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A Note on Enhanced Gauge Symmetries in M- and String Theory
High Energy Physics - Theory · Submitted 13 Jul 1997
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this paper we exhibit the relationship between these two mechanisms by displaying a configuration in M-theory, which, in one limit, can be regarded as membranes wrapped around two cycles with $A_{N-1}$ (D_N) type intersection matrix, and in another limit, can be regarded as open strings stretched between N Dirichlet 6-branes (in the presence of an orientifold plane).
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The abstract, sentence by sentence
Two different mechanisms exist in non-perturbative String / M- theory for enhanced SU(N) (SO(2N)) gauge symmetries. It can appear in type IIA string theory or M-theory near an $A_{N-1}$ (D_N) type singularity where membrnes wrapped around two cycles become massless, or it can appear due to coincident D-branes (and orientifold planes) where open strings stretched between D-branes become massless. In this paper we exhibit the relationship between these two mechanisms by displaying a configuration in M-theory, which, in one limit, can be regarded as membranes wrapped around two cycles with $A_{N-1}$ (D_N) type intersection matrix, and in another limit, can be regarded as open strings stretched between N Dirichlet 6-branes (in the presence of an orientifold plane).
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Two different mechanisms exist in non-perturbative String / M- theory for enhanced SU(N) (SO(2N)) gauge symmetries. | background 1.00 | 0.05 | 0.05 | asserted 1.00 |
| s1 | It can appear in type IIA string theory or M-theory near an $A_{N-1}$ (D_N) type singularity where membrnes wrapped around two cycles become massless, or it can appear due to coincident D-branes (and orientifold planes) where open strings stretched between D-branes become massless. | background 1.00 | 0.05 | 0.05 | asserted 0.65 |
| s2 | In this paper we exhibit the relationship between these two mechanisms by displaying a configuration in M-theory, which, in one limit, can be regarded as membranes wrapped around two cycles with $A_{N-1}$ (D_N) type intersection matrix, and in another limit, can be regarded as open strings stretched between N Dirichlet 6-branes (in the presence of an orientifold plane). | contribution 0.99 | 0.94 | 0.88 | asserted 1.00 |
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Original abstract
Two different mechanisms exist in non-perturbative String / M- theory for enhanced SU(N) (SO(2N)) gauge symmetries. It can appear in type IIA string theory or M-theory near an $A_{N-1}$ (D_N) type singularity where membrnes wrapped around two cycles become massless, or it can appear due to coincident D-branes (and orientifold planes) where open strings stretched between D-branes become massless. In this paper we exhibit the relationship between these two mechanisms by displaying a configuration in M-theory, which, in one limit, can be regarded as membranes wrapped around two cycles with $A_{N-1}$ (D_N) type intersection matrix, and in another limit, can be regarded as open strings stretched between N Dirichlet 6-branes (in the presence of an orientifold plane).
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References
How the literature uses it
29 arXiv papers cite this in 53 sentences
Papers citing it · 44 sentences without a confident label
Cites it as background 9 papers
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This singularity structure goes back to [ref] with further discussion and development in [ref] [ref] [ref] [ref] [ref] [ref] ; the type IIA perspective is considered in [ref] and also briefly in [ref] .
Equivariant Cohomotopy implies orientifold tadpole cancellation · Heterotic M-theory on ADE-orbifolds · 0.84
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The essential degrees of freedom for the realization of such gauge theories localize near specific type of singularities in the extra spatial dimensions [ref] .
Aspects of 4d $\mathcal{N}=1$ $ADE$ gauge theories from M-theory: decomposition, automorphisms, and generalised symmetries · Introduction and summary · 0.90
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Recall that an S-duality transformation, also known as a “9-11 flip”, maps type IIA string theory on the $D_n$-type ALF space to the brane construction involving $n$ D6-branes on top of an O6$^-$ plane [ref] .
Little strings on $D_n$ orbifolds · Effective gauge theories · 0.95
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