Built on

J. Kallen and M. Zabzine, “Twisted supersymmetric 5D Yang-Mills theory and contact geometry,” JHEP 1205
Original
1956
Earlier work this paper cites.
K. S. Stelle, P. C. West, “Minimal Auxiliary Fields for Supergravity,” Phys. Lett. B74
1978
Earlier work this paper cites.
S. Ferrara, P. van Nieuwenhuizen, “The Auxiliary Fields of Supergravity,” Phys. Lett. B74
1978
Earlier work this paper cites.
B. de Wit, J. W. van Holten, and A. van Proeyen, “Transformation rules of N = 2 N=2 supergravity multiplets, Nucl. Phys. B167
1980
Earlier work this paper cites.
M. F. Sohnius, P. C. West, “An Alternative Minimal Off-Shell Version of N=1 Supergravity,” Phys. Lett. B105
1981
Earlier work this paper cites.
P. Howe and U. Lindstrom, “The supercurrent in five-dimensions,” Phys. Lett. B103
1981
Earlier work this paper cites.
B. de Wit, J. W. van Holten, and A. van Proeyen, “Structure of N = 2 N=2 supergravity,” Nucl. Phys. B184
1983
Earlier work this paper cites.
M. Gunaydin, G. Sierra, and P. K. Townsend, “The Geometry of N=2 Maxwell-Einstein Supergravity and Jordan Algebras,” Nucl. Phys. B242
1984
Earlier work this paper cites.
M. Gunaydin, G. Sierra, and P. K. Townsend, “Gauging the d=5 Maxwell-Einstein Supergravity Theories: More on Jordan Algebras,” Nucl. Phys. B253
1985
Earlier work this paper cites.
N. Seiberg, “Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics,” Phys. Lett. B 388
1996
Earlier work this paper cites.
M. Zucker, “Minimal off-shell supergravity in five-dimensions,” Nucl. Phys. B 570
2000
Earlier work this paper cites.
T. Kugo and K. Ohashi, “Supergravity tensor calculus in 5-D from 6-D,” Prog. Theor. Phys. 104
2000
Earlier work this paper cites.
T. Kugo and K. Ohashi, “Off-shell D = 5 supergravity coupled to matter Yang-Mills system,” Prog. Theor. Phys. 105
2001
Earlier work this paper cites.
E. Bergshoeff, S. Cucu, M. Derix, T. de Wit, R. Halbersma and A. Van Proeyen, “Weyl multiplets of N=2 conformal supergravity in five-dimensions,” JHEP 0106
2001
Earlier work this paper cites.
T. Fujita and K. Ohashi, “Superconformal tensor calculus in five-dimensions,” Prog. Theor. Phys. 106
2001
Earlier work this paper cites.
J. P. Gauntlett and J. B. Gutowski, “All supersymmetric solutions of minimal gauged supergravity in five-dimensions,” Phys. Rev. D 68
2004
Earlier work this paper cites.
E. Bergshoeff, S. Cucu, T. de Wit, J. Gheerardyn, S. Vandoren and A. Van Proeyen, “N = 2 supergravity in five-dimensions revisited,” Class. Quant. Grav. 21
2006
Earlier work this paper cites.

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2014

Supersymmetric backgrounds from 5d N=1 supergravity

Imamura, Yosuke, Matsuno, Hiroki

Understand

We construct curved backgrounds with Euclidean signature admitting rigid supersymmetry by using a 5d N=1 off-shell Poincare supergravity.

We solve the conditions for the background Weyl multiplet and vector multiplets that preserve at least one supersymmetry parameterized by a symplectic Majorana spinor, and represent the solution in terms of several independent fields.
We also show that the partition function does not depends on the local degrees of freedom of the background fields.
Namely, as far as we focus on a single coordinate patch, we can freely change the independent fields by combining Q-exact deformations and gauge transformations.

Built on

J. Kallen and M. Zabzine, “Twisted supersymmetric 5D Yang-Mills theory and contact geometry,” JHEP 1205
Original
1956
Earlier work this paper cites.
K. S. Stelle, P. C. West, “Minimal Auxiliary Fields for Supergravity,” Phys. Lett. B74
1978
Earlier work this paper cites.
S. Ferrara, P. van Nieuwenhuizen, “The Auxiliary Fields of Supergravity,” Phys. Lett. B74
1978
Earlier work this paper cites.
B. de Wit, J. W. van Holten, and A. van Proeyen, “Transformation rules of N = 2 N=2 supergravity multiplets, Nucl. Phys. B167
1980
Earlier work this paper cites.
M. F. Sohnius, P. C. West, “An Alternative Minimal Off-Shell Version of N=1 Supergravity,” Phys. Lett. B105
1981
Earlier work this paper cites.
P. Howe and U. Lindstrom, “The supercurrent in five-dimensions,” Phys. Lett. B103
1981
Earlier work this paper cites.
B. de Wit, J. W. van Holten, and A. van Proeyen, “Structure of N = 2 N=2 supergravity,” Nucl. Phys. B184
1983
Earlier work this paper cites.
M. Gunaydin, G. Sierra, and P. K. Townsend, “The Geometry of N=2 Maxwell-Einstein Supergravity and Jordan Algebras,” Nucl. Phys. B242
1984
Earlier work this paper cites.
M. Gunaydin, G. Sierra, and P. K. Townsend, “Gauging the d=5 Maxwell-Einstein Supergravity Theories: More on Jordan Algebras,” Nucl. Phys. B253
1985
Earlier work this paper cites.
N. Seiberg, “Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics,” Phys. Lett. B 388
1996
Earlier work this paper cites.
M. Zucker, “Minimal off-shell supergravity in five-dimensions,” Nucl. Phys. B 570
2000
Earlier work this paper cites.
T. Kugo and K. Ohashi, “Supergravity tensor calculus in 5-D from 6-D,” Prog. Theor. Phys. 104
2000
Earlier work this paper cites.
T. Kugo and K. Ohashi, “Off-shell D = 5 supergravity coupled to matter Yang-Mills system,” Prog. Theor. Phys. 105
2001
Earlier work this paper cites.
E. Bergshoeff, S. Cucu, M. Derix, T. de Wit, R. Halbersma and A. Van Proeyen, “Weyl multiplets of N=2 conformal supergravity in five-dimensions,” JHEP 0106
2001
Earlier work this paper cites.
T. Fujita and K. Ohashi, “Superconformal tensor calculus in five-dimensions,” Prog. Theor. Phys. 106
2001
Earlier work this paper cites.
J. P. Gauntlett and J. B. Gutowski, “All supersymmetric solutions of minimal gauged supergravity in five-dimensions,” Phys. Rev. D 68
2004
Earlier work this paper cites.
E. Bergshoeff, S. Cucu, T. de Wit, J. Gheerardyn, S. Vandoren and A. Van Proeyen, “N = 2 supergravity in five-dimensions revisited,” Class. Quant. Grav. 21
2006
Earlier work this paper cites.