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 |
|---|---|---|---|---|---|---|---|---|---|
| 2619 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6748 | 0.8495 | 0.7943 | [M:[1.0773, 0.8099, 1.0564, 0.8309, 1.1691, 0.9436, 0.6762], q:[0.5177, 0.405], qb:[0.426, 0.7641], phi:[0.4718]] | [M:[[-30], [22], [4], [-12], [12], [-4], [48]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.029 + t^2.43 + t^2.493 + 2*t^2.831 + t^3.232 + t^3.507 + 2*t^3.845 + t^3.908 + t^4.057 + t^4.183 + t^4.246 + t^4.459 + 2*t^4.522 + 3*t^4.86 + t^4.923 + t^4.986 + 3*t^5.261 + 2*t^5.324 + t^5.536 + 3*t^5.662 + 2*t^5.874 + t^5.937 - 2*t^6. + t^6.063 + t^6.086 + t^6.212 + 2*t^6.275 + 2*t^6.338 + t^6.464 + t^6.487 + 2*t^6.55 + t^6.613 + 4*t^6.676 + 2*t^6.739 + 3*t^6.888 + 2*t^6.951 + 2*t^7.014 + t^7.077 - t^7.14 + 4*t^7.29 + 5*t^7.352 - t^7.415 + t^7.565 + 6*t^7.691 + 3*t^7.754 + t^7.817 + 2*t^7.903 + t^7.966 + 4*t^8.092 + t^8.115 + t^8.155 + t^8.241 + 2*t^8.304 + 4*t^8.367 - 3*t^8.43 + 2*t^8.493 + t^8.516 - t^8.556 + 2*t^8.579 + t^8.642 + 6*t^8.705 + 2*t^8.768 - 5*t^8.831 + 2*t^8.894 + 3*t^8.917 + 2*t^8.98 - t^4.415/y - t^6.444/y - t^6.845/y + t^7.183/y - t^7.246/y + t^7.459/y + t^7.522/y + t^7.585/y - t^7.648/y + (2*t^7.86)/y + t^7.923/y + t^7.986/y + (3*t^8.261)/y + (2*t^8.324)/y + t^8.387/y - t^8.473/y + t^8.536/y + (2*t^8.662)/y + t^8.725/y + t^8.874/y + (2*t^8.937)/y - t^4.415*y - t^6.444*y - t^6.845*y + t^7.183*y - t^7.246*y + t^7.459*y + t^7.522*y + t^7.585*y - t^7.648*y + 2*t^7.86*y + t^7.923*y + t^7.986*y + 3*t^8.261*y + 2*t^8.324*y + t^8.387*y - t^8.473*y + t^8.536*y + 2*t^8.662*y + t^8.725*y + t^8.874*y + 2*t^8.937*y | g1^48*t^2.029 + g1^22*t^2.43 + t^2.493/g1^12 + (2*t^2.831)/g1^4 + t^3.232/g1^30 + g1^12*t^3.507 + 2*g1^20*t^3.845 + t^3.908/g1^14 + g1^96*t^4.057 + g1^28*t^4.183 + t^4.246/g1^6 + g1^70*t^4.459 + 2*g1^36*t^4.522 + 3*g1^44*t^4.86 + g1^10*t^4.923 + t^4.986/g1^24 + 3*g1^18*t^5.261 + (2*t^5.324)/g1^16 + g1^60*t^5.536 + (3*t^5.662)/g1^8 + 2*g1^68*t^5.874 + g1^34*t^5.937 - 2*t^6. + t^6.063/g1^34 + g1^144*t^6.086 + g1^76*t^6.212 + 2*g1^42*t^6.275 + 2*g1^8*t^6.338 + t^6.464/g1^60 + g1^118*t^6.487 + 2*g1^84*t^6.55 + g1^50*t^6.613 + 4*g1^16*t^6.676 + (2*t^6.739)/g1^18 + 3*g1^92*t^6.888 + 2*g1^58*t^6.951 + 2*g1^24*t^7.014 + t^7.077/g1^10 - t^7.14/g1^44 + 4*g1^66*t^7.29 + 5*g1^32*t^7.352 - t^7.415/g1^2 + g1^108*t^7.565 + 6*g1^40*t^7.691 + 3*g1^6*t^7.754 + t^7.817/g1^28 + 2*g1^116*t^7.903 + g1^82*t^7.966 + 4*g1^14*t^8.092 + g1^192*t^8.115 + t^8.155/g1^20 + g1^124*t^8.241 + 2*g1^90*t^8.304 + 4*g1^56*t^8.367 - 3*g1^22*t^8.43 + (2*t^8.493)/g1^12 + g1^166*t^8.516 - t^8.556/g1^46 + 2*g1^132*t^8.579 + g1^98*t^8.642 + 6*g1^64*t^8.705 + 2*g1^30*t^8.768 - (5*t^8.831)/g1^4 + (2*t^8.894)/g1^38 + 3*g1^140*t^8.917 + 2*g1^106*t^8.98 - t^4.415/(g1^2*y) - (g1^46*t^6.444)/y - (g1^20*t^6.845)/y + (g1^28*t^7.183)/y - t^7.246/(g1^6*y) + (g1^70*t^7.459)/y + (g1^36*t^7.522)/y + (g1^2*t^7.585)/y - t^7.648/(g1^32*y) + (2*g1^44*t^7.86)/y + (g1^10*t^7.923)/y + t^7.986/(g1^24*y) + (3*g1^18*t^8.261)/y + (2*t^8.324)/(g1^16*y) + t^8.387/(g1^50*y) - (g1^94*t^8.473)/y + (g1^60*t^8.536)/y + (2*t^8.662)/(g1^8*y) + t^8.725/(g1^42*y) + (g1^68*t^8.874)/y + (2*g1^34*t^8.937)/y - (t^4.415*y)/g1^2 - g1^46*t^6.444*y - g1^20*t^6.845*y + g1^28*t^7.183*y - (t^7.246*y)/g1^6 + g1^70*t^7.459*y + g1^36*t^7.522*y + g1^2*t^7.585*y - (t^7.648*y)/g1^32 + 2*g1^44*t^7.86*y + g1^10*t^7.923*y + (t^7.986*y)/g1^24 + 3*g1^18*t^8.261*y + (2*t^8.324*y)/g1^16 + (t^8.387*y)/g1^50 - g1^94*t^8.473*y + g1^60*t^8.536*y + (2*t^8.662*y)/g1^8 + (t^8.725*y)/g1^42 + g1^68*t^8.874*y + 2*g1^34*t^8.937*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 |
