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 |
|---|---|---|---|---|---|---|---|---|---|
| 57413 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4334 | 1.6275 | 0.8807 | [X:[1.3462], M:[0.8172], q:[0.5801, 0.436], qb:[0.4199, 0.6027], phi:[0.3269]] | [X:[[0, 4]], M:[[0, -5]], q:[[-1, 5], [-1, 12]], qb:[[1, -5], [1, 0]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | ${}$ | -2 | t^2.452 + t^2.568 + t^2.942 + t^3. + t^3.116 + t^3.548 + t^3.981 + t^4.039 + t^4.097 + 2*t^4.529 + t^4.903 + t^4.961 + t^5.019 + t^5.077 + t^5.135 + t^5.308 + t^5.337 + t^5.394 + 2*t^5.51 + t^5.568 + t^5.684 + t^5.769 + t^5.856 + t^5.884 + t^5.942 - 2*t^6. + t^6.058 + 2*t^6.116 + t^6.232 + t^6.289 + t^6.318 - t^6.432 + 2*t^6.49 + t^6.548 + t^6.606 + 2*t^6.664 + t^6.721 + t^6.75 + t^6.837 + t^6.866 + t^6.923 + t^6.981 + 2*t^7.039 + 5*t^7.097 + t^7.155 + t^7.213 - t^7.24 + t^7.269 + t^7.298 - t^7.327 + t^7.355 - t^7.413 + 3*t^7.471 + 3*t^7.529 + t^7.587 + 4*t^7.645 + t^7.703 + t^7.731 - t^7.76 - t^7.789 + t^7.818 + t^7.845 + t^7.876 + t^7.903 + t^7.905 + 2*t^7.961 + t^8.019 + 7*t^8.077 + t^8.135 + t^8.163 - t^8.192 + 2*t^8.193 - t^8.221 + t^8.25 + t^8.251 + t^8.279 + t^8.336 + t^8.337 + t^8.366 - t^8.394 + 2*t^8.424 + t^8.453 + 4*t^8.51 - 3*t^8.568 + 5*t^8.626 - t^8.653 + 2*t^8.684 + t^8.711 - 2*t^8.74 - t^8.769 + t^8.798 + t^8.8 + t^8.826 + 2*t^8.856 + t^8.884 + 3*t^8.885 + t^8.942 + t^8.972 + t^8.942/y^2 - t^3.981/y - t^4.961/y - t^6.432/y - t^6.548/y - t^6.923/y - t^6.981/y - t^7.097/y - t^7.413/y - t^7.529/y - t^7.903/y - t^7.961/y + t^8.019/y - t^8.077/y + t^8.394/y + t^8.452/y + (2*t^8.568)/y + t^8.684/y - t^8.884/y - t^3.981*y - t^4.961*y - t^6.432*y - t^6.548*y - t^6.923*y - t^6.981*y - t^7.097*y - t^7.413*y - t^7.529*y - t^7.903*y - t^7.961*y + t^8.019*y - t^8.077*y + t^8.394*y + t^8.452*y + 2*t^8.568*y + t^8.684*y - t^8.884*y + t^8.942*y^2 | t^2.452/g2^5 + g2^7*t^2.568 + t^2.942/g2^6 + t^3. + g2^12*t^3.116 + g2^5*t^3.548 + t^3.981/g2^2 + g2^4*t^4.039 + g2^10*t^4.097 + 2*g2^3*t^4.529 + t^4.903/g2^10 + t^4.961/g2^4 + g2^2*t^5.019 + g2^8*t^5.077 + g2^14*t^5.135 + (g1^3*t^5.308)/g2^12 + (g2^27*t^5.337)/g1^3 + t^5.394/g2^11 + 2*g2*t^5.51 + g2^7*t^5.568 + g2^19*t^5.684 + (g2^20*t^5.769)/g1^3 + (g1^3*t^5.856)/g2^7 + t^5.884/g2^12 + t^5.942/g2^6 - 2*t^6. + g2^6*t^6.058 + 2*g2^12*t^6.116 + g2^24*t^6.232 + (g1^3*t^6.289)/g2^14 + (g2^25*t^6.318)/g1^3 - t^6.432/g2^7 + (2*t^6.49)/g2 + g2^5*t^6.548 + g2^11*t^6.606 + 2*g2^17*t^6.664 + (g1^3*t^6.721)/g2^21 + (g2^18*t^6.75)/g1^3 + (g1^3*t^6.837)/g2^9 + (g2^30*t^6.866)/g1^3 + t^6.923/g2^8 + t^6.981/g2^2 + 2*g2^4*t^7.039 + 5*g2^10*t^7.097 + g2^16*t^7.155 + g2^22*t^7.213 - (g2^17*t^7.24)/g1^3 + (g1^3*t^7.269)/g2^16 + (g2^23*t^7.298)/g1^3 - (g1^3*t^7.327)/g2^10 + t^7.355/g2^15 - t^7.413/g2^9 + (3*t^7.471)/g2^3 + 3*g2^3*t^7.529 + g2^9*t^7.587 + 4*g2^15*t^7.645 + g2^21*t^7.703 + (g2^16*t^7.731)/g1^3 - (g1^3*t^7.76)/g2^17 - (g2^22*t^7.789)/g1^3 + (g1^3*t^7.818)/g2^11 + t^7.845/g2^16 + (g1^3*t^7.876)/g2^5 + t^7.903/g2^10 + (g2^34*t^7.905)/g1^3 + (2*t^7.961)/g2^4 + g2^2*t^8.019 + 7*g2^8*t^8.077 + g2^14*t^8.135 + (g2^9*t^8.163)/g1^3 - (g1^3*t^8.192)/g2^24 + 2*g2^20*t^8.193 - (g2^15*t^8.221)/g1^3 + (g1^3*t^8.25)/g2^18 + g2^26*t^8.251 + (g2^21*t^8.279)/g1^3 + t^8.336/g2^17 + (g2^27*t^8.337)/g1^3 + (g1^3*t^8.366)/g2^6 - t^8.394/g2^11 + 2*g1^3*t^8.424 + (g2^39*t^8.453)/g1^3 + 4*g2*t^8.51 - 3*g2^7*t^8.568 + 5*g2^13*t^8.626 - (g2^8*t^8.653)/g1^3 + 2*g2^19*t^8.684 + (g2^14*t^8.711)/g1^3 - (2*g1^3*t^8.74)/g2^19 - (g2^20*t^8.769)/g1^3 + (g1^3*t^8.798)/g2^13 + g2^31*t^8.8 + t^8.826/g2^18 + (2*g1^3*t^8.856)/g2^7 + t^8.884/g2^12 + (3*g2^32*t^8.885)/g1^3 + t^8.942/g2^6 + g1^3*g2^5*t^8.972 + t^8.942/(g2^6*y^2) - t^3.981/(g2^2*y) - t^4.961/(g2^4*y) - t^6.432/(g2^7*y) - (g2^5*t^6.548)/y - t^6.923/(g2^8*y) - t^6.981/(g2^2*y) - (g2^10*t^7.097)/y - t^7.413/(g2^9*y) - (g2^3*t^7.529)/y - t^7.903/(g2^10*y) - t^7.961/(g2^4*y) + (g2^2*t^8.019)/y - (g2^8*t^8.077)/y + t^8.394/(g2^11*y) + t^8.452/(g2^5*y) + (2*g2^7*t^8.568)/y + (g2^19*t^8.684)/y - t^8.884/(g2^12*y) - (t^3.981*y)/g2^2 - (t^4.961*y)/g2^4 - (t^6.432*y)/g2^7 - g2^5*t^6.548*y - (t^6.923*y)/g2^8 - (t^6.981*y)/g2^2 - g2^10*t^7.097*y - (t^7.413*y)/g2^9 - g2^3*t^7.529*y - (t^7.903*y)/g2^10 - (t^7.961*y)/g2^4 + g2^2*t^8.019*y - g2^8*t^8.077*y + (t^8.394*y)/g2^11 + (t^8.452*y)/g2^5 + 2*g2^7*t^8.568*y + g2^19*t^8.684*y - (t^8.884*y)/g2^12 + (t^8.942*y^2)/g2^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 59408 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.4542 | 1.6688 | 0.8714 | [X:[1.3461], M:[0.8174, 0.673], q:[0.5801, 0.4358], qb:[0.4199, 0.6025], phi:[0.327]] | t^2.02 + t^2.45 + t^2.57 + t^2.94 + t^3. + t^3.11 + t^3.55 + 2*t^4.04 + t^4.1 + t^4.47 + 2*t^4.53 + t^4.59 + t^4.9 + 2*t^4.96 + 2*t^5.02 + t^5.08 + 2*t^5.13 + t^5.31 + t^5.34 + t^5.39 + 2*t^5.51 + 2*t^5.57 + t^5.68 + t^5.77 + t^5.86 + t^5.89 + t^5.94 - 2*t^6. - t^3.98/y - t^4.96/y - t^6./y - t^3.98*y - t^4.96*y - t^6.*y | detail | |
| 59421 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.4491 | 1.6533 | 0.8765 | [X:[1.3521], M:[0.8098, 0.8098], q:[0.5786, 0.4449], qb:[0.4214, 0.6116], phi:[0.3239]] | 2*t^2.43 + t^2.6 + t^2.92 + t^3. + t^3.17 + t^3.97 + t^4.06 + t^4.14 + 2*t^4.54 + 3*t^4.86 + t^4.94 + 2*t^5.03 + t^5.11 + t^5.2 + t^5.33 + 2*t^5.34 + t^5.38 + t^5.43 + 2*t^5.51 + 2*t^5.6 + t^5.77 + t^5.78 + t^5.83 + t^5.91 + t^5.92 - 3*t^6. - t^3.97/y - t^4.94/y - t^3.97*y - t^4.94*y | detail | |
| 59473 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4215 | 1.6046 | 0.8859 | [X:[1.3568], M:[0.804, 1.1255], q:[0.5775, 0.4519], qb:[0.4225, 0.6186], phi:[0.3216]] | t^2.41 + t^2.89 + t^3. + t^3.21 + t^3.38 + t^3.59 + t^3.96 + t^4.07 + t^4.18 + 2*t^4.55 + t^4.82 + t^4.93 + t^5.14 + t^5.31 + t^5.36 + t^5.41 + t^5.52 + 3*t^5.79 + t^5.89 + t^5.94 - 2*t^6. - t^3.96/y - t^4.93/y - t^3.96*y - t^4.93*y | detail | |
| 59025 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.4398 | 1.6341 | 0.8811 | [X:[1.3658], M:[0.7927, 0.9026], q:[0.5752, 0.4654], qb:[0.4248, 0.632], phi:[0.3171]] | t^2.38 + t^2.67 + t^2.71 + t^2.85 + t^3. + t^3.62 + t^3.95 + t^4.1 + t^4.24 + 2*t^4.57 + t^4.76 + t^4.9 + t^5.05 + t^5.09 + t^5.19 + t^5.23 + t^5.34 + t^5.38 + t^5.4 + t^5.42 + t^5.47 + 2*t^5.52 + t^5.56 + 2*t^5.71 + t^5.8 + t^5.85 - 2*t^6. - t^3.95/y - t^4.9/y - t^3.95*y - t^4.9*y | detail | |
| 60487 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.4151 | 1.6004 | 0.8842 | [X:[1.3759], M:[0.7801], q:[0.6241, 0.5319], qb:[0.3759, 0.5958], phi:[0.312]] | t^2.34 + t^2.72 + t^2.81 + t^3. + t^3.38 + t^3.66 + t^3.94 + t^4.13 + t^4.32 + 2*t^4.6 + t^4.68 + t^4.87 + t^4.98 + t^5.06 + t^5.15 + t^5.26 + t^5.45 + 2*t^5.53 + t^5.62 + t^5.64 + t^5.72 + t^5.81 + t^5.92 - t^6. - t^3.94/y - t^4.87/y - t^3.94*y - t^4.87*y | detail | |
