Proposes solvable interpolations between small and large equivariant parameter regimes in Gromov-Witten theory on P1 as analogue for AdS3/CFT2 transitions, plus string theory embedding of P1 x C2 correspondence and Jack polynomial analysis of scaling limit.
The equivariant Gromov-Witten theory of P^1
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abstract
We express all equivariant Gromov-Witten invariants of the projective line as matrix elements of explicit operators acting in the Fock space. As a consequence, we prove the equivariant theory is governed by the 2-Toda hierarchy of Ueno and Takasaki. This is the second in a sequence of three papers devoted to the Gromov-Witten theory of nonsingular target curves (the first paper of the series is math.AG/0204305).
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2026 1verdicts
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Equivariant Interpolations in Topological Holography
Proposes solvable interpolations between small and large equivariant parameter regimes in Gromov-Witten theory on P1 as analogue for AdS3/CFT2 transitions, plus string theory embedding of P1 x C2 correspondence and Jack polynomial analysis of scaling limit.