Abstract
As the full off-shell theories of supergravity in the important dimensions of eleven and ten dimensions are currently unknown, we introduce a superfield formalism as a foundation and experimental laboratory to explore the possibility that the scalar versions of the higher dimensional supergravitation theory can be constructed.
Article PDF
Similar content being viewed by others
References
W. Isaacson, Einstein His Life and Universe, p. 106, Simon & Schuster, NY (2007).
K. Schwarzschild, On the permissible curvature of space, Vierteljahrschrift d. Astronom. Gesellschaft.35 (1900) 337.
H. Minkowski, The Fundamental Equations for Electromagnetic Processes in Moving Bodies, Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse, pp. 53–111 (1907).
H. Minkowski, Space and Time, Phys. Z.10 (1909) 75.
W. Isaacson, Einstein His Life and Universe, p. 161, Simon & Schuster, NY (2007).
G. Nordström, Inertial and gravitational mass in relativistic mechanics, Annalen Phys.40 (1913) 856.
G. Nordström, About the theory of gravitation from the point of view of the principle of relativity, Annalen Phys.42 (1913) 533.
E. Cremmer and S. Ferrara, Formulation of Eleven-Dimensional Supergravity in Superspace, Phys. Lett.91B (1980) 61 [INSPIRE].
L. Brink and P.S. Howe, Eleven-Dimensional Supergravity on the Mass-Shell in Superspace, Phys. Lett.91B (1980) 384 [INSPIRE].
J.L. Carr, S.J. Gates Jr. and R.N. Oerter, D = 10, N = 2a Supergravity in Superspace, Phys. Lett.B 189 (1987) 68 [INSPIRE].
P.S. Howe and P.C. West, The Complete N = 2, D = 10 Supergravity, Nucl. Phys.B 238 (1984) 181 [INSPIRE].
M.T. Grisaru, P.S. Howe, L. Mezincescu, B. Nilsson and P.K. Townsend, N = 2 Superstrings in a Supergravity Background, Phys. Lett.162B (1985) 116 [INSPIRE].
B.E.W. Nilsson, Simple Ten-dimensional Supergravity in Superspace, Nucl. Phys.B 188 (1981) 176 [INSPIRE].
J. Wess and B. Zumino, Superspace Formulation of Supergravity, Phys. Lett.66B (1977) 361 [INSPIRE].
J. Wess and B. Zumino, Superfield Lagrangian for Supergravity, Phys. Lett.74B (1978) 51 [INSPIRE].
R. Grimm, J. Wess and B. Zumino, Consistency Checks on the Superspace Formulation of Supergravity, Phys. Lett.73B (1978) 415 [INSPIRE].
S.M. Chester, S.S. Pufu and X. Yin, The M-theory S-matrix From ABJM: Beyond 11D Supergravity, JHEP08 (2018) 115 [arXiv:1804.00949] [INSPIRE].
D.J. Binder, S.M. Chester and S.S. Pufu, Absence of D 4R 4in M-theory From ABJM, arXiv:1808.10554 [INSPIRE].
D.J. Binder, S.M. Chester and S.S. Pufu, AdS 4/CFT 3from Weak to Strong String Coupling, arXiv:1906.07195 [INSPIRE].
B.M. Zupnik and D.G. Pak, Superfield Formulation of the Simplest Three-dimensional Gauge Theories and Conformal Supergravities, Theor. Math. Phys.77 (1988) 1070 [INSPIRE].
H. Nishino and S.J. Gates Jr., Chern-Simons theories with supersymmetries in three-dimensions, Int. J. Mod. Phys.A 8 (1993) 3371 [INSPIRE].
S.J. Gates Jr. and H. Nishino, Remarks on the N = 2 supersymmetric Chern-Simons theories, Phys. Lett.B 281 (1992) 72 [INSPIRE].
O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP10 (2008) 091 [arXiv:0806.1218] [INSPIRE].
