Comments on the Casimir energy in supersymmetric field theories

Jakob Lorenzen*, Dario Martelli

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


We study the Casimir energy of four-dimensional supersymmetric gauge theories in the context of the rigid limit of new minimal supergravity. Firstly, revisiting the computation of the localized partition function on S1 × S3, we recover the supersymmetric Casimir energy from its path integral definition. Secondly, we consider the same theories in the Hamiltonian formalism on ℝ× (Formula presented.), focussing on the free limit and including a one- parameter family of background gauge fields along ℝ (Formula presented.). We compute the vacuum expectation value of the canonical Hamiltonian using zeta function regularization, and show that this interpolates between the supersymmetric Casimir energy and the ordinary Casimir energy of a supersymmetric free field theory.

Original languageEnglish
Article number1
Pages (from-to)1-31
Number of pages31
JournalJournal of High Energy Physics
Issue number7
Publication statusPublished - 1 Jul 2015


  • Renormalization Regularization and Renormalons
  • Supersymmetric gauge theory


Dive into the research topics of 'Comments on the Casimir energy in supersymmetric field theories'. Together they form a unique fingerprint.

Cite this