Introduction

Erbin, Harold

doi:10.1007/978-3-030-65321-7_1

Cited by 5 publications

(2 citation statements)

References 82 publications

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“…This is precisely the situation investigated three decades ago in [69] and it is argued that the Feynman region gets covered infinitely-many times. 4 Our claim is that the curve (74), in the λ → ∞ limit, produces the behavior for the same curve shown in figure 10 of [69]. We have qualitatively observed that 74) appears to approach the behavior given in [69] as L increases, see figure 5.…”

Section: The Vertex and Feynman Regionssupporting

confidence: 63%

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Hyperbolic string tadpole

Firat

2023

SciPost Phys.

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Hyperbolic geometry on the one-bordered torus is numerically uniformized using Liouville theory. This geometry is relevant for the hyperbolic string tadpole vertex describing the one-loop quantum corrections of closed string field theory. We argue that the Lamé equation, upon fixing its accessory parameter via Polyakov conjecture, provides the input for the characterization. The explicit expressions for the Weil-Petersson metric as well as the local coordinates and the associated vertex region for the tadpole vertex are given in terms of classical torus conformal blocks. The relevance of this vertex for vacuum shift computations in string theory is highlighted.

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Section: The Vertex and Feynman Regionssupporting

confidence: 63%

“…Closed string field theory (CSFT) is a second-quantized formalism for string theory (for reviews see [1][2][3][4]). Despite the ongoing activity at multiple fronts in recent years , an explicit description of string vertices amenable to practical calculations is still lacking and this prevents further developments in CSFT.…”

Section: Introductionmentioning

confidence: 99%

Hyperbolic string tadpole

Firat

2023

SciPost Phys.

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Embedding Unimodular Gravity in string theory

Garay

García-Moreno

2023

J. High Energ. Phys.

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Unimodular Gravity is a theory displaying Weyl rescalings of the metric and transverse (volume-preserving) diffeomorphisms as gauge symmetries, as opposed to the full set of diffeomorphisms displayed by General Relativity. Recently, we presented a systematic comparison of both theories, concluding that both of them are equivalent in everything but the behaviour of the cosmological constant under radiative corrections. A careful study of how Unimodular Gravity can be embedded in the string theory framework has not been provided yet and was not analyzed there in detail. In this article, we provide such an explicit analysis, filling the gap in the literature. We restrict ourselves to the unoriented bosonic string theory in critical dimension for the sake of simplicity, although we argue that no differences are expected for other string theories. Our conclusions are that both a Diff and a WTDiff invariance principle are equally valid for describing the massless excitations of the string spectrum.

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Closed string theory without level-matching at the free level

Erbin

Médevielle

2023

J. High Energ. Phys.

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In its traditional form, the string field in closed string field theory is constrained by the level-matching condition, which is imposed beside the action. By analogy with the similar problem for the Ramond sector, it was understood by Okawa and Sakaguchi how to lift this condition and work with unconstrained field by introducing spurious free fields. These authors also pointed out that new backgrounds may exist thanks to a new gauge field which is trivial on flat space, but can generate fluxes on a toroidal background. In this paper, we perform a complete study of the free theory at the tachyonic and massless levels with the aim of setting the stage for studying backgrounds without level-matching.

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Introduction

Cited by 5 publications

References 82 publications

Hyperbolic string tadpole

Hyperbolic string tadpole

Embedding Unimodular Gravity in string theory

Closed string theory without level-matching at the free level

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