A. Salam and J.A. Strathdee, On Superfields and Fermi-Bose Symmetry, Phys. Rev.D 11 (1975) 1521 [INSPIRE].
K. Watt and C.W. Misner, Relativistic scalar gravity: A Laboratory for numerical relativity, gr-qc/9910032 [INSPIRE].
P. Breitenlohner, A Geometric Interpretation of Local Supersymmetry, Phys. Lett.67B (1977) 49 [INSPIRE].
G. Woo, Scalar Superfield Dynamics from the Arnowitt-Nath Supergeometry, Lett. Nuovo Cim.13 (1975) 546 [INSPIRE].
W. Siegel, Supergravity Superfields Without a Supermetric, Harvard U., November 1977, 16 pp., Harvard University preprint HUTP-77/A068, unpublished.
W. Siegel and S.J. Gates Jr., Superfield Supergravity, Nucl. Phys.B 147 (1979) 77 [INSPIRE].
V. Ogievetsky and E. Sokatchev, On Vector Superfield Generated by Supercurrent, Nucl. Phys.B 124 (1977) 309 [INSPIRE].
R.L. Arnowitt, S. Deser and C.W. Misner, Dynamical Structure and Definition of Energy in General Relativity, Phys. Rev.116 (1959) 1322 [INSPIRE].
S. Deser and C.J. Isham, Canonical Vierbein Form of General Relativity, Phys. Rev.D 14 (1976) 2505 [INSPIRE].
J.A. Nester, A New gravitational energy expression with a simple positivity proof, Phys. Lett.A 83 (1981) 241 [INSPIRE].
S.J. Gates Jr., M.T. Grisaru, M. Roček and W. Siegel, Superspace Or One Thousand and One Lessons in Supersymmetry, Front. Phys.58 (1983) 1 [hep-th/0108200] [INSPIRE].
I.L. Buchbinder and S.M. Kuzenko, Nonlocal Action for Supertrace Anomalies in Superspace of N = 1 Supergravity, Phys. Lett.B 202 (1988) 233 [INSPIRE].
S.J. Gates Jr., Superconformal symmetry in 11-D superspace and the M-theory effective action, Nucl. Phys.B 616 (2001) 85 [hep-th/0106150] [INSPIRE].
S.J. Gates Jr. and S. Vashakidze, On D = 10, N = 1 Supersymmetry, Superspace Geometry and Superstring Effects, Nucl. Phys.B 291 (1987) 172 [INSPIRE].
S.J. Gates Jr. and H. Nishino, On D = 10, N = 1 Supersymmetry, Superspace Geometry and Superstring Effects. 2., Nucl. Phys.B 291 (1987) 205 [INSPIRE].
P.S. Howe, H. Nicolai and A. Van Proeyen, Auxiliary Fields and a Superspace Lagrangian for Linearized Ten-dimensional Supergravity, Phys. Lett.112B (1982) 446 [INSPIRE].
S. Bellucci, S.J. Gates Jr., B. Radak and S. Vashakidze, Improved Supergeometries for Type II Green-Schwarz Nonlinear σ Model, Mod. Phys. Lett.A 4 (1989) 1985 [INSPIRE].
H. Nishino and S.J. Gates Jr., Toward an off-shell 11-D supergravity limit of M-theory, Phys. Lett.B 388 (1996) 504 [hep-th/9602011] [INSPIRE].
S.J. Gates, Y. Hu, H. Jiang and S.N.H. Mak, On Linearized Nordström Supergravity in Eleven and Ten Dimensional Superspaces, arXiv:1812.05097 [INSPIRE].
S.J. Gates, Y. Hu, H. Jiang and S.N.H. Mak, On Linearized Nordström Supergravity in Eleven and Ten Dimensional Superspaces (2), arXiv:1904.02328 [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1812.05097
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Gates, S.J., Hu, Y., Jiang, H. et al. A codex on linearized Nordström supergravity in eleven and ten dimensional superspaces. J. High Energ. Phys. 2019, 63 (2019). https://doi.org/10.1007/JHEP07(2019)063
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2019)063