کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8943601 1645164 2006 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dual giant gravitons in Sasaki-Einstein backgrounds
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Dual giant gravitons in Sasaki-Einstein backgrounds
چکیده انگلیسی
We study the dynamics of a BPS D3-brane wrapped on a three-sphere in AdS5×L, a so-called dual giant graviton, where L is a Sasakian five-manifold. The phase space of these configurations is the symplectic cone X over L, and geometric quantisation naturally produces a Hilbert space of L2-normalisable holomorphic functions on X, whose states are dual to scalar chiral BPS operators in the dual superconformal field theory. We define classical and quantum partition functions and relate them to earlier mathematical constructions by the authors and S.-T. Yau, [D. Martelli, J. Sparks, S.-T. Yau, Sasaki-Einstein manifolds and volume minimisation, hep-th/0603021]. In particular, a Sasaki-Einstein metric then minimises an entropy function associated with the D3-brane. Finally, we introduce a grand canonical partition function that counts multiple dual giant gravitons. This is related simply to the index-character of the above reference, and provides a method for counting multi-trace scalar BPS operators in the dual superconformal field theory.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 759, Issues 1–2, 18 December 2006, Pages 292-319
نویسندگان
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