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Journal ArticleDOI

A four-loop calculation of the metric β-function for the bosonic σ-model and the string effective action

I. Jack, +2 more
- 14 Aug 1989 - 
- Vol. 322, Iss: 2, pp 431-470
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TLDR
In this paper, the four-loop (O( α ) 4 ) metric β-function for the two-dimensional bosonic non-linear σ-model was computed using an indirect method, which avoids a large part of the explicit calculation and as a byproduct yields the corresponding 4-loop low-energy sring effective action.
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This article is published in Nuclear Physics.The article was published on 1989-08-14. It has received 59 citations till now. The article focuses on the topics: Nambu–Goto action & Effective action.

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Citations
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Non-existence of a dilaton gravity action for the exact string black hole

TL;DR: In this paper, it was shown that no local diffeomorphism invariant two-dimensional theory of the metric and the dilaton without higher derivatives can describe the exact string black hole solution found a decade ago.
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Generalized Vaidya spacetime in Lovelock gravity and thermodynamics on the apparent horizon

TL;DR: In this paper, a generalized Vaidya solution in a generic Lovelock gravity was proposed, which generalizes the simple case in Gauss-Bonnet gravity reported recently by some authors.
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Quantum Gravity Constraints from Unitarity and Analyticity

TL;DR: In this article, the authors derived rigorous bounds on corrections to Einstein gravity using unitarity and analyticity of graviton scattering amplitudes in D≥4 spacetime dimensions, and systematically enumerated all such positivity bounds in D=4 and D=5 before extending to D ≥6.
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Strong-coupling expansion of cusp anomaly from quantum superstring

TL;DR: In this paper, the authors considered the world surface in AdS5 that ends on two intersecting null lines at the boundary and determined the 2-loop coefficient is a2 = −K where K is the Catalan's constant.
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Strong-coupling expansion of cusp anomaly from quantum superstring

TL;DR: In this paper, the authors considered the world surface in AdS_5 that ends on two intersecting null lines at the boundary and determined the cusp anomaly function f(\lambda) of the gauge coupling.
References
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Journal ArticleDOI

Vacuum configurations for superstrings

TL;DR: In this paper, the authors studied candidate vacuum configurations in ten-dimensional O(32) and E 8 × E 8 supergravity and superstring theory that have unbroken N = 1 supersymmetry in four dimensions.
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Strings in background fields

TL;DR: In this article, the propagation of strings in background fields, including the effects of metric, antisymmetric tensor, and dilaton expectation values, as well as gauge field backgrounds in the case of heterotic strings, is studied.
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Curvature Squared Terms and String Theories

TL;DR: The compatibility between the presence of curvature squared terms and the absence of ghost particles in the low energy limits of string theories is established in this article, where the Lagrangian σ√g d D ×(R μν ϱσ R μνϱσ σ −4 σ +R 2 ) leads to ghost-free nontrivial gravitational self-interactions for dimensions higher than four.
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Superstring Modifications of Einstein's Equations

TL;DR: In this paper, it was shown that generic Ricci-flat manifolds do not solve the modified equations, unless in addition the manifolds are Kahler (2 N -dimensional manifolds of SU( N ) holonomy).
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Nonlinear models in 2 + ε dimensions☆

TL;DR: In this paper, the general nonlinear scalar model is studied at asymptotically low temperature near two dimensions, and the low temperature expansion is renormalized and effective algorithms are derived for calculation to all orders in the renormalised expansion.
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