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On Toda equation and half BPS supergravity solution in M-theory

Ganjali, M. A ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. DOI: 10.1088/1126-6708/2006/01/026
  3. Publisher: 2006
  4. Abstract:
  5. Recently, it was shown that half BPS Supergravity solution of theories with SU(2|4) symmetry algebra is given uniformly by determining a single function which obeys three dimensional continuous Toda equation. In this paper, we study the scale invariant solution of Toda equation. Our motivation is that some solutions of half BPS sector of IIB supergravity, as one excepts from the fermion description of the theory, are scale invariant. By defining two auxiliary functions we prove that such solutions of Toda equation obey cubic algebraic equation. We obtain some simpl solutions of Toda equation specially, we observe that the PP-wave solution can be written in this fashion. © SISSA 2006
  6. Keywords:
  7. AdS-CFT Correspondence ; M-Theory
  8. Source: Journal of High Energy Physics ; Issue 1 , 2006 , Pages 565-578 ; 10298479 (ISSN)
  9. URL: https://iopscience.iop.org/article/10.1088/1126-6708/2006/01/026