Instantons, Topological Strings, and Enumerative Geometry
نویسندگان
چکیده
منابع مشابه
Instantons, Topological Strings, and Enumerative Geometry
We review and elaborate on certain aspects of the connections between instanton counting in maximally supersymmetric gauge theories and the computation of enumerative invariants of smooth varieties. We study in detail three instances of gauge theories in six, four, and two dimensions which naturally arise in the context of topological string theory on certain noncompact threefolds. We describe ...
متن کاملTopological String Theory and Enumerative Geometry
In this thesis we investigate several problems which have their roots in both topological string theory and enumerative geometry. In the former case, underlying theories are topological field theories, whereas the latter case is concerned with intersection theories on moduli spaces. A permeating theme in this thesis is to examine the close interplay between these two complementary fields of stu...
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We calculate the topological string amplitudes of Calabi–Yau toric threefolds corresponding to 4D, N = 2 SU(2) gauge theory with Nf = 0, 1, 2, 3, 4 fundamental hypermultiplets by using the method of the geometric transition and show that they reproduce Nekrasov’s formulas for instanton counting. We also determine the asymptotic forms of the Gopakumar–Vafa invariants of the Calabi–Yau threefolds...
متن کاملEnumerative Geometry
Given a complex projective variety V (as defined in [1]), we wish to count the curves in V that satisfy certain prescribed conditions. Let f C denote complex projective -dimensional space. In our first example, V = f C2, the complex projective plane; in the second and third, V is a general hypersurface in f C of degree 2 − 3. Call such V a cubic twofold when = 3 and a quintic threefold wh...
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An overview of the geometry of string theory, which sets the various contributions to this proceedings in this context.
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ژورنال
عنوان ژورنال: Advances in Mathematical Physics
سال: 2010
ISSN: 1687-9120,1687-9139
DOI: 10.1155/2010/107857