Extended supersymmetric BMS3 algebras and their free field realisations

被引:35
作者
Banerjee, Nabamita [1 ]
Jatkar, Dileep P. [2 ,3 ]
Lodato, Ivano [1 ]
Mukhi, Sunil [1 ]
Neogi, Turmoli [1 ]
机构
[1] Indian Inst Sci Educ & Res, Honbi Bhabha Rd, Pune 411008, Maharashtra, India
[2] Harish Chandra Res Inst, Chhatnag Rd, Allahabad 211019, Uttar Pradesh, India
[3] Homi Bhabho Natl Inst, Training Sch Complex, Bombay 400085, Maharashtra, India
关键词
Conformal Field Theory; Extended Supersymmetry; Gauge-gravity correspondence; Space-Time Symmetries; GRAVITATIONAL WAVES; GENERAL RELATIVITY;
D O I
10.1007/JHEP11(2016)059
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We study N = (2, 4, 8) supersymmetric extensions of the three dimensional BMS algebra (BMS3) with most generic possible central extensions. We find that N-extended supersymmetric BMS3 algebras can be derived by a suitable contraction of two copies of the extended superconformal algebras. Extended algebras from all the consistent contractions are obtained by scaling left-moving and right-moving supersymmetry generators symmetrically, while Virasoro and R-symmetry generators are scaled asymmetrically. On the way, we find that the BMS/ GCA correspondence does not in general hold for supersymmetric systems. Using the beta-gamma and the b-c systems, we construct free field realisations of all the extended super-BMS3 algebras.
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页数:23
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