Bootstrapping multi-wound twist effects in symmetric orbifold CFTs
A bstract We investigate the effects of the twist-2 operator in 2D symmetric orbifold CFTs. The twist operator can join together a twist- M state and a twist- N state, creating a twist-( M + N ) state. This process involves three effects: pair creation, propagation, and contraction. We study these e...
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Veröffentlicht in: | The journal of high energy physics 2024-10, Vol.2024 (10), p.117-37, Article 117 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | A
bstract
We investigate the effects of the twist-2 operator in 2D symmetric orbifold CFTs. The twist operator can join together a twist-
M
state and a twist-
N
state, creating a twist-(
M
+
N
) state. This process involves three effects: pair creation, propagation, and contraction. We study these effects by using a Bogoliubov ansatz and conformal symmetry. In this multi-wound scenario, pair creation no longer decouples from propagation, in contrast to the previous study where
M
=
N
= 1. We derive equations for these effects, which organize themselves into recursion relations and constraints. Using the recursion relations, we can determine the infinite number of coefficients in the effects through a finite number of inputs. Moreover, the number of required inputs can be further reduced by applying constraints. |
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ISSN: | 1029-8479 1126-6708 1029-8479 |
DOI: | 10.1007/JHEP10(2024)117 |