BPS states of the non-abelian Born–Infeld action

We propose an equation that describes M2-branes ending on M5-branes, and which generalizes the description of the D1-D3 system via Nahm's equation. The simplest solution to this equation constructs the transverse geometry in terms of a fuzzy three sphere. We show that the solution passes a number of consistency checks including a calculation of the energy of the system, matching to the self-dual string solution in the M5-brane world volume, and a study of simple fluctuations about the ground state configuration. We write down certain terms in the effective action of multiple membranes, which includes a sextic scalar coupling.

show abstract

“…Then, using the identities in Appendix A, it is easy to see that this solves (8) in the large N limit provided that…”

Section: Comparison To the Self-dual String Solutionmentioning

confidence: 99%

“…It is not entirely clear to us whether these matrices should be thought of as the fun-3 Similar BPS bounds for dyons have been constructed in [7,8].…”

Section: Introductionmentioning

confidence: 99%

The M2–M5 brane system and a generalized Nahm's equation

2005

View full text Add to dashboard Cite

show abstract

“…For a non-Abelian gauge group the relations (4) are no longer valid, so there is no direct relationship between the 'determinant' and the 'square root' form of the lagrangian. Therefore the latter can be chosen as an independent starting point for a non-Abelian generalization.…”

Section: Introductionmentioning

confidence: 99%

Sphaleron glueballs in NBI theory with symmetrized trace

Dyadichev¹,

Gal’tsov²

2000

Nuclear Physics B

View full text Add to dashboard Cite

We derive a closed expression for the SU (2) Born-Infeld action with the symmetrized trace for static spherically symmetric purely magnetic configurations. The lagrangian is obtained in terms of elementary functions. Using it, we investigate glueball solutions to the flat space NBI theory and their self-gravitating counterparts. Such solutions, found previously in the NBI model with the 'square rootordinary trace' lagrangian, are shown to persist in the theory with the symmetrized trace lagrangian as well. Although the symmetrized trace NBI equations differ substantially from those of the theory with the ordinary trace, a qualitative picture of glueballs remains essentially the same. Gravity further reduces the difference between solutions in these two models, and, for sufficiently large values of the effective gravitational coupling, solutions tends to the same limiting form. The black holes in the NBI theory with the symmetrized trace are also discussed.

show abstract

“…However, it still remains a relevant and useful theory for membranes and superstrings theories [4,30,34].…”

Section: Born-infeld Nonlinear Equationsmentioning

confidence: 99%

Complex variational calculus with mean of (min, +)-analysis

Gondran

Kenoufi

Gondran

2018

Tend. Mat. Apl. Comput.

View full text Add to dashboard Cite

ABSTRACT. One develops a new mathematical tool, the complex (min, +)-analysis which permits to define a new variational calculus analogous to the classical one (Euler-Lagrange and Hamilton Jacobi equations), but which is well-suited for functions defined from C n to C. We apply this complex variational calculus to Born-Infeld theory of electromagnetism and show why it does not exhibit nonlinear effects.

show abstract

BPS states of the non-abelian Born–Infeld action

Cited by 113 publications

References 16 publications

The M2–M5 brane system and a generalized Nahm's equation

The M2–M5 brane system and a generalized Nahm's equation

Sphaleron glueballs in NBI theory with symmetrized trace

Complex variational calculus with mean of (min, +)-analysis

Contact Info

Product

Resources

About