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2014ā€¢Proceedings of symposia in pure mathematicsRequires access

Mirror Symmetry in Flavored Affine š·-type Quivers

Anindya Dey

Open publisher page 4 citations

Abstract

We present non-trivial checks of three dimensional mirror symmetry for N = 4 \mathcal {N}=4 , D ^ N \hat {D}_N quiver gauge theories with unitary gauge groups using partition function on a round sphere. Type IIB (Hanany-Witten) realization of these theories and their mirror duals (as world volume gauge theories on coincident D3 branes) involve 1/2-BPS boundary conditions associated with orbifold and orientifold 5-planes respectively, in addition to NS5 and D5 branes. We demonstrate that partition function for a given quiver in this class may be decomposed into distinct contributions from the aforementioned Type IIB ingredients. As a byproduct of this computation, we find a convenient way of deriving the mirror map for a given pair of dual theories.

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We present non-trivial checks of three dimensional mirror symmetry for N = 4 \mathcal {N}=4 , D ^ N \hat {D}_N quiver gauge theories with unitary gauge groups using partition function on a round sphere. Type IIB (Hanany-Witten) realization of these theories and their mirror duals (as world volume gauge theories on coincident D3 branes) involve 1/2-BPS boundary conditions associated with orbifold and orientifold 5-planes respectively, in addition to NS5 and D5 branes. We demonstrate that partition function for a given quiver in this class may be decomposed into distinct contributions from the aforementioned Type IIB ingredients. As a byproduct of this computation, we find a convenient way of deriving the mirror map for a given pair of dual theories.

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Available abstract

We present non-trivial checks of three dimensional mirror symmetry for N = 4 \mathcal {N}=4 , D ^ N \hat {D}_N quiver gauge theories with unitary gauge groups using partition function on a round sphere. Type IIB (Hanany-Witten) realization of these theories and their mirror duals (as world volume gauge theories on coincident D3 branes) involve 1/2-BPS boundary conditions associated with orbifold and orientifold 5-planes respectively, in addition to NS5 and D5 branes. We demonstrate that partition function for a given quiver in this class may be decomposed into distinct contributions from the aforementioned Type IIB ingredients. As a byproduct of this computation, we find a convenient way of deriving the mirror map for a given pair of dual theories.

Key concepts: Affine transformation, Symmetry (geometry), Type (biology), Pure mathematics, Mathematics, Mirror symmetry, Physics, Geometry

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