Noncritical M - theory and the Gross - Neveu model in 2 + 1 dimensions
نویسنده
چکیده
We point out a non-trivial connection between the model proposed by Hořava 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. E-mail: [email protected] E-mail: [email protected]
منابع مشابه
ar X iv : h ep - t h / 05 09 14 3 v 1 1 9 Se p 20 05 M - theory and the Gross - Neveu model in 2 + 1 dimensions
We discuss a connection between M -theory and the Gross-Neveu model with fermionic fields obeying periodic boundary conditions in 2 + 1 dimensions. In the large-N limit, the latter may be obtained from the former in the limit of vanishing 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 ...
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