esa ,, employment support allowance, is paid because you agree to be available for work,
strictly speaking,if you are on holiday either eu , this country or any other country, then you are not available for work, therfore not entiteld to that bennefit,
leagaly you must inform them if you are sick and not available for work, in that case you may be eligable for a different allowence, you must tell them if you go on holiday, its possible they may allow a holiday break for a short period, but be aware your allowence may stop untill you return, short period being 1 or possibly 2 weeks, but that you would need to check with them, because holiday breaks i do not know i only think it may be possible
