nLab D1-D3-brane bound state

Idea

The special case of Dp-D(p+2)-brane bound states for D1-D3-brane bound states.

Related concepts

• fuzzy sphere

• fuzzy funnel

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:

Parallel intersection

• Gianluca Grignani, Troels Harmark, Andrea Marini, Marta Orselli, Thermal DBI action for the D3-brane at weak and strong coupling, JHEP 03 (2014) 114 (arxiv:1311.3834)

Transversal intersection

As spikes/BIons (D3-brane perspective)

As spikes/BIons in the D3-brane DBI-theory:

• Curtis Callan, Juan Maldacena, Brane Dynamics From the Born-Infeld Action, Nucl. Phys. B513 (1998) 198-212 (arXiv:hep-th/9708147)

• Paul Howe, Neil Lambert, Peter West, The Self-Dual String Soliton, Nucl. Phys. B515 (1998) 203-216 (arXiv:hep-th/9709014)

• Gary Gibbons, Born-Infeld particles and Dirichlet p-branes, Nucl. Phys. B514: 603-639, 1998 (arXiv:hep-th/9709027)

from the M5-brane:

• Paul Howe, Neil Lambert, Peter West, The Self-Dual String Soliton, Nucl. Phys. B515 (1998) 203-216 (arXiv:hep-th/9709014)

As fuzzy funnels (D1-brane perspective)

As fuzzy funnels (the D1-brane matrix model perspective):

• Neil Constable, Robert Myers, Oyvind Tafjord, The Noncommutative Bion Core, Phys. Rev. D61 (2000) 106009 (arXiv:hep-th/9911136)

• Robert Myers, Section 4 of: Nonabelian D-branes and Noncommutative Geometry, J. Math. Phys. 42: 2781-2797, 2001 (arXiv:hep-th/0106178)

• Neil Constable, Neil Lambert, Calibrations, Monopoles and Fuzzy Funnels, Phys. Rev. D66 (2002) 065016 (arXiv:hep-th/0206243)

• Rajsekhar Bhattacharyya, Robert de Mello Koch, Fluctuating Fuzzy Funnels, JHEP 0510 (2005) 036 (arXiv:hep-th/0508131)

As monopoles

Identification with Yang-Mills monopoles:

• Duiliu-Emanuel Diaconescu, D-branes, Monopoles and Nahm Equations, Nucl. Phys. B503 (1997) 220-238 (arxiv:hep-th/9608163)

• Jessica K. Barrett, Peter Bowcock, Using D-Strings to Describe Monopole Scattering (arxiv:hep-th/0402163)

• Jessica K. Barrett, Peter Bowcock, Using D-Strings to Describe Monopole Scattering - Numerical Calculations (arxiv:hep-th/0512211)

D1-D3 brane intersections in $AdS_2/CFT_1$

On D1-D3 brane intersections in AdS2/CFT1:

• Giuseppe Dibitetto, Yolanda Lozano, Nicolò Petri, Anayeli Ramirez, Holographic Description of M-branes via $AdS_2$ (arXiv:1912.09932)

Via T-duality from D6-D8 brane intersections:

• Yolanda Lozano, Carlos Nunez, Anayeli Ramirez, Stefano Speziali, New $AdS_2$ backgrounds and $\mathcal{N}=4$ Conformal Quantum Mechanics (arXiv:2011.00005)

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)