nLab D2-D4-brane bound state

Idea

The special case of Dp-D(p+2)-brane bound state for D2-D4-brane bound states.

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

For more see the references at Dp-D(p+2)-brane bound state:

General

Discussion of D2-branes polarizing to D2-D4 brane bound states:

• Iosif Bena, Aleksey Nudelman, Warping and vacua of $(S)YM_{3+1}$, Phys. Rev. D62 (2000) 086008 (arXiv:hep-th/0005163)

• Iosif Bena, Aleksey Nudelman, Exotic polarizations of D2 branes and oblique vacua of $(S)YM_{2+1}$, Phys. Rev. D62 (2000) 126007 (arXiv:hep-th/0006102)

With emphasis on the s-rule:

• Minoru Eto, Youichi Isozumi, Muneto Nitta, Keisuke Ohashi, Kazutoshi Ohta, Norisuke Sakai, Section 3 of: D-brane Construction for Non-Abelian Walls, Phys. Rev. D71 (2005) 125006 (arXiv:hep-th/0412024)

In holographic QCD

For transversal D2-D4-brane bound states (with an eye towards AdS/QCD):

• Alexander Gorsky, Valentin Zakharov, Ariel Zhitnitsky, On Classification of QCD defects via holography, Phys. Rev. D79:106003, 2009 (arxiv:0902.1842)

$AdS_3/CFT_2$ on D2/D4-D6/D8 branes

On black$\;$D6-D8-brane bound states in massive type IIA string theory, with defect D2-D4-brane bound states inside them realizing AdS3-CFT2 as defect field theory “inside” AdS7-CFT6:

• Giuseppe Dibitetto, Nicolò Petri, 6d surface defects from massive type IIA, JHEP 01 (2018) 039 (arxiv:1707.06154)

• Nicolò Petri, section 6.5 of: Supersymmetric objects in gauged supergravities (arxiv:1802.04733)

• Nicolò Petri, Surface defects in massive IIA, talk at Recent Trends in String Theory and Related Topics 2018 (pdf)

• Giuseppe Dibitetto, Nicolò Petri, $AdS_3$ vacua and surface defects in massive IIA (arxiv:1904.02455)

• Yolanda Lozano, Niall Macpherson, Carlos Nunez, Anayeli Ramirez, $1/4$ BPS $AdS_3/CFT_2$ (arxiv:1909.09636)

• Yolanda Lozano, Niall Macpherson, Carlos Nunez, Anayeli Ramirez, Two dimensional $N=(0,4)$ quivers dual to $AdS_3$ solutions in massive IIA (arxiv:1909.10510)

• Yolanda Lozano, Niall Macpherson, Carlos Nunez, Anayeli Ramirez, $AdS_3$ solutions in massive IIA, defect CFTs and T-duality (arxiv:1909.11669)

• Kostas Filippas, Non-integrability on $AdS_3$ supergravity (arxiv:1910.12981)

See also

• Andrea Legramandi, Niall Macpherson, $AdS_3$ solutions with $\mathcal{N}=(3,0)$ from $S^3 \timesS^3$ fibrations, (arXiv:1912.10509

Lift to M2-M5-brane bound states

The lift of Dp-D(p+2)-brane bound states in string theory to M2-M5-brane bound states/E-strings in M-theory, under duality between M-theory and type IIA string theory+T-duality, via generalization of Nahm's equation (this eventually motivated the BLG-model/ABJM model):

• Anirban Basu, Jeffrey Harvey, The M2-M5 Brane System and a Generalized Nahm’s Equation, Nucl.Phys. B713 (2005) 136-150 (arXiv:hep-th/0412310)

• Jonathan Bagger, Neil Lambert, Sunil Mukhi, Constantinos Papageorgakis, Section 2.2.1 of Multiple Membranes in M-theory, Physics Reports, Volume 527, Issue 1, 1 June 2013, Pages 1-100 (arXiv:1203.3546, doi:10.1016/j.physrep.2013.01.006)