|---|---|---|---|---|---|---|---|---|
| 4735 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.5991 | 0.7509 | 0.7979 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 0.9143, 1.0286], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | t^2.229 + t^2.571 + 2*t^2.743 + t^2.914 + t^3.086 + t^3.6 + t^3.771 + t^4.114 + 2*t^4.286 + t^4.457 + t^4.8 + 2*t^4.971 + 2*t^5.143 + 3*t^5.314 + 3*t^5.486 + 3*t^5.657 + 3*t^5.829 - t^6. - t^4.371/y - t^4.371*y | detail | {a: 411009/686000, c: 257567/343000, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 32/35, M7: 36/35, q1: 23/35, q2: 17/35, qb1: 9/35, qb2: 27/35, phi1: 16/35} |
| 4757 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.6592 | 0.8212 | 0.8027 | [M:[1.0633, 0.8202, 1.0582, 0.8253, 1.1747, 0.9418, 0.6987, 1.1798], q:[0.5266, 0.4101], qb:[0.4152, 0.7646], phi:[0.4709]] | t^2.096 + t^2.476 + 2*t^2.825 + t^3.19 + t^3.524 + t^3.539 + 2*t^3.873 + t^3.889 + t^4.192 + t^4.223 + t^4.238 + 2*t^4.572 + 2*t^4.921 + t^4.952 + t^5.286 + 2*t^5.301 + t^5.62 + t^5.635 + 2*t^5.651 + 2*t^5.969 - 2*t^6. - t^4.413/y - t^4.413*y | detail | |
| 4758 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ | 0.6894 | 0.874 | 0.7887 | [M:[1.0695, 0.8157, 1.0574, 0.8278, 1.1722, 0.9426, 0.6888, 0.8278], q:[0.5227, 0.4079], qb:[0.4199, 0.7644], phi:[0.4713]] | t^2.067 + t^2.447 + 2*t^2.483 + 2*t^2.828 + t^3.208 + 2*t^3.861 + t^3.897 + t^4.133 + t^4.205 + t^4.242 + t^4.514 + 3*t^4.55 + 3*t^4.894 + 2*t^4.931 + 3*t^4.967 + 3*t^5.275 + 4*t^5.311 + 3*t^5.656 + t^5.692 + 2*t^5.928 - 3*t^6. - t^4.414/y - t^4.414*y | detail | |
| 4733 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}^{2}$ | 0.6102 | 0.7639 | 0.7989 | [M:[0.875, 0.9583, 1.0833, 0.75, 1.25, 0.9167, 1.0], q:[0.6458, 0.4792], qb:[0.2708, 0.7708], phi:[0.4583]] | t^2.25 + t^2.625 + 2*t^2.75 + t^2.875 + t^3. + t^3.625 + t^3.75 + t^4.125 + 2*t^4.25 + t^4.5 + t^4.75 + 2*t^5. + t^5.125 + 3*t^5.25 + t^5.375 + 3*t^5.5 + 3*t^5.625 + 3*t^5.75 + t^5.875 - t^6. - t^4.375/y - t^4.375*y | detail | {a: 29995/49152, c: 37547/49152, M1: 7/8, M2: 23/24, M3: 13/12, M4: 3/4, M5: 5/4, M6: 11/12, M7: 1, q1: 31/48, q2: 23/48, qb1: 13/48, qb2: 37/48, phi1: 11/24} |
| 4712 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6954 | 0.8893 | 0.7819 | [M:[1.0795, 0.8084, 1.0561, 0.8318, 1.1682, 0.9439, 0.6729, 0.6963], q:[0.5163, 0.4042], qb:[0.4276, 0.764], phi:[0.472]] | t^2.019 + t^2.089 + t^2.425 + t^2.495 + 2*t^2.832 + t^3.238 + t^3.505 + 2*t^3.841 + t^4.037 + t^4.107 + 2*t^4.178 + t^4.248 + t^4.444 + 3*t^4.514 + t^4.584 + 3*t^4.85 + 3*t^4.921 + t^4.991 + 3*t^5.257 + 3*t^5.327 + t^5.523 + t^5.593 + 3*t^5.664 + 2*t^5.86 + 2*t^5.93 - 2*t^6. - t^4.416/y - t^4.416*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1524 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.654 | 0.8084 | 0.8089 | [M:[1.0733, 0.8129, 1.0569, 0.8293, 1.1707, 0.9431], q:[0.5202, 0.4064], qb:[0.4229, 0.7642], phi:[0.4716]] | t^2.439 + t^2.488 + 2*t^2.829 + t^3.22 + t^3.512 + 2*t^3.853 + t^3.903 + t^3.952 + t^4.195 + t^4.244 + t^4.536 + t^4.877 + t^4.927 + t^4.976 + 2*t^5.268 + 2*t^5.317 + 3*t^5.659 - 2*t^6. - t^4.415/y - t^4.415*y | detail |