通过玻色化得到的非临界M理论的有效场论
Effective Field Theory of Noncritical M-theory from Bosonization
- University of Massachusetts, Amherst（马萨诸塞大学阿默斯特分校）
- University of Tokyo（东京大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
将共伴轨道方法扩展到具有中心反谐振子势的双标度非相对论费米液体，在1+1d和2+1d分别有成果，利用非临界M理论的可积性计算费米子密度相关函数，向非临界M理论的有效时空引力描述迈进。
AI中文摘要：
我们将Delacretaz-Du-Mehta-Son系统化的玻色化共伴轨道方法扩展到具有中心反演谐波振荡器势的双标度非相对论费米液体。在1+1d中，这重现了描述c = 1矩阵模型准粒子激发的Das-Jevicki集体场论。在2+1d中，这产生了非临界M理论的有效场论……
英文摘要：
We extend the coadjoint orbit approach to bosonization systematized by Delacretaz-Du-Mehta-Son to double-scaled non-relativistic Fermi liquids with central inverted harmonic oscillator potential. In 1+1d, this reproduces the Das-Jevicki collective field theory describing quasiparticle excitations of the $c=1$ matrix model. In 2+1d, this yields an effective field theory for noncritical M-theory, namely the 2+1d Fermi liquid proposed by Hořava and Keeler as a unified framework for characterizing noncritical string vacua. With a suitable gauge choice this theory reduces to a continuous family of 1+1d chiral bosons resembling Das-Jevicki collective fields coupled by additional interactions. Utilizing the underlying integrability of noncritical M-theory, we compute select fermion density correlation functions order-by-order in perturbation theory, and provide evidence that they agree with their Fermi liquid counterparts in a suitable semiclassical limit. This represents a step toward an effective spacetime gravity description of noncritical M-theory, which we expect to shed light on both the landscape of 2d noncritical strings and 3d quantum gravity in general.
