Phillip Szepietowski

High-Temperature Expansion of Supersymmetric Partition Functions

A bstractDi Pietro and Komargodski have recently demonstrated a four-dimensional counterpart of Cardy’s formula, which gives the leading high-temperature (β → 0) behavior of supersymmetric partition functions ZSUSY(β). Focusing on superconformal theories, we elaborate on the subleading contributions to their formula when applied to free chiral and U(1) vector multiplets. In particular, we see that the high-temperature expansion of ln ZSUSY(β) terminates at order β0. We also demonstrate how their formula must be modified when applied to SU(N ) toric quiver gauge theories in the planar (N → ∞) limit. Our method for regularizing the one-loop determinants of chiral and vector multiplets helps to clarify the relation between the 4d N=1

c − a from the N=1 superconformal index

\mathcal{N}=1

Generating temperature flow for η/s with higher derivatives: from Lifshitz to AdS

superconformal index and its corresponding supersymmetric partition function obtained by path-integration.

Central Charges from the N = 1 Superconformal Index

A bstractWe examine the structure of the shear viscosity to entropy density ratio

The spectrum of IIB supergravity on AdS5 × S5/\( {{\mathbb{Z}}_3} \) and a 1/N2 test of AdS/CFT

\frac{\eta }{s}

Coupling dependence of jet quenching in hot strongly-coupled gauge theories

in holographic theories of gravity coupled to a scalar field, in the presence of higher derivative corrections. Thanks to a non-trivial scalar field profile,

Higher derivative effects onη/sat finite chemical potential

\frac{\eta }{s}

Tidal stretching of gravitons into classical strings: application to jet quenching with AdS/CFT

in this setup generically runs as a function of temperature. In particular, its temperature behavior is dictated by the shape of the scalar potential and of the scalar couplings to the higher derivative terms. We consider a number of dilatonic setups, but focus mostly on phenomenological models that are QCD-like. We determine the geometric conditions needed to identify local and global minima for