Free energy and critical temperature in eleven dimensions
نویسندگان
چکیده
منابع مشابه
Free Energy and Critical Temperature in Eleven Dimensions
We compute the one-loop contribution to the free energy in eleven-dimensional supergravity, with the eleventh dimension compactified on a circle of radius R11. We find a finite result, which, in a small radius expansion, has the form of the type IIA supergravity free energy plus non-perturbative corrections in the string coupling gA, whose coefficients we determine. We then study type IIA super...
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Four-graviton scattering in eleven-dimensional supergravity is considered at one loop compactified on one, two and three-dimensional tori. The dependence on the toroidal geometry determines the known perturbative and non-perturbative terms in the corresponding processes in type II superstring theories in ten, nine and eight dimensions. The ultraviolet divergence must be regularized so that it h...
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The two-loop Feynman diagram contribution to the four-graviton amplitude of eleven-dimensional supergravity compactified on a two-torus, T , is analyzed in detail. The Schwinger parameter integrations are re-expressed as integration over the moduli space of a second torus, T̂ , which enables the leading low-momentum contribution to be evaluated in terms of maps of T̂ 2 into T . The ultraviolet di...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2001
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(01)00128-6