scholarly journals THERMAL D-BRANE BOUNDARY STATES FROM TYPE IIB GREEN–SCHWARZ SUPERSTRING IN pp-WAVE BACKGROUND

2008 ◽  
Vol 23 (27n28) ◽  
pp. 4485-4507 ◽  
Author(s):  
ION V. VANCEA
Keyword(s):  
Light Cone ◽  
Canonical Ensemble ◽  
Flat Space ◽  
Total System ◽  
Light Cone Gauge ◽  
Expectation Value ◽  
Boundary State ◽  
Boundary States ◽  
Pp Wave ◽  
The One

We construct the thermal boundary states from the type IIB Green–Schwarz superstring in pp-wave background in the light-cone gauge. The superstring is treated in the canonical ensemble and in the TFD formalism which is appropriate to discuss canonically quantized systems. The thermal boundary states are obtained by thermalizing the total boundary states which are the boundary states of the total system that is composed by the superstring modes and the corresponding thermal reservoir modes. That analysis is similar to the one in the flat space–time case.67 However, there are some subtleties concerning the construction of the total string which are discussed. Next, we compute the entropy of thermal boundary state which is defined as the expectation value of the superstring entropy operator in the thermal boundary state.

scholarly journals LIGHT CONE SUPERSTRINGS IN ADS SPACE

2001 ◽  
Vol 16 (05) ◽  
pp. 900-909 ◽  
Author(s):  
A. A. TSEYTLIN
Keyword(s):  
Phase Space ◽  
Light Cone ◽  
Lorentz Invariance ◽  
Flat Space ◽  
Light Cone Gauge ◽  
Conformal Gauge ◽  
Kappa Symmetry ◽  
Gauge Conditions

We discuss light-cone gauge description of type IIB Green-Schwarz superstring in AdS5× S5 with a hope to make progress towards understanding spectrum of this theory. As in flat space, fixing light-cone gauge consists of two steps: (i) fixing kappa symmetry in such a way that the fermionic part of the action does not depend on x-; (ii) fixing 2-d reparametrizations by x+=τ and a condition on 2-d metric. In curved AdS space the latter cannot be the standard conformal gauge and breaks manifest 2-d Lorentz invariance. It is natural, therefore, to work in phase-space framework, imposing the GGRT light-cone gauge conditions x+=τ, P+= const. We obtain the resulting light-cone superstring Hamiltonian.

scholarly journals LIGHT-CONE GAUGE HAMILTONIAN FOR AdS4 × ℂℙ3 SUPERSTRING

2010 ◽  
Vol 25 (15) ◽  
pp. 1251-1265 ◽  
Author(s):  
D. V. UVAROV
Keyword(s):  
Phase Space ◽  
Light Cone ◽  
Flat Space ◽  
Quadratic Approximation ◽  
Light Cone Gauge ◽  
Space Formulation ◽  
Physical Variables

We develop the phase-space formulation for the Type IIA superstring on the AdS4 × ℂℙ3 background in the κ-symmetry light-cone gauge for which the light-like directions are taken from the D = 3 Minkowski boundary of AdS4. After fixing bosonic light-cone gauge, the superstring Hamiltonian is expressed as a function of the transverse physical variables and in the quadratic approximation corresponds to the light-cone gauge-fixed IIA superstring in flat space.

scholarly journals Superfield approach to interacting N = 2 massive and massless supermultiplets in 3d flat space

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
R. R. Metsaev
Keyword(s):  
Light Cone ◽  
Three Dimensional ◽  
Flat Space ◽  
Arbitrary Spin ◽  
Massless Scalar ◽  
Light Cone Gauge ◽  
First Derivative ◽  
Integer Spin ◽  
Half Integer

Abstract Massive arbitrary spin supermultiplets and massless (scalar and spin one-half) supermultiplets of the N = 2 Poincaré superalgebra in three-dimensional flat space are considered. Both the integer spin and half-integer spin supermultiplets are studied. For such massive and massless supermultiplets, a formulation in terms of light-cone gauge unconstrained superfields defined in a momentum superspace is developed. For the supermultiplets under consideration a superspace first derivative representation for all cubic interaction vertices is obtained. A superspace representation for dynamical generators of the N = 2 Poincaré superalgebra is also found.

scholarly journals CLOSED BOSONIC STRING PARTITION FUNCTION IN TIME INDEPENDENT EXACT pp-WAVE BACKGROUND

