Journals / Turkish Journal of Physics / 2016 / Cilt: 40 - Sayı: 2

Supergravity backgrounds and symmetry superalgebras

Pages
113–126
Publication Date
2022-11-05
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

After constructing Killing superalgebras of some specialsupergravity backgrounds, we discuss the possibilities of the extensions of these superalgebras to include the higherdegree hidden symmetries of the background.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We consider the bosonic sectors of supergravity theories in ten and eleven dimensions corresponding to thelow energy limits of string theories and M-theory.
📊
Key Findings & Data:The solutions of supergravity eld equations are known as supergravitybackgrounds and the number of preserved supersymmetries in those backgrounds are determined by Killing spinors.
💡
Conclusion & Impact:After constructing Killing superalgebras of some specialsupergravity backgrounds, we discuss the possibilities of the extensions of these superalgebras to include the higherdegree hidden symmetries of the background.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

We consider the bosonic sectors of supergravity theories in ten and eleven dimensions corresponding to thelow energy limits of string theories and M-theory. The solutions of supergravity eld equations are known as supergravitybackgrounds and the number of preserved supersymmetries in those backgrounds are determined by Killing spinors. Weprovide some examples of supergravity backgrounds that preserve different fractions of supersymmetry. An importantinvariant for the characterization of supergravity backgrounds is their Killing superalgebras, which are constructedout of Killing vectors and Killing spinors of the background. After constructing Killing superalgebras of some specialsupergravity backgrounds, we discuss the possibilities of the extensions of these superalgebras to include the higherdegree hidden symmetries of the background.

🔖

Cite This Article

ERTEM, U. (2022). Supergravity backgrounds and symmetry superalgebras. Turkish Journal of Physics, Cilt: 40 - Sayı: 2, 113–126. https://ajindex.com/articles/614036

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (2)

  1. Green, M. M.; Schwarz, J. H.; Witten, E.Superstring Theory; vols. 1 and 2, Cambridge U. P.: Cambridge, UK,1987. [2]Townsend, P. K.Four lectures on M-theory, arxiv:hep-th/9612121. [3]Duff, M. J.Int. J. Mod. Phys. A1996,11, 5623-5641. [4]Becker, K.; Becker, M.; Schwarz, J. H.String Theory and M-theory: A Modern Introduction, Cambridge U. P.:Cambridge UK, 2007. [5]Van Proeyen, A.Structure of supergravity theories, arXiv:hep-th/0301005. [6]Freedman, D. Z.; Van Proeyen, A.Supergravity, Cambridge U. P.: Cambridge, UK, 2012. [7]Townsend, P. K. InNovelties in String Theory: Proceedings of the Johns Hopkins Workshop on Current Problemsin Particle Theory 22, Goteborg, Sweden, 20-22 August 1998;
  2. Brink, L.; Marnelius, R., Eds; World Scienti c Publ.,Singapore, 1999, p.177. [8]Figueroa-O'Farrill, J.; Meessen, P.; Philip, S.Classical Quant. Grav.2005,22, 207-226. [9]Figueroa-O'Farrill, J.; Hackett-Jones, E.; Moutsopoulos, G.Classical Quant. Grav.2007,24, 3291-3308. [10]Figueroa-O'Farrill, J.; Hustler, N.J. High Energy Phys.2012,1210, 014. [11]Figueroa-O'Farrill, J.; Hustler, N.J. High Energy Phys.2014,1404, 131. [12]Gauntlett, J. P.; Pakis, S.J. High Energy Phys.2003,0304, 039. [13]Gauntlett, J. P.; Gutowski, J. B.; Pakis, S.J. High Energy Phys.2003,0312, 049. [14]Gauntlett, J. P.; Martelli, D.; Pakis, S.; Waldram, D.Commun. Math. Phys.2004,247, 421-445. [15]Gran, U.; Papadopoulos, G., Roest, D.Classical Quant. Grav.2005,22, 2701-2744. [16]Gran, U.; Gutowski, J.; Papadopoulos, G., Roest, D.Classical Quant. Grav.2006,23, 1617-1678. [17]Cremmer, E.; Julia, B.; Scherk, J.Phys. Lett. B1978,76, 409-412. [18]Duff, M. J.; Nilsson, B. E. W.; Pope, C. N.Phys. Rep.1986,130, 1-142.125 [19]Dall`Agata, G.; Lechner, K.; Tonin, M.J. High Energy Phys.1998,9807, 017. [20]Hackett-Jones, E. J.; Smith, D. J.;J. High Energy Phys.2004,0411, 029. [21]Chapline, G.; Manton, N.Phys. Lett. B1983,120, 105-109. [22]Gran, U.; Gutowski, J.; Papadopoulos, G.J. High Energy Phys.2007,0702, 044. [23]Bandos, I. A.; de Azcarraga, J. A.; Varela, O.J. High Energy Phys.2006,0609, 009. [24]Gran, U.; Gutowski, J.; Papadopoulos, G.; Roest, D.J. High Energy Phys.2007,0702, 043. [25]Figueroa-O'Farrill, J.; Gadhia, S.J. High Energy Phys.2007,0706, 043. [26]Acharya, B. S.; Figueroa-O'Farrill, J. M.; Hull, C. M.; Spence, B.Adv. Theor. Math. Phys.1999,2, 1249-1286. [27]Hull, C. M.;Phys. Lett. B1984,139, 39-41. [28]Duff, M. J.; Stelle, K. S.Phys. Rep.1991,253, 113-118. [29]Guven, R.Phys. Lett. B1992,276, 49-55. [30]H