Beta functions for the duality-invariant sigma model

Bonezzi, Roberto; Codina, Tomas; Hohm, Olaf

doi:10.1007/jhep10(2021)192

Cited by 5 publications

(17 citation statements)

References 41 publications

(80 reference statements)

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“…In [1] we computed the complete duality invariant one-loop beta function for bosonic string theory in a Kaluza-Klein formulation with n external and d internal coordinates (with target-space fields being independent of the internal coordinates), completing earlier results in [7,8]. We showed that vanishing of the Weyl anomaly implies the two-derivative equations determined by Maharana and Schwarz [9].…”

Section: Introductionsupporting

confidence: 63%

“…However, the anomalous transformation of the one-loop effective action can be canceled by using the Green-Schwarz mechanism, assigning a suitable transformation to the external B-field. This observation gives a worldsheet interpretation to the target-space analysis in [11,12] that showed that in general O(d, d) transformations need to be α -deformed, 1 although this deformation vanishes in the cosmological setting that we focus on here. Similarly, a theory of chiral bosons generally displays gravitational anomalies, but one expects that for an equal number of left-moving and right-moving bosons, as in Tseytlin's model, these anomalies cancel [28][29][30].…”

Section: Jhep02(2022)109mentioning

confidence: 71%

“…in terms of two independent bare couplings g (1,2) 0µν . An analogous procedure was employed, for instance, in [31] to renormalize four-dimensional theories with chiral fermions.…”

Section: Jhep02(2022)109mentioning

confidence: 99%

“…We choose, as usual, to work on a flat worldsheet, thereby discarding the dilaton coupling. As is well known [1,43,44], the dilaton contribution to the field equations is fixed on general grounds by the Weyl anomaly equations, once the beta functions of the other couplings are known. At this point, one may think that it would be more convenient to work with a single worldsheet coupling g µν (X) and use the ansatz (3.1) at the end of the computation.…”

Section: Jhep02(2022)109mentioning

confidence: 99%

“…In this paper, which is a sequel to [1], our goal is twofold: first, we continue the program of computing duality invariant beta functions for the string sigma model. Second, we revisit (and reaffirm) the quantum consistency of the duality invariant sigma model due to Tseytlin [2] and its generalizations [3][4][5].…”

Section: Introductionmentioning

confidence: 99%

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Duality invariant string beta functions at two loops

Bonezzi

Codina

Hohm

2022

J. High Energ. Phys.

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We compute, for cosmological backgrounds, the O(d, d; ℝ) invariant beta functions for the sigma model of the bosonic string at two loops. This yields an independent first-principle derivation of the order α′ corrections to the cosmological target-space equations. To this end we revisit the quantum consistency of Tseytlin’s duality invariant formulation of the worldsheet theory. While we confirm the absence of gravitational (and hence Lorentz) anomalies, our results show that the minimal subtraction scheme is not applicable, implying significant technical complications at higher loops. To circumvent these we then change gears and use the Polyakov action for cosmological backgrounds, applying a suitable perturbation scheme that, although not O(d, d; ℝ) invariant, allows one to efficiently determine the O(d, d; ℝ) invariant beta functions.

show abstract

Section: Introductionsupporting

confidence: 63%

Section: Jhep02(2022)109mentioning

confidence: 71%

“…in terms of two independent bare couplings g (1,2) 0µν . An analogous procedure was employed, for instance, in [31] to renormalize four-dimensional theories with chiral fermions.…”

Section: Jhep02(2022)109mentioning

confidence: 99%

Section: Jhep02(2022)109mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Duality invariant string beta functions at two loops

Bonezzi

Codina

Hohm

2022

J. High Energ. Phys.

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Non-linear stability of α′-corrected Friedmann equations

Bernardo

Chojnacki

Comeau

2023

J. High Energ. Phys.

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We study the non-linear stability of fixed-point solutions to the α′-exact equations from O(d, d) invariant cosmology, with and without matter perturbations. Previous non-linear analysis in the literature is revisited, and its compatibility with known linear perturbation results is shown. Some formal aspects of cosmological perturbations in duality invariant cosmology are discussed, and we show the existence of time-reparameterization invariant variables for perturbations.

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Superstring cosmology — a complementary review

Brandenberger

2023

J. Cosmol. Astropart. Phys.

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In this review, a number of approaches to superstring cosmology which make use of key features which distinguish string theory from point particle theories are discussed, with particular emphasis on emergent scenarios. One motivation for the discussion is the realization that, in order to describe the evolution of the very early universe, it is necessary to go beyond a conventional effective field theory (EFT) analysis. Some of the conceptual problems of an EFT analysis will be discussed. The review begins with a summary of the criteria for a successful early universe scenario, emphasizing that cosmic inflation is not the only scenario of early universe cosmology which is consistent with current cosmological observations. Bouncing and emergent scenarios as interesting alternatives are introduced. Some realizations of these scenarios from superstring theory are reviewed, e.g. String Gas Cosmology, the Pre-Big-Bang scenario, the Ekpyrotic model, Double Field Theory cosmology and matrix model cosmology. In light of the difficulties in obtaining cosmic inflation from string theory (at the level of EFT), and realizing that there are promising examples of alternative early universe scenarios which are derived from basic principles of superstring theory, one must entertain the possibility that the cosmology emerging from string theory will not involve an extended period of accelerated expansion.

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Beta functions for the duality-invariant sigma model

Cited by 5 publications

References 41 publications

Duality invariant string beta functions at two loops

Duality invariant string beta functions at two loops

Non-linear stability of α′-corrected Friedmann equations

Superstring cosmology — a complementary review

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