Perturbative approach to D=10 superspace supergravity with a Lorentz Chern-Simons form

Raciti, M.; Riva, F.; Zanon, D.

doi:10.1016/0370-2693(89)91292-6

Cited by 25 publications

(45 citation statements)

References 15 publications

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“…However, theX found in [6], when truncated to zero-order in α ′ , is different from zero. Calling X =X| α ′ =0 the authors of ref.…”

mentioning

confidence: 88%

“…Moreover, the so called "poltergeister", appearing in N=1, D=10 supergravity theory when the Lorentz-Chern-Simons term is present, which in previous formulations [4,5,6] show up at order α ′ , in the formulation corresponding to (32) are The κ-anomaly cancellation mechanism in the heterotic superstring determines the superspace constraints for N=1, D=10 Supergravity-Super-Yang-Mills theory.…”

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confidence: 99%

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String κ-anomalies and D = 10 supergravity constraints: the solution of a puzzle

Lechner

1995

Physics Letters B

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The principal advantage of the Green-Schwarz heterotic string sigma model with respect to the Neveu-Schwarz-Ramond formulation is its manifest N=1, D=10 space-time supersymmetry. It is this property which renders it particularly suitable for the derivation of the low energy effective superstring theory, i.e. N=1, D=10 Supergravity-Super-Yang-Mills, in superspace. Indeed, the κ-anomaly cancellation mechanism [1] constitutes a systematic approach for the derivation of superspace constraints for the low energy effective theory which are automatically consistent with the Bianchi identities in superspace: the Wess-Zumino consistency condition on the κ-anomalies ensures that they can be cancelled by imposing suitable constraints on the superfields of the low energy theory and that with these constraints the Bianchi identities can be consistently solved.Along these lines in ref.[2], see also [3], the order α ′ one-loop κ-anomalies of the heterotic string sigma-model have been explicitly determined, by a direct perturbative computation, together with the order α ′ superspace constraints which give rise to their cancellation.On the other hand, exact solutions, i.e. to all orders in α ′ , of the relevant Bianchi identities have been found previously in the literature [4,5,6].In this letter we point out that the exact constraints found in this way, if truncated to order α ′ , appear to differ from the ones found through the κ-anomaly cancellation mechanism in ref.[2], the difference not being simply related to the usual ambiguity in the choice of standard constraints for a theory formulated in superspace. We present the solution of this puzzle by showing that the difference between the two sets of constraints is related on one hand to a trivial κ-anomaly and that, on the other hand, this difference can be eliminated by order-α ′ super-

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“…However, theX found in [6], when truncated to zero-order in α ′ , is different from zero. Calling X =X| α ′ =0 the authors of ref.…”

mentioning

confidence: 88%

mentioning

confidence: 99%

String κ-anomalies and D = 10 supergravity constraints: the solution of a puzzle

Lechner

1995

Physics Letters B

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“…Here K mnp ≡ e c p e b n e a m K abc . The mass-shell solution of (21) which is compatible with (12) -(15) can be obtained using the standard procedure [10], [9], [24] (see also [22]). We find nonzero components of H ABC -superfield in the form:…”

Section: The 3-form Axionic-field Sectormentioning

confidence: 99%

Five-Brane Lagrangian with Loop Corrections in Field-Theory Limit

Saulina

Terentiev

Zyablyuk

1997

Int. J. Mod. Phys. A

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Equations of motion and the lagrangian are derived explicitely for Dual D=10, N=1 Supergravity considered as a field theory limit of a Fivebrane. It is used the mass-shell solution of Heterotic String Bianchi Identites obtained in the 2dimensional σ-model two-loop approximation and in the tree-level Heterotic String approximation. As a result the Dual Supergravity lagrangian is derived in the one-loop Five-Brane approximation and in the lowest 6-dimensional σ-model approximaton.

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“…abc -superfield was discussed earlier in [8], [9], [25] using another parametrization (another set of constraints) .…”

Section: Sg3 Theorymentioning

confidence: 99%

“…The mass-shell solution of (3.1) which is compatible with (2.1)-(2.4) can be obtained using the constraint H αβγ = 0 in the standard procedure [24], [25], [8] . We find the nonzero components of the H ABC -superfield in the form:…”

Section: Sg3 Theorymentioning

confidence: 99%

Duality in N = 1, D = 10 superspace and supergravity with tree level superstring corrections

1996

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The equations of motion (e.m.'s) of the N=1, D=10 anomaly free supergravity, obtained in the framework of the superspace approach, are analyzed. The formal equivalence of the usual and dual supergravities is discussed at the level of e.m.'s. The great simplicity of the dual formulation is established. The possibillity of the lagrangian formulation of the dual supergravity is pointed out. The bosonic part of the lagrangian is found.

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Perturbative approach to D=10 superspace supergravity with a Lorentz Chern-Simons form

Cited by 25 publications

References 15 publications

String κ-anomalies and D = 10 supergravity constraints: the solution of a puzzle

String κ-anomalies and D = 10 supergravity constraints: the solution of a puzzle

Five-Brane Lagrangian with Loop Corrections in Field-Theory Limit

Duality in N = 1, D = 10 superspace and supergravity with tree level superstring corrections

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