Integrable deformations of hat c = 1 strings in flux backgrounds

Davis, Joshua L.; Larsen, Finn; O’Connell, Ross; Vaman, Diana

doi:10.1088/1126-6708/2006/12/008

J. High Energy Phys.

2006

DOI: 10.1088/1126-6708/2006/12/008

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Integrable deformations of hat c = 1 strings in flux backgrounds

Joshua L. Davis

Finn Larsen

Ross O’Connell

et al.

Abstract: We study d = 2 0A string theory perturbed by tachyon momentum modes in backgrounds with non-trivial tachyon condensate and Ramond-Ramond (RR) flux. In the matrix model description, we uncover a complexified Toda lattice hierarchy constrained by a pair of novel holomorphic string equations. We solve these constraints in the classical limit for general RR flux and tachyon condensate. Due to the non-holomorphic nature of the tachyon perturbations, the transcendental equations which we derive for the string suscep… Show more

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“…35) where t o = 0 ≡ 2πR. The above relation can also be viewed from(2.40) in the presence of tachyonic background, if we replace the initial fermionic wave function (2.28) by the dressed one (5.3).…”

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Integrability of type 0A matrix model in the presence of D-brane

Paul

2019

Int. J. Mod. Phys. A

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We consider type 0A matrix model in the presence of spacelike D brane which is localized in matter direction at any arbitrary point. In string theory, the boundary state which in matrix model corresponds to the Laplace transform of the macroscopic loop operator, is known to obey the operator constraints corresponding to open string boundary condition. When we analyze MQM as well as the respective collective field theory and compare it with dual string theory it appears that consistency of the theory requires a condition equivalent to a constraint on the matter part that needed to be imposed in the matrix model. We identified this condition and observed that this has only effect into constraining the macroscopic loop operator so that it projects the Hilbert space generated by the operator to its physical sector at the point of insertion while keeping the bulk matrix model remains unaffected, thereby describing a situation parallel to string theory. We analyzed the theory with uncompactified time and have shown explicitly that the matrix model predictions are in good agreement with the relevant string theory. Next we considered the theory with compactified time, analyzed MQM on a circle in the presence of D brane. We evaluated the partition function along with the constrained macroscopic loop operator in the grand canonical ensemble and showed the free energy corresponds to that of a deformed Fermi surface. We have compared the matrix model features with that of the relevant string theory. We have also shown that the path integral in the presence of D brane can be expressed as the Fredholm determinant. We have studied the fermionic scattering in a semiclassical regime. Finally we considered the compactified theory in the presence of the D brane with tachyonic background.

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confidence: 96%

Integrability of type 0A matrix model in the presence of D-brane

Paul

2019

Int. J. Mod. Phys. A

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Integrable deformations of hat c = 1 strings in flux backgrounds

Cited by 1 publication

References 25 publications

Integrability of type 0A matrix model in the presence of D-brane

Integrability of type 0A matrix model in the presence of D-brane

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