Abstract
We derive a precise dictionary between micro-state geometries and open string condensates for a large class of excitations of four dimensional BPS black holes realised in terms of D3-branes intersecting on a six-torus. The complete multipole expansion of the supergravity solutions at weak coupling is extracted from string amplitudes involving one massless closed string and multiple open strings insertions on disks with mixed boundary conditions.
Highlights
The best understood example is the two-charge BPS system in type IIB theory for which the whole family of micro-state geometries is known [5,6,7]
In [8], the asymptotic form of the general micro-state geometries associated to a system of D1- and D5-branes has been derived from disk amplitudes computing the emission rate of closed string states from open string condensates at the D1-D5 intersections
The micro-state geometries will be derived from disk amplitudes computing the emission rate of massless closed string states from open string condensates binding the different stacks of D3 branes
Summary
We consider four-dimensional BPS black hole solutions of type IIB supergravity consisting of D3-branes intersecting on T 6. ǪIJK characterise the triple intersections between two cycles on T 6 In terms of these functions the type IIB supergravity solution can be written as with ds2 = −e2U (dt + w)2 + e−2U dx2i +. Solutions with non-zero KI and M will be associated to condensates involving twisted open strings These excitations modify the geometry of the putative black hole in its interior while preserving the same asymptotic fall off at infinity. We remark that disks emissions add but massless closed string states interact with each other This entails non-linearity, so the resulting solution will not be the naive “superposition” of its constituents as it is obvious from (2.5). The Type IIB supergravity solution reduces to (discarding d-exact terms) ds2 = L−1/2 −dt2 + dyi2 + L1/2 This solution is generated by distributing D3-branes of type 0 in table 1 along R3. Similar solutions are found by turning on LI associated to the other three types of D3-branes in the table.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
