کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1894195 | 1044149 | 2010 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Chern-Simons theory on L(p,q) lens spaces and Gopakumar-Vafa duality
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Chern-Simons theory on L(p,q) lens spaces and Gopakumar-Vafa duality Chern-Simons theory on L(p,q) lens spaces and Gopakumar-Vafa duality](/preview/png/1894195.png)
چکیده انگلیسی
We consider aspects of Chern-Simons theory on L(p,q) lens spaces and its relation with matrix models and topological string theory on Calabi-Yau threefolds, searching for possible new large N dualities via geometric transition for non-SU(2) cyclic quotients of the conifold. To this aim we find, on one hand, a useful matrix integral representation of the SU(N)CS partition function in a generic flat background for the whole L(p,q) family and provide a solution for its large N dynamics; on the other hand, we perform in full detail the construction of a family of would-be dual closed string backgrounds through conifold geometric transition from TâL(p,q). We can then explicitly prove the claim in [5] that Gopakumar-Vafa duality in a fixed vacuum fails in the case q>1, and briefly discuss how it could be restored in a non-perturbative setting.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 60, Issue 3, March 2010, Pages 417-429
Journal: Journal of Geometry and Physics - Volume 60, Issue 3, March 2010, Pages 417-429
نویسندگان
Andrea Brini, Luca Griguolo, Domenico Seminara, Alessandro Tanzini,