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 |
|---|---|---|---|---|---|---|---|---|---|
| 46830 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6696 | 0.8291 | 0.8076 | [M:[1.1494, 1.0, 0.8506, 0.7316, 0.881], q:[0.3658, 0.4848], qb:[0.6342, 0.7835], phi:[0.4329]] | [M:[[-3], [0], [3], [-8], [-11]], q:[[-4], [7]], qb:[[4], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}q_{1}^{2}$ | ${}$ | -1 | t^2.195 + t^2.552 + t^2.597 + t^2.643 + t^3. + t^3.448 + t^3.494 + t^3.851 + t^4.208 + t^4.253 + t^4.299 + t^4.39 + t^4.656 + t^4.747 + t^4.792 + t^4.838 + 2*t^5.104 + t^5.149 + 2*t^5.195 + t^5.24 + t^5.286 + t^5.597 + t^5.643 + t^5.688 - t^6. + 2*t^6.045 + 2*t^6.091 + t^6.136 - t^6.357 + t^6.403 + t^6.448 + 2*t^6.494 + t^6.584 + t^6.76 + 2*t^6.851 + t^6.896 + 2*t^6.942 + 2*t^6.987 + t^7.032 + t^7.208 + 2*t^7.299 + 2*t^7.344 + 2*t^7.39 + t^7.435 + t^7.481 - t^7.61 + t^7.656 + 3*t^7.701 + 2*t^7.747 + 3*t^7.792 + 2*t^7.838 + 2*t^7.883 + t^7.929 - t^8.195 + 2*t^8.24 + 2*t^8.286 + t^8.331 + t^8.416 - 2*t^8.552 + t^8.597 + 3*t^8.688 + 2*t^8.734 + 2*t^8.779 + t^8.864 - t^8.909 - t^4.299/y - t^6.494/y - t^6.896/y - t^6.942/y + t^7.656/y + t^7.701/y + t^7.747/y + t^7.792/y + t^7.838/y + t^8.104/y + t^8.149/y + (2*t^8.195)/y + t^8.24/y + t^8.552/y + t^8.597/y + (2*t^8.643)/y - t^4.299*y - t^6.494*y - t^6.896*y - t^6.942*y + t^7.656*y + t^7.701*y + t^7.747*y + t^7.792*y + t^7.838*y + t^8.104*y + t^8.149*y + 2*t^8.195*y + t^8.24*y + t^8.552*y + t^8.597*y + 2*t^8.643*y | t^2.195/g1^8 + g1^3*t^2.552 + t^2.597/g1^4 + t^2.643/g1^11 + t^3. + t^3.448/g1^3 + t^3.494/g1^10 + g1*t^3.851 + g1^12*t^4.208 + g1^5*t^4.253 + t^4.299/g1^2 + t^4.39/g1^16 + g1^9*t^4.656 + t^4.747/g1^5 + t^4.792/g1^12 + t^4.838/g1^19 + 2*g1^6*t^5.104 + t^5.149/g1 + (2*t^5.195)/g1^8 + t^5.24/g1^15 + t^5.286/g1^22 + t^5.597/g1^4 + t^5.643/g1^11 + t^5.688/g1^18 - t^6. + (2*t^6.045)/g1^7 + (2*t^6.091)/g1^14 + t^6.136/g1^21 - g1^11*t^6.357 + g1^4*t^6.403 + t^6.448/g1^3 + (2*t^6.494)/g1^10 + t^6.584/g1^24 + g1^15*t^6.76 + 2*g1*t^6.851 + t^6.896/g1^6 + (2*t^6.942)/g1^13 + (2*t^6.987)/g1^20 + t^7.032/g1^27 + g1^12*t^7.208 + (2*t^7.299)/g1^2 + (2*t^7.344)/g1^9 + (2*t^7.39)/g1^16 + t^7.435/g1^23 + t^7.481/g1^30 - g1^16*t^7.61 + g1^9*t^7.656 + 3*g1^2*t^7.701 + (2*t^7.747)/g1^5 + (3*t^7.792)/g1^12 + (2*t^7.838)/g1^19 + (2*t^7.883)/g1^26 + t^7.929/g1^33 - t^8.195/g1^8 + (2*t^8.24)/g1^15 + (2*t^8.286)/g1^22 + t^8.331/g1^29 + g1^24*t^8.416 - 2*g1^3*t^8.552 + t^8.597/g1^4 + (3*t^8.688)/g1^18 + (2*t^8.734)/g1^25 + (2*t^8.779)/g1^32 + g1^21*t^8.864 - g1^14*t^8.909 - t^4.299/(g1^2*y) - t^6.494/(g1^10*y) - t^6.896/(g1^6*y) - t^6.942/(g1^13*y) + (g1^9*t^7.656)/y + (g1^2*t^7.701)/y + t^7.747/(g1^5*y) + t^7.792/(g1^12*y) + t^7.838/(g1^19*y) + (g1^6*t^8.104)/y + t^8.149/(g1*y) + (2*t^8.195)/(g1^8*y) + t^8.24/(g1^15*y) + (g1^3*t^8.552)/y + t^8.597/(g1^4*y) + (2*t^8.643)/(g1^11*y) - (t^4.299*y)/g1^2 - (t^6.494*y)/g1^10 - (t^6.896*y)/g1^6 - (t^6.942*y)/g1^13 + g1^9*t^7.656*y + g1^2*t^7.701*y + (t^7.747*y)/g1^5 + (t^7.792*y)/g1^12 + (t^7.838*y)/g1^19 + g1^6*t^8.104*y + (t^8.149*y)/g1 + (2*t^8.195*y)/g1^8 + (t^8.24*y)/g1^15 + g1^3*t^8.552*y + (t^8.597*y)/g1^4 + (2*t^8.643*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55138 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6828 | 0.8512 | 0.8021 | [M:[1.1526, 1.0, 0.8474, 0.7403, 0.893, 0.8474], q:[0.3702, 0.4772], qb:[0.6298, 0.7825], phi:[0.4351]] | t^2.221 + 2*t^2.542 + t^2.611 + t^2.679 + t^3. + t^3.526 + t^3.847 + t^4.168 + t^4.237 + t^4.305 + t^4.442 + t^4.626 + 2*t^4.763 + t^4.832 + t^4.9 + 4*t^5.084 + 2*t^5.153 + 3*t^5.221 + t^5.289 + t^5.358 + t^5.542 + t^5.611 + t^5.747 - 2*t^6. - t^4.305/y - t^4.305*y | detail | |
| 55413 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{5}$ | 0.6298 | 0.7779 | 0.8097 | [M:[1.2105, 1.0, 0.7895, 0.8947, 1.1053], q:[0.4474, 0.3421], qb:[0.5526, 0.7632], phi:[0.4737]] | t^2.368 + t^2.684 + t^2.842 + t^3. + t^3.316 + t^3.474 + t^3.632 + t^3.789 + t^3.947 + 2*t^4.105 + t^4.421 + 2*t^4.737 + t^5.053 + t^5.211 + t^5.368 + t^5.526 + t^5.684 + 2*t^5.842 - t^4.421/y - t^4.421*y | detail | {a: 4320/6859, c: 85365/109744, M1: 23/19, M2: 1, M3: 15/19, M4: 17/19, M5: 21/19, q1: 17/38, q2: 13/38, qb1: 21/38, qb2: 29/38, phi1: 9/19} |
| 55178 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.642 | 0.792 | 0.8106 | [M:[1.2, 1.0, 0.8, 0.8667, 1.0667], q:[0.4333, 0.3667], qb:[0.5667, 0.7667], phi:[0.4667]] | t^2.4 + t^2.6 + t^2.8 + t^3. + t^3.2 + 2*t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 2*t^4.8 + t^5. + 2*t^5.2 + t^5.4 + 2*t^5.6 + t^5.8 + t^6. - t^4.4/y - t^4.4*y | detail | {a: 321/500, c: 99/125, M1: 6/5, M2: 1, M3: 4/5, M4: 13/15, M5: 16/15, q1: 13/30, q2: 11/30, qb1: 17/30, qb2: 23/30, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46450 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ | 0.7203 | 0.8855 | 0.8134 | [M:[0.9769, 1.0, 1.0231, 0.8402, 0.8171], q:[0.4201, 0.603], qb:[0.5799, 0.5568], phi:[0.4601]] | t^2.451 + t^2.521 + t^2.76 + t^2.931 + t^3. + t^3.069 + t^3.41 + t^3.901 + t^4.311 + t^4.38 + t^4.449 + t^4.721 + t^4.79 + 2*t^4.859 + t^4.903 + t^4.929 + t^4.972 + t^4.998 + t^5.041 + t^5.212 + t^5.281 + t^5.382 + t^5.451 + 2*t^5.521 + t^5.691 + t^5.76 + t^5.83 + t^5.861 - 2*t^6. - t^4.38/y - t^4.38*y | detail |