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 |
|---|---|---|---|---|---|---|---|---|---|
| 2022 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6516 | 0.817 | 0.7975 | [M:[0.7525, 1.0285, 1.1904, 1.1334, 0.8096, 0.8666], q:[0.4904, 0.7571], qb:[0.3762, 0.4333], phi:[0.4857]] | [M:[[-34], [12], [10], [-14], [-10], [14]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -1 | t^2.257 + t^2.429 + t^2.6 + t^2.771 + t^3.086 + t^3.4 + t^3.571 + t^3.715 + t^3.886 + 2*t^4.057 + t^4.228 + t^4.4 + t^4.515 + t^4.686 + 2*t^4.857 + 2*t^5.029 + 2*t^5.2 + t^5.343 + t^5.371 + t^5.514 + t^5.542 + t^5.685 + t^5.857 + t^5.972 - t^6. + 2*t^6.143 + 3*t^6.315 + 4*t^6.486 + 4*t^6.657 + t^6.772 + 3*t^6.828 + t^6.944 + 2*t^6.999 + 2*t^7.115 + t^7.171 + 2*t^7.286 + t^7.429 + 2*t^7.457 + 2*t^7.6 + 2*t^7.628 + 3*t^7.772 + 2*t^7.8 + 3*t^7.943 + 2*t^7.971 - t^8.086 + 4*t^8.114 + t^8.142 + t^8.229 - 3*t^8.257 + 3*t^8.285 + t^8.313 + 2*t^8.401 - 4*t^8.429 + 3*t^8.457 + 4*t^8.572 - 4*t^8.6 + 2*t^8.628 + 4*t^8.743 - 3*t^8.771 + t^8.799 + 5*t^8.914 - t^8.942 - t^4.457/y - t^6.715/y + t^7.686/y + t^7.857/y + (2*t^8.029)/y + (2*t^8.2)/y + t^8.343/y + t^8.371/y + t^8.514/y + t^8.658/y + t^8.685/y + (2*t^8.829)/y + t^8.857/y - t^4.457*y - t^6.715*y + t^7.686*y + t^7.857*y + 2*t^8.029*y + 2*t^8.2*y + t^8.343*y + t^8.371*y + t^8.514*y + t^8.658*y + t^8.685*y + 2*t^8.829*y + t^8.857*y | t^2.257/g1^34 + t^2.429/g1^10 + g1^14*t^2.6 + g1^38*t^2.771 + g1^12*t^3.086 + t^3.4/g1^14 + g1^10*t^3.571 + t^3.715/g1^40 + t^3.886/g1^16 + 2*g1^8*t^4.057 + g1^32*t^4.228 + g1^56*t^4.4 + t^4.515/g1^68 + t^4.686/g1^44 + (2*t^4.857)/g1^20 + 2*g1^4*t^5.029 + 2*g1^28*t^5.2 + t^5.343/g1^22 + g1^52*t^5.371 + g1^2*t^5.514 + g1^76*t^5.542 + g1^26*t^5.685 + g1^50*t^5.857 + t^5.972/g1^74 - t^6. + (2*t^6.143)/g1^50 + (3*t^6.315)/g1^26 + (4*t^6.486)/g1^2 + 4*g1^22*t^6.657 + t^6.772/g1^102 + 3*g1^46*t^6.828 + t^6.944/g1^78 + 2*g1^70*t^6.999 + (2*t^7.115)/g1^54 + g1^94*t^7.171 + (2*t^7.286)/g1^30 + t^7.429/g1^80 + (2*t^7.457)/g1^6 + (2*t^7.6)/g1^56 + 2*g1^18*t^7.628 + (3*t^7.772)/g1^32 + 2*g1^42*t^7.8 + (3*t^7.943)/g1^8 + 2*g1^66*t^7.971 - t^8.086/g1^58 + 4*g1^16*t^8.114 + g1^90*t^8.142 + t^8.229/g1^108 - (3*t^8.257)/g1^34 + 3*g1^40*t^8.285 + g1^114*t^8.313 + (2*t^8.401)/g1^84 - (4*t^8.429)/g1^10 + 3*g1^64*t^8.457 + (4*t^8.572)/g1^60 - 4*g1^14*t^8.6 + 2*g1^88*t^8.628 + (4*t^8.743)/g1^36 - 3*g1^38*t^8.771 + g1^112*t^8.799 + (5*t^8.914)/g1^12 - g1^62*t^8.942 - t^4.457/(g1^6*y) - t^6.715/(g1^40*y) + t^7.686/(g1^44*y) + t^7.857/(g1^20*y) + (2*g1^4*t^8.029)/y + (2*g1^28*t^8.2)/y + t^8.343/(g1^22*y) + (g1^52*t^8.371)/y + (g1^2*t^8.514)/y + t^8.658/(g1^48*y) + (g1^26*t^8.685)/y + (2*t^8.829)/(g1^24*y) + (g1^50*t^8.857)/y - (t^4.457*y)/g1^6 - (t^6.715*y)/g1^40 + (t^7.686*y)/g1^44 + (t^7.857*y)/g1^20 + 2*g1^4*t^8.029*y + 2*g1^28*t^8.2*y + (t^8.343*y)/g1^22 + g1^52*t^8.371*y + g1^2*t^8.514*y + (t^8.658*y)/g1^48 + g1^26*t^8.685*y + (2*t^8.829*y)/g1^24 + g1^50*t^8.857*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 |
