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 |
|---|---|---|---|---|---|---|---|---|---|
| 46533 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.6667 | 0.8151 | 0.8179 | [M:[0.9413, 1.0055, 1.1229, 0.7486], q:[0.588, 0.4707], qb:[0.4064, 0.7807], phi:[0.4385]] | [M:[[-22], [-32], [12], [8]], q:[[33], [-11]], qb:[[-1], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$ | ${}$ | -1 | t^2.246 + t^2.631 + t^2.824 + t^3.017 + t^3.369 + t^3.561 + t^3.754 + t^3.947 + t^4.106 + t^4.14 + t^4.299 + 2*t^4.492 + t^4.844 + t^4.877 + t^5.07 + 2*t^5.262 + t^5.615 + t^5.648 + t^5.841 - t^6. + t^6.033 + t^6.193 + 3*t^6.385 + 2*t^6.578 + 2*t^6.738 + 2*t^6.771 + t^6.93 + t^6.963 + t^7.09 + 2*t^7.123 + t^7.156 + 2*t^7.316 + t^7.475 + 3*t^7.508 + t^7.668 + t^7.701 + 2*t^7.86 + 3*t^7.894 + t^8.053 + 2*t^8.086 + t^8.213 - t^8.246 + 2*t^8.279 + t^8.405 + t^8.472 + t^8.598 + t^8.631 + t^8.664 - 2*t^8.824 + t^8.857 + t^8.95 + 2*t^8.983 - t^4.316/y - t^6.561/y - t^7.14/y + t^7.299/y - t^7.332/y + t^7.492/y + t^7.877/y + (2*t^8.07)/y + t^8.262/y + t^8.455/y + t^8.615/y + t^8.648/y + t^8.841/y - t^4.316*y - t^6.561*y - t^7.14*y + t^7.299*y - t^7.332*y + t^7.492*y + t^7.877*y + 2*t^8.07*y + t^8.262*y + t^8.455*y + t^8.615*y + t^8.648*y + t^8.841*y | g1^8*t^2.246 + t^2.631/g1^12 + t^2.824/g1^22 + t^3.017/g1^32 + g1^12*t^3.369 + g1^2*t^3.561 + t^3.754/g1^8 + t^3.947/g1^18 + g1^36*t^4.106 + t^4.14/g1^28 + g1^26*t^4.299 + 2*g1^16*t^4.492 + g1^60*t^4.844 + t^4.877/g1^4 + t^5.07/g1^14 + (2*t^5.262)/g1^24 + g1^20*t^5.615 + t^5.648/g1^44 + t^5.841/g1^54 - t^6. + t^6.033/g1^64 + t^6.193/g1^10 + (3*t^6.385)/g1^20 + (2*t^6.578)/g1^30 + 2*g1^24*t^6.738 + (2*t^6.771)/g1^40 + g1^14*t^6.93 + t^6.963/g1^50 + g1^68*t^7.09 + 2*g1^4*t^7.123 + t^7.156/g1^60 + (2*t^7.316)/g1^6 + g1^48*t^7.475 + (3*t^7.508)/g1^16 + g1^38*t^7.668 + t^7.701/g1^26 + 2*g1^28*t^7.86 + (3*t^7.894)/g1^36 + g1^18*t^8.053 + (2*t^8.086)/g1^46 + g1^72*t^8.213 - g1^8*t^8.246 + (2*t^8.279)/g1^56 + g1^62*t^8.405 + t^8.472/g1^66 + g1^52*t^8.598 + t^8.631/g1^12 + t^8.664/g1^76 - (2*t^8.824)/g1^22 + t^8.857/g1^86 + g1^96*t^8.95 + 2*g1^32*t^8.983 - t^4.316/(g1^6*y) - (g1^2*t^6.561)/y - t^7.14/(g1^28*y) + (g1^26*t^7.299)/y - t^7.332/(g1^38*y) + (g1^16*t^7.492)/y + t^7.877/(g1^4*y) + (2*t^8.07)/(g1^14*y) + t^8.262/(g1^24*y) + t^8.455/(g1^34*y) + (g1^20*t^8.615)/y + t^8.648/(g1^44*y) + t^8.841/(g1^54*y) - (t^4.316*y)/g1^6 - g1^2*t^6.561*y - (t^7.14*y)/g1^28 + g1^26*t^7.299*y - (t^7.332*y)/g1^38 + g1^16*t^7.492*y + (t^7.877*y)/g1^4 + (2*t^8.07*y)/g1^14 + (t^8.262*y)/g1^24 + (t^8.455*y)/g1^34 + g1^20*t^8.615*y + (t^8.648*y)/g1^44 + (t^8.841*y)/g1^54 |
