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 |
|---|---|---|---|---|---|---|---|---|---|
| 2639 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}M_{7}$ | 0.6651 | 0.8251 | 0.8061 | [M:[0.9459, 0.8133, 0.9459, 0.8133, 1.1867, 0.7469, 1.1867], q:[0.6475, 0.4066], qb:[0.4066, 0.7801], phi:[0.4398]] | [M:[[-22], [-2], [-22], [-2], [2], [8], [2]], q:[[23], [-1]], qb:[[-1], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$ | ${}M_{2}M_{7}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | -1 | t^2.241 + t^2.44 + t^2.639 + 2*t^2.838 + 2*t^3.56 + 2*t^3.759 + t^4.283 + 3*t^4.482 + t^4.681 + 2*t^4.88 + 3*t^5.079 + t^5.204 + t^5.278 + 2*t^5.476 + 3*t^5.675 + 2*t^5.801 - t^6. + 2*t^6.199 + 5*t^6.398 + t^6.524 + 2*t^6.597 + t^6.722 + t^6.921 + 4*t^7.12 + 6*t^7.319 + t^7.445 + 4*t^7.518 + 3*t^7.717 + t^7.843 + 4*t^7.916 + 4*t^8.042 + 2*t^8.115 - t^8.241 + 3*t^8.314 - t^8.44 + 4*t^8.513 + 2*t^8.639 + 3*t^8.764 - 4*t^8.838 + 2*t^8.963 - t^4.319/y - t^6.56/y - t^6.958/y - (2*t^7.157)/y + (2*t^7.482)/y + (2*t^7.681)/y + t^7.88/y + (4*t^8.079)/y + (2*t^8.278)/y + (2*t^8.476)/y + t^8.675/y + t^8.801/y - t^4.319*y - t^6.56*y - t^6.958*y - 2*t^7.157*y + 2*t^7.482*y + 2*t^7.681*y + t^7.88*y + 4*t^8.079*y + 2*t^8.278*y + 2*t^8.476*y + t^8.675*y + t^8.801*y | g1^8*t^2.241 + t^2.44/g1^2 + t^2.639/g1^12 + (2*t^2.838)/g1^22 + 2*g1^2*t^3.56 + (2*t^3.759)/g1^8 + g1^26*t^4.283 + 3*g1^16*t^4.482 + g1^6*t^4.681 + (2*t^4.88)/g1^4 + (3*t^5.079)/g1^14 + g1^40*t^5.204 + t^5.278/g1^24 + (2*t^5.476)/g1^34 + (3*t^5.675)/g1^44 + 2*g1^10*t^5.801 - t^6. + (2*t^6.199)/g1^10 + (5*t^6.398)/g1^20 + g1^34*t^6.524 + (2*t^6.597)/g1^30 + g1^24*t^6.722 + g1^14*t^6.921 + 4*g1^4*t^7.12 + (6*t^7.319)/g1^6 + g1^48*t^7.445 + (4*t^7.518)/g1^16 + (3*t^7.717)/g1^26 + g1^28*t^7.843 + (4*t^7.916)/g1^36 + 4*g1^18*t^8.042 + (2*t^8.115)/g1^46 - g1^8*t^8.241 + (3*t^8.314)/g1^56 - t^8.44/g1^2 + (4*t^8.513)/g1^66 + (2*t^8.639)/g1^12 + 3*g1^42*t^8.764 - (4*t^8.838)/g1^22 + 2*g1^32*t^8.963 - t^4.319/(g1^6*y) - (g1^2*t^6.56)/y - t^6.958/(g1^18*y) - (2*t^7.157)/(g1^28*y) + (2*g1^16*t^7.482)/y + (2*g1^6*t^7.681)/y + t^7.88/(g1^4*y) + (4*t^8.079)/(g1^14*y) + (2*t^8.278)/(g1^24*y) + (2*t^8.476)/(g1^34*y) + t^8.675/(g1^44*y) + (g1^10*t^8.801)/y - (t^4.319*y)/g1^6 - g1^2*t^6.56*y - (t^6.958*y)/g1^18 - (2*t^7.157*y)/g1^28 + 2*g1^16*t^7.482*y + 2*g1^6*t^7.681*y + (t^7.88*y)/g1^4 + (4*t^8.079*y)/g1^14 + (2*t^8.278*y)/g1^24 + (2*t^8.476*y)/g1^34 + (t^8.675*y)/g1^44 + g1^10*t^8.801*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 |
