135 research outputs found

    Analytic solutions for Dp branes in SFT

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    This is the follow-up of a previous paper [ArXiv:1105.5926], where we calculated the energy of an analytic lump solution in SFT, representing a D24-brane. Here we describe an analytic solution for a Dp-brane, for any p, and compute its energy.Comment: 14 page

    Marginal Deformations as Lower Dimensional D-brane Solutions in Open String Field theory

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    By direct calculation we showed that a finite analytic solution for marginal deformation of open string field theory, by a matter primary operator with singular OPE, can be obtained to all orders in the deformation parameter. In particular, we obtained solutions that describe lower dimensional D-branes and our results agree with the results obtained when the same problem is treated in the world-sheet conformal field theory language.Comment: 19 pages, 4 figure

    Abelian Gauge Invariance of the WZ-type Coupling in ABJM Theory

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    We construct the interaction terms between the worldvolume fields of multiple M2-branes and 3-form gauge field of 11-dimensional supergravity, in the context of ABJM theory. The obtained Wess-Zumino-type coupling is simultaneously invariant under the UL(N)×_{\textrm{L}}(N)\timesUR(N)_{\textrm{R}}(N) non-Abelian gauge transformation of the ABJM theory and the Abelian gauge transformation of the 3-form field in 11-dimensional supergravity.Comment: 16 pages, minor corrections, published versio

    Gravity from Entanglement and RG Flow in a Top-down Approach

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    The duality between a dd-dimensional conformal field theory with relevant deformation and a gravity theory on an asymptotically AdSd+1_{d+1} geometry, has become a suitable tool in the investigation of the emergence of gravity from quantum entanglement in field theory. Recently, we have tested the duality between the mass-deformed ABJM theory and asymptotically AdS4_4 gravity theory, which is obtained from the KK reduction of the 11-dimensional supergravity on the LLM geometry. In this paper, we extend the KK reduction procedure beyond the linear order and establish non-trivial KK maps between 4-dimensional fields and 11-dimensional fluctuations. We rely on this gauge/gravity duality to calculate the entanglement entropy by using the Ryu-Takayanagi holographic formula and the path integral method developed by Faulkner. We show that the entanglement entropies obtained using these two methods agree when the asymptotically AdS4_4 metric satisfies the linearized Einstein equation with nonvanishing energy-momentum tensor for two scalar fields. These scalar fields encode the information of the relevant deformation of the ABJM theory. This confirms that the asymptotic limit of LLM geometry is the emergent gravity of the quantum entanglement in the mass-deformed ABJM theory with a small mass parameter. We also comment on the issue of the relative entropy and the Fisher information in our setup.Comment: 42 pages, no figure, minor corrections, references adde

    Exact Holography of the Mass-deformed M2-brane Theory

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    We test the holographic relation between the vacuum expectation values of gauge invariant operators in N=6{\cal N} = 6 Uk(N)×U−k(N){\rm U}_k(N)\times {\rm U}_{-k}(N) mass-deformed ABJM theory and the LLM geometries with Zk\mathbb{Z}_k orbifold in 11-dimensional supergravity. To do that, we apply the Kaluza-Klein reduction to construct a 4-dimensional gravity theory and implement the holographic renormalization procedure. We obtain an exact holographic relation for the vacuum expectation values of the chiral primary operator with conformal dimension Δ=1\Delta = 1, which is given by ⟨O(Δ=1)⟩=N32 f(Δ=1)\langle {\cal O}^{(\Delta=1)}\rangle= N^{\frac32} \, f_{(\Delta=1)}, for large NN and k=1k=1. Here factor f(Δ)f_{(\Delta)} is independent of NN. Our results involve infinite number of exact dual relations for all possible supersymmetric Higgs vacua and so provide a nontrivial test of gauge/gravity duality away from the conformal fixed point. We also extend our results to the case of k≠1k\ne 1 for LLM geometries represented by rectangular-shaped Young-diagrams.Comment: 6 pages, major corrections in section 3 and 4, references added, title change

    Mass-deformed ABJM Theory and LLM Geometries: Exact Holography

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    We present a detailed account and extension of our claim in arXiv:1610.01490. We test the gauge/gravity duality between the N=6{\cal N} = 6 mass-deformed ABJM theory with Uk(N)×_k(N)\timesU−k(N)_{-k}(N) gauge symmetry and the 11-dimensional supergravity on LLM geometries with SO(4)/Zk{\mathbb Z}_k ×\timesSO(4)/Zk{\mathbb Z}_k isometry, in the large NN limit. Our analysis is based on the evaluation of vacuum expectation values of chiral primary operators from the supersymmetric vacua of mass-deformed ABJM theory and from the implementation of Kaluza-Klein holography to the LLM geometries. We focus on the chiral primary operator with conformal dimension Δ=1\Delta = 1. We show that ⟨O(Δ=1)⟩=N32 f(Δ=1)\langle {\cal O}^{(\Delta=1)}\rangle= N^{\frac32} \, f_{(\Delta=1)} for all supersymmetric vacuum solutions and LLM geometries with k=1k=1, where the factor f(Δ)f_{(\Delta)} is independent of NN. We also confirm that the vacuum expectation value of the the energy momentum tensor is vanishing as expected by the supersymmetry. We extend our results to the case of k≠1k\ne 1 for LLM geometries represented by rectangular-shaped Young-diagrams. In analogy with the Coulomb branch of the N=4{\cal N} = 4 super Yang-Mills theory, we argue that the discrete Higgs vacua of the mABJM theory as well as the corresponding LLM geometries are parametrized by the vevs of the chiral primary operators.Comment: 44 pages, 1 figure, major corrections in section 3 and 5, references added, title change

    Tanggung Jawab Dan Upaya Penyelesaian Perselisihan Antara PT Pertamina (Persero) Dengan Pihak SPBU Dalam Pelaksanaan Perjanjian Pendistribusian Bahan Bakar Minyak Di Kota Kendari

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    Author raised the issue about form of responsibility and dispute resolution efforts PT Pertamina with the filling stations in the implementation of Fuel Distribution Agreement, while the form of an agreement between two parties is a kind of standard contract which it created and defined by the party dominates, namely PT Pertamina, so often have problems in implementing the agreement that has been agreed upon by both parties, One is in default which resulted in one of the parties should be responsible for problems that arise. The existence of some of the contents of the agreement are not properly implemented, will impact a loss for the other party, so as to overcome this is necessary to responsibility and remedies that must be done to overcome the existing problems. The purpose of this study was to determine and analyze the form of responsibility and remedies undertaken by PT Pertamina (Persero) in the event of a default problems in implementing the distribution of fuel to the General Fuel Station in Kendari city. The research by the author using socio-juridical where researchers looked at the facts that occurred in the field and examined by reference to the letter of the law and existing agreements. Results of this study concluded that in implementing the agreement, especially regarding the implementation of rights and obligations, still found a common problem that, PT Pertamina provide some ways that can be done as a form of responsibility to resolve the existing problems. As for the remedies to be taken in the event of a dispute related to the existing problems, can be done with two options, namely, by deliberation and litigation (court), as agreed in the contents of the agreement. Thus, to solve this problem required cooperation by all parties concerned. Both the PT Pertamina, gas stations, and Local Government
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