Super 0-brane and GS superstring actions on AdS2 × S2

Abstract

The super 0-brane and GS superstring actions on AdS 2 × S 2 background with 2-form flux are constructed by supercoset approach. We find the super 0-brane action contains two parameters which are interpreted as the electric and magnetic charges of the super 0-brane. The obtained super 0-brane action describes the BPS saturated dyonic superparticle moving on AdS 2 × S 2 background. The WZ action contains the required coupling with 2-form flux. For GS superstring, we find the string action on AdS 2 × S 2 takes the same form as those in AdS 3 × S 3 and AdS 5 × S 5 with RR field background.

SU(1, 1|N) superconformal mechanics with fermionic gauge symmetry

“…It is demonstrated that the background field configuration associated with the superparticle satisfies the Einstein-Maxwell equations and is linked to the near horizon black hole geometries. In particular, the instance of N = 2 reproduces the κ-symmetric super 0-brane propagating in the near horizon region of the extreme ReissnerNordström black hole [25]. Concluding section 4 contains the summary and the outlook.…”

“…For N = 2 it reproduces a super 0-brane model [25,34]. Let us discuss the issue of the κ-symmetry for N > 2.…”

“…Note that the case of N = 2 reveals a subtlety. For N = 2 the matrices T ± mn in (3.22) are vanishing and there exists a solution with two gauge parameters which yields the conventional κ-symmetry (see [25,34]). …”

“…Motivated by this proposal a plenty of SU(1, 1|2) superconformal one-dimensional systems and their D(2, 1; α) extensions have been constructed [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. A related line of research concerns the study of superconformal particles propagating on near horizon black hole backgrounds [25][26][27][28][29][30][31][32][33][34].…”

“…There are several competing approaches to the construction of superconformal mechanics: the superfield approach [10,14,[16][17][18][19][20][21][22]35], the method of nonlinear realizations [5,9,25,34], and the canonical formalism (e.g. [29,37,45]).…”