Towards a Naturally Small Cosmological Constant from Branes in 6D Supergravity

By Y. Aghababaie, C. Burgess, S. Parameswaran, F. Quevedo. 2003

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Abstract We investigate the possibility of self-tuning of the effective 4D cosmological constant in 6D supergravity, to see whether it could naturally be of order 1/r4 when compactified on two dimensions having Kaluza–Klein masses of order 1/r. In the models we examine supersymmetry is broken by the presence of non-supersymmetric 3-branes (on one of which we live). If r were sub-millimeter in size, such a cosmological constant could describe the recently-discovered dark energy. A successful self-tuning mechanism would therefore predict a connection between the observed size of the cosmological constant, and potentially observable effects in sub-millimeter tests of gravity and at the Large Hadron Collider. We do find self-tuning inasmuch as 3-branes can quite generically remain classically flat regardless of the size of their tensions, due to an automatic cancellation with the curvature and dilaton of the transverse two dimensions. We argue that in some circumstances six-dimensional supersymmetry might help suppress quantum corrections to this cancellation down to the bulk supersymmetry-breaking scale, which is of order 1/r. We finally examine an explicit realization of the mechanism, in which 3-branes are inserted into an anomaly-free version of Salam–Sezgin gauged 6D supergravity compactified on a 2-sphere with nonzero magnetic flux. This realization is only partially successful due to a topological constraint which relates bulk couplings to the brane tension, although we give arguments why these relations may be stable against quantum corrections.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ff26c2f4e86c4c0ad3b12ada53f82bc836bf6768

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Citations in the corpus

Massive Gravity (2014, background): “[4, 3, 404, 410, 80, 466, 454, 455, 86, 82, 246, 330, 467, 81, 422, 405, 370, 85, 456, 155] for the Supersymmetric Large Extra Dimension scenario as an alternative way to tackle the cosmological constant problem).”
Bi-galileon theory I: motivation and formulation (2010, background): “Recently there has been plenty of interest in branes of higher co-dimension and the role they might play in modifying gravity at cosmological scales [51–74].”
The Cosmological Constant Problem: Why it's hard to get Dark Energy from Micro-physics (2013, background): “ showed it to be a huge success. { 27 { There are a variety of supergravities from which to choose in six dimensions, but one choice is particularly convenient in that it allows a rugby ball solution [33, 26], very similar to the one described above. This supergravity is the Nishino-Sezgin chiral ga”
Categorizing Different Approaches to the Cosmological Constant Problem (2004, result): “See [126, 127] for recent studies in favor of this approach.”
Modified Gravity and Cosmology (2011, background): “Despite being extremely difficult to study, higher co-dimension braneworld models have been discussed in the literature (see, for example, [256, 316, 1250, 965, 13, 448, 449, 450, 518, 436, 669, 668, 381, 386, 388, 379, 387, 900, 12, 338, 339, 174, 280, 281, 277, 1023, 1022, 348, 349]).”
3-branes and uniqueness of the Salam–Sezgin vacuum (2003, background): “Minkowski)4 ×S2 vacuum [9]. On the phenomenological side, the current interest in large extra dimensions favours six-dimensional models, and the Salam-Sezgin model has featured in recent studies (see [6,7], and references therein). The Salam-Sezgin model as it stands, being chiral, is anomalous. The”
General analysis of LARGE Volume Scenarios with string loop moduli stabilisation (2008, background): “ld eﬀectively have a very anisotropic compactiﬁcation with the 2-cycle much bigger than its dual 4-cycle. This could then lead to a realisation of the supersymmetric 2 large extra dimensions scenario [17, 18] in which the extra dimension could be as large as a fraction of a millimetre. This would co”
Brane-World Gravity (2004, background): “The bosonic part of the action is given by [3, 4, 2]”