Brane Physics from Warped Gravity Solutions Christian Ferko, - PowerPoint PPT Presentation

Brane Physics from Warped Gravity Solutions Christian Ferko, UChicago Zero modes of type IIB on Taub-NUT give 5 free scalars and one self-dual tensor δ F 5 = h 3 ( x ) ∧ ω 2 = ⇒ ⋆ h 3 = h 3 . ���� Taub-NUT 2-form Can we see interacting equation of motion too? Christian Ferko (UChicago) Brane Physics from Warped Gravity April 13, 2018 1 / 3

Duality Chain IIB background with F 5 flux: � � � 1 + 1 ds 2 = f ( y ) dx 2 dy 2 + y 2 d Ω 2 � 023 + f ( y ) 2 y � � − 1 1 + 1 ( d χ + cos( α ) cos( θ ) d ψ ) 2 , + f ( y ) − 1 dx 2 456 + f ( y ) − 1 y F 5 = h e dx 023 ∧ ω ( e ) + h m dx 456 ∧ ω ( m ) . 2 2 Christian Ferko (UChicago) Brane Physics from Warped Gravity April 13, 2018 2 / 3

Flux Zero Mode ← → Interactions Carrying the δ F 5 zero mode through the chain gives δ g 24 = − ǫ e f ( y ) , δ F 5 = ǫ e dx 043 ∧ ω ( e ) + ǫ m dx 256 ∧ ω ( m ) . 2 2 The requirement ⋆ F 5 = − F 5 constrains � ǫ m = − ǫ e 1 + h 2 m . Matches non-linear self-duality for the tensor, to leading order in ǫ e and ǫ m . Christian Ferko (UChicago) Brane Physics from Warped Gravity April 13, 2018 3 / 3