Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-09-19
Phys.Lett.B640:209-213,2006
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, improved discussion to appear in Phys. Lett. B
Scientific paper
10.1016/j.physletb.2006.07.062
We point out a non-trivial connection between the model proposed by Horava and Keeler as a candidate for noncritical M-theory and the Gross-Neveu model with fermionic fields obeying periodic boundary conditions in 2+1 dimensions. Specifically, the vacuum energy of the former is identified with the large-N free-energy of the latter up to an overall constant. This identification involves an appropriate analytic continuation of the subtraction point in noncritical M-theory, which is related to the volume of the Liouville dimension. We show how the world-sheet cosmological constant may be obtained from the Gross-Neveu model. At its critical point, which is given in terms of the golden mean, the values of the vacuum energy and of the cosmological constant are 4/5 and 2/5 of the corresponding values at infinite string coupling constant.
Petkou Anastasios C.
Siopsis George
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