Jae-Suk Park

Holomorphic Yang-Mills theory on compact Kähler manifolds

Abstract We propose N =2 holomorphic Yang-Mills theory on compact Kahler manifolds and show that there exists a simple mapping from the N =2 topological Yang-Mills theory. It follows that intersection parings on the moduli space of Einstein-hermitianconnections can be determined by examining the small-coupling behavior of the N =2 holomorphic Yang-Mills theory. This paper is a higher-dimensional generalization of Wittens work on physical Yang-Mills theory in two dimensions.

N = 2 Topological Yang-Mills Theories and Donaldson's Polynomials

The N = 2 topological Yang-Mills and holomorphic Yang-Mills theories on simply connected compact Kahler surfaces with pg ≥ 1 are re-examined. The N = 2 symmetry is clarified in terms of a Dolbeault model of the equivariant cohomology. We realize the non-algebraic part of Donaldsons polynomial invariants as well as the algebraic part. We calculate Donaldsons polynomials on H2,0 (S, Z) ⊕ H0,2 (S, Z).

Semi-Classical Quantum Fields Theories and Frobenius Manifolds

We show that a semi-classical quantum field theory comes with a versal family with the property that the corresponding partition function generates all path integrals., satisfies a system of second order differential equations determined by algebras of classical observables. This versal family gives rise to a notion of special coordinates that is analogous to that in string theories. We also show that for a large class of semi-classical theories, their moduli space has the structure of a Frobenius super-manifold.

The PHENIX Multiplicity and Vertex Detector

Abstract We describe the design and expected performance of the PHENIX Multiplicity and Vertex Detector (MVD) sub-system of the PHENIX detector at the Relativistic Heavy Ion Collider (RHIC).

Complex geometrical interpretation of BRST algebra in topological Yang-Mills theory

Abstract We show that the BRST and anti-BRST algebra can be obtained by constructing a complex vector bundle over (M × X), where M is the real four-manifold and X an additional complex manifold. Wittens BRST algebra is derived from a hermitian holomorphic vector bundle, and the complex manifold X can be identified with the instanton moduli space.

Topological sigma B model in 4-dimensions

We propose a 4-dimensional version of topological sigma B-model, governing maps from a smooth compact 4-manifold M to a Calabi-Yau target manifold X. The theory depends on complex structure of X, while is independent of Kahler metric of X. The theory is also a 4-dimensional topological field theory in the sense that the theory is independent of variation of Riemannian metric of the source 4-manifold M, potentially leading to new smooth invariant of 4-manifolds. We argue that the theory also comes with a topological family parametrized by the extended moduli space of complex structures.

Simulations of the performance of the MVD in PHENIX

The PHENIX Multiplicity Vertex Detector (MVD) provides event characterization, a centrality trigger, collision vertex position, and measures fluctuations in charged particle multiplicities. The design criteria include a large rapidity coverage, good azimuthal coverage and granularity, minimizing material in the electron arm acceptance, and minimizing costs. The MVD contains two concentric barrels of Si strip detectors with two disk-shaped Si pad detector endcaps. Simulations show that the vertex position can be located to within a few hundred microns using hits in the barrels. A channel multiplicity signal is formed for use in the Level-1 trigger. The effect of the expected discriminator performance on this trigger signal will be shown. The pad and strip detectors are read-out with identical electronics. The influence of the performance of the electronics on the detectors performance are discussed.