Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
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1923 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.5625 | 0.6964 | 0.8077 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286], q:[0.2857, 0.7143], qb:[0.4286, 0.8571], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 9/16, c: 39/56, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, q1: 2/7, q2: 5/7, qb1: 3/7, qb2: 6/7, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$ | ${}\phi_{1}^{2}q_{1}^{4}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 3 | t^2.143 + t^2.571 + 2*t^3. + 3*t^3.429 + 2*t^3.857 + t^4.286 + 2*t^4.714 + 3*t^5.143 + 3*t^5.571 + 3*t^6. + 5*t^6.429 + 5*t^6.857 + 4*t^7.286 + 5*t^7.714 + 2*t^8.143 + 3*t^8.571 - t^4.286/y - t^6.857/y + (2*t^7.714)/y + (2*t^8.143)/y + (5*t^8.571)/y - t^4.286*y - t^6.857*y + 2*t^7.714*y + 2*t^8.143*y + 5*t^8.571*y | t^2.143 + t^2.571 + 2*t^3. + 3*t^3.429 + 2*t^3.857 + t^4.286 + 2*t^4.714 + 3*t^5.143 + 3*t^5.571 + 3*t^6. + 5*t^6.429 + 5*t^6.857 + 4*t^7.286 + 5*t^7.714 + 2*t^8.143 + 3*t^8.571 - t^4.286/y - t^6.857/y + (2*t^7.714)/y + (2*t^8.143)/y + (5*t^8.571)/y - t^4.286*y - t^6.857*y + 2*t^7.714*y + 2*t^8.143*y + 5*t^8.571*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
576 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.7027 | 0.862 | 0.8151 | [M:[1.0, 0.9336, 1.0664, 0.8673], q:[0.4502, 0.5498], qb:[0.4834, 0.583], phi:[0.4834]] | t^2.602 + t^2.801 + t^2.9 + t^3. + 2*t^3.1 + t^3.199 + t^4.152 + t^4.251 + t^4.351 + t^4.45 + 2*t^4.55 + t^4.649 + t^4.749 + t^4.848 + t^4.948 + t^5.204 + t^5.403 + t^5.502 + t^5.602 + t^5.701 + 2*t^5.801 + t^5.9 - t^4.45/y - t^4.45*y | detail |