nLab D3-D5 brane bound state

Idea

The bound states/brane intersections of D3-branes with D5-branes. The special case $p=3$ of Dp-D(p+2)-brane bound states

Properties

Fuzzy funnel geometry

The fuzzy funnel noncommutative geometry of transveral $D3 \bot D5$-brane intersections (Gaiotto-Witten 08, Section 4.3, Fazzi 17, Section 3.2.3):

graphics grabbed from Fazzi 17

Related concepts

brane intersections/bound states/wrapped branes/polarized branes

• D-branes and anti D-branes form bound states by tachyon condensation, thought to imply the classification of D-brane charge by K-theory

• intersecting D-branes/fuzzy funnels:

  • Dp-D(p+2)-brane bound state and Yang-Mills monopoles

    • D0-D2 brane bound state

    • D1-D3 brane bound state

    • D2-D4 brane bound state

    • D3-D5 brane bound state

    • D4-D6 brane bound state

    • D6-D8-brane bound state

  • Dp-D(p+4)-brane bound state and Yang-Mills instantons

    • D0-D4 brane bound state

    • D1-D5 brane bound state

    • D2-D6 brane bound state

    • D3-D7 brane bound state

    • D4-D8 brane bound state

    • D5-D9 brane bound state

      small instanton

• Dp-D(p+6) brane bound state

  • D0-D6 brane bound state

  • D1-D7 brane bound state

  • D2-D8 brane bound state

• NS5-D4-D2 bound states

• Hanany-Witten effect

S-duality$\,$bound states:

• (p,q)-string

• (p,q)5-branes

• string network

• 5-brane web

intersecting$\,$M-branes:

• M5-MO9 brane bound state

• M2-M5 brane bound state

  • M-string, E-string

• membrane triple junction

References

With emphasis on the worldvolume D=3 N=4 super Yang-Mills theory:

• Amihay Hanany, Edward Witten, Type IIB Superstrings, BPS Monopoles, And Three-Dimensional Gauge Dynamics, Nucl. Phys. B492:152-190, 1997 (arXiv:hep-th/9611230)

With emphasis on the relation to Nahm's equation and fuzzy funnel noncommutative geometry:

• Davide Gaiotto, Edward Witten, Supersymmetric Boundary Conditions in $\mathcal{N} = 4$ Super Yang-Mills Theory, J Stat Phys (2009) 135: 789 (arXiv:0804.2902)

With derivation of the s-rule:

• Constantin Bachas, Michael Green, Adam Schwimmer, Section 2.3 of: $(8,0)$ Quantum mechanics and symmetry enhancement in type I’ superstrings, JHEP 9801 :006, 1998 (arXiv:hep-th/9712086)

• Akikazu Hashimoto, Peter Ouyang, Masahito Yamazaki, Section 3.6 of: Boundaries and Defects of N=4 SYM with 4 Supercharges, Part II: Brane Constructions and 3d N=2 Field Theories, JHEP 1410 : 108, 2014 (arXiv:1406.5501)

• Federico Carta, Hirotaka Hayashi, Hilbert series and mixed branches of $T[SU(N)]$ theory, JHEP 02 (2017) 037 (arXiv:1609.08034)

Review and highlighting of the fuzzy funnel geometry with fuzzy 2-sphere sections:

• Marco Fazzi, Section 3.2.3 of: Higher-dimensional field theories from type II supergravity (arxiv:1712.04447)

With emphasis on the Hanany-Witten effect:

• Benjamin Assel, Hanany-Witten effect and $SL(2,\mathbb{Z})$ dualities in matrix models, JHEP 10 (2014) 117 (arXiv:1406.5194)

• Naotaka Kubo, Sanefumi Moriyama, Hanany-Witten Transition in Quantum Curves (arXiv:1907.04971)

See also

• Curtis G. Callan, Alberto Guijosa, Konstantin G. Savvidy, Baryons and String Creation from the Fivebrane Worldvolume Action, Nucl.Phys. B547 (1999) 127-142 (arXiv:hep-th/9810092)