Abstract
Within the premise of canonical quantisation, we re-examine the quantum structure of bosonic tensionless string theory. In the classical theory, the worldsheet metric degenerates and the Bondi-Metnzer-Sachs (BMS) algebra arises as the residual symmetries on fixing the tensionless equivalent of the conformal gauge. In the quantum regime, we find, on careful examination, that there are multiple ways to impose constraints to restrict the physical Hilbert space, which in turn lead to three distinct choices of tensionless vacua. We analyse these vacua in detail, commenting on various aspects like the central charges and the spectrum around each of them.
Highlights
All fundamental theories of Nature are inherently quantum mechanical
We address the problem of quantisation of the classical closed bosonic tensionless string theory
Given that the 2D Galilean Conformal Algebra (GCA) is a contraction of the Virasoro algebra, this means that the symmetry structure of flat space could be understood as a limit of the symmetry structure of AdS3 space [7, 29]
Summary
All fundamental theories of Nature are inherently quantum mechanical. Classical physics, which rules most of our day-to-day experiences, emerges out of a classical or → 0 limit of quantum mechanics. Such comparison between intrinsic analysis and limiting approach can be extended to supersymmetric theory It has been shown, two distinct ultra-relativistic scalings on N = (1, 1), 2d super conformal algebra as the residual symmetry algebra of the tensile closed superstring theory, give rise to both homogeneous and inhomogeneous versions of super BMS3 algebra [8,9,10]. One of the vacua is the so-called induced vacuum, the vacuum of the induced representation of the underlying BMS algebra This follows from the ultrarelativistic limit of the string worldsheet and has intriguing features like the emergence of a long open string, as was recently described in [24]. The other one details the computation of central charges in the various vacua
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
