Conditions of the embedding space of p-branes from their constraint algebras

Marquard, U.; Scholl, M.

doi:10.1016/0370-2693(88)91169-0

Cited by 23 publications

(16 citation statements)

References 10 publications

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“…Kubo has argued that the spacetime dimension d= 27 is "critical" for the bosonic membrane [70]. His argument is based on the claim that in A = 27 the narrow membrane limit for a membrane compactified on a torus has a spectrum that includes massless particles, Further evidence for d = 27 as the critical dimension of the bosonic membrane has been found by Marquard and Scholl [71] by demanding the cancellation of certain divergent central extension terms in the algebra of the quantum constraints. Hoppe has shown that the spherical membrane can be thought of as an SU(co) gauge theory [ 161.…”

Section: First Quantized Membranesmentioning

confidence: 95%

Properties of the eleven-dimensional supermembrane theory

1988

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We study in detail the structure of the Lorentz covariant, spacetime supersymmetric lldimensional supermembrane theory. We show that for a flat spacetime background, the spacetime supersymmetry becomes an N =8 world volume (rigid) supersymmetry in a "physical" gauge; we also present the field equations and transformation rules in a "lightcone" gauge. We semiclassically quantize the closed torodial supermembrane on a spacetime (Minkowki), x (flu/ 'I-torus), and review some mathematical results that are relevant for path integral quantization. 'cl

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Section: First Quantized Membranesmentioning

confidence: 95%

Properties of the eleven-dimensional supermembrane theory

1988

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“…and γ i m 1 ,...,mp , β i m 1 ,...,mp are bosonic ghosts and ghost momenta corresponding to S i m 1 ,...,mp . Plugging (14) into (13) and choosing positive modes to annihilate the vacuum we find the following critical dimension for the spinning p-brane…”

Section: The Tensionless P-branementioning

confidence: 99%

“…Investigating the quantum behavior we find the theory to be anomaly free. Using normal ordering we reproduce the result of [13] which puts restrictions on the space time dimensions for the tensile p-brane. We also make some remarks on the generalization of this result to the case of the spinning p-brane.…”

Section: Introductionmentioning

confidence: 99%

Tensionless p-branes with manifest conformal invariance

Saltsidis

1997

Physics Letters B

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“…[18,19,21] for the existence of critical dimension of the membrane and the related topics. ), because we should look at the strongly coupled region of the theory to do so.…”

Section: Jhep04(2004)047mentioning

confidence: 99%

In memory of Yulii Borisovich Khariton

Avrorin¹,

Il'kaev²,

Mikhailov³

et al. 1997

Phys.-Usp.

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Recently Sekino and Yoneya proposed a way to regularize the world volume theory of membranes wrapped around S 1 by matrices and showed that one obtains matrix string theory as a regularization of such a theory. We show that this correspondence between matrix string theory and wrapped membranes can be obtained by using the usual M(atrix) theory techniques. Using this correspondence, we construct the super-Poincaré generators of matrix string theory at the leading order in the perturbation theory. It is shown that these generators satisfy 10 dimensional super-Poincaré algebra without any anomaly.

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Conditions of the embedding space of p-branes from their constraint algebras

Cited by 23 publications

References 10 publications

Properties of the eleven-dimensional supermembrane theory

Properties of the eleven-dimensional supermembrane theory

Tensionless p-branes with manifest conformal invariance

In memory of Yulii Borisovich Khariton

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