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SUMMARY:Antonio Manso: Duality symmetry and anomaly for gravitational wave
 s in curved spacetimes
DTSTART:20260514T090000Z
DTEND:20260514T100000Z
DTSTAMP:20260607T175600Z
UID:indico-event-3786@indico.ijs.si
DESCRIPTION:The vacuum Einstein equations admit a formulation closely anal
 ogous to the source-free Maxwell theory. In particular\, the linearized eq
 uations exhibit an electric-magnetic duality symmetry. We develop a framew
 ork that makes this analogy manifest by explicitly identifying the electri
 c and magnetic components of perturbative gravitational waves. Within this
  formulation\, we show that duality rotations between these gravitoelectri
 c and gravitomagnetic fields constitute a Noether symmetry of the lineariz
 ed theory\, and we derive the associated conserved current. The correspond
 ing conserved charge encodes the difference in intensity between the right
 - and left-handed circularly polarized components of the gravitational wav
 e—that is\, between its self-dual and antiself-dual parts. Remarkably\, 
 this conservation law remains valid even when the gravitational perturbati
 ons propagate on generic curved backgrounds. We then investigate whether t
 his symmetry survives quantization. While the duality symmetry is preserve
 d at the quantum level in flat spacetime\, we find that it is anomalously 
 broken in curved backgrounds. As a result\, an imbalance between right- an
 d left-handed gravitons could be excited from the vacuum. This effect repr
 esents a chiral anomaly for massless spin-two fields\, generalizing known 
 results for fermions and spin-one photon fields.\n\nhttps://indico.ijs.si/
 event/3786/
LOCATION:A/1-106 - Seminarska soba fizike (F5)
URL:https://indico.ijs.si/event/3786/
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