Abstract
An N = 1 / 2 supergravity in four Euclidean spacetime dimensions, coupled to both vector- and scalar-multiplet matter, is constructed for the first time. We begin with the standard N = (1, 1) conformally extended supergravity in four Euclidean dimensions, and freeze out the graviphoton field strength to an arbitrary (fixed) self-dual field (the so-called C-deformation). Though a consistency of such procedure with local supersymmetry is not guaranteed, we find a simple consistent set of algebraic constraints that reduce the local supersymmetry by 3/4 and eliminate the corresponding gravitini. The final field theory (after the superconformal gauge-fixing) has the residual local N = (0, frac(1, 2)) or just N = 1 / 2 supersymmetry with only one chiral gravitino as the corresponding gauge field. Our theory is not 'Lorentz'-invariant because of the non-vanishing self-dual graviphoton vacuum expectation value, which is common to the C-deformed N = 1 / 2 rigidly supersymmetric field theories constructed in a non-anticommutative superspace.
| Original language | English |
|---|---|
| Pages (from-to) | 495-511 |
| Number of pages | 17 |
| Journal | Nuclear Physics B |
| Volume | 794 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 11 May 2008 |
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Keywords
- Gravi-photon
- Supergravity
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
N = 1 / 2 supergravity with matter in four Euclidean dimensions. / Hatanaka, Tomoya; Ketov, Sergei V.
In: Nuclear Physics B, Vol. 794, No. 3, 11.05.2008, p. 495-511.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - N = 1 / 2 supergravity with matter in four Euclidean dimensions
AU - Hatanaka, Tomoya
AU - Ketov, Sergei V.
PY - 2008/5/11
Y1 - 2008/5/11
N2 - An N = 1 / 2 supergravity in four Euclidean spacetime dimensions, coupled to both vector- and scalar-multiplet matter, is constructed for the first time. We begin with the standard N = (1, 1) conformally extended supergravity in four Euclidean dimensions, and freeze out the graviphoton field strength to an arbitrary (fixed) self-dual field (the so-called C-deformation). Though a consistency of such procedure with local supersymmetry is not guaranteed, we find a simple consistent set of algebraic constraints that reduce the local supersymmetry by 3/4 and eliminate the corresponding gravitini. The final field theory (after the superconformal gauge-fixing) has the residual local N = (0, frac(1, 2)) or just N = 1 / 2 supersymmetry with only one chiral gravitino as the corresponding gauge field. Our theory is not 'Lorentz'-invariant because of the non-vanishing self-dual graviphoton vacuum expectation value, which is common to the C-deformed N = 1 / 2 rigidly supersymmetric field theories constructed in a non-anticommutative superspace.
AB - An N = 1 / 2 supergravity in four Euclidean spacetime dimensions, coupled to both vector- and scalar-multiplet matter, is constructed for the first time. We begin with the standard N = (1, 1) conformally extended supergravity in four Euclidean dimensions, and freeze out the graviphoton field strength to an arbitrary (fixed) self-dual field (the so-called C-deformation). Though a consistency of such procedure with local supersymmetry is not guaranteed, we find a simple consistent set of algebraic constraints that reduce the local supersymmetry by 3/4 and eliminate the corresponding gravitini. The final field theory (after the superconformal gauge-fixing) has the residual local N = (0, frac(1, 2)) or just N = 1 / 2 supersymmetry with only one chiral gravitino as the corresponding gauge field. Our theory is not 'Lorentz'-invariant because of the non-vanishing self-dual graviphoton vacuum expectation value, which is common to the C-deformed N = 1 / 2 rigidly supersymmetric field theories constructed in a non-anticommutative superspace.
KW - Gravi-photon
KW - Supergravity
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UR - http://www.scopus.com/inward/citedby.url?scp=38849203013&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2007.10.020
DO - 10.1016/j.nuclphysb.2007.10.020
M3 - Article
VL - 794
SP - 495
EP - 511
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 3
ER -