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Conclusion and Outlook

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Perturbative and Non-perturbative Approaches to String Sigma-Models in AdS/CFT

Part of the book series: Springer Theses ((Springer Theses))

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Abstract

In this thesis we have reviewed the construction of superstring theory in two background spaces—\(AdS_5\times S^5\) and \(AdS_4\times \mathbb {CP}^3\)—relevant for the study of the respective AdS/CFT integrable systems.

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Notes

  1. 1.

    See formula (D.48) therein, where \(\mathcal {T}=\int dt + O(k^2)\) and \(T\equiv \int dt\) is the AdS time cutoff on the temporal extension of the Wilson lines in Fig. 1. In the notation of the paper, we are considering a loop coupled to a fixed scalar (setting \(\theta =0\) in (2.1)) and made of two lines separated by an angle \(\pi - \phi \) along a big circle on \(S^3\), where in first approximation \(\phi \approx \pi k\) in (B.10) for \(k\rightarrow 0\).

  2. 2.

    We thank Benjamin Basso and Pedro Vieira for proving a Mathematica script solving for the mass of the x excitation based on [37].

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  1. Institute of Physics, University of São Paulo, São Paulo, São Paulo, Brazil

    Edoardo Vescovi

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Vescovi, E. (2017). Conclusion and Outlook. In: Perturbative and Non-perturbative Approaches to String Sigma-Models in AdS/CFT. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-63420-3_8

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