Superembedding approach to Dp-branes, M-branes and multiple D(0)-brane systems

E. Bergshoeff, E. Sezgin, and P. K. Townsend, “Supermembrane and Eleven-Dimansional Supergravity,” Phys. Lett. B 189, 75–78 (1987); Ann. Phys. (N.Y.) 185, 330 (1988).

A. Achu-carro, J. M. Evans, P. K. Townsend, and D. L. Wiltshire, “Super-P-Branes,” Phys. Lett. B 198, 441 (1987).

P. S. Howe and E. Sezgin, “Superbranes,” Phys. Lett. B 390, 133 (1997), hep-th/9607227.

M. Cederwall, A. von Gussich, B. E. W. Nilsson, and A. Westerberg, “The Dirichlet Super-Three-Branes in Ten-Dimensional Type IIB Supergravity,” Nucl. Phys. B 490, 163–178 (1997), hep-th/9610148. M. Aganagic, C. Popescu, and J. H. Schwarz, “D-Brane Actions with Local Kappa Symmetry,” Phys. Lett. B 393, 311–315 (1997), hep-th/9610249.

P. S. Howe and E. Sezgin, “D = 11, P = 5,” Phys. Lett. B 394, 62 (1997), hep-th/9611008.

M. Cederwall, A. Von Gussich, B. E. W. Nilsson, P. Sundell, and A. Westerberg, “The Dirichlet Super-P-Branes in Ten-Dimensional Type IIA and IIB Supergravity,” Nucl. Phys. B 490, 179–201 (1997), hep-th/9611159; M. Aganagic, C. Popescu, and J. H. Schwarz, “Gauge-Invariant and Gauge-Fixed D-Brane Actions,” Nucl. Phys. B 490, 202 (1997), hep-th/9612080.

E. Bergshoeff and P. K. Townsend, “Super-D -Branes,” Nucl. Phys. B 490, 145–162 (1997), hep-th/9611173.

I. A. Bandos, K. Lechner, A. Nurmagambetov, P. Pasti, D. P. Sorokin, and M. Tonin, “Covariant Action for the Super-Five-Brane of M-Theory,” Phys. Rev. Lett. 78, 4332 (1997), hep-th/9701149.

M. Aganagic, J. Park, C. Popescu, and J. H. Schwarz, “World-Volume Action of the M-Theory Five-Brane,” Nucl. Phys. B 496, 191–214 (1997), hep-th/9701166.

C. M. Hull and P. K. Townsend, “Unity of Superstring Dualities,” Nucl. Phys. B 438, 109–137 (1995) hep-th/9410167; E. Witten, “String Theory Dynamics in Various Dimensions,” Nucl. Phys. B 443, 85–126 (1995), hep-th/9503124.

J. H. Schwarz, “Second Superstring Revolution,” Nucl. Phys. Proc. Suppl. B 55, 1–32 (1997), hep-th/9607067; P. K. Townsend, “Four Lectures on M-Theory,” in The ICTP Series in Theoretical Physics, Vol. 13 (World Sci., Singapore, 1997), pp. 385–438, hep-th/9612121.

J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231–252 (1998), hep-th/9711200; S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105–114 (1998), hep-th/9802109; E. Witten, Adv. Theor. Math. Phys. 2, 253–291 (1998), hep-th/9802150.

O. Aharony, S. S. Gubser, J. Maldacena, H. Ooguri, and Y. Oz, “Large N Field Theories, String Theory and Gravity,” Phys. Rep. 323, 183 (2000), arXiv:hep-th/9905111; L. F. Alday and R. Roiban, “Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence,” Phys. Rep. 468, 153–211 (2008), arXiv:0807.1889 [hep-th]; S. S. Gubser, “Using String Theory to Study the Quark-Gluon Plasma: Progress and Perils,” Nucl. Phys. A 830, 657 (2009), arXiv:0907.4808 [hep-th] and references therein.

