Hamiltonian analysis of a Green-Schwarz sigma model on a supercoset target with ℤ _{4 m} grading

Abstract

We perform a Hamiltonian analysis of the Green-Schwarz sigma model on a supercoset target with ℤ4m grading. The fundamental Poisson brackets between the spatial component of the flat currents depending on a continuous parameter, which can be thought of as a first step in the complete calculation of the algebra of the transition matrices, are obtained. When m = 1, our results are reduced to the results of the type IIB Green-Schwarz superstring on AdS5 × S5 background obtained by Das, Melikyan and Sato.

Integrable Coupled σ Models

“…The first N of these, obtained by setting z = z r , are the Maurer-Cartan equations for the currents j (r) ± (x, t). The remaining N equations are most easily obtained by taking a derivative of (7) with respect to z and then setting z = z r . Making use of the identity (6) and of…”

“…This is a rational function ϕ(z) of the spectral parameter z which, for a very broad family of classical integrable field theories, controls the integrable structure of these theories through the Poisson bracket of the Lax matrix. It was proved [2,[4][5][6][7][8][9][10][11][12][13][14][15] that this family includes non-linear integrable σ-models and in particular ones which are relevant to the study of the AdS/CFT correspondence. In this setting, the twist function can be used, for instance, to deform these theories while preserving integrability [8,12].…”

Preparation and biological evaluation of 99mTcN‐labeled pteroyl‐lys derivative as a potential folate receptor imaging agent

“…The role of the Glu residue of folate and the necessity of a free α-carboxyl group to retain binding affinity to FR are still debated in the literature. 23,24 The results of recent studies showed both γ-glutamyl-linked and α-glutamyl-linked conjugates were able to bind to FR-positive cells in vitro. 17,25 However, the γ-derivative possessed more favorable pharmacokinetic features than the α-derivative, which indicated that the γ-carboxyl group should be a better site for derivatization to synthesize the folate conjugates.…”

“…Meanwhile, the FR is highly restricted in most normal human tissues, [4][5][6] which makes the FR an important molecular target to develop novel radiolabeled probes for FR-positive tumor detection. 7 For the past few years, several folate-based radiopharmaceuticals have been investigated for single-photon emission computed tomography and positron emission tomography imaging purpose. [8][9][10] Among them, 111 In-DTPA-folate (γ) has been evaluated in phase I/II clinical studies and appeared to be an effective probe to distinguish benign and malignant ovarian masses.…”