70 research outputs found
String and Vortex
We discuss how the geometry of - branes may be related to
Gromov-Witten theory of Calabi-Yau threefolds.Comment: 31 page
Duality of Orbifoldized Elliptic Genera
We discuss duality and mirror symmetry phenomena of Landau-Ginzburg orbifolds
considering their elliptic genera. Under the duality (or mirror) transform
performed by orbifoldizing the Landau-Ginzburg model via some discrete group of
the superpotential we observe that the roles of the untwisted and twisted
sectors are exchanged. As explicit evidence detailed orbifold data are
presented for minimal models, Arnold's exceptional singularities,
surfaces constructed from Arnold's singularities and Fermat hypersurfaces. (To
appear in the proceedings of the workshop, ``Quantum Field Theory, Integrable
Models and Beyond'', Yukawa Institute for Theoretical Physics, Kyoto
University, 14-18 February 1994.)Comment: 27(portrait)+3(landscape) pages, LaTeX, KEK-TH-409. (one reference
added
Higher-Rank Supersymmetry and Topological Field Theory
The minimal superconformal model can be twisted yielding an example of
topological conformal field theory. In this article we investigate a Lie
theoretic extension of this process.Comment: 10 page
Twisted Elliptic Genera of N=2 SCFTs in Two Dimensions
The elliptic genera of two-dimensional N=2 superconformal field theories can
be twisted by the action of the integral Heisenberg group if their U(1) charges
are fractional. The basic properties of the resulting twisted elliptic genera
and the associated twisted Witten indices are investigated with due attention
to their behaviors in orbifoldization. Our findings are illustrated by and
applied to several concrete examples. We give a better understanding of the
duality phenomenon observed long before for certain Landau-Ginzburg models. We
revisit and prove an old conjecture of Witten which states that every ADE
Landau-Ginzburg model and the corresponding minimal model share the same
elliptic genus. Mathematically, we establish ADE generalizations of the
quintuple product identity.Comment: 28 pages; v2 refs adde
Elliptic Genera of N=2 Hermitian Symmetric Space Models
Expressions are given for the elliptic genera of the Kazama-Suzuki models
associated with hermitian symmetric spaces when the problems of field
identifications are absent. We use the models' known Coulomb gas descriptions.Comment: 10 pages, LaTeX, KEK-TH-40
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