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Introduction to Off-Shell String Theory

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String Field Theory

Part of the book series: Lecture Notes in Physics ((LNP,volume 980))

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Abstract

In this chapter, we introduce a framework to describe off-shell amplitudes in string theory. We first start by motivating various concepts—in particular, local coordinates and factorization—by focusing on the 3- and 4-point amplitudes. We then prepare the stage for a general description of off-shell amplitudes. We focus again on the closed bosonic string only.

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Notes

  1. 1.

    The quantum number (k, j) of the vertex operator is mostly irrelevant for the discussion of the current and next chapters, and they are omitted. We will distinguish them by a number and reintroduce the momentum k when necessary. We also omit the overall normalization of the amplitudes.

  2. 2.

    The notation will become clear later and should not be confused with the vertex operators.

References

  1. C. de Lacroix, H. Erbin, S.P. Kashyap, A. Sen, M. Verma, Closed super-string field theory and its applications. Int. J. Mod. Phys. A 32(28n29), 1730021 (2017). https://doi.org/10.1142/S0217751X17300216. arXiv: 1703.06410

  2. J. Polchinski, String Theory: Volume 1, An Introduction to the Bosonic String (Cambridge University Press, Cambridge, 2005)

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  3. A. Sen, Off-shell amplitudes in superstring theory. Fortschritte der Physik 63(3–4), 149–188 (2015). https://doi.org/10.1002/prop.201500002. arXiv: 1408.0571

  4. B. Zwiebach, Closed string field theory: quantum action and the BV master equation. Nucl. Phys. B 390(1), 33–152 (1993). https://doi.org/10.1016/0550-3213(93)90388-6. arXiv:hep-th/9206084

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Erbin, H. (2021). Introduction to Off-Shell String Theory. In: String Field Theory. Lecture Notes in Physics, vol 980. Springer, Cham. https://doi.org/10.1007/978-3-030-65321-7_11

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