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Motivated by recent experiments on Ni(C_{2}H_{8}N_{2})_{2}Ni(CN)_{4}(commonly known as NENC), we study the electron spin resonance in the criticalhigh-field phase of the antiferromagnetic S=1 chain with strong planaranisotropy and show that the ESR spectra exhibit several peculiarities in thecritical phase. Possible relevance of those results for other gapped spinsystems is discussed.Comment: 8 revtex pages, 1 eps figure include

Electron spin resonance in high-field critical phase of gapped spin chains