Research Interest of Igor Bandos

      Publication 1: Covariant action for the super-5-brane of M-theory, by I. Bandos, K. Lechner, A. Nurmagambetov, P. Pasti, D. Sorokin and M. Tonin,  Phys. Rev. Lett.  78, 4332—4334 (1997) [hep-th/9701149]. (URL)
      Publication 2: BPS states in M-theory and twistorial constituents, by Igor A. Bandos, José A. de Azcérraga, José M. Izquierdo and Jerzy Lukierski,  Phys. Rev. Lett. 86, 4451-4454, 2001 [hep-th/0101113].  (URL)
      Publication 3: SDiff Gauge Theory and the M2 Condensate, by I.A. Bandos and P.K. Townsend, JHEP 0902, 013 (2009), 35pp. [arXiv:0808.1583v2[hep-th]. (URL)

    URL of Research: 

Statement of Interest:


  My main field of interest is String/M-theory, more 
specifically: brane physics, supergravity and 
supersymmetric field theories, superfield methods.  Among 
the results which we obtained with my collaborators, there 
is the covariant and κ-symmetric action for the M-theory 
super-5-brane [PRL’97=hep-th/9701149]. Searching for a 
complete description  of  the M5-brane  interaction with 
D=11  background we constructed  a new  duality  symmetric 
version  of D=11  supergravity, including both 3-form and 
6-form gauge fields (NPB’98=hep-th/9711055; notice that 
for  many years it was  assumed that such a  formulation 
does not exist at all). 

In one of our recent papers with P.K. Townsend 
(CQG’08=arXiv:0806.4777 [hep-th]) we used the light cone 
gauge fixed M5-brane action of [PRL’97=hep-th/9701149] to 
search for the origin of d=3 N=8 Bagger-Lambert-Gustavsson 
(BLG) model in its Nambu bracket (NB) realization. This BLG 
model attracted recently much attention as a possible 
candidate for the low energy description of multiple 
M2-brane systems; then NB BLG model invariant under 
infinite dimensional SDiff3 (volume preserving 
diffeomorphisms) symmetry describes a condensate of 
M2-branes. The results of  (CQG’08=arXiv:0806.4777) are 
mainly negative in the sense that what we found starting 
from M5-brane in flat superspace is an infinite tension 
limit which reproduces the so-called Carrollian limit of 
the NB BLG model, but not the complete BLG model. The case 
of M5-brane in AdS4xS7 background is under study now. In 
our second paper on this subject 
(JHEP’09=arXiv:0808.1583v2[hep-th]) we put NB BLG model in 
general context of SDiff  gauge theories and also presented 
its N=8 superfield formulations in the standard N=8 
superspace (see also PLB’08= arXiv:0808.3568 [hep-th]) and 
in the so-called the pure spinor superspace.  

Among the tools which we had proposed and used continuously 
in our study of supersymmetric branes there was 
superembedding approach (NPB’95=hep-th/9501113, PLB’95=hep-
th/9502141), which was also recognized and applied by other 
researches. In particular, P. Howe and E. Sezgin used the 
superembedding approach to obtain equations of motion for 
M5-brane and D=10 Dirichlet-branes several months before 
the complete covariant actions for these objects were 
constructed. In one of my recent papers arXiv:0812.2889 
[hep-th] (to appear in JHEP’09) the superembedding approach
was applied to studying the possible existence of new 
7-branes in type IIB theory (namely of the so-called 
Q7-branes, which had been known as supergravity solutions 
and then, some times ago, conjectured to be supersymmetric 
dynamical objects described by a supersymmetric and kappa- 
symmetric worldvolume action). This investigation suggested 
possible application of superembedding approach to the old 
standing problem of supersymmetric and Lorentz covariant 
description of multiple Dp-brane systems, also known as a 
search for supersymmetric non-Abelian DBI action; this is 
presently under investigation. 

Among other topics of my research interest there are the 
problems of fundamental degrees of freedom of M-theory 
(see PRL’2000=hep-th/0101113, PRD’04=hep-th/0312266), 
of twistor approach and twistor string 
(see JHEP’06=hep-th/0604037 and refs. therein), 
of constructing selfconsistent interaction of higher spin 
fields (see PRD’2000=hep-th/9907113, JHEP’04=hep-
th/0407180, JHEP’05=hep-th/0501113) 
and the old-standing problem of the covariant superstring 
quantization, presently in the form of searching for the 
origin and meaning of the pure spinor formalism 
(see PLB’07= arXiv:0707.2336, NPB’08= arXiv:0710.4342) and 
for its possible generalizations.