We consider generalised Scherk Schwarz reductions of supergravity and superstring theories with twists by electromagnetic dualities that are symmetries of the equations of motion but not of the action, such as the S-duality of D=4, N=4 super-Yang-Mills cou

February1,2008

QMUL-PH-03-09

hep-th/0308133

Compacti cationswithS-DualityTwists

arXiv:hep-th/0308133v2 15 Sep 2003ChristopherM.Hull1,2¨andAybikeC¸atal-OzerDepartmentofPhysicsQueenMary,UniversityofLondonMileEndRd,LondonE14NS,UKDepartmentofPhysicsMiddleEastTechnicalUniversity˙on¨In¨uBulvar Yolu,06531Ankara,TurkeyAbstractWeconsidergeneralisedScherkSchwarzreductionsofsupergravityandsuperstringtheorieswithtwistsbyelectromagneticdualitiesthataresymmetriesoftheequationsofmotionbutnotoftheaction,suchastheS-dualityofD=4,N=4super-Yang-Millscoupledtosupergravity.Thereductioncannotbedoneontheactionitself,butmustbedoneeitheronthe eldequationsoronadualityinvariantformoftheaction,suchasonein

thedoubledformalisminwhichpotentialsareintroducedforbothelectricandmagnetic elds.Theresultingtheoryinodd-dimensionshasmassiveform eldssatisfyingaself-dualityconditiondA～m A.WeconstructsuchtheoriesinD=3,5,7.21