M. J. Duff, R. R. Khuri, and J. X. Lu, “String Solitons,” Phys. Rep. 259, 213–326 (1995); K. S. Stelle, “BPS Branes in Supergravity,” in Proceedings of the ICTP Summer School, 2 Jun.–11 Jul. 1997, Trieste, Italy (World Sci., Singapore, 1998), pp. 29–127, hep-th/9803116 and references therein.

I. A. Bandos, D. P. Sorokin, M. Tonin, P. Pasti, and D. V. Volkov, “Superstrings and Supermembranes in the Doubly Supersymmetric Geometrical Approach,” Nucl. Phys. B 446, 79–118 (1995), hep-th/9501113.

I. A. Bandos, D. P. Sorokin, and M. Tonin, “Generalized Action Principle and Superfield Equations of Motion for D = 10 Dp -Branes,” Nucl. Phys. B 497, 275–296 (1997), hep-th/9701127.

C. S. Chu, P. S. Howe, and E. Sezgin, “Strings and D-Branes with Boundaries,” Phys. Lett. B 428, 59–67 (1998), hep-th/9801202; C. S. Chu, P. S. Howe, E. Sezgin, and P. C. West, “Open Superbranes,” Phys. Lett. B 429, 273–280 (1998), hep-th/9803041.

V. Akulov, I. A. Bandos, W. Kummer, and V. Zima, D = 10 Dirichlet Super-9-Brane,” Nucl. Phys. B 527, 61 (1998), hep-th/9802032.

D. P. Sorokin, “Superbranes and Superembeddings,” Phys. Rep. 329, 1 (2000), hep-th/9906142.

I. A. Bandos, “Superembedding Approach and S-Duality: A Unified Description of Superstring and Super-D1-Brane,” Nucl. Phys. B 599, 197 (2001), arXiv:hep-th/0008249.

I. A. Bandos, “On Superembedding Approach to Type IIB 7-Branes,” JHEP 0904, 085 (2009), arXiv:0812.2889 [hep-th].

I. A. Bandos, “On Superembedding Approach to Multiple D-Brane System. D0 Story,” Phys. Lett. B 680, 267 (2009), arXiv:0907.4681 [hep-th].

R. Emparan, “Born-Infeld Strings Tunneling to D-Branes,” Phys. Lett. B 423, 71 (1998), arXiv:hep-th/9711106.

R. C. Myers, “Dielectric-Branes,” JHEP 9912, 022 (1999), hep-th/9910053.

P. S. Howe, U. Lindstrom, and L. Wulff, “Superstrings with Boundary Fermions,” JHEP 0508, 041 (2005), hep-th/0505067; P. S. Howe, U. Lindstrom, and L. Wulff, “On the Covariance of the Dirac-Born-Infeld-Myers Action,” JHEP 0702, 070 (2007), hep-th/0607156.

P. S. Howe, U. Lindstrom, and L. Wulff, “Kappa-Symmetry for Coincident D-Branes,” JHEP 0709, 010 (2007), arXiv:0706.2494 [hep-th].

A. Sagnotti, “Open Strings and Their Symmetry Groups,” in Proceedings of the NATO Advanced Summer Institute on Nonperturbative Quantum Field Theory (Cargese Summer Institute), Cargese, France, Jul. 16–30, 1987, pp. 521–528, arXiv:hep-th/0208020.

P. Horava, “Strings on World Sheet Orbifolds,” Nucl. Phys. B 327, 461 (1989); “Background Duality of Open String Models,” Phys. Lett. B 231, 251 (1989).

