2021
DOI: 10.1007/jhep04(2021)167
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Superconformal boundaries in 4 − ϵ dimensions

Abstract: Boundaries in three-dimensional $$ \mathcal{N} $$ N = 2 superconformal theories may preserve one half of the original bulk supersymmetry. There are two possibilities which are characterized by the chirality of the leftover supercharges. Depending on the choice, the remaining 2d boundary algebra exhibits $$ \mathcal{N} $$ N = (0, 2) or $$ \mathcal{N} $$ N = (1) supersymmetry. In this work we focus on correla… Show more

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Cited by 17 publications
(24 citation statements)
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“…These can be studied with several non-perturbative techniques including the conformal bootstrap, see e.g. [36][37][38][39][40][41]. Assuming the successful extension of our work to spinning defect correlators, see previous paragraph, it seems likely that the approach to superconformal blocks we developed in [23,42,43] for bulk four-point functions can be extended to theories with defects.…”
Section: Jhep05(2021)007mentioning
confidence: 89%
“…These can be studied with several non-perturbative techniques including the conformal bootstrap, see e.g. [36][37][38][39][40][41]. Assuming the successful extension of our work to spinning defect correlators, see previous paragraph, it seems likely that the approach to superconformal blocks we developed in [23,42,43] for bulk four-point functions can be extended to theories with defects.…”
Section: Jhep05(2021)007mentioning
confidence: 89%
“…To reproduce this result, we need techniques to handle the infinite sums of blocks. Such techniques were used in the BCFT bootstrap to obtain order 2 results [14] and it should be possible to adapt them to the order problem in our setup (see also [49]). We leave this exploration for future work.…”
Section: Comments On the Order Bootstrapmentioning
confidence: 99%
“…Let us proceed with bootstrapping the correlator at order 2 using the method described in section 2. 10 The boundary conformal blocks G boe (∆ 0 , ξ) and G boe (∆ 1 , ξ) cannot be expanded using the Mathematica package HypExp [28] since it only expands hypergeometric functions with parameters linear terms in . However, the same algorithm can still be used.…”
Section: Jhep07(2021)013mentioning
confidence: 99%
“…Bootstrap techniques for BCFT and ICFT were studied in [1]. See [4][5][6][7][8][9][10][11] for recent works on BCFTs.…”
Section: Introductionmentioning
confidence: 99%