Partition Sums and Entropy Bounds in Weakly Coupled CFT
David Kutasov, Finn Larsen
TL;DR
This paper investigates the thermodynamics of weakly coupled conformal field theories in higher dimensions using partition functions, revealing modular properties that influence entropy bounds and finite volume corrections.
Contribution
It introduces a novel analysis of partition functions on S^1 x S^n in weak coupling limits, connecting modular properties to entropy bounds in higher-dimensional CFTs.
Findings
Modular properties of partition functions help determine finite volume corrections.
High temperature thermodynamics of 4D and 6D CFTs are characterized.
Insights into entropy bounds in conformal field theories are provided.
Abstract
We use the partition functions on S^1 x S^n of various conformal field theories in four and six dimensions in the limit of vanishing coupling to study the high temperature thermodynamics. Certain modular properties exhibited by the partition functions help to determine the finite volume corrections, which play a role in the discussion of entropy bounds.
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Taxonomy
TopicsGeotechnical Engineering and Underground Structures · Seismic Imaging and Inversion Techniques · Geotechnical Engineering and Soil Mechanics