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2022•Journal of High Energy PhysicsOpen access

Generalised U-dual solutions via ISO(7) gauged supergravity

Chris D. A. Blair, Sofia Zhidkova

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Abstract

Abstract We study a solution generating technique in supergravity which can be viewed as a generalised version of U-duality, taking solutions of type IIA supergravity on a 6-sphere with RR flux to new solutions of 11-dimensional supergravity. The new solutions are characterised by an underlying 6-algebra structure. Our construction provides an 11-dimensional uplift of four-dimensional ISO(7) gauged supergravity, using E7 exceptional geometry techniques. We focus on an example where we start with the D2 solution in type IIA supergravity and construct a new $$ \frac{1}{2} $$ 1 2 -BPS 11-dimensional solution.

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Abstract We study a solution generating technique in supergravity which can be viewed as a generalised version of U-duality, taking solutions of type IIA supergravity on a 6-sphere with RR flux to new solutions of 11-dimensional supergravity. The new solutions are characterised by an underlying 6-algebra structure. Our construction provides an 11-dimensional uplift of four-dimensional ISO(7) gauged supergravity, using E7 exceptional geometry techniques. We focus on an example where we start with the D2 solution in type IIA supergravity and construct a new $$ \frac{1}{2} $$ 1 2 -BPS 11-dimensional solution.

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Available abstract

Abstract We study a solution generating technique in supergravity which can be viewed as a generalised version of U-duality, taking solutions of type IIA supergravity on a 6-sphere with RR flux to new solutions of 11-dimensional supergravity. The new solutions are characterised by an underlying 6-algebra structure. Our construction provides an 11-dimensional uplift of four-dimensional ISO(7) gauged supergravity, using E7 exceptional geometry techniques. We focus on an example where we start with the D2 solution in type IIA supergravity and construct a new $$ \frac{1}{2} $$ 1 2 -BPS 11-dimensional solution.

Key concepts: Supergravity, Physics, Gauged supergravity, Higher-dimensional supergravity, Duality (order theory), Mathematical physics, Type (biology), Algorithm

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