J
Jim McCarthy
Researcher at University of Adelaide
Publications - 39
Citations - 764
Jim McCarthy is an academic researcher from University of Adelaide. The author has contributed to research in topics: BRST quantization & Cohomology. The author has an hindex of 17, co-authored 39 publications receiving 752 citations. Previous affiliations of Jim McCarthy include Brandeis University.
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Quantum group structure in the Fock space resolutions of $$\widehat{sl}(n)$$ representations
TL;DR: In this article, a complex of Wakimoto-type Fock space modules for affine Kac-Moody algebra is described and the intertwining operators that build the complex are obtained from contour integrals of so-called screening operators.
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Free Field Approach to 2-Dimensional Conformal Field Theories
TL;DR: In this article, the authors review various aspects of the free field approach to (rational) Conformal Field theories and discuss resolutions of irreducible modules in terms of free field Fock spaces for WZNW-models and their coset models.
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Free field realizations of WZNW models. The BRST complex and its quantum group structure
TL;DR: In this article, the BRST complex for the Wakimoto type free field realization of sl (3), using as a guide the analogous complex which arises in the study of the finite dimensional algebra, was derived.
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Polynomial formulations and renormalizability in quantum gravity
TL;DR: In this article, the authors trace the non-renormalizability of quantum gravity to a mismatch between the symmetries of its quadratic and cubic terms, which makes this ostensibly renormalizable system ill-defined about zero vacuum, and forces the usual expansion of the metric about a background.
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Fock space resolutions of the Virasoro highest weight modules with c ≤ 1
TL;DR: In this paper, the authors extend Felder's construction of Fock space resolutions for the Virasoro minimal models to all irreducible modules with c≤1, in particular, for the representations corresponding to the boundary and exterior of the Kac table.