J. Dai, R. G. Leigh, and J. Polchinski, “New Connections between String Theories,” Mod. Phys. Lett. A 4, 2073 (1989).

R. G. Leigh, “Dirac-Born-Infeld Action from Dirichlet Sigma Model,” Mod. Phys. Lett. A 4, 2767 (1989).

J. Polchinski, “Dirichlet-Branes and Ramond-Ramond Charges,” Phys. Rev. Lett. 75, 4724 (1995), hep-th/9510017.

E. Witten, “Bound States of Strings and P-Branes,” Nucl. Phys. B 460, 335 (1996), hep-th/9510135.

U. H. Danielsson, G. Ferretti, and B. Sundborg, “D-Particle Dynamics and Bound States,” Int. J. Mod. Phys. A 11, 5463 (1996), hep-th/9603081; D. N. Kabat and P. Pouliot, “A Comment on Zero-Brane Quantum Mechanics,” Phys. Rev. Lett. 77, 1004–1007 (1996), hep-th/9603127. M. R. Douglas, D. N. Kabat, P. Pouliot, and S. H. Shenker, “D-Branes and Short Distances in String Theory,” Nucl. Phys. B 485, 85–127 (1997), hep-th/9608024.

T. Banks, W. Fischler, S. H. Shenker, and L. Susskind, “M Theory as a Matrix Model: A Conjecture,” Phys. Rev. D 55, 5112–5128 (1997), hep-th/9610043.

P. K. Townsend, “D-Branes from M-Branes,” Phys. Lett. B 373, 68–75 (1996), hep-th/9512062.

M. B. Green, J. A. Harvey, and G. W. Moore, “I-Brane Inflow and Anomalous Couplings on D-Branes,” Class. Quant. Grav. 14, 47 (1997), arXiv:hep-th/9605033.

A. A. Tseytlin, “Born-Infeld Action, Supersymmetry and String Theory,” in The Many Faces of the Superworld, Yuri Golfand Memorial Volume, Ed. by M. A. Shifman (World Sci., Singapore, 2000), pp. 417–452, hep-th/9908105.

M. B. Green, C. M. Hull, and P. K. Townsend, “D-Brane Wess-Zumino Actions, T-Duality and the Cosmological Constant,” Phys. Lett. B 382, 65 (1996), hep-th/9604119.

A. A. Tseytlin, “On Non-Abelian Generalisation of the Born-Infeld Action in String Theory,” Nucl. Phys. B 501, 41–52 (1997), hep-th/9701125.

D. P. Sorokin, “Coincident (super)-dp-Branes of Codimension One,” JHEP 08, 022 (2001), hep-th/0106212. D. Sorokin, “Space-Time Symmetries and Supersymmetry of Coincident D-Branes,” Fortsch. Phys. 50, 973 (2002);

S. Panda and D. Sorokin, “Supersymmetric and Kappa-Invariant Coincident D0-Branes,” JHEP 0302, 055 (2003), hep-th/0301065.

J. M. Drummond, P. S. Howe, and U. Lindstrom, “Kappa-Symmetric Non-Abelian Born-Infeld Actions in Three Dimensions,” Class. Quant. Grav. 19, 6477 (2002), hep-th/0206148.

I. A. Bandos and P. K. Townsend, “SDiff Gauge Theory and the M2 Condensate,” JHEP 0902, 013 (2009), arXiv:0808.1583 [hep-th].

N. Marcus and A. Sagnotti, “Group Theory from Quarks at the Ends of Strings,” Phys. Lett. B 188, 58 (1987).

E. Cremmer and S. Ferrara, “Formulation of Eleven-Dimensional Supergravity in Superspace,” Phys. Lett. B 91, 61 (1980).

L. Brink and P. S. Howe, “Eleven-Dimensional Supergravity on the Mass-Shell in Superspace,” Phys. Lett. B 91, 384 (1980).

P. S. Howe and P. C. West, “The Complete N =2, D = 10 Supergravity,” Nucl. Phys. B 238, 181–220 (1984).

S. Bellucci, S. J. J. Gates, B. Radak, and S. Vashakidze, “Improved Supergeometries for Type-II Green-Schwarz Non-Linear Sigma-Model,” Mod. Phys. Lett. A 4, 1985–1998 (1989).

D. P. Sorokin, V. I. Tkach, and D. V. Volkov, “Superparticles, Twistors and Siegel Symmetry,” Mod. Phys. Lett. A 4, 901–908 (1989).

