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1. Technically, you are right.
2. Unfortunately, I am your boss.
In the above sentences , are "technically" and "Unfortunately" normal adverbs or do they have some special significance when they come at the beginning of the sentence like dangling modifiers ?
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Hi,

They are normal adverbs, but placing them at the start adds quite a lot of emphasis to them.

Clive
But what does "unfortunately" modify ?
It does not modify "boss" , so it must modify "am".
But can adverbs modify stative verbs ?
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Hi,

Think of it as modifying the group of words that form the statement.

The fact that 'I am your boss' is unfortunate.

Clive
What about a sentence like " I am commercially the most successful actor" where the adverb "commercially" is placed neither at the beginning nor before the adjective phrase ?
What does it modify ?
Debpriya De1. Technically, you are right.

2. Unfortunately, I am your boss.
In the above sentences , are "technically" and "Unfortunately" normal adverbs or do they have some special significance when they come at the beginning of the sentence like dangling modifiers ?

'Unfortunately' is a content disjunct. According to the Quirkian taxonomic sytem of adverbials, 'disjunct' is one of the four main types of adverbs, the other three being adjunct, subjunct, conjunct.
'Content' comes from the fact that such adverbials comment on the content of the utterance, in our case on this: "I am your boss." 'Unfortunately' is related to evaluation, i.e., it expresses an attitude to "I am your boss," by way of evaluation. 'Unfortunately' relates to the whole of the main clause.

'Technically' is a viewpoint subjunct IMO. It is concerned with the semantic concept of respect: from the point of view of the letter of the rule (rather than the point of view of its spirit)...
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Debpriya DeBut what does "unfortunately" modify ?
It's a sentential adverb, so it modifies the whole sentence.

CJ
My interpreation
Debpriya De1. Technically, you are right. = from a technical point of view, you are completely correct. (BUT)

2. Unfortunately, I am your boss. = Even though you are right, I am still your boss (who makes the decision)