More on the Nambu-Poisson M5-brane theory: scaling limit, background independence and an all order solution to the Seiberg-Witten map

Chen, Chien-Ho; Furuuchi, Kazuyuki; Ho, Pei-Ming; Takimi, Tomohisa

doi:10.1007/jhep10(2010)100

Cited by 22 publications

(40 citation statements)

References 72 publications

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“…While work has been done to develop a SW map directly in M-theory (see e.g. [41]), we choose here to go the route of performing the usual SW map in type IIA string theory after a 9-11 flip.…”

Section: /11 Flip and Non-commutativitymentioning

confidence: 99%

The omega deformation from string and M-theory

Hellerman

Orlando

Reffert

2012

J. High Energ. Phys.

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We present a string theory construction of Omega-deformed four-dimensional gauge theories with generic values of 1 and 2 . Our solution gives an explicit description of the geometry in the core of Nekrasov and Witten's realization of the instanton partition function, far from the asymptotic region of their background. This construction lifts naturally to M-theory and corresponds to an M5-brane wrapped on a Riemann surface with a selfdual flux. Via a 9-11 flip, we finally reinterpret the Omega deformation in terms of noncommutative geometry. Our solution generates all modified couplings of the Ω-deformed gauge theory, and also yields a geometric origin for the quantum spectral curve of the associated quantum integrable system.

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Section: /11 Flip and Non-commutativitymentioning

confidence: 99%

The omega deformation from string and M-theory

Hellerman

Orlando

Reffert

2012

J. High Energ. Phys.

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“…The analogous Seiberg-Witten map for the M5-brane in C-field background was constructed to all orders in Ref. [11]. It should also be possible to write down the Seiberg-Witten map for Dp-branes in RR (p − 1)-form background.…”

Section: Discussionmentioning

confidence: 99%

“…First we recall that the limit for the Nambu-Poisson structure to dictate world-volume interactions on the M5-brane in C-field background is given as [11] …”

Section: Introductionmentioning

confidence: 99%

Effective action for Dp-brane in large RR (p − 1)-form background

Ho¹,

Ma²

2013

J. High Energ. Phys.

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We construct the low energy effective action for the bosonic sector on a Dp-brane in large constant RR (p − 1)-form field background. The action is invariant under both U (1) gauge symmetry and the volume-preserving diffeomorphism characterizing the RR-field background. Scalar fields representing transverse coordinates of the Dp-brane are included. It also respects T-duality and is consistent with the action for M5-brane in C-field background.

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“…The Nambu-Poisson gauge theory [23,24] is one of the few examples of non-Abelian higher-form gauge theories. It was used to describe an M5-brane in a large C-field background.…”

Section: Higher-form Gauge Symmetriesmentioning

confidence: 99%

Generalized Yang-Mills theory and gravity

2016

Phys. Rev. D

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We propose a generalization of Yang-Mills theory for which the symmetry algebra does not have to be factorized as mutually commuting algebras of a finite-dimensional Lie algebra and the algebra of functions on base space. The algebra of diffeomorphism can be constructed as an example, and a class of gravity theories can be interpreted as generalized Yang-Mills theories. These theories in general include a graviton, a dilaton and a rank-2 antisymmetric field, although Einstein gravity is also included as a special case. We present calculations suggesting that the connection in scattering amplitudes between Yang-Mills theory and gravity via BCJ duality can be made more manifest in this formulation.

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More on the Nambu-Poisson M5-brane theory: scaling limit, background independence and an all order solution to the Seiberg-Witten map

Cited by 22 publications

References 72 publications

The omega deformation from string and M-theory

The omega deformation from string and M-theory

Effective action for Dp-brane in large RR (p − 1)-form background

Generalized Yang-Mills theory and gravity

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