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 |
|---|---|---|---|---|---|---|---|---|
| 49457 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ | 0.6658 | 0.8139 | 0.818 | [M:[0.963, 1.037, 1.1111, 0.7407], q:[0.5556, 0.4815], qb:[0.4074, 0.7778], phi:[0.4444]] | t^2.222 + t^2.667 + t^2.889 + t^3.111 + t^3.333 + t^3.556 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + t^4.667 + t^4.889 + t^5.111 + 2*t^5.333 + t^5.556 + t^5.778 - t^4.333/y - t^4.333*y | detail | {a: 1456/2187, c: 1780/2187, M1: 26/27, M2: 28/27, M3: 10/9, M4: 20/27, q1: 5/9, q2: 13/27, qb1: 11/27, qb2: 7/9, phi1: 4/9} |
| 47044 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ | 0.6598 | 0.8076 | 0.8171 | [M:[1.0, 1.0909, 1.0909, 0.7273], q:[0.5, 0.5], qb:[0.4091, 0.7727], phi:[0.4545]] | t^2.182 + t^2.727 + t^3. + 2*t^3.273 + t^3.545 + 2*t^3.818 + 2*t^4.091 + 4*t^4.364 + t^4.909 + t^5.182 + 3*t^5.455 - t^4.364/y - t^4.364*y | detail | {a: 3513/5324, c: 8599/10648, M1: 1, M2: 12/11, M3: 12/11, M4: 8/11, q1: 1/2, q2: 1/2, qb1: 9/22, qb2: 17/22, phi1: 5/11} |
| 48285 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.6858 | 0.8499 | 0.8069 | [M:[0.945, 1.011, 1.1209, 0.7473, 0.7473], q:[0.5825, 0.4725], qb:[0.4066, 0.7802], phi:[0.4396]] | 2*t^2.242 + t^2.637 + t^2.835 + t^3.033 + t^3.363 + t^3.56 + t^3.956 + t^4.088 + t^4.154 + t^4.286 + 4*t^4.484 + t^4.813 + 2*t^4.879 + 2*t^5.077 + 3*t^5.275 + 2*t^5.604 + t^5.67 + t^5.802 + t^5.868 - 2*t^6. - t^4.319/y - t^4.319*y | detail | |
| 48185 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6824 | 0.8425 | 0.8099 | [M:[0.9398, 1.0033, 1.1237, 0.7492, 0.8127], q:[0.5903, 0.4699], qb:[0.4064, 0.7809], phi:[0.4381]] | t^2.247 + t^2.438 + t^2.629 + t^2.819 + t^3.01 + t^3.371 + t^3.753 + t^3.943 + t^4.114 + t^4.134 + t^4.304 + 2*t^4.495 + t^4.686 + t^4.856 + 2*t^4.876 + 2*t^5.067 + 3*t^5.258 + t^5.448 + t^5.619 + t^5.639 + t^5.829 - t^6. - t^4.314/y - t^4.314*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46136 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6704 | 0.8232 | 0.8144 | [M:[0.9809, 0.9756, 1.1208, 0.6759], q:[0.5821, 0.437], qb:[0.4423, 0.7802], phi:[0.4396]] | t^2.028 + t^2.638 + t^2.927 + t^2.943 + t^3.362 + t^3.651 + t^3.667 + t^3.941 + t^3.957 + t^4.055 + t^4.087 + t^4.376 + t^4.392 + t^4.665 + t^4.811 + t^4.954 + t^4.97 + t^5.275 + t^5.39 + t^5.679 + t^5.695 + t^5.854 + t^5.87 + t^5.886 + t^5.968 - 2*t^6. - t^4.319/y - t^4.319*y | detail |