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 |
|---|---|---|---|---|---|---|---|---|---|
| 4407 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{8}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6364 | 0.7932 | 0.8023 | [M:[0.6974, 1.048, 1.2067, 1.1107, 0.7933, 0.8893, 1.0147, 1.1107], q:[0.5406, 0.762], qb:[0.3487, 0.4447], phi:[0.476]] | [M:[[-34], [12], [10], [-14], [-10], [14], [-38], [-14]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{8}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.092 + t^2.38 + t^3.044 + t^3.144 + 2*t^3.332 + t^3.52 + t^3.62 + t^3.808 + 2*t^4.096 + t^4.184 + t^4.384 + t^4.472 + t^4.672 + t^4.76 + t^5.136 + t^5.236 + 2*t^5.424 + t^5.524 + t^5.612 + t^5.712 + 2*t^5.9 - 2*t^6. + t^6.088 + 3*t^6.188 + t^6.277 - 2*t^6.288 + 2*t^6.376 + 3*t^6.476 + 2*t^6.564 - t^6.576 + 3*t^6.664 + t^6.764 + 3*t^6.852 + t^6.952 + t^7.04 + 3*t^7.14 + t^7.229 + 2*t^7.328 + 2*t^7.428 + 2*t^7.516 + 3*t^7.616 + t^7.705 + t^7.716 + t^7.804 + 2*t^7.904 + 2*t^7.992 - 2*t^8.092 + t^8.181 + 2*t^8.192 + 4*t^8.28 + t^8.369 - 4*t^8.38 + 2*t^8.468 + t^8.48 + 3*t^8.568 + 2*t^8.657 - 3*t^8.668 + 2*t^8.756 + 2*t^8.768 + t^8.856 + 3*t^8.944 - t^8.956 - t^4.428/y - t^6.52/y + t^7.096/y + t^7.384/y - t^7.76/y + t^8.136/y + t^8.236/y + t^8.336/y + (3*t^8.424)/y + t^8.524/y + (3*t^8.712)/y + (2*t^8.9)/y - t^4.428*y - t^6.52*y + t^7.096*y + t^7.384*y - t^7.76*y + t^8.136*y + t^8.236*y + t^8.336*y + 3*t^8.424*y + t^8.524*y + 3*t^8.712*y + 2*t^8.9*y | t^2.092/g1^34 + t^2.38/g1^10 + t^3.044/g1^38 + g1^12*t^3.144 + (2*t^3.332)/g1^14 + t^3.52/g1^40 + g1^10*t^3.62 + t^3.808/g1^16 + 2*g1^8*t^4.096 + t^4.184/g1^68 + g1^32*t^4.384 + t^4.472/g1^44 + g1^56*t^4.672 + t^4.76/g1^20 + t^5.136/g1^72 + t^5.236/g1^22 + (2*t^5.424)/g1^48 + g1^2*t^5.524 + t^5.612/g1^74 + t^5.712/g1^24 + (2*t^5.9)/g1^50 - 2*t^6. + t^6.088/g1^76 + (3*t^6.188)/g1^26 + t^6.277/g1^102 - 2*g1^24*t^6.288 + (2*t^6.376)/g1^52 + (3*t^6.476)/g1^2 + (2*t^6.564)/g1^78 - g1^48*t^6.576 + (3*t^6.664)/g1^28 + g1^22*t^6.764 + (3*t^6.852)/g1^54 + t^6.952/g1^4 + t^7.04/g1^80 + (3*t^7.14)/g1^30 + t^7.229/g1^106 + (2*t^7.328)/g1^56 + (2*t^7.428)/g1^6 + (2*t^7.516)/g1^82 + (3*t^7.616)/g1^32 + t^7.705/g1^108 + g1^18*t^7.716 + t^7.804/g1^58 + (2*t^7.904)/g1^8 + (2*t^7.992)/g1^84 - (2*t^8.092)/g1^34 + t^8.181/g1^110 + 2*g1^16*t^8.192 + (4*t^8.28)/g1^60 + t^8.369/g1^136 - (4*t^8.38)/g1^10 + (2*t^8.468)/g1^86 + g1^40*t^8.48 + (3*t^8.568)/g1^36 + (2*t^8.657)/g1^112 - 3*g1^14*t^8.668 + (2*t^8.756)/g1^62 + 2*g1^64*t^8.768 + t^8.856/g1^12 + (3*t^8.944)/g1^88 - g1^38*t^8.956 - t^4.428/(g1^6*y) - t^6.52/(g1^40*y) + (g1^8*t^7.096)/y + (g1^32*t^7.384)/y - t^7.76/(g1^20*y) + t^8.136/(g1^72*y) + t^8.236/(g1^22*y) + (g1^28*t^8.336)/y + (3*t^8.424)/(g1^48*y) + (g1^2*t^8.524)/y + (3*t^8.712)/(g1^24*y) + (2*t^8.9)/(g1^50*y) - (t^4.428*y)/g1^6 - (t^6.52*y)/g1^40 + g1^8*t^7.096*y + g1^32*t^7.384*y - (t^7.76*y)/g1^20 + (t^8.136*y)/g1^72 + (t^8.236*y)/g1^22 + g1^28*t^8.336*y + (3*t^8.424*y)/g1^48 + g1^2*t^8.524*y + (3*t^8.712*y)/g1^24 + (2*t^8.9*y)/g1^50 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5884 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{8}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6321 | 0.7841 | 0.8061 | [M:[0.7568, 1.027, 1.1892, 1.1351, 0.8108, 0.8649, 1.0811, 1.1351], q:[0.4865, 0.7568], qb:[0.3784, 0.4324], phi:[0.4865]] | t^2.27 + t^2.432 + t^3.081 + t^3.243 + 2*t^3.405 + t^3.568 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + t^4.703 + t^4.865 + t^5.351 + 2*t^5.514 + 2*t^5.676 + t^5.838 - t^6. - t^4.459/y - t^4.459*y | detail | {a: 256149/405224, c: 158877/202612, M1: 28/37, M2: 38/37, M3: 44/37, M4: 42/37, M5: 30/37, M6: 32/37, M7: 40/37, M8: 42/37, q1: 18/37, q2: 28/37, qb1: 14/37, qb2: 16/37, phi1: 18/37} |
| 5891 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{8}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6562 | 0.8295 | 0.791 | [M:[0.7034, 1.0459, 1.2049, 1.1132, 0.7951, 0.8868, 1.0215, 1.1132, 0.7278], q:[0.5351, 0.7615], qb:[0.3517, 0.4434], phi:[0.4771]] | t^2.11 + t^2.183 + t^2.385 + t^3.064 + t^3.138 + 2*t^3.34 + t^3.541 + t^3.615 + 2*t^4.092 + t^4.22 + t^4.294 + 2*t^4.367 + t^4.496 + t^4.569 + t^4.642 + t^4.771 + t^5.175 + 2*t^5.248 + t^5.321 + 2*t^5.45 + 3*t^5.523 + t^5.652 + 2*t^5.725 + t^5.798 + t^5.927 - 2*t^6. - t^4.431/y - t^4.431*y | detail | |
| 5889 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{8}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6523 | 0.8197 | 0.7957 | [M:[0.7255, 1.0381, 1.1984, 1.1223, 0.8016, 0.8777, 1.0462, 1.1223, 0.7935], q:[0.515, 0.7595], qb:[0.3628, 0.4389], phi:[0.481]] | t^2.177 + t^2.381 + t^2.405 + t^3.114 + t^3.138 + 2*t^3.367 + t^3.595 + t^3.848 + 2*t^4.076 + t^4.304 + t^4.353 + t^4.533 + t^4.557 + t^4.581 + t^4.761 + t^4.785 + t^4.81 + t^5.291 + t^5.315 + t^5.495 + 2*t^5.519 + 2*t^5.543 + 2*t^5.747 + t^5.772 + t^5.976 - 2*t^6. - t^4.443/y - t^4.443*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2387 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{8}$ | 0.7145 | 0.883 | 0.8091 | [M:[0.8676, 1.0507, 1.031, 0.9296, 0.969, 1.0704, 0.8281, 0.9296], q:[0.6366, 0.4958], qb:[0.4338, 0.5352], phi:[0.4746]] | t^2.484 + t^2.603 + 2*t^2.789 + t^2.907 + t^3.093 + t^3.152 + t^4.027 + t^4.213 + t^4.331 + t^4.398 + t^4.517 + 2*t^4.635 + t^4.821 + t^4.94 + t^4.969 + t^5.087 + t^5.206 + t^5.244 + 2*t^5.273 + 2*t^5.391 + t^5.51 + 3*t^5.577 + t^5.637 + t^5.696 + t^5.755 + t^5.882 + 2*t^5.941 - 3*t^6. - t^4.424/y - t^4.424*y | detail |