String Gauge Symmetries in the Light-Front Polyakov D1 Brane Action

Abstract

We investigate the question of string gauge symmetries for the conformally gauge-fixed light-front Polyakov D1 brane action in the presence of background gauge fields.

String Gauge Symmetries in the Conformally Gauge-Fixed Polyakov D1 Brane Action in the Presence of Background Gauge Fields

“…Recently we have shown [13] that this NSNS 2-form gauge field behaves like a Wess-Zumino (WZ) field and the term involving this field behaves like a WZ term for the CGFPD1BA [13]. We have also studied the Hamiltonian [20] and path integral [21][22][23][24][25] formulations of the CGFPD1BA with and without a scalar dilaton field in the IF [12] as well as in the LF [13][14][15][16][17][18][19] dynamics. In both the above cases the theory is seen (as expected) to be gaugenoninvariant (GNI), possessing a set of second-class constraints in each case, owing to the conformal gaugefixing [1][2][3][4][5][6][7][8][12][13][14][15][16][17][18][19] of the theory.…”

“…Study of D-brane actions [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] is a domain of wider interest in string theories. Polyakov action does not involve any square root and is in particular, simpler to study.…”

“…Recently, we have studied IFQ of this action [12] for the D1 brane in the conformal gauge (CG), using the Hamiltonian [20] and path integral [21][22][23][24][25] formulations in the instant-form (IF) of dynamics (on the hyperplanes defined by the world-sheet (WS) time ) [26,27]. We have also studied its LFQ [13][14][15][16][17][18][19] [13][14][15][16][17][18][19][26][27][28][29][30][31][32]. The LF theory [13][14][15][16][17][18][19] is seen to be a constrained system in the sense of Dirac [20], which is in contrast to the corresponding IF theory [12], where the theory remains unconstrained in the sense of Dirac.…”

“…We have also studied its LFQ [13][14][15][16][17][18][19] [13][14][15][16][17][18][19][26][27][28][29][30][31][32]. The LF theory [13][14][15][16][17][18][19] is seen to be a constrained system in the sense of Dirac [20], which is in contrast to the corresponding IF theory [12], where the theory remains unconstrained in the sense of Dirac. The LF theory is seen to possess a set of twenty six second-class contraints [13][14][15][16][17][18][19].…”

“…The LF theory [13][14][15][16][17][18][19] is seen to be a constrained system in the sense of Dirac [20], which is in contrast to the corresponding IF theory [12], where the theory remains unconstrained in the sense of Dirac. The LF theory is seen to possess a set of twenty six second-class contraints [13][14][15][16][17][18][19]. Further, the conformally gauge-fixed Polyakov D1 brane action (CGFPD1BA) describing a gauge-noninvariant (GNI) theory (being a gauge-fixed theory) is seen to describe a gauge-invariant (GI) theory in the presence of an antisymmetric NSNS 2-form gauge field   , B  [13].…”