Effective one-loop scalar Lagrangian in no-scale supergravity models

Burton, Joshua W.; Gaillard, Mary K.; Jain, Vidyut

doi:10.1103/physrevd.41.3118

Cited by 22 publications

(59 citation statements)

References 47 publications

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“…That work extended the results of several earlier calculations [37]- [40] on loop corrections to supergravity. In particular, using specific choices of the gauge fixing and of the expansion of the action, the authors were able t o cast the results in an especially simple form in which most of the one-loop corrections can be interpreted in terms of renormalizations.…”

Section: Introductionsupporting

confidence: 77%

“…'In the notation of (3.1), Z,, = -2; including the contribution proportional to DetZ,, we get a quartically divergent term proportional to in 2 which cancels a similar contribution from the graviton ghost [37]. where Cg) is the Casimir of the adjoint representation and the field redefinition covariant scalar derivative D; is defined in Chapter 3.…”

Section: Yang-mills Gauge Fixingmentioning

confidence: 99%

“…For the gravitino, two types of gauge fixing have been used: the Landau gauge [36,37] + y e + = 0, which is implemented with the aid of an auxiliary field, and the smeared gauge *Since we set background fermions to zero, our effective action cannot be manifestly supersymmetric.…”

Section: Gauge-fixing the Gravity Supermultipletmentioning

confidence: 99%

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Topics in N = 1 supergravity in four dimensions and superstring effective field theories beyond tree-level

Saririan

1997

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In this thesis, we present some works in the direction of studying quantum effects in locally supersymmetric effective field theories that appear in the low energy limit of suprestring theory. After reviewing the Kahler covariant formulation of supergravity, we show the calculation of the divergent one-loop contribution to the effective boson Lagrangian for supergravity, including the Yang-Mills sector and the helicity-odd operators that arise from integration over fermion fields. The only restriction is on the Yang-Mills kinetic energy normalization function, which is taken diagonal in gauge indices, as in AcknowledgementsMy deepest gratitude goes to my advisor, Professor Mary K. Gaillard, for all the inspiration: support, friendship, and help that she has provided throughout my graduate research at Berkeley. I have benefitted immensely from her keen approach and sense of direction in physics; she has patiently guided me through a difficult but intriguing area of physics, namely superstring phenomenology, and has opened my eyes on lengthy and intricate calculations. In one sentence, her deep intellect and warm personality has made being her student a pleasure.

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Section: Introductionsupporting

confidence: 77%

Section: Yang-mills Gauge Fixingmentioning

confidence: 99%

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Topics in N = 1 supergravity in four dimensions and superstring effective field theories beyond tree-level

Saririan

1997

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“…Most often, supergravity interactions have been studied at the component level and then the anomaly written as a globally supersymmetric superspace integral, which is an approximation to the true supergravity anomaly [89,90,91,92]. The supergravity one loop effective lagrangian and its transformation properties has been studied in great detail by Gaillard and collaborators, using Pauli-Villars regularization techniques [93]. These calculations were recently used to infer a locally supersymmetric superspace expression for the anomaly at one loop [94].…”

Section: A Cancellation Of the Modular Anomalymentioning

confidence: 99%

Spectra in Standard-like Z3 Orbifold Models

Giedt

2002

Annals of Physics

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General features of the spectra of matter states in all 175 models found in a previous work by the author are discussed. Only twenty patterns of representations are found to occur. Accomodation of the Minimal Supersymmetric Standard Model (MSSM) spectrum is addressed. States beyond those contained in the MSSM and nonstandard hypercharge normalization are shown to be generic, though some models do allow for the usual hypercharge normalization found in SU (5) embeddings of the Standard Model gauge group. The minimum value of the hypercharge normalization consistent with accomodation of the MSSM is determined for each model. In some cases, the normalization can be smaller than that corresponding to an SU (5) embedding of the Standard Model gauge group, similar to what has been found in free fermionic models. Bizzare hypercharges typically occur for exotic states, allowing for matter which does not occur in the decomposition of SU (5) representations-a result which has been noted many times before in four-dimensional string models. Only one of the twenty patterns of representations, comprising seven of the 175 models, is found to be without an anomalous U (1). The sizes of nonvanishing vacuum expectation values induced by the anomalous U (1) are studied. It is found that large radius moduli stabilization may lead to the breakdown of σ-model perturbativity. Various quantities of interest in effective supergravity model building are tabulated for the set of 175 models. In particular, it is found that string moduli masses appear to be generically quite near the gravitino mass. String scale gauge coupling unification is shown to be possible, albeit contrived, in an example model. The intermediate scales of exotic particles are estimated and the degree of fine-tuning is studied.

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“…Our notation is thatUof reference [1], and is outlinedbriefiy in the appendix. Here and, in the case that (1) is part of a supergravity Lagrangian, are the real and imaginary parts, respectively, of a single holomorphic function.…”

Section: Introductionmentioning

confidence: 99%