Null infinity as SU(2) Chern–Simons theories and its quantization.
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| Title: | Null infinity as SU(2) Chern–Simons theories and its quantization. |
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| Authors: | Tan, Hongwei1 (AUTHOR) honweitan@hnit.edu.cn, Xiao, Kui1 (AUTHOR) xiaokui@hnit.edu.cn, Wang, Shoucheng1 (AUTHOR) scwang@hnit.edu.cn |
| Source: | European Physical Journal C -- Particles & Fields. Jan2026, Vol. 86 Issue 1, p1-18. 18p. |
| Subjects: | Chern-Simons gauge theory, Quantization (Physics), Entropy, Microstates (Statistical mechanics), Spacetime, Symplectic geometry |
| Abstract: | This paper studies the quantization of the future null infinity ( I + ) of an asymptotically flat spacetime. Based on the observation by Ashtekar and Speziale that I + can be regarded as an extremal weakly isolated horizon, we extend the quantization framework developed for weakly isolated horizon to quantize I + . We first show that the symplectic structure of I + is equivalent to the sum of the symplectic structures of two SU(2) Chern–Simons theories with opposite levels. Based on this observation, we apply Chern–Simons quantization approach to quantize I + . Finally, we compute the entropy of I + by counting the microstates, showing that it is proportional to the area of Δ ~ , a spacelike cross-section of I + . Our result is consistent with the universal entropy formula in the framework of (weakly) isolated horizon. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | This paper studies the quantization of the future null infinity ( I + ) of an asymptotically flat spacetime. Based on the observation by Ashtekar and Speziale that I + can be regarded as an extremal weakly isolated horizon, we extend the quantization framework developed for weakly isolated horizon to quantize I + . We first show that the symplectic structure of I + is equivalent to the sum of the symplectic structures of two SU(2) Chern–Simons theories with opposite levels. Based on this observation, we apply Chern–Simons quantization approach to quantize I + . Finally, we compute the entropy of I + by counting the microstates, showing that it is proportional to the area of Δ ~ , a spacelike cross-section of I + . Our result is consistent with the universal entropy formula in the framework of (weakly) isolated horizon. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 14346044 |
| DOI: | 10.1140/epjc/s10052-025-15260-0 |