F. Delduc, A. Galperin, P. S. Howe, and E. Sokatchev, “A Twistor Formulation of the Heterotic D= 10 Superstring with Manifest (8,0) World Sheet Supersymmetry,” Phys. Rev. D 47, 578 (1993), hep-th/9207050; See [19] for More References on STV Approach to Superparticles and D < 10 Superstrings.

D. V. Volkov and A. A. Zheltukhin, “Extension of the Pernose Representation and Its Use to Describe Supersymmetric Models,” JETP Lett. 48, 63 (1988); “On the Equivalence of the Lagrangians of Massless Dirac and Supersymmetrical Particles,” Lett. Math. Phys. 17, 141 (1989); “Lagrangians for Massless Particles and Strings with Local and Global Supersymmetry,” Nucl. Phys. B 335, 723 (1990).

D. P. Sorokin, V. I. Tkach, D. V. Volkov, and A. A. Zheltukhin, “From the Superparticle Siegel Symmetry to the Spinning Particle Proper Time Supersymmetry,” Phys. Lett. B 216, 302 (1989).

D. V. Uvarov, “On Covariant Kappa-Symmetry Fixing and the Relation between the NSR String and the Type II GS Superstring,” Phys. Lett. B 493, 421–429 (2000), arXiv:hep-th/0006185; “New Superembeddings for Type II Superstrings,” JHEP 0207, 008 (2002), arXiv:hep-th/0112155.

E. Sokatchev, “Light Cone Harmonic Superspace and Its Applications,” Phys. Lett. B 169, 209–214 (1986); “Harmonic Superparticle,” Class. Quant. Grav. 4, 237–246 (1987).

I. A. Bandos, “A Superparticle in Lorentz-Harmonic Superspace,” Sov. J. Nucl. Phys. 51, 906–914 (1990).

A. S. Galperin, P. S. Howe, and K. S. Stelle, “The Superparticle and the Lorentz Group,” Nucl. Phys. B 368, 248–280 (1992), hep-th/9201020; F. Delduc, A. Galperin, and E. Sokatchev, “Lorentz Harmonic (Super)Fields and (Super)Particles,” Nucl. Phys. B 368, 143–171 (1992).

I. A. Bandos and A. A. Zheltukhin, “Spinor Cartan Moving N Hedron, Lorentz Harmonic Formulations of Superstrings, and Kappa Symmetry,” JETP Lett. 54, 421–424 (1991); I. A. Bandos and A. A. Zheltukhin, “Green-Schwarz Superstrings in Spinor Moving Frame Formalism,” Phys. Lett. B 288, 77–84 (1992); “Generalization of Newman-Penrose Dyads in Connection with the Action Integral for Supermembranes in an Eleven-Dimensional Space,” JETP Lett. 55, 81 (1992); “D = 10 Superstring: Lagrangian and Hamiltonian Mechanics in Twistor-Like Lorentz Harmonic Formulation,” Phys. Part. Nucl. 25, 453–477 (1994); “Eleven-Dimensional Supermembrane in a Spinor Moving Repere Formalism,” Int. J. Mod. Phys. A 8, 1081 (1993); “N = 1 Super-P-Branes in Twistor — Like Lorentz Harmonic Formulation,” Class. Quant. Grav. 12, 609 (1995), hep-th/9405113.

I. Bandos and D. Sorokin, “Aspects of D-Brane Dynamics in Supergravity Backgrounds with Fluxes, Kappa-Symmetry and Equations of Motion. IIB Story,” Nucl. Phys. B 759, 399 (2006), hep-th/0607163.

I. A. Bandos, “Superembedding Approach to Superstring in AdS(5)xS*5 Superspace,” arXiv:0812.0257 [hep-th].

P. S. Howe and E. Sezgin, “The Supermembrane Revisited,” Class. Quant. Grav. 22, 2167–2200 (2005), arXiv:hep-th/0412245.

P. S. Howe, E. Sezgin, and P. C. West, Phys. Lett. B 399, 49–59 (1997), hep-th/9702008; Phys. Lett. B 400, 255–259 (1997), hep-th/9702111; I. Bandos, K. Lechner, A. Nurmagambetov, P. Pasti, D. Sorokin, and M. Tonin, Phys. Lett. B 408, 135–141 (1997), hep-th/9703127.

