Thủy động lực học từ các brane đen mang điện

Journal of High Energy Physics - Tập 2011 - Trang 1-37 - 2011
Nabamita Banerjee1, Jyotirmoy Bhattacharya2, Sayantani Bhattacharyya2, Suvankar Dutta1, R. Loganayagam2, P. Surówka3,4
1Harish-Chandra Research Institute, Allahabad-211019, India
2Dept. of Theoretical Physics, Tata Institute of Fundamental Research, Mumbai, India
3Department of Physics, University of Washington, Seattle, U.S.A.
4Institute of Physics, Jagiellonian University, Kraków, Poland

Tóm tắt

Chúng tôi mở rộng công trình gần đây về sự tương ứng giữa chất lỏng và trọng lực đối với các brane đen mang điện bằng cách xác định các metric đối ngẫu cho cấu hình chất lỏng mang điện tùy ý lên đến bậc hai trong sự mở rộng đạo hàm biên. Chúng tôi cũng suy ra tensor năng lượng-momentum và dòng điện cho các cấu hình này lên đến bậc hai trong sự mở rộng đạo hàm biên. Chúng tôi phát hiện một thuật ngữ mới trong dòng điện khi có sự tương tác Chern-Simons trong khối, do đó giải quyết một sự không khớp trước đó giữa nhiệt động lực học của các lỗ đen quay mang điện và thủy động lực học biên. Chúng tôi cũng đã xác nhận rằng tất cả các biểu thức của chúng tôi là bất biến dưới các biến đổi Weyl biên như mong đợi.

Từ khóa

#lỗ đen mang điện; brane đen; thủy động lực học; tensor năng lượng-momentum; dòng điện; tương tác Chern-Simons

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