<｜begin▁of▁sentence｜>### Instruction:
As a researcher in network analysis at a civil engineering firm, you have been tasked with using the spectral function in the cdlib library to analyze the collaborations within the Condensed matter community in 2005. The firm is interested in identifying two distinct research communities within the graph to better understand the collaboration dynamics in that field. Once you have performed the community detection, they are also interested in having the results converted and printed into a JSON format for further analysis and visualization. The graph data is stored in a gml file named 'cond-mat-2005.gml'.
### Response:
import networkx as nx
from cdlib import algorithms

# Load a graph from a gml file
g = nx.read_gml('cond-mat-2005.gml')

# Apply spectral clustering for community detection
# Here, we set kmax to 2 to get two communities as an example
communities = algorithms.spectral(g, kmax=2)

# Convert the clustering to JSON representation
clustering_json = communities.to_json()

print(clustering_json)
<|EOT|>
