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 |
|---|---|---|---|---|---|---|---|---|---|
| 2659 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{7}$ | 0.6707 | 0.8306 | 0.8075 | [M:[0.9859, 0.7793, 0.9343, 0.831, 1.169, 1.1174, 0.831], q:[0.6244, 0.3897], qb:[0.4413, 0.7793], phi:[0.4413]] | [M:[[-18], [2], [-13], [-3], [3], [8], [-3]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 | {a: 20285/30246, c: 200975/241968, M1: 70/71, M2: 166/213, M3: 199/213, M4: 59/71, M5: 83/71, M6: 238/213, M7: 59/71, q1: 133/213, q2: 83/213, qb1: 94/213, qb2: 166/213, phi1: 94/213} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}^{2}$ | ${}$ | -2 | t^2.338 + 2*t^2.493 + t^2.803 + t^2.958 + t^3.352 + t^3.662 + t^3.817 + t^3.972 + t^4.211 + t^4.366 + t^4.521 + t^4.676 + 2*t^4.831 + 3*t^4.986 + t^5.07 + t^5.141 + 2*t^5.296 + t^5.451 + t^5.606 + t^5.69 + t^5.761 + t^5.845 + t^5.915 - 2*t^6. + 2*t^6.155 + 3*t^6.31 + 2*t^6.465 + t^6.62 + 2*t^6.704 + t^6.775 + t^6.859 + t^6.93 + 2*t^7.014 + 2*t^7.169 + 3*t^7.324 + t^7.408 + 5*t^7.479 + 2*t^7.563 + 3*t^7.634 + 3*t^7.789 + 3*t^7.944 + t^8.028 + 2*t^8.099 + t^8.183 + 2*t^8.254 - t^8.338 + 2*t^8.408 + t^8.423 - 3*t^8.493 + t^8.563 + 2*t^8.648 + t^8.718 + t^8.732 + t^8.803 + t^8.873 + t^8.958 - t^4.324/y - t^6.662/y - t^6.817/y - t^7.127/y - t^7.282/y + t^7.366/y + t^7.521/y + (3*t^7.831)/y + (2*t^7.986)/y + t^8.141/y + (3*t^8.296)/y + (2*t^8.451)/y + t^8.69/y + t^8.761/y + (2*t^8.845)/y - t^4.324*y - t^6.662*y - t^6.817*y - t^7.127*y - t^7.282*y + t^7.366*y + t^7.521*y + 3*t^7.831*y + 2*t^7.986*y + t^8.141*y + 3*t^8.296*y + 2*t^8.451*y + t^8.69*y + t^8.761*y + 2*t^8.845*y | g1^2*t^2.338 + (2*t^2.493)/g1^3 + t^2.803/g1^13 + t^2.958/g1^18 + g1^8*t^3.352 + t^3.662/g1^2 + t^3.817/g1^7 + t^3.972/g1^12 + g1^19*t^4.211 + g1^14*t^4.366 + g1^9*t^4.521 + g1^4*t^4.676 + (2*t^4.831)/g1 + (3*t^4.986)/g1^6 + g1^30*t^5.07 + t^5.141/g1^11 + (2*t^5.296)/g1^16 + t^5.451/g1^21 + t^5.606/g1^26 + g1^10*t^5.69 + t^5.761/g1^31 + g1^5*t^5.845 + t^5.915/g1^36 - 2*t^6. + (2*t^6.155)/g1^5 + (3*t^6.31)/g1^10 + (2*t^6.465)/g1^15 + t^6.62/g1^20 + 2*g1^16*t^6.704 + t^6.775/g1^25 + g1^11*t^6.859 + t^6.93/g1^30 + 2*g1^6*t^7.014 + 2*g1*t^7.169 + (3*t^7.324)/g1^4 + g1^32*t^7.408 + (5*t^7.479)/g1^9 + 2*g1^27*t^7.563 + (3*t^7.634)/g1^14 + (3*t^7.789)/g1^19 + (3*t^7.944)/g1^24 + g1^12*t^8.028 + (2*t^8.099)/g1^29 + g1^7*t^8.183 + (2*t^8.254)/g1^34 - g1^2*t^8.338 + (2*t^8.408)/g1^39 + g1^38*t^8.423 - (3*t^8.493)/g1^3 + t^8.563/g1^44 + (2*t^8.648)/g1^8 + t^8.718/g1^49 + g1^28*t^8.732 + t^8.803/g1^13 + t^8.873/g1^54 + t^8.958/g1^18 - t^4.324/(g1^4*y) - t^6.662/(g1^2*y) - t^6.817/(g1^7*y) - t^7.127/(g1^17*y) - t^7.282/(g1^22*y) + (g1^14*t^7.366)/y + (g1^9*t^7.521)/y + (3*t^7.831)/(g1*y) + (2*t^7.986)/(g1^6*y) + t^8.141/(g1^11*y) + (3*t^8.296)/(g1^16*y) + (2*t^8.451)/(g1^21*y) + (g1^10*t^8.69)/y + t^8.761/(g1^31*y) + (2*g1^5*t^8.845)/y - (t^4.324*y)/g1^4 - (t^6.662*y)/g1^2 - (t^6.817*y)/g1^7 - (t^7.127*y)/g1^17 - (t^7.282*y)/g1^22 + g1^14*t^7.366*y + g1^9*t^7.521*y + (3*t^7.831*y)/g1 + (2*t^7.986*y)/g1^6 + (t^8.141*y)/g1^11 + (3*t^8.296*y)/g1^16 + (2*t^8.451*y)/g1^21 + g1^10*t^8.69*y + (t^8.761*y)/g1^31 + 2*g1^5*t^8.845*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 |
|---|---|---|---|---|---|---|---|---|
| 4857 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{4}$ | 0.6526 | 0.8104 | 0.8054 | [M:[1.1429, 0.7619, 1.0476, 0.8571, 1.1429, 1.0476, 0.8571], q:[0.4762, 0.381], qb:[0.4762, 0.7619], phi:[0.4762]] | t^2.286 + 2*t^2.571 + 2*t^3.143 + t^3.429 + 2*t^3.714 + 2*t^4. + 3*t^4.286 + t^4.571 + 2*t^4.857 + 3*t^5.143 + 2*t^5.429 + 3*t^5.714 - t^6. - t^4.429/y - t^4.429*y | detail | {a: 1535/2352, c: 953/1176, M1: 8/7, M2: 16/21, M3: 22/21, M4: 6/7, M5: 8/7, M6: 22/21, M7: 6/7, q1: 10/21, q2: 8/21, qb1: 10/21, qb2: 16/21, phi1: 10/21} |
| 4858 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6883 | 0.862 | 0.7985 | [M:[0.99, 0.7789, 0.9372, 0.8317, 1.1683, 1.1156, 0.8317, 0.7789], q:[0.6206, 0.3894], qb:[0.4422, 0.7789], phi:[0.4422]] | 2*t^2.337 + 2*t^2.495 + t^2.812 + t^2.97 + t^3.347 + t^3.822 + t^3.98 + t^4.198 + t^4.357 + t^4.515 + 3*t^4.673 + 4*t^4.832 + 3*t^4.99 + t^5.05 + 2*t^5.148 + 3*t^5.307 + t^5.465 + t^5.623 + 2*t^5.683 + t^5.782 + t^5.842 + t^5.94 - 3*t^6. - t^4.327/y - t^4.327*y | detail | {a: 8227121/11952048, c: 10302961/11952048, M1: 494/499, M2: 1166/1497, M3: 1403/1497, M4: 415/499, M5: 583/499, M6: 1670/1497, M7: 415/499, M8: 1166/1497, q1: 929/1497, q2: 583/1497, qb1: 662/1497, qb2: 1166/1497, phi1: 662/1497} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1543 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6562 | 0.8056 | 0.8146 | [M:[0.994, 0.7784, 0.9401, 0.8323, 1.1677, 1.1138], q:[0.6167, 0.3892], qb:[0.4431, 0.7784], phi:[0.4431]] | t^2.335 + t^2.497 + t^2.82 + t^2.982 + t^3.341 + t^3.503 + t^3.665 + t^3.826 + t^3.988 + t^4.186 + t^4.347 + t^4.509 + t^4.671 + t^4.832 + t^4.994 + t^5.03 + t^5.156 + t^5.317 + t^5.641 + t^5.677 + t^5.803 + t^5.838 + t^5.964 - t^6. - t^4.329/y - t^4.329*y | detail |