3D strings and other anyonic things

Mezincescu, Luca; Townsend, Paul

doi:10.1002/prop.201200001

Cited by 3 publications

(4 citation statements)

References 27 publications

(36 reference statements)

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“…We refer to (1.10) and (1.11) as the exact Nambu-Goto spectrum even if we know that this Ansatz is incompatible with Lorentz invariance in D < 26 [41], except maybe in D = 3 [42].…”

Section: Introductionmentioning

confidence: 99%

Quantisation of the effective string with TBA

Caselle

Fioravanti

Gliozzi

et al. 2013

J. High Energ. Phys.

125

180

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In presence of a static pair of sources, the spectrum of low-lying states of whatever confining gauge theory in D space-time dimensions is described, at large source separations, by an effective string theory. In the far infrared the latter flows, in the static gauge, to a two-dimensional massless free-field theory. It is known that the Lorentz invariance of the gauge theory fixes uniquely the first few subleading corrections of this free-field limit. We point out that the first allowed correction -a quartic polynomial in the field derivatives -is exactly the composite field TT , built with the chiral components, T andT , of the energy-momentum tensor. This irrelevant perturbation is quantum integrable and yields, through the thermodynamic Bethe Ansatz (TBA), the energy levels of the string which exactly coincide with the Nambu-Goto spectrum. We obtain this way the results recently found by Dubovsky, Flauger and Gorbenko. This procedure easily generalizes to any two-dimensional CFT. It is known that the leading deviation of the Nambu-Goto spectrum comes from the boundary terms of the string action. We solve the TBA equations on an infinite strip, identify the relevant boundary parameter and verify that it modifies the string spectrum as expected.

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“…We refer to (1.10) and (1.11) as the exact Nambu-Goto spectrum even if we know that this Ansatz is incompatible with Lorentz invariance in D < 26 [41], except maybe in D = 3 [42].…”

Section: Introductionmentioning

confidence: 99%

Quantisation of the effective string with TBA

Caselle

Fioravanti

Gliozzi

et al. 2013

J. High Energ. Phys.

125

180

View full text Add to dashboard Cite

show abstract

“…The investigation of states with various helicities or spins, such as the case of the 3-dim. tensionful string in the light-cone gauge [46,47,48,49,54,55,56], is interesting and important for the construction of a interacting tensionless string theory. Although there are abundant spectrum even in a single string, there will be new interesting feature or some restriction in the interacting theory.…”

Section: Discussionmentioning

confidence: 99%

“…Because there is not any restriction except for D = 3 in the case of the bosonic tensionful string, the operator ordering constant is undetermined. Such an ambiguity is removed for a tensionful superstring [46,47,48,49]. Similarly, the ambiguity in three dimensional theories may be removed by the requirement of some larger symmetry.…”

mentioning

confidence: 99%

Quantum 3D tensionless string in light-cone gauge

Murase

2014

J. High Energ. Phys.

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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.

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“…In a series of articles [1][2][3][4] in recent years, Mezincescu and Townsend investigated bosonic strings and superstrings in target spaces of dimension 3, which is the only non-critical dimension where strings can be quantised consistently. They discovered that the spectra of 3-dimensional quantum strings always contain anyons (see [5] for a review). This showed the relevance of anyons (see, e.g., [6]) to string theory for the first time.…”

Section: Introductionmentioning

confidence: 99%

Extended Poincaré supersymmetry in three dimensions and supersymmetric anyons

Chaichian

Tureanu

Zhang

2012

Journal of Mathematical Physics

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We classify the unitary representations of the extended Poincaré supergroups in three dimensions. Irreducible unitary representations of any spin can appear, which correspond to supersymmetric anyons. Our results also show that all irreducible unitary representations necessarily have physical momenta. This is in sharp contrast to the ordinary Poincaré group in three dimensions, that admits in addition irreducible unitary representations with non-physical momenta, which are discarded on physical grounds.

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3D strings and other anyonic things

Abstract: We explain how fractional spin and statistics are relevant to (super)strings in a three-dimensional (3D) Minkowski spacetime.Comment: 5p. Contribution to the XVII European Workshop on String Theory 2011. Padua, Italy, 5-9 September 2011. v2 adds citations and corrects minor error

Cited by 3 publications

References 27 publications

Quantisation of the effective string with TBA

Quantisation of the effective string with TBA

Quantum 3D tensionless string in light-cone gauge

Extended Poincaré supersymmetry in three dimensions and supersymmetric anyons

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