reformulated link invariants from topological strings
نویسندگان
چکیده
منابع مشابه
Knot Invariants and Topological Strings
We find further evidence for the conjecture relating large N Chern-Simons theory on S with topological string on the resolved conifold geometry by showing that the Wilson loop observable of a simple knot on S (for any representation) agrees to all orders in N with the corresponding quantity on the topological string side. For a general knot, we find a reformulation of the knot invariant in term...
متن کاملOn Link Invariants and Topological String Amplitudes
We explicitly show that the new polynomial invariants for knots, upto nine crossings, agree with the Ooguri-Vafa conjecture relating Chern-Simons gauge theory to topological string theory on the resolution of the conifold. From the multi-component link invariants in SU(N) Chern-Simons theory, we suggest a form for the new polynomial invariants. Email: [email protected] Email: [email protected]...
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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...
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We show that the BRST structure of the topological string is encoded in the “small” N = 4 superconformal algebra, enabling us to obtain, in a non-trivial way, the string theory from hamiltonian reduction of A(1|1). This leads to the important conclusion that not only ordinary string theories, but topological strings as well, can be obtained, or even defined, by hamiltonian reduction from WZW mo...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2005
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2005.08.027