| 59494 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.4302 | 1.6233 | 0.8811 | [X:[1.3497], M:[0.8129], q:[0.6043, 0.4662], qb:[0.3957, 0.5828], phi:[0.3252]] | t^2.44 + t^2.59 + t^2.93 + t^3. + t^3.15 + t^3.56 + t^3.98 + t^4.05 + t^4.12 + 2*t^4.54 + t^4.88 + t^4.95 + t^5.02 + 2*t^5.1 + t^5.17 + t^5.37 + 2*t^5.51 + 2*t^5.59 + t^5.66 + t^5.73 + t^5.85 + t^5.93 - t^6. - t^3.98/y - t^4.95/y - t^3.98*y - t^4.95*y | detail | |
| 60486 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4095 | 1.5959 | 0.8832 | [X:[1.372], M:[0.785], q:[0.5097, 0.4107], qb:[0.4903, 0.7053], phi:[0.314]] | t^2.35 + t^2.7 + t^2.83 + t^3. + t^3.35 + t^3.65 + t^3.94 + t^4.12 + t^4.29 + 2*t^4.59 + t^4.71 + t^4.88 + t^4.94 + t^5.06 + t^5.18 + 2*t^5.23 + t^5.41 + 2*t^5.53 + t^5.65 + t^5.7 + t^5.83 + t^5.88 - t^6. - t^3.94/y - t^4.88/y - t^3.94*y - t^4.88*y | detail | |
| 60483 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1.4302 | 1.6177 | 0.8841 | [X:[1.3684], M:[0.7895], q:[0.5746, 0.4693], qb:[0.4254, 0.636], phi:[0.3158]] | t^2.37 + t^2.68 + t^2.84 + t^3. + t^3.32 + t^3.63 + t^3.95 + t^4.11 + t^4.26 + 2*t^4.58 + t^4.74 + t^4.89 + t^5.05 + 2*t^5.21 + t^5.37 + t^5.41 + t^5.49 + 2*t^5.53 + 2*t^5.68 + t^5.8 + t^5.84 - t^6. - t^3.95/y - t^4.89/y - t^3.95*y - t^4.89*y | detail | {a: 1255617/877952, c: 1420233/877952, X1: 26/19, M1: 15/19, q1: 131/228, q2: 107/228, qb1: 97/228, qb2: 145/228, phi1: 6/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47900 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.495 | 1.7254 | 0.8664 | [M:[0.6707], q:[0.4996, 0.493], qb:[0.5004, 0.4921], phi:[0.3358]] | t^2.012 + t^2.015 + t^2.955 + t^2.975 + t^2.98 + t^3. + t^3.022 + t^3.963 + t^3.982 + t^4.007 + t^4.024 + t^4.027 + t^4.03 + t^4.968 + 2*t^4.97 + t^4.987 + 2*t^4.99 + t^4.993 + 2*t^4.995 + t^5.012 + 2*t^5.015 + t^5.035 + t^5.037 + t^5.462 + t^5.464 + t^5.484 + t^5.486 + t^5.911 + t^5.93 + t^5.936 + t^5.95 + 2*t^5.955 + t^5.961 + t^5.975 + 2*t^5.978 + t^5.995 + 2*t^5.997 - 3*t^6. - t^4.007/y - t^5.015/y - t^4.007*y - t^5.015*y | detail |