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 |
|---|---|---|---|---|---|---|---|---|---|
| 46544 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ | 0.6603 | 0.8216 | 0.8036 | [M:[1.0547, 0.7265, 0.8359, 1.1641], q:[0.5099, 0.4354], qb:[0.7637, 0.4004], phi:[0.4726]] | [M:[[4], [-20], [-12], [12]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$ | ${}M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | 0 | t^2.179 + t^2.508 + t^2.731 + t^2.836 + t^3.164 + t^3.492 + t^3.597 + t^3.821 + t^3.926 + t^4.03 + t^4.149 + t^4.254 + t^4.359 + t^4.477 + t^4.687 + t^4.91 + 2*t^5.015 + t^5.239 + 2*t^5.343 + t^5.462 + t^5.567 + 2*t^5.672 + t^6.105 + t^6.21 + 2*t^6.328 + 2*t^6.433 + 2*t^6.538 + t^6.552 + 3*t^6.657 + 2*t^6.761 + 2*t^6.866 + t^6.88 + 2*t^6.985 + t^7.09 + 2*t^7.195 + t^7.208 + t^7.313 + 3*t^7.523 + t^7.628 + t^7.641 + 2*t^7.746 + 4*t^7.851 + t^7.956 + 2*t^7.97 + t^8.061 + t^8.074 + t^8.179 + t^8.193 + t^8.284 + 2*t^8.298 + t^8.389 + t^8.508 + t^8.613 + t^8.626 + 2*t^8.717 - t^8.731 + 2*t^8.941 + t^8.954 - t^4.418/y - t^6.597/y + t^7.687/y + t^7.91/y + t^8.015/y + (2*t^8.239)/y + (2*t^8.343)/y + t^8.567/y + (2*t^8.672)/y + t^8.895/y - t^4.418*y - t^6.597*y + t^7.687*y + t^7.91*y + t^8.015*y + 2*t^8.239*y + 2*t^8.343*y + t^8.567*y + 2*t^8.672*y + t^8.895*y | t^2.179/g1^20 + t^2.508/g1^12 + g1^30*t^2.731 + t^2.836/g1^4 + g1^4*t^3.164 + g1^12*t^3.492 + t^3.597/g1^22 + g1^20*t^3.821 + t^3.926/g1^14 + t^4.03/g1^48 + g1^28*t^4.149 + t^4.254/g1^6 + t^4.359/g1^40 + g1^36*t^4.477 + t^4.687/g1^32 + g1^10*t^4.91 + (2*t^5.015)/g1^24 + g1^18*t^5.239 + (2*t^5.343)/g1^16 + g1^60*t^5.462 + g1^26*t^5.567 + (2*t^5.672)/g1^8 + t^6.105/g1^34 + t^6.21/g1^68 + 2*g1^8*t^6.328 + (2*t^6.433)/g1^26 + (2*t^6.538)/g1^60 + g1^50*t^6.552 + 3*g1^16*t^6.657 + (2*t^6.761)/g1^18 + (2*t^6.866)/g1^52 + g1^58*t^6.88 + 2*g1^24*t^6.985 + t^7.09/g1^10 + (2*t^7.195)/g1^44 + g1^66*t^7.208 + g1^32*t^7.313 + (3*t^7.523)/g1^36 + t^7.628/g1^70 + g1^40*t^7.641 + 2*g1^6*t^7.746 + (4*t^7.851)/g1^28 + t^7.956/g1^62 + 2*g1^48*t^7.97 + t^8.061/g1^96 + g1^14*t^8.074 + t^8.179/g1^20 + g1^90*t^8.193 + t^8.284/g1^54 + 2*g1^56*t^8.298 + t^8.389/g1^88 + t^8.508/g1^12 + t^8.613/g1^46 + g1^64*t^8.626 + (2*t^8.717)/g1^80 - g1^30*t^8.731 + (2*t^8.941)/g1^38 + g1^72*t^8.954 - t^4.418/(g1^2*y) - t^6.597/(g1^22*y) + t^7.687/(g1^32*y) + (g1^10*t^7.91)/y + t^8.015/(g1^24*y) + (2*g1^18*t^8.239)/y + (2*t^8.343)/(g1^16*y) + (g1^26*t^8.567)/y + (2*t^8.672)/(g1^8*y) + (g1^34*t^8.895)/y - (t^4.418*y)/g1^2 - (t^6.597*y)/g1^22 + (t^7.687*y)/g1^32 + g1^10*t^7.91*y + (t^8.015*y)/g1^24 + 2*g1^18*t^8.239*y + (2*t^8.343*y)/g1^16 + g1^26*t^8.567*y + (2*t^8.672*y)/g1^8 + g1^34*t^8.895*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 |
|---|---|---|---|---|---|---|---|---|
| 48485 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6809 | 0.8616 | 0.7903 | [M:[1.0544, 0.7282, 0.8369, 1.1631, 0.6903], q:[0.5082, 0.4374], qb:[0.7636, 0.3995], phi:[0.4728]] | t^2.071 + t^2.185 + t^2.511 + t^2.723 + t^2.837 + t^3.163 + t^3.489 + t^3.603 + t^3.815 + t^4.043 + 2*t^4.142 + 2*t^4.255 + t^4.369 + t^4.468 + t^4.582 + t^4.695 + t^4.794 + 2*t^4.908 + 2*t^5.022 + 2*t^5.234 + 2*t^5.348 + t^5.446 + 2*t^5.56 + 3*t^5.674 + t^5.886 - t^4.418/y - t^4.418*y | detail | |
