We construct more dual pairs of type II-heterotic strings in four dimensions with N = 2, 1 spacetime supersymmetry. On the type II side the construction utilizes the various possible choices of K3 automorphisms with fixed points which transform the holomorphic two-form nontrivially, and rotation plus translation on T 2 . The CalabiYau orbifolds so obtained have non-zero Euler numbers, so quantum corrections exist on the type IIA strings. The heterotic string (asymmetric) orbifold duals are found which depend on going to the enhanced symmetry points. Some aspects of the construction are discussed including the role of the singularity and the possibility of going beyond the adiabatic argument. Many of these examples have also orientifold analogs.
Based on the configuration-space generating functional obtained by using the Faddeev-Popov trick for a gauge-invariant system, the Ward identities for global transformation are derived. The conservation laws at the quantum level for global symmetry transformation are also deduced. A preliminary application of the present formulation to non-Abelian Chem-Simons (CS) theory is given. The Ward identity and quantal BRS charge under the BRS transformation are deduced. The quantal conserved angular momentum is obtained and the fractional spin for CS theories is discussed.
We propose a configuration of D-branes welded by analogous orbifold operation to be responsible for the enhancement of SO(2N) gauge symmetry in type II string compactified on the D n -type singular limit of K3. Evidences are discussed from the D n -type ALE and D-manifold point of view. A subtlety regarding the ability of seeing the enhanced SO(2N) gauge symmetry perturbatively is briefly addressed.⋆ On leave from Zhejiang University, China
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