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Real and virtual bound states in Lüscher corrections for CP3 magnons

Real and virtual bound states in Lüscher corrections for CP3 magnons
Real and virtual bound states in Lüscher corrections for CP3 magnons
We study classical and quantum finite-size corrections to giant magnons in AdS4 × CP3 using generalized Lüscher formulae. Lüscher F-terms are organized in powers of the exponential suppression factor (e−Δ/2h)m, and we calculate all terms in this series, matching one-loop algebraic curve results from our previous paper [1]. Starting with the second term, the structure of these terms is different to those in AdS5 × S5 thanks to the appearance of heavy modes in the loop, which can here be interpreted as two-particle bound states in the mirror theory. By contrast, physical bound states can represent dyonic giant magnons, and we also calculate F-terms for these solutions. Lüscher μ-terms, suppressed by e−Δ/E, instead give at leading order the classical finite-size correction. For the elementary dyonic giant magnon we recover the correction given by [2]. We then extend this to calculate the next term in 1/h, giving a one-loop prediction. Finally we also calculate F-terms for the various composite giant magnons, RP3 and 'big', again finding agreement to all orders.
hep-th
Abbott, Michael C.
7766a6bf-6b30-449c-b047-21a05897f6bb
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Bombardelli, Diego
1c131213-81c0-462d-acd6-778f5880dc45
Abbott, Michael C.
7766a6bf-6b30-449c-b047-21a05897f6bb
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Bombardelli, Diego
1c131213-81c0-462d-acd6-778f5880dc45

Abbott, Michael C., Aniceto, Inês and Bombardelli, Diego (2012) Real and virtual bound states in Lüscher corrections for CP3 magnons. Nuclear Physics B, 45. (doi:10.1088/1751-8113/45/33/335401).

Record type: Article

Abstract

We study classical and quantum finite-size corrections to giant magnons in AdS4 × CP3 using generalized Lüscher formulae. Lüscher F-terms are organized in powers of the exponential suppression factor (e−Δ/2h)m, and we calculate all terms in this series, matching one-loop algebraic curve results from our previous paper [1]. Starting with the second term, the structure of these terms is different to those in AdS5 × S5 thanks to the appearance of heavy modes in the loop, which can here be interpreted as two-particle bound states in the mirror theory. By contrast, physical bound states can represent dyonic giant magnons, and we also calculate F-terms for these solutions. Lüscher μ-terms, suppressed by e−Δ/E, instead give at leading order the classical finite-size correction. For the elementary dyonic giant magnon we recover the correction given by [2]. We then extend this to calculate the next term in 1/h, giving a one-loop prediction. Finally we also calculate F-terms for the various composite giant magnons, RP3 and 'big', again finding agreement to all orders.

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More information

Accepted/In Press date: 15 July 2012
Published date: 2 August 2012
Keywords: hep-th

Identifiers

Local EPrints ID: 424137
URI: https://eprints.soton.ac.uk/id/eprint/424137
PURE UUID: d3417093-2466-4542-9ca0-1ce545699239

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Date deposited: 05 Oct 2018 11:30
Last modified: 27 Feb 2019 17:30

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Contributors

Author: Michael C. Abbott
Author: Inês Aniceto
Author: Diego Bombardelli

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