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Bootstrapping closed string field theory

Atakan Hilmi Fırat
(
- MIT, Cambridge, CTP
)

Feb 24, 2023

15 pages

Published in:

JHEP 05 (2023) 186

Published: May 23, 2023

e-Print:

2302.12843 [hep-th]

DOI:

10.1007/JHEP05(2023)186

Report number:

MIT-CTP/5530

View in:

ADS Abstract Service

reference search18 citations

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Abstract: (Springer)

The determination of the string vertices of closed string field theory is shown to be a conformal field theory problem solvable by combining insights from Liouville theory, hyperbolic geometry, and conformal bootstrap. We first demonstrate how Strebel differentials arise from hyperbolic string vertices by performing a WKB approximation to the associated Fuchsian equation, which we subsequently use it to derive a Polyakov-like conjecture for Strebel differentials. This result implies that the string vertices are generated by the interactions of n zero momentum tachyons, or equivalently, a certain limit of suitably regularized on-shell Liouville action. We argue that the latter can be related to the interaction of three zero momentum tachyons on a generalized cubic vertex through classical conformal blocks. We test this claim for the quartic vertex and discuss its generalization to higher-string interactions.

Note:

42+15 pages, 8 figures; v2: version published in JHEP

String Field Theory
Differential and Algebraic Geometry
field theory: string
string: closed
field theory: Liouville
field theory: conformal
bootstrap: conformal
tachyon
geometry
regularization

References(125)

Figures(11)

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