On superparticles and their partition functions
A bstract We describe a family of twisted partition functions for the relativistic spinning particle models. For suitable choices of fugacities this computes a refined Euler characteristics that counts the dimension of the physical states for arbitrary picture and, furthermore, encodes the complete BV-spectrum of the effective space-time gauge theory originating from this model upon second quantization. The relation between twisted world-line partition functions and the spectrum of the space-time theory is most easily seen on-shell but we will give an off-shell description as well. Finally we discuss the construction of a space-time action in terms of the world-line fields in analogy to string field theory.
Authors
- Ivo Sachs (ORCID: https://orcid.org/0000-0003-2526-8655)
- Eugenia Boffo (ORCID: https://orcid.org/0000-0003-4370-967X)
- Pietro Antonio Grassi (ORCID: https://orcid.org/0000-0002-6744-2386)
- Ondřej Hulík (ORCID: https://orcid.org/0000-0001-6780-7544)
Institutions
- Università degli Studi del Piemonte Orientale “Amedeo Avogadro” (IT)
- Vrije Universiteit Brussel (BE)
- Istituto Nazionale di Fisica Nucleare, Sezione di Torino (IT)
- Comenius University Bratislava (SK)
- Ludwig-Maximilians-Universität München (DE)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2025-05-15
- DOI
- https://doi.org/10.1007/jhep05(2025)140
- Citations
- 2
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 8.18
Funders
- National Science Foundation
- CERN
- Deutsche Forschungsgemeinschaft
- Fonds Wetenschappelijk Onderzoek
- Vrije Universiteit Brussel
- Vlaamse regering
- Kavli Institute for Theoretical Physics, University of California, Santa Barbara