|---|---|---|---|---|---|---|---|---|
| 4791 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}M_{7}$ + ${ }M_{1}M_{8}$ | 0.6625 | 0.8215 | 0.8064 | [M:[0.9984, 0.818, 0.9984, 0.818, 1.182, 0.7278, 1.182, 1.0016], q:[0.5925, 0.409], qb:[0.409, 0.7729], phi:[0.4541]] | t^2.184 + t^2.454 + t^2.725 + t^2.995 + t^3.005 + 2*t^3.546 + 2*t^3.816 + t^4.096 + 3*t^4.367 + t^4.638 + 2*t^4.908 + t^4.918 + 2*t^5.179 + t^5.188 + t^5.459 + t^5.72 + 3*t^5.729 + t^5.991 - t^4.362/y - t^4.362*y | detail | {a: 5744057/8670000, c: 7122757/8670000, M1: 1273/1275, M2: 1043/1275, M3: 1273/1275, M4: 1043/1275, M5: 1507/1275, M6: 928/1275, M7: 1507/1275, M8: 1277/1275, q1: 1511/2550, q2: 1043/2550, qb1: 1043/2550, qb2: 657/850, phi1: 193/425} |
| 4790 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6549 | 0.8078 | 0.8107 | [M:[0.9717, 0.8156, 0.9717, 0.8156, 1.1844, 0.7376, 1.1844, 1.1063], q:[0.6205, 0.4078], qb:[0.4078, 0.7766], phi:[0.4468]] | t^2.213 + t^2.447 + 2*t^2.915 + t^3.319 + 2*t^3.553 + 2*t^3.787 + t^4.191 + 3*t^4.425 + t^4.659 + t^4.894 + t^5.063 + 2*t^5.128 + t^5.532 + 3*t^5.766 + 3*t^5.83 - t^6. - t^4.341/y - t^4.341*y | detail | |
| 4780 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}M_{7}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ | 0.4329 | 0.5098 | 0.8491 | [X:[1.5385, 1.5385, 1.3846], M:[0.4615, 0.7692, 0.4615, 0.7692, 1.2308, 0.9231, 1.2308], q:[1.1538, 0.3846], qb:[0.3846, 0.8462], phi:[0.3077]] | t^2.308 + t^2.769 + 2*t^3.231 + t^4.154 + t^4.615 + t^5.077 + 3*t^5.538 - 2*t^6. - t^3.923/y - t^3.923*y | detail | {a: 951/2197, c: 1120/2197, X1: 20/13, X2: 20/13, X3: 18/13, M1: 6/13, M2: 10/13, M3: 6/13, M4: 10/13, M5: 16/13, M6: 12/13, M7: 16/13, q1: 15/13, q2: 5/13, qb1: 5/13, qb2: 11/13, phi1: 4/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1551 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ | 0.6808 | 0.8526 | 0.7985 | [M:[0.9426, 0.813, 0.9426, 0.813, 1.187, 0.7481], q:[0.6509, 0.4065], qb:[0.4065, 0.7806], phi:[0.4389]] | t^2.244 + 2*t^2.439 + t^2.633 + 2*t^2.828 + t^3.561 + 2*t^3.756 + t^4.294 + 3*t^4.489 + 2*t^4.683 + 4*t^4.878 + 4*t^5.072 + t^5.222 + 3*t^5.267 + 2*t^5.461 + 3*t^5.656 + t^5.806 - t^6. - t^4.317/y - t^4.317*y | detail |