Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Electric/Magnetic Field Deformed Giant Gravitons in Melvin Geometry   The rotating D3-brane in the $AdS_5 \times S^5$ spacetime could be blowed up
to the spherical BPS configuration which has the same energy and quantum number
of the point-like graviton and is called as a giant graviton. The configuration
is stable only if its angular momentum was less than a critical value of $P_c$.
In this paper we investigate the properties of the giant graviton in the
electric/magnetic Melvin geometries of deformed $AdS_5 \times S^5$ spacetime
which was obtained in our previous paper (hep-th/0512117, Phys. Rev. D73 (2006)
026007). We find that in the magnetic Melvin spacetime the giant graviton has
lower energy than the point-like graviton. Also, the critical value of the
angular momentum is an increasing function of the magnetic field flux $B$. In
particular, it is seen that while increasing the angular momentum the radius of
giant graviton is initially an increasing function, then, after it reach its
maximum value it becomes a decreasing function of the angular momentum. During
these regions the giant graviton is still a stable configuration, contrast to
that in the undeformed theory. Finally, beyond the critical value of angular
momentum the giant graviton has higher energy than the point-like graviton and
it eventually becomes unstable. Our analyses show that the electric Melvin
field will always render the giant graviton unstable.

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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an