nLab
M2-M5 brane bound state

Idea

bound states of M2-branes with M5-branes;

in particular dyonic$\,$black M2-branes, i.e. M5-branes wrapped on a 3-manifold (ILPT 95)

Properties

Image in type II string theory

Under suitable duality between M-theory and type IIA string theory the M2/M5brane bound states become Dp-D(p+2)-brane bound states (Basu-Harvey 05).

Relation to giant gravitons

for the relation to giant gravitons: (Camino-Ramallo 01)

Related entries

brane intersections/bound states/wrapped 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

    • D4-D8 brane bound state

• 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

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 states

• E-strings

• membrane triple junction

• M-theory on 8-manifolds

• M-brane

• wrapped brane

References

General

• J.M. Izquierdo, Neil Lambert, George Papadopoulos, Paul Townsend, Dyonic Membranes, Nucl. Phys. B460:560-578, 1996 (arXiv:hep-th/9508177)

• Michael Green, Neil Lambert, George Papadopoulos, Paul Townsend, Dyonic $p$-branes from self-dual $(p+1)$-branes, Phys.Lett.B384:86-92, 1996 (arXiv:hep-th/9605146)

• Troels Harmark, Section 3.1 of Open Branes in Space-Time Non-Commutative Little String Theory, Nucl.Phys. B593 (2001) 76-98 (arXiv:hep-th/0007147)

• Troels Harmark, N.A. Obers, Section 5.1 of Phase Structure of Non-Commutative Field Theories and Spinning Brane Bound States, JHEP 0003 (2000) 024 (arXiv:hep-th/9911169)

• George Papadopoulos, Dimitrios Tsimpis, The holonomy of the supercovariant connection and Killing spinors, JHEP 0307:018, 2003 (arXiv:hep-th/0306117)

• Giuseppe Dibitetto, Nicolò Petri, BPS objects in $D=7$ supergravity and their M-theory origin, JHEP 12 (2017) 041 (arxiv:1707.06152)

• Nicolò Petri, slide 14 of Surface defects in massive IIA, talk at Recent Trends in String Theory and Related Topics 2018 (pdf)

• Domenico Fiorenza, Hisham Sati, Urs Schreiber, Section 4 of Twisted Cohomotopy implies M-theory anomaly cancellation (arXiv:1904.10207)

• Jay Armas, Vasilis Niarchos, Niels A. Obers, Section 2 of Thermal transitions of metastable M-branes (arXiv:1904.13283)

Further bound states of M2-branes/M5-branes to giant gravitons:

• J. M. Camino, A. V. Ramallo, M-Theory Giant Gravitons with C field, Phys.Lett.B525:337-346,2002 (arXiv:hep-th/0110096)

Reduction to D$p$-D$(p+2)$-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 (eventually motivating 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)

KK-reduction to JT gravity

Realization of JT-gravity as Kaluza-Klein reduction of D=6 supergravity on the worldvolume of D1-D5 brane bound states or M2-M5 brane bound states:

• Yue-Zhou Li, Shou-Long Li, H. Lu, Exact Embeddings of JT Gravity in Strings and M-theory, Eur. Phys. J. C (2018) 78: 791 (arXiv:1804.09742)

• Iosif Bena, Pierre Heidmann, David Turton, $AdS_2$ Holography: Mind the Cap, JHEP 1812 (2018) 028 (arXiv:1806.02834)