D-BRANES AND KRAMERS-WANNIER DUALITY IN NON-CRITICAL SUPERSTRING THEORY

We study boundary states in (p,q) minimal superstring theory, combining the explicit form of matter wave functions. Within the modular bootstrap framework, Cardy states of (p, q) minimal superconformal field theory are completely determined in both cases of the different supercharge combinations, and the remaining consistency checks in the super-Liouville case are also performed. Using these boundary states, we determine the explicit form of FZZT- and ZZ-brane boundary states both in each GSO projection. Annulus amplitudes of FZZT branes are evaluated and principal FZZT branes are identified. In particular, we found that these principal FZZT branes do not satisfy Cardy's consistency conditions for each other and play a role of order/disorder parameters of a Kramers-Wannier duality in spacetime of this superstring theory. This presentation is based on the paper1.

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SUPERCONFORMAL FIELD THEORY WITH BOUNDARY: SPIN MODEL

Modern Physics Letters A ◽

10.1142/s0217732399000250 ◽

1999 ◽

Vol 14 (03) ◽

pp. 211-221 ◽

Cited By ~ 6

Author(s):

S. A. APIKYAN ◽

D. A. SAHAKYAN

Keyword(s):

Field Theory ◽

Spin Model ◽

Superconformal Field Theory ◽

Boundary States ◽

Structure Constants ◽

Bulk Structure

The GSO projected superconformal field theory (spin model) with boundary is studied. Boundary states, one-point structure constants, and "bootstrap" equations for the boundary–bulk structure constants are derived.

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SUPERCONFORMAL FIELD THEORY WITH BOUNDARY: FERMIONIC MODEL

Modern Physics Letters A ◽

10.1142/s0217732398001856 ◽

1998 ◽

Vol 13 (22) ◽

pp. 1781-1790 ◽

Cited By ~ 4

Author(s):

S. A. APIKYAN ◽

D. A. SAHAKYAN

Keyword(s):

Field Theory ◽

Ward Identity ◽

Boundary Structure ◽

Spin Models ◽

Fermionic Model ◽

Superconformal Field Theory ◽

Boundary States ◽

Structure Constants

Fermionic model of superconformal field theory with boundary is considered. The "boundary" Ward identity for this theory is written and the boundary states for fermionic and spin models are constructed. For this model, the "bootstrap" equations for boundary structure constants are derived.

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Role of wavefront and velocity distribution with magnetic lens on matter-wave diffraction in near-field regime

Journal of Physics Conference Series ◽

10.1088/1742-6596/1719/1/012022 ◽

2021 ◽

Vol 1719 (1) ◽

pp. 012022

Author(s):

K Wongrach ◽

J Janpoon ◽

S Deachapunya ◽

S Srisuphaphon

Keyword(s):

Velocity Distribution ◽

Wave Diffraction ◽

Near Field ◽

Matter Wave ◽

Magnetic Lens

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Temperature-Induced Plasmon Excitations for the α–T3 Lattice in Perpendicular Magnetic Field

Nanomaterials ◽

10.3390/nano11071720 ◽

2021 ◽

Vol 11 (7) ◽

pp. 1720

Author(s):

Antonios Balassis ◽

Godfrey Gumbs ◽

Oleksiy Roslyak

Keyword(s):

Magnetic Field ◽

Magnetic Fields ◽

Zeeman Splitting ◽

Mass Term ◽

Energy Dispersive Spectrum ◽

Wave Functions ◽

Transition Energies ◽

Gap Opening ◽

Quantizing Magnetic Field

We have investigated the α–T3 model in the presence of a mass term which opens a gap in the energy dispersive spectrum, as well as under a uniform perpendicular quantizing magnetic field. The gap opening mass term plays the role of Zeeman splitting at low magnetic fields for this pseudospin-1 system, and, as a consequence, we are able to compare physical properties of the the α–T3 model at low and high magnetic fields. Specifically, we explore the magnetoplasmon dispersion relation in these two extreme limits. Central to the calculation of these collective modes is the dielectric function which is determined by the polarizability of the system. This latter function is generated by transition energies between subband states, as well as the overlap of their wave functions.

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Celestial superamplitude in $$ \mathcal{N} $$ = 4 SYM theory

Journal of High Energy Physics ◽

10.1007/jhep08(2021)031 ◽

2021 ◽

Vol 2021 (8) ◽

Author(s):

Hongliang Jiang

Keyword(s):

Field Theory ◽

Conformal Field Theory ◽

Scattering Amplitudes ◽

Momentum Space ◽

Ward Identity ◽

Yang Mills ◽

Conformal Field ◽

New Perspective ◽

Celestial Sphere

Abstract Celestial amplitude is a new reformulation of momentum space scattering amplitudes and offers a promising way for flat holography. In this paper, we study the celestial amplitudes in $$ \mathcal{N} $$ N = 4 Super-Yang-Mills (SYM) theory aiming at understanding the role of superconformal symmetry in celestial holography. We first construct the superconformal generators acting on the celestial superfield which assembles all the on-shell fields in the multiplet together in terms of celestial variables and Grassmann parameters. These generators satisfy the superconformal algebra of $$ \mathcal{N} $$ N = 4 SYM theory. We also compute the three-point and four-point celestial super-amplitudes explicitly. They can be identified as the conformal correlation functions of the celestial superfields living at the celestial sphere. We further study the soft and collinear limits which give rise to the super-Ward identity and super-OPE on the celestial sphere, respectively. Our results initiate a new perspective of understanding the well-studied $$ \mathcal{N} $$ N = 4 SYM amplitudes via 2D celestial conformal field theory.

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