An isomorphism is shown between the algebra of alien derivatives acting on the topological string partition function and the Kontsevich-Soibelman Lie algebra, linking resurgence to DT wall-crossing with numerical matches for D4- and D2-brane contributions.
On the Gauge Theory/Geometry Correspondence
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
abstract
The 't Hooft expansion of SU(N) Chern-Simons theory on $S^3$ is proposed to be exactly dual to the topological closed string theory on the $S^2$ blow up of the conifold geometry. The $B$-field on the $S^2$ has magnitude $Ng_s=\lambda$, the 't Hooft coupling. We are able to make a number of checks, such as finding exact agreement at the level of the partition function computed on {\it both} sides for arbitrary $\lambda$ and to all orders in 1/N. Moreover, it seems possible to derive this correspondence from a linear sigma model description of the conifold. We propose a picture whereby a perturbative D-brane description, in terms of holes in the closed string worldsheet, arises automatically from the coexistence of two phases in the underlying U(1) gauge theory. This approach holds promise for a derivation of the AdS/CFT correspondence.
years
2026 4verdicts
UNVERDICTED 4representative citing papers
A 2-form connection is defined in the space of open string field theory solutions, producing invariant higher holonomies and 3-form curvature potentially corresponding to the B-field.
Two open-string descriptions of branes on the resolved conifold are equivalent; integrating out one stack yields an effective potential that reproduces the backreaction and matches giant-graviton actions on the deformed conifold.
The spin one-point function in the critical Ising chain has a natural boundary of analyticity on the negative real axis after Borel resummation, with singularities matching those of an odd-divisor sum series.
citing papers explorer
-
The non-perturbative topological string: from resurgence to wall-crossing of DT invariants
An isomorphism is shown between the algebra of alien derivatives acting on the topological string partition function and the Kontsevich-Soibelman Lie algebra, linking resurgence to DT wall-crossing with numerical matches for D4- and D2-brane contributions.
-
Higher Connection in Open String Field Theory
A 2-form connection is defined in the space of open string field theory solutions, producing invariant higher holonomies and 3-form curvature potentially corresponding to the B-field.
-
Open-Closed-Open Triality Beyond Matrix Models
Two open-string descriptions of branes on the resolved conifold are equivalent; integrating out one stack yields an effective potential that reproduces the backreaction and matches giant-graviton actions on the deformed conifold.
-
Analyticity, asymptotics and natural boundary for a one-point function of the finite-volume critical Ising chain
The spin one-point function in the critical Ising chain has a natural boundary of analyticity on the negative real axis after Borel resummation, with singularities matching those of an odd-divisor sum series.