Built on

K. Osterwalder and R. Schrader, “Feynman-kac formula for euclidean fermi and bose fields,” Phys.Rev.Lett
1972
Earlier work this paper cites.
H. Nicolai, “A Possible constructive approach to (Super-phi 3 ) 4 in four-dimensions. 1. Euclidean formulation of the model,” Nucl.Phys
1978
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Adv.Theor.Math.Phys
1998
Earlier work this paper cites.
S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys.Lett
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv.Theor.Math.Phys
1998
Earlier work this paper cites.
J. M. Maldacena, “Wilson loops in large N field theories,” Phys.Rev.Lett
1998
Earlier work this paper cites.
Cambridge University Press, Cambridge, UK, 1998
J. Polchinski, String theory: Vol. 2, Superstring theory and beyond · 1998
Earlier work this paper cites.
D. E. Berenstein, R. Corrado, W. Fischler, and J. M. Maldacena, “The Operator product expansion for Wilson loops and surfaces in the large N limit,” Phys.Rev
1999
Earlier work this paper cites.
N. Drukker, D. J. Gross, and H. Ooguri, “Wilson loops and minimal surfaces,” Phys.Rev
1999
Earlier work this paper cites.
S.-J. Rey and J.-T. Yee, “Macroscopic strings as heavy quarks in large N gauge theory and anti-de Sitter supergravity,” Eur.Phys.J
2001
Earlier work this paper cites.
K. Zarembo, “Supersymmetric Wilson loops,” Nucl. Phys
2002
Earlier work this paper cites.
M. Gutperle and A. Strominger, “Spacelike branes,” JHEP
2002
Earlier work this paper cites.

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2015

BPS Wilson loops in Minkowski spacetime and Euclidean space

Ouyang, Hao, Wu, Jun-Bao, Zhang, Jia-ju

Understand

We give evidence that spacelike BPS Wilson loops do not exist in Minkowski spacetime.

We show that spacelike Wilson loops in Minkowski spacetime cannot preserve any supersymmetries, in $d = 4$ $\mathcal N = 4$ super Yang-Mills theory, $d = 3$ $\mathcal N = 2$ super Chern-Simons-matter theory, and $d = 3$ $\mathcal N = 6$ Aharony-Bergman-Jafferis-Maldacena theory.
We not only show this using infinite straight lines and circles as examples, but also we give proofs for general curves.
We attribute this to the conflicts of reality conditions of the spinors.

Built on

K. Osterwalder and R. Schrader, “Feynman-kac formula for euclidean fermi and bose fields,” Phys.Rev.Lett
1972
Earlier work this paper cites.
H. Nicolai, “A Possible constructive approach to (Super-phi 3 ) 4 in four-dimensions. 1. Euclidean formulation of the model,” Nucl.Phys
1978
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Adv.Theor.Math.Phys
1998
Earlier work this paper cites.
S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys.Lett
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv.Theor.Math.Phys
1998
Earlier work this paper cites.
J. M. Maldacena, “Wilson loops in large N field theories,” Phys.Rev.Lett
1998
Earlier work this paper cites.
Cambridge University Press, Cambridge, UK, 1998
J. Polchinski, String theory: Vol. 2, Superstring theory and beyond · 1998
Earlier work this paper cites.
D. E. Berenstein, R. Corrado, W. Fischler, and J. M. Maldacena, “The Operator product expansion for Wilson loops and surfaces in the large N limit,” Phys.Rev
1999
Earlier work this paper cites.
N. Drukker, D. J. Gross, and H. Ooguri, “Wilson loops and minimal surfaces,” Phys.Rev
1999
Earlier work this paper cites.
S.-J. Rey and J.-T. Yee, “Macroscopic strings as heavy quarks in large N gauge theory and anti-de Sitter supergravity,” Eur.Phys.J
2001
Earlier work this paper cites.
K. Zarembo, “Supersymmetric Wilson loops,” Nucl. Phys
2002
Earlier work this paper cites.
M. Gutperle and A. Strominger, “Spacelike branes,” JHEP
2002
Earlier work this paper cites.