| 48283 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6802 | 0.8591 | 0.7917 | [M:[1.0558, 0.721, 0.8326, 1.1674, 0.721], q:[0.5151, 0.4291], qb:[0.764, 0.4035], phi:[0.4721]] | 2*t^2.163 + t^2.498 + t^2.756 + t^2.833 + t^3.167 + t^3.502 + t^3.579 + t^3.914 + t^3.991 + t^4.172 + t^4.249 + 3*t^4.326 + t^4.507 + 2*t^4.661 + 2*t^4.919 + 3*t^4.996 + t^5.253 + 3*t^5.33 + t^5.511 + t^5.588 + 3*t^5.665 + t^5.742 - t^6. - t^4.416/y - t^4.416*y | detail | |
| 48112 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6552 | 0.8131 | 0.8058 | [M:[1.054, 0.73, 0.838, 1.162, 1.054], q:[0.5065, 0.4395], qb:[0.7635, 0.3985], phi:[0.473]] | t^2.19 + t^2.514 + t^2.715 + 2*t^3.162 + t^3.486 + t^3.609 + t^3.81 + t^3.933 + t^4.056 + t^4.134 + t^4.257 + t^4.38 + t^4.458 + t^4.704 + t^4.905 + t^5.028 + t^5.229 + 2*t^5.352 + t^5.43 + 2*t^5.676 + t^5.877 - t^6. - t^4.419/y - t^4.419*y | detail | |
| 48226 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6538 | 0.8126 | 0.8046 | [M:[1.06, 0.6998, 0.8199, 1.1801, 1.0497], q:[0.5352, 0.4048], qb:[0.765, 0.4151], phi:[0.47]] | t^2.099 + t^2.46 + t^2.82 + t^3.149 + t^3.18 + t^3.509 + t^3.54 + t^3.838 + t^3.87 + t^3.901 + t^4.199 + t^4.23 + t^4.261 + t^4.559 + t^4.621 + 2*t^4.919 + t^5.248 + 2*t^5.279 + t^5.609 + 2*t^5.64 + t^5.938 + 2*t^5.969 - t^4.41/y - t^4.41*y | detail | |
| 48223 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ | 0.6079 | 0.7473 | 0.8134 | [X:[1.3846], M:[1.0769, 0.6154, 0.7692, 1.2308], q:[0.6154, 0.3077], qb:[0.7692, 0.4615], phi:[0.4615]] | t^2.308 + t^2.769 + 4*t^3.231 + 2*t^3.692 + 3*t^4.154 + 2*t^4.615 + t^5.077 + 3*t^5.538 + 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 21369/35152, c: 13135/17576, X1: 18/13, M1: 14/13, M2: 8/13, M3: 10/13, M4: 16/13, q1: 8/13, q2: 4/13, qb1: 10/13, qb2: 6/13, phi1: 6/13} |
| 47220 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{2}X_{1}$ | 0.6302 | 0.7718 | 0.8165 | [X:[1.3333], M:[1.0667, 0.6667, 0.8, 1.2], q:[0.5667, 0.3667], qb:[0.7667, 0.4333], phi:[0.4667]] | t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + 2*t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 2*t^4.8 + t^5.2 + t^5.6 + t^5.8 + t^6. - t^4.4/y - t^4.4*y | detail | {a: 3781/6000, c: 4631/6000, X1: 4/3, M1: 16/15, M2: 2/3, M3: 4/5, M4: 6/5, q1: 17/30, q2: 11/30, qb1: 23/30, qb2: 13/30, phi1: 7/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46135 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.688 | 0.8541 | 0.8054 | [M:[1.1058, 0.7867, 0.6825, 1.0016], q:[0.4368, 0.4574], qb:[0.7765, 0.5411], phi:[0.4471]] | t^2.047 + t^2.36 + t^2.682 + t^2.934 + t^3.005 + t^3.318 + t^3.701 + t^3.962 + t^4.024 + t^4.085 + t^4.095 + t^4.275 + t^4.336 + t^4.408 + t^4.588 + t^4.72 + t^4.73 + t^4.981 + t^5.043 + t^5.052 + t^5.294 + 3*t^5.365 + t^5.616 + t^5.678 + t^5.867 - 2*t^6. - t^4.341/y - t^4.341*y | detail |