Abstract:Abstract:We discuss the quantization of a tensionless closed string in light-cone gauge. It is known that by using a Hamiltonian BRST scheme a tensionless string has no Lorentz anomaly in any space-time dimensions and no anomaly for the space-time conformal symmetry in two dimensions. In this paper, we show that a 3d tensionless closed string in light-cone gauge also has no anomaly of space-time conformal symmetry. We also study the spectrum of a 3d tensionless closed string.
“…It is interesting to note that in light of recent work in strings in three space-time dimensions which give rise to anyonic particles in its spectrum [22], there has been an effort to understand the JHEP01(2016)158 tensionless limit of this theory [23]. Since three dimensions is usually simpler to deal with, it would be of interest to see how all of these fit together with our analysis in this paper, adapted for the D = 3 case, fits together with the analysis of [22,23]. A list of other older work on the subject relevant for our present paper is [24]- [36].…”
Section: Symmetries Of Tensionless Stringsmentioning
confidence: 99%
“…Thus, in a generic 2D GCFT with a contracted direction ξ 1 and a non-contracted direction ξ 2 , which is labeled by its central terms c L and c M , the generators on (the degenerate version of) the cylinder are given by 23) and the EM tensor is of the form:…”
Abstract:We revisit the construction of the tensionless limit of closed bosonic string theory in the covariant formulation in the light of Galilean conformal symmetry that rises as the residual gauge symmetry on the tensionless worldsheet. We relate the analysis of the fundamentally tensionless theory to the tensionless limit that is viewed as a contraction of worldsheet coordinates. Analysis of the quantum regime uncovers interesting physics. The degrees of freedom that appear in the tensionless string are fundamentally different from the usual string states. Through a Bogoliubov transformation on the worldsheet, we link the tensionless vacuum to the usual tensile vacuum. As an application, we show that our analysis can be used to understand physics of strings at very high temperatures and propose that these new degrees of freedom are naturally connected with the long-string picture of the Hagedorn phase of free string theory. We also show that tensionless closed strings behave like open strings.
“…It is interesting to note that in light of recent work in strings in three space-time dimensions which give rise to anyonic particles in its spectrum [22], there has been an effort to understand the JHEP01(2016)158 tensionless limit of this theory [23]. Since three dimensions is usually simpler to deal with, it would be of interest to see how all of these fit together with our analysis in this paper, adapted for the D = 3 case, fits together with the analysis of [22,23]. A list of other older work on the subject relevant for our present paper is [24]- [36].…”
Section: Symmetries Of Tensionless Stringsmentioning
confidence: 99%
“…Thus, in a generic 2D GCFT with a contracted direction ξ 1 and a non-contracted direction ξ 2 , which is labeled by its central terms c L and c M , the generators on (the degenerate version of) the cylinder are given by 23) and the EM tensor is of the form:…”
Abstract:We revisit the construction of the tensionless limit of closed bosonic string theory in the covariant formulation in the light of Galilean conformal symmetry that rises as the residual gauge symmetry on the tensionless worldsheet. We relate the analysis of the fundamentally tensionless theory to the tensionless limit that is viewed as a contraction of worldsheet coordinates. Analysis of the quantum regime uncovers interesting physics. The degrees of freedom that appear in the tensionless string are fundamentally different from the usual string states. Through a Bogoliubov transformation on the worldsheet, we link the tensionless vacuum to the usual tensile vacuum. As an application, we show that our analysis can be used to understand physics of strings at very high temperatures and propose that these new degrees of freedom are naturally connected with the long-string picture of the Hagedorn phase of free string theory. We also show that tensionless closed strings behave like open strings.
We consider Polyakov theory of Bosonic strings in conformal gauge which are used to study conformal anomaly. However it exhibits ghost number anomaly. We show how this anomaly can be avoided by connecting this theory to that of in background covariant harmonic gauge which is known to be free from conformal and ghost number current anomaly, by using suitably constructed finite field dependent BRST transformation.
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