BPS R-balls in N = 4 SYM on R × S3, quantum Hall analogy and AdS/CFT holography

Update Item Information
Publication Type Manuscript
School or College College of Science
Department Physics
Creator Wu, Yong-Shi
Other Author Dai, Jian; Wang, Xiao-Jun
Title BPS R-balls in N = 4 SYM on R × S3, quantum Hall analogy and AdS/CFT holography
Date 2006-06-01
Description In this paper, we propose a new approach to study the BPS dynamics in N = 4 supersymmetric U(N) Yang-Mills theory on R × S3, in order to better understand the emergence of gravity in the gauge theory. Our approach is based on supersymmetric, space-filling Q-balls with R-charge, which we call R-balls. The usual collective coordinate method for non-topological scalar solitons is applied to quantize the half and quarter BPS R-balls. In each case, a different quantization method is also applied to confirm the results from the collective coordinate quantization. For finite N, the half BPS R-balls with a U(1) R-charge have a moduli space which, upon quantization, results in the states of a quantum Hall droplet with filling factor v = 1. These states are known to correspond to the "sources" in the Lin-Lunin-Maldacena geometries in IIB supergravity. For large N, we find a new class of quarter BPS R-balls with a non-commutativity parameter. Quantization on the moduli space of such R-balls gives rise to a non-commutative Chern-Simons matrix mechanics, which is known to describe a fractional quantum Hall system. In view of AdS/CFT holography, this demonstrates a profound connection of emergent quantum gravity with non-commutative geometry, of which the quantum Hall effect is a special case.
Type Text
Publisher Institute of Physics (IOP)
Journal Title Journal of High Energy Physics
Volume 2006
Issue 6
First Page 60
Last Page 60
DOI 10.1088/1126-6708/2006/06/060
citatation_issn 1029-8479
Language eng
Bibliographic Citation Dai, J., Wang, X.-J., & Wu, Y. (2006). BPS R-balls in N = 4 SYM on R × S3, quantum Hall analogy and AdS/CFT holography. Journal of High Energy Physics, 6, 1-42.
Rights Management (c) Institute of Physics (IOP) http://dx.doi.org/10.1088/1126-6708/2006/06/060
Format Medium application/pdf
Format Extent 327,225 bytes
Identifier ir-main,9409
ARK ark:/87278/s6dz0t18
Setname ir_uspace
ID 707475
Reference URL https://collections.lib.utah.edu/ark:/87278/s6dz0t18
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