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Beta-functions and superstring compactifications
Institution:1. Walter Burke Institute for Theoretical Physics, Caltech, Pasadena, CA 91125, USA;2. Kavli Institute for the Physics and Mathematics of the Universe (WPI), University of Tokyo, Kashiwa 277-8583, Japan;3. Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Fohringer Ring 6, 80805 Munchen, Germany;4. Department of Physics, University of Wisconsin-Madison, Madison, WI 53706, USA;5. Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138, USA;1. FZU - Institute of Physics of the Czech Academy of Sciences & CEICO, Na Slovance 2, 182 21 Prague 8, Czech Republic;2. Institute of Physics, University of Amsterdam, Science Park 904, 1098XH Amsterdam, the Netherlands;3. Center for High Energy Physics, Indian Institute of Science, C.V. Raman Avenue, Bangalore 560012, India;1. Universidad de Oviedo, Facultad de Ciencias, 33007 Oviedo, Spain;2. C.I.A.M., Avda Pablo Ruiz Picasso, n. 47, 2A, 50018 Zaragoza, Spain
Abstract:It is shown that quartic curvature modifications to the gravitational effective action derived from superstrings agree on Ricci-flat Kähler backgrounds with a recently-proposed four-loop counterterm in N = 2 Ricci-flat σ-models. These results seem to suggest that Calabi-Yau manifolds may not provide consistent compactifications of the superstring.
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