665 citations · 1.2k across the 32 of their papers we have counts for
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Worldline Localization
Changha Choi, Leon A. Takhtajan
We show that two elementary worldline path integrals-the thermal partition function of the harmonic oscillator and the one-loop effective action of scalar QED in a constant field s…
Supersymmetry and trace formulas III. Frenkel trace formula
Changha Choi, Leon A. Takhtajan
By applying the new supersymmetric localization principle introduced in \cite{Choi:2021yuz,Choi:2023pjn}, we present two complementary approaches for the path integral derivation o…
Supersymmetry and trace formulas II. Selberg trace formula
Changha Choi, Leon A. Takhtajan
By extending the new supersymmetric localization principle introduced in \cite{Choi:2021yuz}, we present a path integral derivation of the Selberg trace formula on arbitrary compac…
Berezin quantization, conformal welding and the Bott-Virasoro group
A. Alekseev, S. Shatashvili, L. Takhtajan
Following Nag-Sullivan, we study the representation of the group of diffeomorphisms of the circle on the Hilbert space of holomorphic functions. Conformal weldi…
Supersymmetry and trace formulas I. Compact Lie groups
Changha Choi, Leon A. Takhtajan
In the context of supersymmetric quantum mechanics we formulate new supersymmetric localization principle, with application to trace formulas for a full thermal partition function.…
Quantum Liouville theory in the background field formalism I. Compact Riemann surfaces
Leon A. Takhtajan, Lee-Peng Teo
Using Polyakov's functional integral approach with the Liouville action functional defined in \cite{ZT2} and \cite{LTT}, we formulate quantum Liouville theory on a compact Riemann…