RECORD
M5 brane from mass deformed BLG theory
High Energy Physics - Theory · Submitted 14 Sep 2009
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We realize the BLG theory by a Nambu bracket and find a maximally supersymmetric lagrangian for the fluctuation fields corresponding to a single M5 brane on $\mb{R}^{1,2}\times S^3$.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We study small fluctuations around a BPS three-sphere vacuum solution of mass deformed BLG theory. We realize the BLG theory by a Nambu bracket and find a maximally supersymmetric lagrangian for the fluctuation fields corresponding to a single M5 brane on $\mb{R}^{1,2}\times S^3$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study small fluctuations around a BPS three-sphere vacuum solution of mass deformed BLG theory. | contribution 0.96 | 0.92 | 0.08 | asserted 0.92 |
| s1 | We realize the BLG theory by a Nambu bracket and find a maximally supersymmetric lagrangian for the fluctuation fields corresponding to a single M5 brane on $\mb{R}^{1,2}\times S^3$. | contribution 0.48 | 0.95 | 0.69 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v3
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We study small fluctuations around a BPS three-sphere vacuum solution of mass deformed BLG theory. We realize the BLG theory by a Nambu bracket and find a maximally supersymmetric lagrangian for the fluctuation fields corresponding to a single M5 brane on $\mb{R}^{1,2}\times S^3$.
Human review
References
How the literature uses it
7 arXiv papers cite this in 10 sentences
Papers citing it · 4 sentences without a confident label
Contests it 1 paper
-
We list these terms below, expanded around the vacuum to quadratic order (more details on this computation are found in [ref] , though there is some crucial sign error in this work), Ł_pot = - 1/2 (D_αY^α)^2 - 1/R^2 Y^α Y_α + \(3/2 - 3^2\) \(Y/R\)^2 - 6 Y/R D_α Y^α - 1/2 g^αβ ∂_α Y ∂_β Y - 1/2R^2 Y^α Y_α Ł_flux = 4 Y/R D_αY^α + 6 \(Y/R\)^2 + 2/R^2 Y^αY_α Ł_m = -1/2R^2 Y^α Y_α - 1/2 \(Y/R\)^2 Summing these contributions we get the following contribution from the mass-deformed sextic potential Ł_mpot = -1/2 (D_αY^α)^2 - 2 Y/R D_αY^α - 2 \(Y/R\)^2 - 1/2 g^αβ ∂_α Y ∂_β Y In particular we see that the mass term for $Y^α$ vanishes by a fortunate cancelation.
M5 brane on $R^{1,2} \times S^3$ · Deconstructing M5 brane Lagrangian · contest 0.94
Cites it as background 5 papers
-
Starting from the BLG model, an action for M5-brane was constructed in Ho-Matsuo [ref] and Ho-Imamura-Matsuo-Shiba [ref] by taking the Lie 3-algebra which is defined through the Nambu-bracket [ref] .[ Also see Ref. [ref] for a similar construction of M5-brane action in a different background.] This is in parallel with the construction of a D$p$-brane in a constant $B$-field background from infinitely many D($p-2$)-branes [ref] .
Non-Linearly Extended Self-Dual Relations From The Nambu-Bracket Description Of M5-Brane In A Constant C-Field Background · Introduction · 0.91
-
In another line of development, BPS configurations of the BLG theory have been studied leading to their classification based on R-symmetry breaking [ref] , following a similar classification in Yang-Mills theories [ref] .
Moduli and BPS configurations of the BLG theory · Introduction · 0.92
-
It is possible to break the Lorentz symmetry down to the $SIM(1)$ symmetry by adding a suitable mass term [ref] [equation] It may be noted that the mass deformed BLG theory is thought to be related to the theory of M5-branes [ref] .
Chern-Simons Theory in SIM(1) Superspace · Chern-Simons Theory with $SIM(1)$ Projections · 0.87
What it cites · 33 sentences without a confident label
Uses the method or tool of 2 papers
-
In the spirit of [ref] , we will obtain the induced theory of small fluctuations about the maximally supersymmetric three-sphere vacuum solution of BLG theory.
Noncommutative Gauge Theory on Fuzzy Sphere from Matrix Model · Fluctuation analysis · 0.85
-
In the spirit of [ref] , we will obtain the induced theory of small fluctuations about the maximally supersymmetric three-sphere vacuum solution of BLG theory.
The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories · Fluctuation analysis · 0.85
Compares with 1 paper
-
Since many calculations in our paper are the same as those in [ref] , we should contrast those calculations with ours.
M5 from M2 · Fluctuation analysis · 0.99
Cites as background 9 papers
-
ABJM theories can also be formulated using a particular class of three-algebras [ref] called hermitian three-algebras.
Three-Algebras and N=6 Chern-Simons Gauge Theories · Introduction · 0.91
-
Previous work on relating BLG theory with a Nambu three-bracket to M5 brane can be found in [ref] .
Taking off the square root of Nambu-Goto action and obtaining Filippov-Lie algebra gauge theory action · Fluctuation analysis · 0.99
-
The low energy effective theory living on finitely many coincident M2 branes probing the orbifold singularity $R^8/Z_k$ was found in [ref] .
N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals · Introduction · 0.99
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.