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L. S. Brown and J. P. Cassidy, Stress Tensors and their Trace Anomalies in Conformally Flat Space-Times , Phys. Rev. D 16
1977
Earlier work this paper cites.
M. F. Sohnius and P. C. West, An Alternative Minimal Off-Shell Version of 𝒩 = 1 {\cal N}=1 Supergravity , Phys. Lett. B 105
1981
Earlier work this paper cites.
N. D. Birrell and P. C. W. Davies, Quantum fields in curved space , Cambridge University Press (1982)
1982
Earlier work this paper cites.
D. N. Page, Thermal Stress Tensors in Static Einstein Spaces , Phys. Rev. D 25
1982
Earlier work this paper cites.
R. E. Cutkosky, Harmonic Functions and Matrix Elements for Hyperspherical Quantum Field Models , J. Math. Phys. 25
1984
Earlier work this paper cites.
H. W. J. Bloete, J. L. Cardy and M. P. Nightingale, Conformal Invariance, the Central Charge, and Universal Finite Size Amplitudes at Criticality , Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
D. Sen, Fermions in the space-time ℝ × S 3 \mathbb{R}\times S^{3} , J. Math. Phys. 27
1986
Earlier work this paper cites.
E. Witten, Topological Quantum Field Theory , Commun. Math. Phys. 117
1988
Earlier work this paper cites.
A. Cappelli and A. Coste, On the Stress Tensor of Conformal Field Theories in Higher Dimensions , Nucl. Phys. B 314
1989
Earlier work this paper cites.

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2014

Lorenzen, Jakob, Martelli, Dario

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 $S^1\times S^3$, we recover the supersymmetric Casimir energy.
Secondly, we consider the same theories in the Hamiltonian formalism on $\mathbb{R}\times S^3$, focussing on the free limit and including a one-parameter family of background gauge fields along $\mathbb{R}$.
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.

L. S. Brown and J. P. Cassidy, Stress Tensors and their Trace Anomalies in Conformally Flat Space-Times , Phys. Rev. D 16
1977
Earlier work this paper cites.
M. F. Sohnius and P. C. West, An Alternative Minimal Off-Shell Version of 𝒩 = 1 {\cal N}=1 Supergravity , Phys. Lett. B 105
1981
Earlier work this paper cites.
N. D. Birrell and P. C. W. Davies, Quantum fields in curved space , Cambridge University Press (1982)
1982
Earlier work this paper cites.
D. N. Page, Thermal Stress Tensors in Static Einstein Spaces , Phys. Rev. D 25
1982
Earlier work this paper cites.
R. E. Cutkosky, Harmonic Functions and Matrix Elements for Hyperspherical Quantum Field Models , J. Math. Phys. 25
1984
Earlier work this paper cites.
H. W. J. Bloete, J. L. Cardy and M. P. Nightingale, Conformal Invariance, the Central Charge, and Universal Finite Size Amplitudes at Criticality , Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
D. Sen, Fermions in the space-time ℝ × S 3 \mathbb{R}\times S^{3} , J. Math. Phys. 27
1986
Earlier work this paper cites.
E. Witten, Topological Quantum Field Theory , Commun. Math. Phys. 117
1988
Earlier work this paper cites.
A. Cappelli and A. Coste, On the Stress Tensor of Conformal Field Theories in Higher Dimensions , Nucl. Phys. B 314
1989
Earlier work this paper cites.