2006 ◽  
Vol 21 (05) ◽  
pp. 995-1013
Author(s):  
AGAPITOS HATZINIKITAS ◽  
IOANNIS SMYRNAKIS
Keyword(s):  
Partition Function ◽  
Light Cone ◽  
Free Field ◽  
Bosonic String ◽  
Covariant Form ◽  
Modular Invariant ◽  
Light Cone Gauge ◽  
Axion Field ◽  
Pp Wave ◽  
Closed Bosonic String

The modular invariance of the one-loop partition function of the closed bosonic string in four dimensions in the presence of certain homogeneous exact pp -wave backgrounds is studied. In the absence of an axion field, the partition function is found to be modular invariant and equal to the free field partition function. The partition function remains unchanged also in the presence of a fixed axion field. However, in this case, the covariant form of the action suggests summation over all possible twists generated by the axion field. This is shown to modify the partition function. In the light-cone gauge, the axion field generates twists only in the worldsheet σ-direction, so the resulting partition function is not modular invariant, hence wrong. To obtain the correct partition function one needs to sum over twists in the t-direction as well, as suggested by the covariant form of the action away from the light-cone gauge.

SOME REMARKS CONCERNING THE FINITENESS OF N=4 SUPERSYMMETRIC YANG MILLS THEORIES

1988 ◽  
Vol 03 (01) ◽  
pp. 65-70 ◽  
Author(s):  
A. Bassetto ◽  
M. Dalbosco
Keyword(s):  
Light Cone ◽  
Green Functions ◽  
Loop Order ◽  
Light Cone Gauge ◽  
Yang Mills ◽  
Loop Level ◽  
Recent Treatment ◽  
The One

We carefully discuss the finiteness of SUSY YM N=4 in the light cone gauge, first at the one loop level by directly exhibiting the relevant terms of the lowest order Green functions and then at any loop order by using a recent treatment of the renormalization of general Yang-Mills theories in the light cone gauge. We point out the existence of a set of divergent Green functions which however do not contribute to observable quantities, thereby recovering consistency with formulations in other gauges.

scholarly journals Integrable boundary states in D3-D5 dCFT: beyond scalars

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Charlotte Kristjansen ◽  
Dennis Müller ◽  
Konstantin Zarembo
Keyword(s):  
Perturbation Theory ◽  
Domain Wall ◽  
Gauge Group ◽  
Spin Chain ◽  
Boundary State ◽  
Boundary States ◽  
Local Operators ◽  
Set Up ◽  
The One

Abstract A D3-D5 intersection gives rise to a defect CFT, wherein the rank of the gauge group jumps by k units across a domain wall. The one-point functions of local operators in this set-up map to overlaps between on-shell Bethe states in the underlying spin chain and a boundary state representing the D5 brane. Focussing on the k = 1 case, we extend the construction to gluonic and fermionic sectors, which was prohibitively difficult for k > 1. As a byproduct, we test an all-loop proposal for the one-point functions in the su(2) sector at the half-wrapping order of perturbation theory.

scholarly journals THE MASTER FIELD OF QCD2 AND THE 't HOOFT EQUATION

1993 ◽  
Vol 08 (25) ◽  
pp. 2427-2434 ◽  
Author(s):  
MARCO CAVICCHI ◽  
PAOLO DI VECCHIA ◽  
IGOR PESANDO
Keyword(s):  
Saddle Point ◽  
Light Cone ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Equation Of Motion ◽  
Light Cone Gauge ◽  
Expectation Value ◽  
Bilocal Field

We rewrite the action for QCD 2 in the light-cone gauge only in terms of a bilocal mesonic field. In this formalism the 1/N expansion can be done in a straightforward way by a saddle point technique that determines the master field to be identified with the vacuum expectation value of the bilocal field. Finally we show that the equation of motion for the fluctuations around the master field is identical with the 't Hooft meson equation.

CHIRAL SUPERCONDUCTING MEMBRANES

2002 ◽  
Vol 17 (01) ◽  
pp. 73-87 ◽  
Author(s):  
RUBÉN CORDERO ◽  
EFRAÍN ROJAS
Keyword(s):  
Light Cone ◽  
Domain Walls ◽  
String Model ◽  
Point Of View ◽  
Lagrangian Description ◽  
Geometrical Approach ◽  
Light Cone Gauge ◽  
The One

We develop the dynamics of the chiral superconducting membranes (with null current) in an alternative geometrical approach either making a Lagrangian description and a Hamiltonian point of view. Besides this, we show the equivalence of the resulting descriptions to the one known Dirac–Nambu–Goto (DNG) case. Integrability for chiral string model is obtained using a proposed light-cone gauge. In a similar way, domain walls are integrated by means of a simple ansatz. We compare the results with recent works that appeared in the literature.

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