|---|---|---|---|---|---|---|---|---|
| 3081 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6515 | 0.8171 | 0.7974 | [M:[0.7568, 1.027, 1.1892, 1.1351, 0.8108, 0.8649], q:[0.4865, 0.7568], qb:[0.3784, 0.4324], phi:[0.4865]] | t^2.27 + t^2.432 + t^2.595 + t^2.757 + t^3.081 + 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 + 2*t^4.865 + 2*t^5.027 + 2*t^5.189 + 2*t^5.351 + 2*t^5.514 + t^5.676 + t^5.838 - t^4.459/y - t^4.459*y | detail | {a: 264021/405224, c: 165551/202612, M1: 28/37, M2: 38/37, M3: 44/37, M4: 42/37, M5: 30/37, M6: 32/37, q1: 18/37, q2: 28/37, qb1: 14/37, qb2: 16/37, phi1: 18/37} |
| 3083 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.672 | 0.8561 | 0.785 | [M:[0.7561, 1.0273, 1.1894, 1.1348, 0.8106, 0.8652, 0.703], q:[0.4871, 0.7568], qb:[0.378, 0.4326], phi:[0.4864]] | t^2.109 + t^2.268 + t^2.432 + t^2.595 + t^2.759 + t^3.082 + t^3.405 + t^3.568 + t^3.727 + 2*t^4.055 + 2*t^4.218 + t^4.377 + t^4.382 + t^4.536 + t^4.541 + t^4.7 + t^4.705 + 2*t^4.864 + t^4.868 + 2*t^5.027 + 3*t^5.191 + t^5.35 + t^5.355 + 2*t^5.514 + t^5.518 + 2*t^5.677 + t^5.836 + t^5.841 + t^5.995 - t^6. - t^4.459/y - t^4.459*y | detail | |
| 3082 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6706 | 0.8525 | 0.7866 | [M:[0.7698, 1.0224, 1.1854, 1.1405, 0.8146, 0.8595, 0.7414], q:[0.4746, 0.7556], qb:[0.3849, 0.4298], phi:[0.4888]] | t^2.224 + t^2.309 + t^2.444 + t^2.579 + t^2.713 + t^3.067 + t^3.421 + t^3.556 + t^3.91 + 2*t^4.045 + t^4.179 + t^4.314 + t^4.449 + t^4.534 + t^4.619 + t^4.668 + t^4.753 + t^4.803 + 2*t^4.888 + t^4.937 + 2*t^5.022 + 2*t^5.157 + 2*t^5.292 + t^5.377 + t^5.426 + t^5.511 + 2*t^5.646 + 2*t^5.78 - t^6. - t^4.466/y - t^4.466*y | detail | |
| 3085 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6457 | 0.8102 | 0.797 | [M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | t^2.053 + t^2.368 + t^2.684 + t^3. + t^3.158 + t^3.316 + t^3.474 + t^3.632 + t^3.789 + 3*t^4.105 + 2*t^4.421 + 3*t^4.737 + 2*t^5.053 + t^5.211 + 2*t^5.368 + 2*t^5.526 + t^5.684 + 3*t^5.842 - t^4.421/y - t^4.421*y | detail | {a: 17715/27436, c: 44455/54872, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 836 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ | 0.6993 | 0.8557 | 0.8173 | [M:[0.8954, 1.0294, 1.0457, 0.9868, 0.9543, 1.0132], q:[0.5655, 0.5391], qb:[0.4477, 0.5066], phi:[0.4853]] | t^2.686 + t^2.863 + t^2.961 + t^3.039 + t^3.088 + t^3.137 + t^3.216 + t^4.142 + t^4.319 + t^4.416 + 2*t^4.495 + t^4.593 + t^4.672 + t^4.691 + t^4.77 + t^4.849 + t^5.372 + t^5.549 + t^5.726 + t^5.775 + t^5.902 + t^5.951 - 2*t^6. - t^4.456/y - t^4.456*y | detail |