One-loop effect of null-like cosmology's holographic dual super-Yang-Mills

Feng Li Lin, Dan Tomino

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

We calculate the 1-loop effect in super-Yang-Mills which preserves 1/4-supersymmetries and is holographically dual to the null-like cosmology with a big-bang singularity. Though the bosonic and fermionic spectra do not agree precisely, we do obtain vanishing 1-loop vacuum energy for generic warped plane-wave type backgrounds with a big-bang singularity. Moreover, we find that the cosmological "constant" contributed either by bosons or fermions is time-dependent. The issues about the particle production of some background and about the UV structure are also commented. We argue that the effective higher derivative interactions are suppressed as long as the Fourier transform of the time-dependent coupling is UV-finite. Our result holds for scalar configurations that are BPS but with arbitrary time-dependence. This suggests the existence of non-renormalization theorem for such a new class of time-dependent theories. Altogether, it implies that such a super-Yang-Mills is scale-invariant, and that its dual bulk quantum gravity might behave regularly near the big bang.

Original languageEnglish
JournalJournal of High Energy Physics
Volume2007
Issue number3
DOIs
Publication statusPublished - 2007 Mar 1

Keywords

  • Ads-cft correspondence
  • M(atrix) theories
  • Penrose limit and pp-wave background

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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