Solution to worldvolume action of D3 brane in pp-wave background
We find nonsupersymmetric and supersymmetric solutions of D3 brane configuration in the background of pp wave obtained as a Penrose limit of $AdS_5\times S^5$.
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Publications and source records attributed to Shesansu Sekhar Pal.
We find nonsupersymmetric and supersymmetric solutions of D3 brane configuration in the background of pp wave obtained as a Penrose limit of $AdS_5\times S^5$.
We calculate the correction to the Bekenstein-Hawking entropy formula for five dimensional AdS-Schwarzschild black holes due to thermodynamic fluctuations. The result is then compared with the boundary gauge theory entropy corrections via AdS/CFT correspondence. We then further generalise our analysis for the rotating black hole in five dimensional AdS space.
We show that the higher order derivative $α^{'}$ corrections to the DBI and Chern-Simon action is derived from non-commutativity in the Seiberg-Witten limit, and is shown to agree with Wyllard's (hep-th/0008125) result, as conjectured by Das et al., (hep-th/0106024). In calculating the corrections, we have expressed $\hat F$ in terms F, $\hat A$ in terms of A up to order ${\cal O}(A^3)$, and made use of it.
The noncommutative string theory is described by embedding open string theory in a constant second rank antisymmetric $B_{μν}$ field and the noncommutative gauge theory is defined by a deformed $\star$ product. As a check, study of various scattering amplitudes in both noncommutative string and noncommutative gauge theory confirm that in the $α^{'}\to 0$ limit, the noncommutative string theoretic amplitude goes over to the noncommutative gauge theoretic amplitude, and the couplings are related as $g_{YM}=G_0\sqrt{\frac{1}{2α^{'}}}$. Furthermore we show that in this limit there will not be any correction to the gauge theoretic action because of absence of massive modes. We get sin/cos factors in the scattering amplitudes depending on the odd/even number of external photons.