Inhomogeneous tensionless superstrings

Bagchi, Arjun; Banerjee, Aritra; Chakrabortty, Shankhadeep; Parekh, Pulastya

doi:10.1007/jhep02(2018)065

Cited by 47 publications

(65 citation statements)

References 59 publications

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“…It is very likely that a similar story would hold true in the supersymmetric case. This will be explored in upcoming work [53].…”

Section: Jhep10(2016)113 6 Conclusionmentioning

confidence: 99%

“…It is interesting to note that even though there is no scaling of the fermionic creation and annihilation operators with tension, as is clear from the above, there is still a non-trivial mixing of the modes which leads from the usual tensile theory to a theory with a different vacuum state. We would be dealing with the fermionic generators and the fermionic version of the Bogoliubov transformations in much greater detail in upcoming work [53].…”

Section: Jhep10(2016)113mentioning

confidence: 99%

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Tensionless superstrings: view from the worldsheet

Chakrabortty

Parekh

Bagchi

2016

J. High Energ. Phys.

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Abstract:In this brief note, we show that the residual symmetries that arise in the analysis of the tensionless superstrings in the equivalent of the conformal gauge is (a trivial extension of) the recently discovered 3d Super Bondi-Metzner-Sachs algebra, discussed in the context of asymptotic symmetries of 3d Supergravity in flat-spacetimes. This helps us uncover a limiting approach to the construction of the tensionless superstring from the point of view of the worldsheet, analogous to the one we had adopted earlier for the closed tensionless bosonic string.

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“…It is very likely that a similar story would hold true in the supersymmetric case. This will be explored in upcoming work [53].…”

Section: Jhep10(2016)113 6 Conclusionmentioning

confidence: 99%

Section: Jhep10(2016)113mentioning

confidence: 99%

Tensionless superstrings: view from the worldsheet

Chakrabortty

Parekh

Bagchi

2016

J. High Energ. Phys.

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“…To do this, we shall examine the possibility of occurrence of null states in the spectrum, i.e., states that are orthogonal to all states in the Hilbert space, including themselves. More details of the analysis of this section can be found in [48] and Appendix D. This can be viewed as the supersymmetric generalization of the bosonic chiral truncation done in [17,49].…”

Section: B Null State Analysismentioning

confidence: 99%

“…A truncation in a supersymmetric theory leading to a theory without supersymmetry is unusual. This is especially true when one considers the case of tensionless superstrings, as considered in [48]. However, an analysis of null states in this algebra carried out in [48] indicates that this truncation is not an allowed truncation.…”

Section: B Sgca H or The Democratic Limitmentioning

confidence: 99%

“…This is especially true when one considers the case of tensionless superstrings, as considered in [48]. However, an analysis of null states in this algebra carried out in [48] indicates that this truncation is not an allowed truncation. We are yet to understand what prevents this truncation from the point of view of the bulk, and we leave this to future work.…”

Section: B Sgca H or The Democratic Limitmentioning

confidence: 99%

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Flatspace chiral supergravity

et al. 2018

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We propose a holographic duality between a 2 dimensional (2d) chiral superconformal field theory and a certain theory of supergravity in 3d with flatspace boundary conditions that is obtained as a double scaling limit of a parity breaking theory of supergravity. We show how the asymptotic symmetries of the bulk theory reduce from the "despotic" super Bondi-Metzner-Sachs algebra (or equivalently the inhomogeneous super Galilean conformal algebra) to a single copy of the super-Virasoro algebra in this limit and also reproduce the same reduction from a study of null vectors in the putative 2d dual field theory.

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Integrable systems with BMS3 Poisson structure and the dynamics of locally flat spacetimes

Fuentealba

Matulich

Pérez

et al. 2018

J. High Energ. Phys.

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We construct a hierarchy of integrable systems whose Poisson structure corresponds to the BMS 3 algebra, and then discuss its description in terms of the Riemannian geometry of locally flat spacetimes in three dimensions.The analysis is performed in terms of two-dimensional gauge fields for isl(2, R), being isomorphic to the Poincaré algebra in 3D. Although the algebra is not semisimple, the formulation can still be carried out à la Drinfeld-Sokolov because it admits a nondegenerate invariant bilinear metric. The hierarchy turns out to be bi-Hamiltonian, labeled by a nonnegative integer k, and defined through a suitable generalization of the Gelfand-Dikii polynomials. The symmetries of the hierarchy are explicitly found. For k ≥ 1, the corresponding conserved charges span an infinite-dimensional Abelian algebra without central extensions, so that they are in involution; while in the case of k = 0, they generate the BMS 3 algebra. In the special case of k = 1, by virtue of a suitable field redefinition and time scaling, the field equations are shown to be equivalent to the ones of a specific type of the Hirota-Satsuma coupled KdV systems. For k ≥ 1, the hierarchy also includes the so-called perturbed KdV equations as a particular case. A wide class of analytic solutions is also explicitly constructed for a generic value of k.Remarkably, the dynamics can be fully geometrized so as to describe the evolution of spacelike surfaces embedded in locally flat spacetimes. Indeed, General Relativity in 3D can be endowed with a suitable set of boundary conditions, so that the Einstein equations precisely reduce to the ones of the hierarchy aforementioned. The symmetries of the integrable systems then arise as diffeomorphisms that preserve the asymptotic form of the spacetime metric, and therefore, they become Noetherian. The infinite set of conserved charges is then recovered from the corresponding surface integrals in the canonical approach.

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Inhomogeneous tensionless superstrings

Cited by 47 publications

References 59 publications

Tensionless superstrings: view from the worldsheet

Tensionless superstrings: view from the worldsheet

Flatspace chiral supergravity

Integrable systems with BMS3 Poisson structure and the dynamics of locally flat spacetimes

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