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 |
|---|---|---|---|---|---|---|---|---|---|
| 47248 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6514 | 0.8126 | 0.8016 | [M:[0.841, 1.2103, 0.7897, 0.7897, 0.8924], q:[0.7384, 0.4205], qb:[0.3692, 0.7897], phi:[0.4205]] | [M:[[-4], [-1], [1], [1], [-9]], q:[[6], [-2]], qb:[[3], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 2 | 2*t^2.369 + 2*t^2.523 + t^2.677 + 2*t^3.477 + t^3.631 + t^3.785 + 2*t^4.584 + 4*t^4.738 + 3*t^4.892 + 4*t^5.046 + 2*t^5.2 + t^5.354 + t^5.692 + 3*t^5.846 + 2*t^6. + 2*t^6.154 + 2*t^6.308 + t^6.462 + 3*t^6.954 + 5*t^7.108 + 5*t^7.262 + 6*t^7.416 + 7*t^7.569 + 4*t^7.723 + 2*t^7.877 + t^8.031 + 3*t^8.061 + 4*t^8.215 - t^8.369 + t^8.523 + 2*t^8.831 + 2*t^8.985 - t^4.262/y - t^6.631/y - (2*t^6.785)/y - t^6.939/y + t^7.584/y + (3*t^7.738)/y + (5*t^7.892)/y + (3*t^8.046)/y + (2*t^8.2)/y + (4*t^8.846)/y - t^4.262*y - t^6.631*y - 2*t^6.785*y - t^6.939*y + t^7.584*y + 3*t^7.738*y + 5*t^7.892*y + 3*t^8.046*y + 2*t^8.2*y + 4*t^8.846*y | 2*g1*t^2.369 + (2*t^2.523)/g1^4 + t^2.677/g1^9 + 2*g1^4*t^3.477 + t^3.631/g1 + t^3.785/g1^6 + 2*g1^7*t^4.584 + 4*g1^2*t^4.738 + (3*t^4.892)/g1^3 + (4*t^5.046)/g1^8 + (2*t^5.2)/g1^13 + t^5.354/g1^18 + g1^10*t^5.692 + 3*g1^5*t^5.846 + 2*t^6. + (2*t^6.154)/g1^5 + (2*t^6.308)/g1^10 + t^6.462/g1^15 + 3*g1^8*t^6.954 + 5*g1^3*t^7.108 + (5*t^7.262)/g1^2 + (6*t^7.416)/g1^7 + (7*t^7.569)/g1^12 + (4*t^7.723)/g1^17 + (2*t^7.877)/g1^22 + t^8.031/g1^27 + 3*g1^11*t^8.061 + 4*g1^6*t^8.215 - g1*t^8.369 + t^8.523/g1^4 + (2*t^8.831)/g1^14 + (2*t^8.985)/g1^19 - t^4.262/(g1^2*y) - t^6.631/(g1*y) - (2*t^6.785)/(g1^6*y) - t^6.939/(g1^11*y) + (g1^7*t^7.584)/y + (3*g1^2*t^7.738)/y + (5*t^7.892)/(g1^3*y) + (3*t^8.046)/(g1^8*y) + (2*t^8.2)/(g1^13*y) + (4*g1^5*t^8.846)/y - (t^4.262*y)/g1^2 - (t^6.631*y)/g1 - (2*t^6.785*y)/g1^6 - (t^6.939*y)/g1^11 + g1^7*t^7.584*y + 3*g1^2*t^7.738*y + (5*t^7.892*y)/g1^3 + (3*t^8.046*y)/g1^8 + (2*t^8.2*y)/g1^13 + 4*g1^5*t^8.846*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 |
|---|---|---|---|---|---|---|---|---|
| 50838 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.6332 | 0.7918 | 0.7996 | [M:[0.9231, 1.2308, 0.7692, 0.7692, 1.0769], q:[0.6154, 0.4615], qb:[0.3077, 0.7692], phi:[0.4615]] | 2*t^2.308 + 2*t^2.769 + 3*t^3.231 + t^3.692 + 3*t^4.154 + 4*t^4.615 + 4*t^5.077 + 7*t^5.538 + 4*t^6. - t^4.385/y - t^4.385*y | detail | {a: 22257/35152, c: 13917/17576, M1: 12/13, M2: 16/13, M3: 10/13, M4: 10/13, M5: 14/13, q1: 8/13, q2: 6/13, qb1: 4/13, qb2: 10/13, phi1: 6/13} |
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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46731 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ | 0.6453 | 0.804 | 0.8026 | [M:[0.8793, 1.2198, 0.7802, 0.7802], q:[0.681, 0.4397], qb:[0.3405, 0.7802], phi:[0.4397]] | 2*t^2.34 + 2*t^2.638 + t^3.064 + 2*t^3.362 + t^3.66 + t^3.957 + 2*t^4.383 + 4*t^4.681 + 3*t^4.979 + 2*t^5.276 + 3*t^5.405 + 5*t^5.702 + 2*t^6. - t^4.319/y - t^4.319*y | detail |