KK-masses in dipole deformed field theories

Landsteiner, Karl; Montero, Sergio

doi:10.1088/1126-6708/2006/04/025

Cited by 6 publications

(6 citation statements)

References 18 publications

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“…We explicitly show that the KK modes are heavier in the presence of the NS fluxes which for confining theories was first observed in the second paper of [35]. Being explicit, our solution does not have the potential problems detailed in [36]. Our solution represents a concrete example of a dipole deformed field theory, even though for all IR effects (that we are mostly concerned with) the dipole deformations are not visible.…”

Section: Introductionsupporting

confidence: 57%

Gauge-gravity dualities, dipoles and new non-Kähler manifolds

et al. 2006

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In this work we explore many directions in the framework of gauge-gravity dualities. In type IIB theory we give an explicit derivation of the local metric for five branes wrapped on rigid two-cycles. Our derivation involves various interplays between warp factors, dualities and fluxes and the final result confirms our earlier predictions. We also find a novel dipole-like deformation of the background due to an inherent orientifold projection in the full global geometry. The supergravity solution for this deformation takes into account various things like the presence of a non-trivial background topology and fluxes as well as branes. Considering these, we manage to calculate the precise local solution using equations of motion. We also show that this dipole-like deformation has the desired property of decoupling the Kaluza-Klein modes from the IR gauge theory. Finally, for the heterotic theory we find new non-Kähler complex manifolds that partake in the full gauge-gravity dualities and study the mathematical structures of these manifolds including the torsion classes, Betti numbers and other topological data.

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Section: Introductionsupporting

confidence: 57%

Gauge-gravity dualities, dipoles and new non-Kähler manifolds

et al. 2006

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“…This analysis is considerably simplified for the branes in M-theory, which we will be discussing because for every choice of the T 3 used to generate the new solution, C may be set to zero in the original solution 3 . For some simple cases, ( 9) and (10) are the only changes required to prodce the new solution. There are, however, extra terms arising when, for example, the T 3 is completely in the space perpendicular to the membrane world volume.…”

Section: Deformation Methodsmentioning

confidence: 99%

“…For the D3 brane, the undeformed world volume theory is N = 4 Yang-Mills. Its deformations include: noncommutative Yang-Mills where the Neveu-Shwarz two form is present along the brane world volume [1][2][3][4][5]; the so called dipole theory where the Neveu-Schwarz two form is present with one leg along the brane world volume and one off it [6][7][8][9][10]; and finally the N = 1 β-deformed Yang-Mills theory where the Neveu Schwarz two form is present entirely off the brane world volume [11]. Often these deformed theories have interesting properties such as the S-duality properties of the marginally deformed N = 4 theory [12].…”

Section: Introductionmentioning

confidence: 99%

M-theory brane deformations

Berman

Tadrowski

2008

Nuclear Physics B

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Using the techniques developed by Lunin and Maldacena we calaculate the supergravity solutions of membranes and fivebranes in the presence of a background C field. All the distinct possible C-field configurations are explored.Decoupling limits for these branes are then described that preserve the deformation leading to families of M-theory brane deformation duals. The decoupled geometry is then explored using probe brane techniques and brane thermodynamics.

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“…Emergence of this length scale affects the behaviour of the theory at both low and high energies. For instance, at low energies, the dipole deformation leads to the appearance of a non-trivial ground state, which breaks the supersymmetry of the theory [21][22][23][24]. This ground state is characterized by a set of vortices that are responsible for the formation of a condensate of the gauge field.…”

Section: Introductionmentioning

confidence: 99%

“…This ground state is characterized by a set of vortices that are responsible for the formation of a condensate of the gauge field. At high energies, the dipole deformation affects the scattering amplitudes of the gauge bosons [22,25], leading to the emergence of new kinematical regions that are not present in the original theory. For instance, in the behaviour of the scattering amplitudes in the presence of a background magnetic field, where the dipole deformation leads to a modification of the Landau levels of the charged particles.…”

Section: Introductionmentioning

confidence: 99%

Entanglement wedge cross-section for noncommutative Yang-Mills theory

Chowdhury

Saha

Gangopadhyay

2022

J. High Energ. Phys.

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The signature of noncommutativity on various measures of entanglement has been observed by considering the holographic dual of noncommutative super Yang-Mills theory. We have followed a systematic analytical approach in order to compute the holographic entanglement entropy corresponding to a strip like subsystem of length l. The relationship between the subsystem size (in dimensionless form) $$ \frac{l}{a} $$ l a and the turning point (in dimensionless form) introduces a critical length scale $$ \frac{l_c}{a} $$ l c a which leads to three domains in the theory, namely, the deep UV domain (l < lc; aut » 1, aut ∼ aub), deep noncommutative domain (l > lc, aub> aut » 1) and deep IR domain (l > lc, aut « 1). This in turn means that the length scale lc distinctly points out the UV/IR mixing property of the non-local theory under consideration. We have carried out the holographic study of entanglement entropy for each of these domains by employing both analytical and numerical techniques. The broken Lorentz symmetry induced by noncommutativity has motivated us to redefine the entropic c-function. We have obtained the noncommutative correction to the c-function upto leading order in the noncommutative parameter. We have also looked at the behaviour of this quantity over all the domains of the theory. We then move on to compute the minimal cross-section area of the entanglement wedge by considering two dis- joint subsystems A and B. On the basis of EP = EW duality, this leads to the holographic computation of the entanglement of purification. The correlation between two subsystems, namely, the holographic mutual information I(A : B) has also been computed. Moreover, the computations of EW and I(A : B) has been done for each of the domains in the theory. We have then briefly discussed the effect of the UV cut-off on the IR behaviours of these quantities. Finally, we consider a black hole geometry with a noncommutative parameter and study the influence of both noncommutativity and finite temperature on the various measures of quantum entanglement.

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KK-masses in dipole deformed field theories

Cited by 6 publications

References 18 publications

Gauge-gravity dualities, dipoles and new non-Kähler manifolds

Gauge-gravity dualities, dipoles and new non-Kähler manifolds

M-theory brane deformations

Entanglement wedge cross-section for noncommutative Yang-Mills theory

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