P. S. Howe, E. Sezgin, and P. C. West, “Covariant Field Equations of the M-Theory Five-Brane,” Phys. Lett. B 399, 49 (1997), arXiv:hep-th/9702008; P. S. Howe, E. Sezgin, and P. C. West, “The Six-Dimensional Self-Dual Tensor,” Phys. Lett. B 400, 255 (1997), arXiv:hep-th/9702111.

I. A. Bandos, K. Lechner, A. Nurmagambetov, P. Pasti, D. P. Sorokin, and M. Tonin, “On the Equivalence of Different Formulations of the M Theory Five-Brane,” Phys. Lett. B 408, 135 (1997), arXiv:hep-th/9703127.

M. Cederwall, B. E. W. Nilsson, and D. Tsimpis, “D = 10 Super-Yang-Mills at O(alpha**2),” JHEP 0107, 042 (2001), arXiv:hep-th/0104236.

M. Movshev and A. Schwarz, “Supersymmetric Deformations of Maximally Supersymmetric Gauge Theories. I,” arXiv:0910.0620 [hep-th].

M. Cederwall, B. E. W. Nilsson, and D. Tsimpis, “Spinorial Cohomology and Maximally Supersymmetric Theories,” JHEP 0202, 009 (2002), arXiv:hep-th/0110069; M. Cederwall, B. E. W. Nilsson, and D. Tsimpis, “Spinorial Cohomology of Abelian D = 10 Super-Yang-Mills at O(alpha’**3),” JHEP 0211, 023 (2002), arXiv:hep-th/0205165; M. Cederwall, U. Gran, B. E. W. Nilsson, and D. Tsimpis, “Supersymmetric Corrections to Eleven-Dimensional Supergravity,” JHEP 0505, 052 (2005), arXiv:hep-th/0409107.

E. A. Bergshoeff, A. Bilal, M. De Roo, and A. Sevrin, “Supersymmetric Non-Abelian Born-Infeld Revisited,” JHEP 0107, 029 (2001), arXiv:hep-th/0105274.

T. Kugo and P. K. Townsend, “Supersymmetry and the Division Algebras,” Nucl. Phys. B 221, 357–380 (1983); P. S. Howe, G. Sierra, and P. K. Townsend, “Supersymmetry in Six-Dimensions,” Nucl. Phys. B 221, 331–348 (1983)

E. Witten, “Five-Brane Effective Action in M-Theory,” J. Geom. Phys. 22, 103 (1997), arXiv:hep-th/9610234] and references therein.

E. Bergshoeff, J. Hartong, and D. Sorokin, “Q7-Branes and Their Coupling to IIB Supergravity,” JHEP 0712, 079 (2007), arXiv:0708.2287 [hep-th].

J. Bagger and N. Lambert, “Gauge Symmetry and Supersymmetry of Multiple M2-Branes,” Phys. Rev. D 77, 065008 (2008), arXiv:0711.0955 [hep-th]; “Comments on Multiple M2-Branes,” JHEP 0802, 105 (2008), arXiv:0712.3738 [hep-th]; A. Gustavsson, “Algebraic Structures on Parallel M2-Branes,” arXiv:0709.1260 [hep-th]; “Selfdual Strings and Loop Space Nahm Equations,” JHEP 0804, 083 (2008), arXiv:0802.3456 [hep-th].

O. Aharony, O. Bergman, D. L. Jafferis, and J. Maldacena, “N = 6 Superconformal Chern-Simons-Matter Theories, M2-Branes and Their Gravity Duals,” arXiv:0806.1218 [hep-th]; O. Aharony, O. Bergman, and D. L. Jafferis, “Fractional M2-Branes,” JHEP 0811, 043 (2008), arXiv:0807.4924 [hep-th].