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 |
---|---|---|---|---|---|---|---|---|---|
2906 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ | 0.5384 | 0.6891 | 0.7813 | [M:[1.0588, 0.8235, 1.0588, 1.1765, 0.8235], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 42321/78608, c: 27085/39304, M1: 18/17, M2: 14/17, M3: 18/17, M4: 20/17, M5: 14/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0 | t^2.118 + 3*t^2.471 + 2*t^3.176 + t^3.529 + 2*t^3.882 + 2*t^4.235 + 3*t^4.588 + 6*t^4.941 + 3*t^5.294 + 4*t^5.647 + 6*t^6.353 + 4*t^6.706 + 5*t^7.059 + 10*t^7.412 + 5*t^7.765 + 5*t^8.118 + 7*t^8.824 - t^4.412/y - t^6.882/y + t^7.235/y + (2*t^7.588)/y + (4*t^7.941)/y + (2*t^8.294)/y + (7*t^8.647)/y - t^4.412*y - t^6.882*y + t^7.235*y + 2*t^7.588*y + 4*t^7.941*y + 2*t^8.294*y + 7*t^8.647*y | t^2.118 + 3*t^2.471 + 2*t^3.176 + t^3.529 + 2*t^3.882 + 2*t^4.235 + 3*t^4.588 + 6*t^4.941 + 3*t^5.294 + 4*t^5.647 + 6*t^6.353 + 4*t^6.706 + 5*t^7.059 + 10*t^7.412 + 5*t^7.765 + 5*t^8.118 + 7*t^8.824 - t^4.412/y - t^6.882/y + t^7.235/y + (2*t^7.588)/y + (4*t^7.941)/y + (2*t^8.294)/y + (7*t^8.647)/y - t^4.412*y - t^6.882*y + t^7.235*y + 2*t^7.588*y + 4*t^7.941*y + 2*t^8.294*y + 7*t^8.647*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 |
---|---|---|---|---|---|---|---|---|
3494 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{4}M_{6}$ | 0.5534 | 0.7151 | 0.7738 | [M:[1.0588, 0.8235, 1.0588, 1.1765, 0.8235, 0.8235], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | t^2.118 + 4*t^2.471 + 2*t^3.176 + 2*t^3.882 + 2*t^4.235 + 4*t^4.588 + 10*t^4.941 + 3*t^5.294 + 5*t^5.647 - 3*t^6. - t^4.412/y - t^4.412*y | detail | {a: 10875/19652, c: 7027/9826, M1: 18/17, M2: 14/17, M3: 18/17, M4: 20/17, M5: 14/17, M6: 14/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
1886 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.6188 | 0.8048 | 0.7688 | [M:[0.9605, 1.1186, 0.9605, 0.8814, 0.7006], q:[0.7401, 0.2994], qb:[0.4802, 0.4012], phi:[0.5198]] | 2*t^2.102 + t^2.339 + t^2.644 + 2*t^2.881 + t^3.356 + t^3.424 + 2*t^3.661 + t^3.966 + 4*t^4.204 + 3*t^4.441 + t^4.678 + 2*t^4.746 + 5*t^4.983 + 2*t^5.22 + t^5.289 + t^5.457 + 4*t^5.526 + 6*t^5.763 - t^6. - t^4.559/y - t^4.559*y | detail |