Selberg Supertrace Formula for Super Riemann Surfaces III: Bordered Super Riemann Surfaces
Christian Grosche
Abstract
This paper is the third in a sequel to develop a super-analogue of the classical Selberg trace formula, the Selberg supertrace formula. It deals with bordered super Riemann surfaces. The theory of bordered super Riemann surfaces is outlined, and the corresponding Selberg supertrace formula is developed. The analytic properties of the Selberg super zeta-functions on bordered super Riemann surfaces are discussed, and super-determinants of Dirac-Laplace operators on bordered super Riemann surfaces are calculated in terms of Selberg super zeta-functions.
Create a lesson
Related papers
Proof of the AGT Conjecture at Generic β
Le-Feng Chen, Kilar Zhang
Casimir operators of 4D\,, N=2 supersymmetry in the harmonic approach
Egor Eremeev, Evgeny Ivanov
Doubly-scaled planar N = 4 SYM \& Carroll Holography
Arjun Bagchi, Prateksh Dhivakar, Alok Laddha et al.
Quantum Selection of Classical Histories
Omer Guleryuz
Wess-Zumino gauge for analytic prepotentials of off-shell N=2 supergravity: bosonic sector
Nikita Zaigraev, Julia Zernina
Testing holographic computation of entanglement pseudo-entropy in dS3/ICFT2
Liang Li