua
It has been shown that a four dimensional finite and consistent superstring theory [1] can be constructed by combining any 2-dimensional superconformai field theory with a central charge c=9 with a superstring propagating in flat 4-dimensional Minkowski space-time.
Itzhak Bars
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Quaternionic manifolds for type II superstring vacua of Calabi-Yau spaces [PDF]
Abstract In type II theories compactified on Calabi-Yau manifolds the moduli fields are accompanied by (Ramond-Ramond) scalar superpartners. N = 2 space-time supersymmetry requires the low-energy effective mutual interaction of these excitations be described by a quaternionic σ-model in target space.
S. Ferrara, S. Sabharwal
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Spontaneous splitting and internal isometries of superstring vacua
Superstring vacua are normally presumed to be of the form M×K, where dim(M)=4, dim(K)=6, and where × denotes the global Riemannian product. Since, however, one would ultimately wish to understand the external/internal distinction in terms of some dynamical mechanism (‘‘spontaneous splitting’’) involving vacuum expectation values of local fields, it may
Brett McInnes
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Heterotic superstring vacua in four dimensions based on non-compact affine current algebras
Abstract New classes of unitary conformal and superconformal theories based on cosets of affine non-compact current algebras are suggested. Unitarity restrictions and the structure of the modules labelled by the primary states are discussed in general terms as well as in detail for SU (1,1)/ U (1), SU (N,M)/ SU (N) × SU (M) × U (1)
Itzhak Bars
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Properties of superstring vacua from (topological) Landau-Ginzburg models
Shing‐Tung Yau
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(2,2) SUPERCONFORMAL FIELD THEORIES AND THE CLASSIFICATION OF N=1,D=4 HETEROTIC SUPERSTRING VACUA
Leonardo Castellani +2 more
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(2, 2) VACUA OF THE HETEROTIC SUPERSTRING COMPACTIFIED ON SU(2)3 GROUPFOLDS
In this paper we classify the (2, 2) superstring vacua corresponding to non-linear σ-models on SU (2)3 groupfolds fermionized by 18 + 18 Majorana fermions. For the subclass of the completely bosonizable vacua, the generation number ½X is a multiple of 12 and the number of tangent-bundle deformations End(T) is a multiple of 4.
Leonardo Castellani +3 more
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A search for exact superstring vacua [PDF]
We investigate $2d$ sigma-models with a $2+N$ dimensional Minkowski signature target space metric and Killing symmetry, specifically supersymmetrized, and see under which conditions they might lead to corresponding exact string vacua. It appears that the issue relies heavily on the properties of the vector $M_ $, a reparametrization term, which needs ...
A. Peterman, A. Zichichi
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Symmetries on the Space of (2, 2) Superstring Vacua and Automorphism Groups of Calabi-Yau Manifolds [PDF]
Symmetry groups on the space of (2,2) string vacua for c = 3,6,9 are discussed in the context of orbifoldized Landau-Ginzburg theories. A general method for finding the maximal symmetry groups on the moduli space of untwisted marginal operators is presented, by studying symmetries on the resolution of isolated singularities of superpotentials ...
Amit Giveon, Dirk-Jan Smit
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