On the inclusion of statistical matter in the non-relativistic limit of NS-NS supergravity
Eric Lescano
备注：
6 pages + references. V2:Correction in the scaling of c in eq.(17), which leads to well defined generalized correspondence. I am very grateful with my anonymous referee for pointing this out
我们结合动力学理论与弦对偶技术，将统计物质耦合到非相对论（NR）超引力背景中，使理论能以 T-duality 不变形式表述。与相对论情形类似，我们显式证明在 NR 极限下，多弦系统要求对统计物质采用粘性流体描述。这是通过使用完美流体的广义能量动量张量实现的，该张量在 T-duality 下保持协变性。
英文摘要：
We combine techniques from kinetic theory and string dualities to couple statistical matter to a non-relativistic (NR) supergravity background, enabling the theory to be formulated in a T-duality invariant form. Similarly to the relativistic case, we explicitly demonstrate that, in the NR limit, the many-strings system necessitates a viscous fluid description for the statistical matter. This is achieved using the generalized energy-momentum tensor of a perfect fluid, which remains covariant under T-duality.
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Carrollian limit of NS-NS and Heterotic Supergravity
Universidad San Sebastián, Facultad de Ingeniería（塞巴斯蒂安大学工程学院）；University of Wroclaw, Faculty of Physics and Astronomy（弗罗茨瓦夫大学物理与天文学学院）；Universidad Nacional Autónoma de México, Departamento de Física de Altas Energías, Instituto de Ciencias Nucleares（墨西哥国立自治大学高能物理系核科学研究所）
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We construct the basic Neveu-Schwarz (NS) brane solutions of non-relativistic string theory using longitudinal T-duality as a solution generating technique. Extending the NS background fields to a supergravity multiplet, we verify that all solutions we find are half-supersymmetric. The two perturbative solutions we find both have an interpretation as the background geometry outside a string-like object. Correspondingly, we refer to these non-Lorentzian backgrounds as winding string and unwound string solution. Whereas the winding string is part of the on-shell spectrum of non-relativistic stri…
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The non-relativistic formalism introduced by Berry and Robbins that naturally incorporates the spin-statistics connection is generalized relativistically. It is then extended to an arbitrary Kaluza-Klein space-time by a suitable generalization of the Schwinger treatment of angular momenta. This leads, in this approach, to the inclusion of the `internal' quantum numbers in the spin-statistics connection on an equal footing with spin.
