Four-loop β-function for the N = 1 and N = 2 supersymmetric non-linear sigma model in two dimensions

Grisaru, Marcus T.; Ven, A.E.M. van de; Zanon, D.

doi:10.1016/0370-2693(86)90408-9

Cited by 308 publications

(218 citation statements)

References 14 publications

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“…These operators are higher derivative corrections to the gravitational effective action that can arise both classically and at loop level. The first term that becomes sensitive to the number of axions is [15] …”

Section: Radiative Corrections In String Theorymentioning

confidence: 99%

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N-Flation

Dimopoulos¹,

Kachru²,

McGreevy³

et al. 2005

232

533

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Section: Radiative Corrections In String Theorymentioning

confidence: 99%

“…The second term, which arises from the reduction of the sigma-model four-loop R 4 correction [15], is proportional to the "density of cycles in string units." It can be interpreted as a back reaction of the internal space to packing a huge amount of topology in a small volume.…”

Section: Radiative Corrections In String Theorymentioning

confidence: 99%

N-Flation

Dimopoulos¹,

Kachru²,

McGreevy³

et al. 2005

232

533

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show abstract

“…The only possibility for extending the transformation (13) is to add the trivial term H abc,y , i.e., R abcy → −κH aby,c + αH abc,y (30) where the coefficient α is an arbitrary constant. The above extra term in the transformation of the Riemann tensor is zero because of the implicit assumption in the T-duality transformations that fields are independent of the Killing coordinate.…”

Section: R 2 (∂H) 2 Couplingsmentioning

confidence: 99%

T-duality of the Riemann curvature corrections to supergravity

Garousi

2013

Physics Letters B

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We examine the sigma model Riemann curvature corrections to the supergravity action under T-duality transformations. Using the compatibility of the effective action with on-shell linear T-duality and with the S-matrix calculations as guiding principles, we have incorporated in this action the couplings of four B-field strengths and the couplings of two Riemann curvatures and two B-field strengths at order α ′3 . Using the S-matrix calculations we have also found new dilaton couplings in the string frame at this order.

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“…The supersymmetry transformation rules (17)- (19) involve the zehnbein fields e µ a and their inverses e a µ . They are related to the metric tensor and its inverse via g µν = e µ a e ν b η ab , g µν = e a µ e b ν η ab .…”

Section: B Notation and Conventionsmentioning

confidence: 99%

Supersymmetric string waves

1993

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We present plane-wave-type solutions of the lowest order superstring effective action which have unbroken space-time supersymmetries. They describe dilaton, axion and gauge fields in a stringy generalization of the Brinkmann metric. Some conspiracy between the metric and the axion field is required.We show that there exists a special class of these solutions, for which α ′ stringy corrections to the effective on-shell action, to the equations of motion (and therefore to the solutions themselves), and to the supersymmetry transformations vanish. We call these solutions supersymmetric string waves (SSW).1 Bitnet: bergshoeff@hgrrug5 2 On leave of absence from: Lebedev Physical Institute,

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Four-loop β-function for the N = 1 and N = 2 supersymmetric non-linear sigma model in two dimensions

Cited by 308 publications

References 14 publications

N-Flation

N-Flation

T-duality of the Riemann curvature corrections to supergravity

Supersymmetric string waves

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