Scattering and absorption invariance of nonmagnetic particles under duality transformations

We study the target space duality transformations in p-branes as transformations which mix the world volume field equations with Bianchi identities. We consider an (m+p+1)-dimensional space-time with p+1 dimensions compactified, and a particular form of the background fields. We find that while a GL (2) = SL (2) × R group is realized when m = 0, only a two-parameter group is realized when m > 0.

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CONSTRAINED DYNAMICS OF THE COUPLED ABELIAN TWO-FORM

Modern Physics Letters A ◽

10.1142/s021773239300369x ◽

1993 ◽

Vol 08 (25) ◽

pp. 2403-2412 ◽

Cited By ~ 27

Author(s):

AMITABHA LAHIRI

Keyword(s):

Phase Space ◽

Gauge Field ◽

Antisymmetric Tensor ◽

Abelian Gauge ◽

Constrained Dynamics ◽

Duality Transformations ◽

Tensor Potential

I present the reduction of phase space of the theory of an antisymmetric tensor potential coupled to an Abelian gauge field, using Dirac's procedure. Duality transformations on the reduced phase space are also discussed.

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HETEROTIC T-DUALITY AND THE RENORMALIZATION GROUP

International Journal of Modern Physics A ◽

10.1142/s0217751x99001135 ◽

1999 ◽

Vol 14 (14) ◽

pp. 2257-2271 ◽

Cited By ~ 3

Author(s):

KASPER OLSEN ◽

RICARDO SCHIAPPA

Keyword(s):

Renormalization Group ◽

Sigma Models ◽

Sigma Model ◽

Beta Function ◽

Target Space ◽

Loop Order ◽

Duality Transformations ◽

Duality Symmetry ◽

The One ◽

Renormalization Group Flows

We consider target space duality transformations for heterotic sigma models and strings away from renormalization group fixed points. By imposing certain consistency requirements between the T-duality symmetry and renormalization group flows, the one-loop gauge beta function is uniquely determined, without any diagram calculations. Classical T-duality symmetry is a valid quantum symmetry of the heterotic sigma model, severely constraining its renormalization flows at this one-loop order. The issue of heterotic anomalies and their cancellation is addressed from this duality constraining viewpoint.

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Electromagnetic duality transformations in supersymmetric field theories

Letters in Mathematical Physics ◽

10.1007/bf01872780 ◽

1995 ◽

Vol 34 (3) ◽

pp. 255-274

Author(s):

S. Ferrara

Keyword(s):

Field Theories ◽

Duality Transformations ◽

Supersymmetric Field Theories

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Duality Transformations for Two-Dimensional Directed Percolation and Resistance Problems

Physical Review Letters ◽

10.1103/physrevlett.47.1238 ◽

1981 ◽

Vol 47 (18) ◽

pp. 1238-1241 ◽

Cited By ~ 33

Author(s):

Deepak Dhar ◽

Mustansir Barma ◽

Mohan K. Phani

Keyword(s):

Directed Percolation ◽

Two Dimensional ◽

Duality Transformations

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Effective action of bosonic string theory at order $$\alpha '^2$$

The European Physical Journal C ◽

10.1140/epjc/s10052-019-7357-4 ◽

2019 ◽

Vol 79 (10) ◽

Cited By ~ 4

Author(s):

Mohammad R. Garousi

Keyword(s):

String Theory ◽

Effective Action ◽

Gauge Invariance ◽

Bosonic String ◽

Duality Transformations ◽

S Matrix ◽

Minimum Number ◽

Bosonic String Theory

Abstract Recently, it has been shown that the gauge invariance requires the minimum number of independent couplings for B-field, metric and dilaton at order $$\alpha '^2$$α′2 to be 60. In this paper we fix the corresponding 60 parameters in string theory by requiring the couplings to be invariant under the global T-duality transformations. The Riemann cubed terms are exactly the same as the couplings that have been found by the S-matrix calculations.

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Spectra of elliptic potentials and supersymmetric gauge theories

Journal of High Energy Physics ◽

10.1007/jhep08(2020)070 ◽

2020 ◽

Vol 2020 (8) ◽

Author(s):

Wei He

Keyword(s):

Gauge Theory ◽

Strong Coupling ◽

Moduli Space ◽

Gauge Theories ◽

Duality Transformations ◽

Spectral Solution ◽

Supersymmetric Gauge ◽

Strong Coupling Expansions ◽

Surface Operator ◽

Function Potential

Abstract We study a relation between asymptotic spectra of the quantum mechanics problem with a four components elliptic function potential, the Darboux-Treibich-Verdier (DTV) potential, and the Omega background deformed N=2 supersymmetric SU(2) QCD models with four massive flavors in the Nekrasov-Shatashvili limit. The weak coupling spectral solution of the DTV potential is related to the instanton partition function of supersymmetric QCD with surface operator. There are two strong coupling spectral solutions of the DTV potential, they are related to the strong coupling expansions of gauge theory prepotential at the magnetic and dyonic points in the moduli space. A set of duality transformations relate the two strong coupling expansions for spectral solution, and for gauge theory prepotential.

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