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D-Branes and Topological Field Theories

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
abstract

In the presence of a D-brane a string theory develops a new subsector. We show that for curved D-branes the corresponding sector is a (partially twisted) topological field theory. We use this result to compute the degeneracy of 2-branes wrapped around $K3$ cycles as well as 3-branes wrapped around CY threefold vanishing 3-cycles. In both cases we find the degeneracy is in accord with expectation. The counting of BPS states of a gas of 0-branes in the presence of a 4-brane in $K3$ is considered and it is noted that the effective 0-brane charge is shifted by 1, due to a quantum correction. This is in accord with string duality and the fact that left-moving ground state energy of heterotic string starts at $-1$. We also show that all the three different topological twistings of four dimensional $N=4$ Yang-Mills theory do arise from curved three-branes embedded in different spaces (Calabi-Yau manifolds and manifolds with exceptional holonomy groups).

fields

hep-th 3

years

2026 2 2019 1

verdicts

UNVERDICTED 3

representative citing papers

Maximal trombone supergravity from wrapped M5-branes

hep-th · 2026-01-12 · unverdicted · novelty 7.0

Certain maximal 4D supergravities with trombone gaugings arise as consistent truncations of 11D supergravity from M5-branes wrapped on supersymmetric three-cycles.

Defects, nested instantons and comet shaped quivers

hep-th · 2019-07-05 · unverdicted · novelty 7.0

Proposes comet-shaped quiver gauge theories for surface defects with nested instantons in 4D gauge theories on T^2 × T*C_{g,k} and gives conjectural explicit formulae for the virtual equivariant elliptic genus of bundles over nested Hilbert schemes of points on the affine plane.

citing papers explorer

Showing 3 of 3 citing papers.

  • Maximal trombone supergravity from wrapped M5-branes hep-th · 2026-01-12 · unverdicted · none · ref 16 · internal anchor

    Certain maximal 4D supergravities with trombone gaugings arise as consistent truncations of 11D supergravity from M5-branes wrapped on supersymmetric three-cycles.

  • Defects, nested instantons and comet shaped quivers hep-th · 2019-07-05 · unverdicted · none · ref 41 · internal anchor

    Proposes comet-shaped quiver gauge theories for surface defects with nested instantons in 4D gauge theories on T^2 × T*C_{g,k} and gives conjectural explicit formulae for the virtual equivariant elliptic genus of bundles over nested Hilbert schemes of points on the affine plane.

  • M5 branes wrapping $\mathbb{WCP}^2$ and spindles fibred over constant curvature Riemann surfaces hep-th · 2026-06-29 · unverdicted · none · ref 3 · internal anchor

    Classification of supersymmetric AdS3 solutions in 7d supergravity yielding M5-brane wrappings on WCP2 and spindle fibrations, with central charges matched via holography and c-extremization.