scholarly journals Special geometry on the moduli space for the two-moduli non-Fermat Calabi–Yau

2018 ◽  
Vol 776 ◽  
pp. 139-144 ◽  
Author(s):  
Konstantin Aleshkin ◽  
Alexander Belavin
Keyword(s):  
Moduli Space ◽  
Special Geometry

scholarly journals CALABI–YAU MODULI SPACE, SPECIAL GEOMETRY AND MIRROR SYMMETRY

1991 ◽  
Vol 06 (24) ◽  
pp. 2175-2180 ◽  
Author(s):  
S. FERRARA
Keyword(s):  
Superstring Vacua ◽  
Moduli Space ◽  
Mirror Symmetry ◽  
Deformation Theory ◽  
Space Time ◽  
Superconformal Symmetry ◽  
Special Geometry

We review some aspects of the geometry of the moduli space of superstring vacua with (2, 2) superconformal symmetry, its connection with the deformation theory of holomorphic three forms and its relation to space-time supersymmetry.

scholarly journals HIDDEN SYMMETRIES, SPECIAL GEOMETRY AND QUATERNIONIC MANIFOLDS

1994 ◽  
Vol 03 (01) ◽  
pp. 31-47 ◽  
Author(s):  
B. DE WIT ◽  
A. VAN PROEYEN
Keyword(s):  
Sigma Models ◽  
Moduli Space ◽  
Dimensional Reduction ◽  
Ground States ◽  
Hidden Symmetries ◽  
Special Geometry ◽  
Symmetry Structure ◽  
Quaternionic Manifolds ◽  
Real Complex

The moduli space of the Calabi-Yau three-folds, which play a role as superstring ground states, exhibits the same special geometry that is known from nonlinear sigma models in N=2 supergravity theories. We discuss the symmetry structure of special real, complex and quaternionic spaces. Maps between these spaces are implemented via dimensional reduction. We analyze the emergence of extra and hidden symmetries. This analysis is then applied to homogeneous special spaces and the implications for the classification of homogeneous quaternionic spaces are discussed.

scholarly journals SPECIAL GEOMETRY AND TWISTED MODULI IN ORBIFOLD THEORIES WITH CONTINUOUS WILSON LINES

1996 ◽  
Vol 11 (16) ◽  
pp. 1307-1316
Author(s):  
W.A. SABRA ◽  
S. THOMAS ◽  
N. VANEGAS
Keyword(s):  
Moduli Space ◽  
Wilson Line ◽  
Dimensional Subspace ◽  
Higher Order ◽  
Target Space ◽  
Tree Level ◽  
Two Dimensional ◽  
Duality Transformation ◽  
Special Geometry ◽  
Higher Order Terms

Target space duality symmetries, which acts on Kähler and continuous Wilson line moduli, of a ZN (N≠2) two-dimensional subspace of the moduli space of orbifold compactification are modified to include twisted moduli. These spaces described by the cosets [Formula: see text] are special Kähler, a fact which is exploited in deriving the extension of tree level duality transformation to include higher orders of the twisted moduli. Also, restrictions on these higher order terms are derived.

Topology of the quantum modified moduli space

2001 ◽  
Vol 15 (4) ◽  
pp. 279-289
Author(s):  
S. L. Dubovsky
Keyword(s):  
Moduli Space

A Primer on Mapping Class Groups (PMS-49)

2017 ◽  
Author(s):  
Benson Farb ◽  
Dan Margalit
Keyword(s):  
Graduate Students ◽  
Moduli Space ◽  
Riemann Surfaces ◽  
Class Group ◽  
Mapping Class ◽  
Torelli Group ◽  
Surface Bundles ◽  
Surface Homeomorphisms ◽  
Low Dimensional

The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. It begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn–Nielsen–Baer–theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichmüller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification.

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