IPv6 does not use ARP, it uses ND. ARP uses broadcast, which interrupts every host on the LAN, but IPv6 doesn't have broadcast. Instead, each IPv6 interface must subscribe to a solicited-node multicast address for each IPv6 unicast or anycast address configured on the interface. These solicited-node multicast addresses are based on the IPv6 unicast or anycast addresses, so, in all likelihood, the resolution request only interrupts the one host with that IPv6 address, or possibly a very few hosts. This is a better solution than ARP.
See RFC 4291, IP Version 6 Addressing Architecture, Section 2.7.1. Pre-Defined Multicast Addresses:
Solicited-Node multicast address are computed as a function of a
node's unicast and anycast addresses. A Solicited-Node multicast
address is formed by taking the low-order 24 bits of an address
(unicast or anycast) and appending those bits to the prefix
FF02:0:0:0:0:1:FF00::/104 resulting in a multicast address in the
range
FF02:0:0:0:0:1:FF00:0000
to
FF02:0:0:0:0:1:FFFF:FFFF
For example, the Solicited-Node multicast address corresponding to
the IPv6 address 4037::01:800:200E:8C6C is FF02::1:FF0E:8C6C. IPv6
addresses that differ only in the high-order bits (e.g., due to
multiple high-order prefixes associated with different aggregations)
will map to the same Solicited-Node address, thereby reducing the
number of multicast addresses a node must join.
A node is required to compute and join (on the appropriate
interface) the associated Solicited-Node multicast addresses for
all unicast and anycast addresses that have been configured for the
node's interfaces (manually or automatically).
IPv6 uses the solicited node multicast address for the IPv6 layer-3 unicast or anycast address which it wants to resolve to the layer-2 address. A host will compute the solicited node multicast address for the address to resolve, and it will multicast a Neighbor Solicitation message to the multicast group. The host with the layer-3 address will reply with its layer-2 address.
See RFC 4861, Neighbor Discovery for IP version 6 (IPv6):
Nodes accomplish address resolution by multicasting a Neighbor
Solicitation that asks the target node to return its link-layer
address. Neighbor Solicitation messages are multicast to the
solicited-node multicast address of the target address. The target
returns its link-layer address in a unicast Neighbor Advertisement
message. A single request-response pair of packets is sufficient for
both the initiator and the target to resolve each other's link-layer
addresses; the initiator includes its link-layer address in the
Neighbor Solicitation.
To create an IPv6 layer-2 multicast address from an IPv6 layer-3 multicast address you simply use 33-33
and append the last 32-bits of the IPv6 layer-3 multicast address. This gives you a lot more layer-2 multicast addresses than IPv4 has because IPv4 only uses 23 bits of the layer-3 multicast address in the layer-2 multicast address.
See RFC 2464, Transmission of IPv6 Packets over Ethernet Networks:
- Address Mapping -- Multicast
An IPv6 packet with a multicast destination address DST, consisting
of the sixteen octets DST1 through DST[16], is transmitted to the
Ethernet multicast address whose first two octets are the value 3333
hexadecimal and whose last four octets are the last four octets of
DST.
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|0 0 1 1 0 0 1 1|0 0 1 1 0 0 1 1|
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| DST[13] | DST[14] |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| DST[15] | DST[16] |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
Also, RFC 7042, IANA Considerations and IETF Protocol and Documentation Usage for IEEE 802 Parameters, Section 2.3.1. Identifiers Prefixed "33-33":
2.3.1. Identifiers Prefixed "33-33"
All MAC-48 multicast identifiers prefixed "33-33" (that is, the 2**32
multicast MAC identifiers in the range from 33-33-00-00-00-00 to
33-33-FF-FF-FF-FF) are used as specified in [RFC2464] for IPv6
multicast. In all of these identifiers, the Group bit (the bottom bit
of the first octet) is on, as is required to work properly with
existing hardware as a multicast identifier. They also have the Local
bit on and are used for this purpose in IPv6 networks.
(Historical note: It was the custom during IPv6 design to use "3" for
unknown or example values, and 3333 Coyote Hill Road, Palo Alto,
California, is the address of PARC (Palo Alto Research Center,
formerly "Xerox PARC"). Ethernet was originally specified by the
Digital Equipment Corporation, Intel Corporation, and Xerox
Corporation. The pre-IEEE [802.3] Ethernet protocol has sometimes
been known as "DIX" Ethernet from the first letters of the names of
these companies.)