Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-11-13
JHEP 0703:118,2007
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, v2 add comments and references, v3 clarify BPS condition & add new discussion on particle production and UV structur
Scientific paper
10.1088/1126-6708/2007/03/118
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.
Lin Feng-Li
Tomino Dan
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