Bootstrapping monodromy defects in the Wess-Zumino model

Gimenez-Grau, Aleix; Liendo, Pedro

doi:10.1007/JHEP05(2022)185

Journal Article

PUBDB-2022-04147

Bootstrapping monodromy defects in the Wess-Zumino model

Gimenez-Grau, A. (Corresponding author)DESY* ; Liendo, P.DESY*

2022
SISSA [Trieste]

Journal of high energy physics 05(5), 185 (1-41) (2022) [10.1007/JHEP05(2022)185]

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Please use a persistent id in citations: doi:10.1007/JHEP05(2022)185 doi:10.3204/PUBDB-2022-04147

Report No.: DESY-21-119; arXiv:2108.05107

Abstract: We use analytical bootstrap techniques to study supersymmetric monodromy defects in the critical Wess-Zumino model. In preparation for this result we first study two related systems which are interesting on their own: general monodromy defects (no susy), and the ε-expansion bootstrap for the Wess-Zumino model (no defects). For general monodromy defects, we extend previous work on codimension-two conformal blocks and the Lorentzian inversion formula in order to accommodate parity-odd structures. In the Wess-Zumino model, we bootstrap four-point functions of chiral operators in the ε-expansion, with the goal of obtaining spectral information about the bulk theory. We then proceed to bootstrap two-point functions of chiral operators in the presence of a monodromy defect, and obtain explicit expressions in terms of novel special functions which we analyze in detail. Several of the results presented in this paper are quite general and should be applicable to other setups.

Keyword(s): n-point function: 4 ; operator: chiral ; defect ; monodromy ; bootstrap ; Wess-Zumino model ; supersymmetry ; conformal block ; epsilon expansion ; Scale and Conformal Symmetries ; Boundary Quantum Field Theory ; Extended Supersymmetry ; Supersymmetry Breaking

Classification:

ddc:530

Note: 44+9 pages, v2: fixed some typos, minor changes. v3: some sections slightly rewritten, as per referee suggestion

Contributing Institute(s):

Theorie-Gruppe (T)

Research Program(s):

Experiment(s):

No specific instrument

Appears in the scientific report 2022

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