Conformal and poincaré tensor calculi in N=1 supergravity

Kugo, Taichiro; Uehara, Shozo

doi:10.1016/0550-3213(83)90463-7

Cited by 185 publications

(223 citation statements)

References 22 publications

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“…The formalism of superconformal supergravity is reviewed in refs. [18], and we will use the same conventions 6 . The general idea is to firstly construct an action invariant under the transformations of the superconformal algebra.…”

Section: Supergravity With a Linear Multiplet: Preliminariesmentioning

confidence: 99%

“…can be calculated using the rules of superconformal tensor calculus [18]. It turns out that neither d nor f contain contributions involving the curvature scalar R. Then, the Einstein lagrangian appears in…”

Section: The Chiral Casementioning

confidence: 99%

“…We use the superconformal approach to minimal supergravity, as reviewed in [18]. In section 3, we present the basics of our techniques and give a detailed discussion of the gauge fixing of scale invariance in a superconformal theory with a linear multiplet.…”

Section: Introductionmentioning

confidence: 99%

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The linear multiplet and quantum four-dimensional string effective actions

1994

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In four-dimensional heterotic superstrings, the dilaton and antisymmetric tensor fields belong to a linear N = 1 supersymmetric multiplet L. We study the lagrangian describing the coupling of one linear multiplet to chiral and gauge multiplets in global and local supersymmetry, with particular emphasis on string tree-level and loop-corrected effective actions. This theory is dual to an equivalent one with chiral multiplets only. But the formulation with a linear multiplet appears to have decisive advantages beyond string tree-level since, in particular, L is the string loop-counting parameter and the duality transformation is in general not exactly solvable beyond tree-level. This formulation allows us to easily deduce some powerful non-renormalization theorems in the effective theory and to obtain explicitly some loop corrections to the string effective supergravity for simple compactifications. Finally, we discuss the issue of supersymmetry breaking by gaugino condensation using this formalism.

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Section: Supergravity With a Linear Multiplet: Preliminariesmentioning

confidence: 99%

Section: The Chiral Casementioning

confidence: 99%

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The linear multiplet and quantum four-dimensional string effective actions

1994

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“…An appropriate framework to discuss minimal supergravities is the superconformal calculus [5,6,13,14] which we employ here. To go to the desired Poincaré supergravity one fixes the appropriate compensator field and breaks the conformal symmetry.…”

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confidence: 99%

On the Starobinsky model of inflation from supergravity

2013

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We discuss how the higher-derivative Starobinsky model of inflation originates from N = 1 supergravity. It is known that, in the old-minimal supergravity description written by employing a chiral compensator in the superconformal framework, the Starobinsky model is equivalent to a no-scale model with F -term potential. We show that the Starobinsky model can also be originated within the so-called new-minimal supergravity, where a linear compensator superfield is employed. In this formulation, the Starobinsky model is equivalent to standard supergravity coupled to a massive vector multiplet whose lowest scalar component plays the role of the inflaton and the vacuum energy is provided by a D-term potential. We also point out that higher-order corrections to the supergravity Lagrangian represent a threat to the Starobinsky model as they can destroy the flatness of the inflaton potential in its scalar field equivalent description.

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“…The SUGRA-covariant derivative depends on the graviton, gravitino, and vector auxiliary field, with full expressions given in Ref. [16]. For our purposes, we are mainly interested in anomalous couplings to the vector auxiliary field b µ , which arise because the conformal compensator has conformal weight 1.…”

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confidence: 99%

Supergravity computations without gravity complications

2011

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The conformal compensator formalism is a convenient and versatile representation of supergravity (SUGRA) obtained by gauge fixing conformal SUGRA. Unfortunately, practical calculations often require cumbersome manipulations of component field terms involving the full gravity multiplet. In this paper, we derive an alternative gauge fixing for conformal SUGRA which decouples these gravity complications from SUGRA computations. This yields a simplified tree-level action for the matter fields in SUGRA which can be expressed compactly in terms of superfields and a modified conformal compensator. Phenomenologically relevant quantities such as the scalar potential and fermion mass matrix are then straightforwardly obtained by expanding the action in superspace.

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Conformal and poincaré tensor calculi in N=1 supergravity

Cited by 185 publications

References 22 publications

The linear multiplet and quantum four-dimensional string effective actions

The linear multiplet and quantum four-dimensional string effective actions

On the Starobinsky model of inflation from supergravity

Supergravity computations without gravity complications

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