کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1895913 1533774 2013 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Changing the preferred direction of the refined topological vertex
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Changing the preferred direction of the refined topological vertex
چکیده انگلیسی

We consider the issue of the slice invariance of refined topological string amplitudes, which means that they are independent of the choice of the preferred direction of the refined topological vertex. We work out two examples. The first example is a geometric engineering of five-dimensional U(1)U(1) gauge theory with adjoint matter. The slice invariance follows from a highly non-trivial combinatorial identity which equates two known ways of computing the χyχy genus of the Hilbert scheme of points on C2C2. The second example is concerned with the proposal that the superpolynomials of the colored Hopf link are obtained from a refinement of topological open string amplitudes. We provide a closed formula for the superpolynomial, which confirms the slice invariance when the Hopf link is colored with totally anti-symmetric representations. However, we observe a breakdown of the slice invariance for other representations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 64, February 2013, Pages 91–110
نویسندگان
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