Here are all the controls for Anthem on PC:
W Key: Move Forward
A Key: Move Left
S Key: Move Back
D Key: Move Right
Left Shift: Sprint/Fly While in Air
Left Ctrl/Middle Mouse Button: Evade
Mouse: Rotate Camera
C Key/Thumb Mouse Button: Hover
Space Bar: Jump/Exit Flight While Flying
Space Bar (multiple times): Double Jump (Ranger)/Triple Jump (Interceptor)/Thrusters (Colossus)
R Key: Reload
Mouse Wheel: Switch Weapons
F Key: Interact
V Key: Melee Attack
Right Mouse Button: Aim Weapon
Left Mouse Button: Fire Weapon
Q Key: Use Ability 1
E Key: Use Ability 2
Z Key: Use Ability 3
X Key: Use Ultimate Ability
Comma Key (,): Activate Emote 1
Period Key (.): Activate Emote 2
Slash Key (/): Activate Emote 3
J Key: Go to Cortex
Esc Key: Go to Menu
T Key: VOIP Push-to-talk