The one-loop determinants for vector multiplets scale as (v1 chi_V)^{1/4} per multiplet, physical hypermultiplets give the inverse, and these combine into logarithmic corrections to AdS4 black hole entropy with an undetermined gravity-multiplet coefficient a0.
The Geometry of Supersymmetric Gauge Theories in Four Dimensions
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abstract
We review the relations between (twisted) supersymmetric gauge theories in four dimensions and moduli problems in four-dimensional topology, and we study in detail the non-abelian monopole equations from this point of view. The relevance of exact results in N=1 and N=2 supersymmetric gauge theories to the computation of topological invariants is emphasized. Some background material is provided, including an introduction to Donaldson theory, the twisting procedure and the Mathai-Quillen formalism.
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One-loop determinants for black holes in 4d gauged supergravity
The one-loop determinants for vector multiplets scale as (v1 chi_V)^{1/4} per multiplet, physical hypermultiplets give the inverse, and these combine into logarithmic corrections to AdS4 black hole entropy with an undetermined gravity-multiplet coefficient a0.