Multiple membranes in M-theory

Bagger, Jonathan; Lambert, Neil; Mukhi, Sunil; Papageorgakis, Constantinos

doi:10.1016/j.physrep.2013.01.006

Cited by 100 publications

(132 citation statements)

References 321 publications

(715 reference statements)

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“…It is straightforward to write the functions f and g in terms of x: 9) while the squashing function is:…”

Section: The Unflavored Systemmentioning

confidence: 99%

“…Let us next find the large x expansion for f , which can be obtained by using the expansion of g and q in the relation e f = √ q e g . We get: 9) where the coefficient f 2 is given by:…”

Section: B Mass Corrections In the Uvmentioning

confidence: 99%

“…The corresponding background is a geometry of the form AdS 4 × CP 3 with fluxes (see refs. [6][7][8][9] for reviews of different aspects of the ABJM theory).…”

Section: Introductionmentioning

confidence: 99%

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Unquenched massive flavors and flows in Chern-Simons matter theories

Bea

Conde

Jokela

et al. 2013

J. High Energ. Phys.

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We construct a holographic dual to the three-dimensional ABJM Chern-Simons matter theory with unquenched massive flavors. The flavor degrees of freedom are introduced by means of D6-branes extended along the gauge theory directions and delocalized in the internal space. To find the solution we have to solve the supergravity equations of motion with the source terms introduced by the D6-branes. The background we get is a running solution representing the renormalization group flow between two fixed points, at the IR and the UV, in both of which the geometry is of the form AdS 4 × M 6 , where M 6 is a six-dimensional compact manifold. Along the flow, N = 1 supersymmetry is preserved and the flavor group is Abelian. The flow is generated by changing the quark mass m q . When m q → ∞ we recover the original unflavored ABJM solution, while for m q → 0 our solution becomes asymptotically equivalent to the one found recently for massless smeared flavors. We study the effects of the dynamical quarks as their mass is varied on different observables, such as the holographic entanglement entropy, the quark-antiquark potential, the two-point functions of high dimension bulk operators, and the mass spectrum of mesons. * yago.bea@fpaxp1.es † econdepe@ulb.ac.be ‡ niko.jokela@usc.es § alfonso@fpaxp1.usc.es

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“…It is straightforward to write the functions f and g in terms of x: 9) while the squashing function is:…”

Section: The Unflavored Systemmentioning

confidence: 99%

“…Let us next find the large x expansion for f , which can be obtained by using the expansion of g and q in the relation e f = √ q e g . We get: 9) where the coefficient f 2 is given by:…”

Section: B Mass Corrections In the Uvmentioning

confidence: 99%

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Unquenched massive flavors and flows in Chern-Simons matter theories

Bea

Conde

Jokela

et al. 2013

J. High Energ. Phys.

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“…Recall that the angular embedding of the D6-brane is characterized by the conditionsω 1 =ω 2 = 0, which imply thatê 5 = 0. Along this submanifold, the pullbacks of the one-forms in (3.23) arê 9) where the hat over the forms denotes the restriction to the angular submanifold defined by the conditionsω 1 =ω 2 = 0. Using these results we get immediately that the pullback of K is given by 10) with Ξ 3 being the following three-form:…”

Section: Flavor Brane Probes At Non-zero Temperaturementioning

confidence: 99%

“…When N and k are large the theory admits a geometric description in terms of an AdS 4 ×CP 3 with fluxes in type IIA supergravity which preserves 24 supersymmetries. The study of this theory and its generalizations has uncovered a very rich structure and has provided new precision tests of the AdS/CFT correspondence (see [6][7][8][9] for reviews of different aspects of the Chern-Simons matter theories).…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of the brane in Chern-Simons matter theories with flavor

Jokela

Mas

Zoakos

2013

J. High Energ. Phys.

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We study the holographic dual of flavors in a Chern-Simons matter theory at nonzero temperature, realized as D6-branes in the type IIA black hole dual in the ABJM background geometry. We consider both massive and massless flavors. The former are treated in the quenched approximation, whereas the massless ones are considered as dynamical objects and their backreaction on the geometry is included in the black hole background. We compute the holographically renormalized action of the probe by imposing several physical conditions. In the limit of massless flavors the free energy and entropy of the probe match non-trivially the first variation of these quantities for the backreacted background when the number of flavors is increased by one unit. We compute several thermodynamical functions for the system and analyze the meson melting phase transition between Minkowski and black hole embeddings.

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Lie algebroids, non‐associative structures and non‐geometric fluxes

Deser¹

2013

Fortschritte der Physik

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In the first part of this article, the geometry of Lie algebroids as well as the Moyal-Weyl star product and some of its generalizations in open string theory are reviewed. A brief introduction to T-duality and non-geometric fluxes is given. Based on these foundations, more recent results are discussed in the second part of the article. On the world-sheet level, we will analyse closed string theory with flat background and constant H-flux. After an odd number of T-dualities, correlation functions allow to extract a three-product having a pattern similar to the Moyal-Weyl product. We then focus on the target space and the local appearance of the various fluxes. An algebra based on vector fields is proposed, whose structure functions are given by the fluxes. Jacobi-identities for vector fields allow for the computation of Bianchi-identities. Based on the latter, we give a proof for a special Courant algebroid structure on the generalized tangent bundle, where the fluxes are realized by the commutation relations of a basis of sections. As reviewed in the first part of this work, in the description of non-geometric Q- and R-fluxes, the B-field gets replaced by a bi-vector \beta, which is supposed to serve as the dual object to B under T-duality. A natural question is about the existence of a differential geometric framework allowing the construction of actions manifestly invariant under coordinate- and gauge transformations, which couple the \beta-field to gravity. It turns out that Lie algebroids are the right language to answer this question positively. We conclude by giving an outlook on future directions.Comment: 105 pages, Ph.D. thesis of the autho

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Multiple membranes in M-theory

Cited by 100 publications

References 321 publications

Unquenched massive flavors and flows in Chern-Simons matter theories

Unquenched massive flavors and flows in Chern-Simons matter theories

Thermodynamics of the brane in Chern-Simons matter theories with flavor

Lie algebroids, non‐associative structures and non‐geometric fluxes

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