Summoning

Summoning (召喚) is a field of magic, which involves bringing forth supernatural energies and entities from another place, often bound to follow the commands of the summoner.

Index Arc
Aspects of summoning were part of the healing magic which Index guided Tsukuyomi Komoe in casting in order to heal her wounds.

Toaru Majutsu no Index SS: Agnese's Magic Side Work Experience
One of the incidents which Agnese Sanctis, Lucia and Angelene were tasked with settling shortly after their Necessarius training, was the summoning of HMS Hood as a ghost ship and its subsequent approach towards France. Their mission was complicated by the fact that summoning site, located in a shipping container in Calais's harbor, was a shared ceremonial ground rented out to various magicians, with five having used it for their own summoning spells in the past month and all apparently unaware of Hood's summoning. It was eventually revealed that the owner who rented out the ceremonial ground, Jack Prometeria, had devised the ceremony so that his clients would inadvertently summon the ship with the combination of their own summoning spells, and also that due to a flaw created by this set-up, the ship would disappear before reaching land.

World War III Arc
During World War III, following the rise of the Star of Bethlehem, Archangel Gabriel was summoned as part of Fiamma of the Right's Project Bethlehem, using a summoning method derived from the accidental instance of Angel Fall.