14 research outputs found
On the spectra of -cosets and gravities
We study the spectra of G/G coset models by computing BRST cohomology of
affine Lie algebras with coefficients in tensor product of two modules.
One-to-one correspondence between the spectra of and that of the
minimal matter coupled to gravity (including boundary states of the Kac table)
is observed. This phenomena is discussed from the point of hamiltonian
reduction of BRST complexes of Lie algebras. (In the revised version
one proof is modified and examplified, some misprints are corrected.)Comment: 16 page
Theory of K\"ahler Gravity
In this paper we discuss the connection on a space of TCFT's that
appears in the context of background (in)dependence. We formulate a family of
{\it target space field theories} with a similar connection on it. Each theory
is a gauge theory (with the gauge group being in the case of
-fold). It describes deformations of K\"ahler structures much like Kodaira
Spencer theory describes deformations of the complex structures. It is
manifestly background independent. It appears to be a target space field theory
for supersymmetric quantum mechanics
Quantum cohomology of partial flag manifolds
We compute the quantum cohomology rings of the partial flag manifolds
F_{n_1\cdots n_k}=U(n)/(U(n_1)\times \cdots \times U(n_k)). The inductive
computation uses the idea of Givental and Kim. Also we define a notion of the
vertical quantum cohomology ring of the algebraic bundle. For the flag bundle
F_{n_1\cdots n_k}(E) associated with the vector bundle E this ring is found.Comment: 33 page
On Four-Dimensional Compactifications of F-Theory
Branches of moduli space of F-theory in four dimensions are investigated. The
transition between two branches is described as a 3-brane-instanton transition
on a 7-brane. A dual heterotic picture of the transition is presented and the
F-theory - heterotic theory map is given. The F-theory data - complex structure
of the Calabi-Yau fourfold and the instanton bundle on the 7-brane is mapped to
the heterotic bundle on the elliptic Calabi-Yau threefold CY_3. The full moduli
space has a web structure which is also found in the moduli space of
semi-stable bundles on . Matter content of the four-dimensional theory is
discussed in both F-theory and heterotic theory descriptions.Comment: 40 pages, TeX, references added, minor changes in Section