In:
Fortschritte der Physik, Wiley, Vol. 59, No. 3-4 ( 2011-03), p. 243-283
Abstract:
Computing non‐perturbative effects systematically across the string theory landscape a number of interesting problems arise. In particular, the study of fairly generic physical properties is cast into the language of computability/number theory and it is shown that this amounts to solving systems of diophantine equations. Large volume type IIB compactifications are taken as an example, with the physical property of interest being the low‐energy non‐perturbative F‐terms of a generic compactification. A similar analysis is expected to hold for other kinds of string vacua, the extension of these ideas to F‐theory is discussed. While the results imply that it may not be possible to answer certain physical questions about generic type IIB compactifications systematically, one can identify particular Calabi‐Yau manifolds in which the diophantine equations become linear, and thus can be systematically solved.
Type of Medium:
Online Resource
ISSN:
0015-8208
,
1521-3978
DOI:
10.1002/prop.v59.3/4
DOI:
10.1002/prop.201000093
Language:
English
Publisher:
Wiley
Publication Date:
2011
detail.hit.zdb_id:
2101-5
detail.hit.zdb_id:
1474757-1
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