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 |
|---|---|---|---|---|---|---|---|---|---|
| 57488 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.3881 | 1.5644 | 0.8873 | [X:[1.4075], M:[0.734], q:[0.4692, 0.7654], qb:[0.5006, 0.4873], phi:[0.2962]] | [X:[[0, 6]], M:[[1, -16]], q:[[0, 2], [0, -1]], qb:[[-1, 17], [1, 0]], phi:[[0, -3]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | t^2.2 + t^2.67 + t^2.87 + t^2.91 + 2*t^3.76 + t^3.8 + t^4.22 + t^4.4 + 2*t^4.65 + 2*t^4.69 + t^4.87 + t^5.07 + t^5.31 + t^5.33 + t^5.35 + 2*t^5.54 + 2*t^5.58 + t^5.74 + t^5.78 + t^5.82 + t^5.96 - 3*t^6. - t^6.04 + t^6.2 + t^6.24 + 3*t^6.42 + t^6.46 + t^6.61 + 2*t^6.63 + 2*t^6.67 + t^6.71 + t^6.85 + t^6.89 - t^6.93 + t^7.05 + t^7.07 + 2*t^7.09 + 2*t^7.13 + t^7.17 + t^7.27 + 2*t^7.31 + 2*t^7.35 + 5*t^7.52 + t^7.53 + 4*t^7.56 + 2*t^7.6 + t^7.74 - t^7.82 + t^7.94 + 2*t^7.98 + t^8. + t^8.02 + t^8.16 + t^8.18 - 2*t^8.2 + 2*t^8.22 + t^8.26 + 5*t^8.41 + 6*t^8.45 + 2*t^8.48 + t^8.61 + 2*t^8.63 + t^8.65 - 2*t^8.67 + t^8.69 - t^8.71 + t^8.73 + t^8.81 + t^8.83 - 3*t^8.87 - 3*t^8.91 - t^8.95 + t^8.67/y^2 - t^3.89/y - t^4.78/y - t^6.09/y - t^6.55/y - t^6.76/y - t^6.8/y - t^6.98/y - t^7.44/y - (2*t^7.65)/y - t^7.69/y + t^7.87/y + t^8.07/y + t^8.11/y - t^8.29/y - t^8.54/y - t^8.76/y + t^8.78/y + t^8.96/y - t^3.89*y - t^4.78*y - t^6.09*y - t^6.55*y - t^6.76*y - t^6.8*y - t^6.98*y - t^7.44*y - 2*t^7.65*y - t^7.69*y + t^7.87*y + t^8.07*y + t^8.11*y - t^8.29*y - t^8.54*y - t^8.76*y + t^8.78*y + t^8.96*y + t^8.67*y^2 | (g1*t^2.2)/g2^16 + t^2.67/g2^9 + g1*g2^2*t^2.87 + (g2^19*t^2.91)/g1 + (2*g1*t^3.76)/g2 + (g2^16*t^3.8)/g1 + g2^6*t^4.22 + (g1^2*t^4.4)/g2^32 + (2*g1*t^4.65)/g2^4 + (2*g2^13*t^4.69)/g1 + (g1*t^4.87)/g2^25 + (g1^2*t^5.07)/g2^14 + g1*g2^14*t^5.31 + t^5.33/g2^18 + (g2^31*t^5.35)/g1 + (2*g1*t^5.54)/g2^7 + (2*g2^10*t^5.58)/g1 + g1^2*g2^4*t^5.74 + g2^21*t^5.78 + (g2^38*t^5.82)/g1^2 + (g1^2*t^5.96)/g2^17 - 3*t^6. - (g2^17*t^6.04)/g1^2 + g1*g2^11*t^6.2 + (g2^28*t^6.24)/g1 + (3*g1*t^6.42)/g2^10 + (g2^7*t^6.46)/g1 + (g1^3*t^6.61)/g2^48 + 2*g1^2*g2*t^6.63 + 2*g2^18*t^6.67 + (g2^35*t^6.71)/g1^2 + (g1^2*t^6.85)/g2^20 + t^6.89/g2^3 - (g2^14*t^6.93)/g1^2 + (g1^3*t^7.05)/g2^9 + (g1^2*t^7.07)/g2^41 + 2*g1*g2^8*t^7.09 + (2*g2^25*t^7.13)/g1 + (g2^42*t^7.17)/g1^3 + (g1^3*t^7.27)/g2^30 + (2*g1*t^7.31)/g2^13 + (2*g2^4*t^7.35)/g1 + (5*g1^2*t^7.52)/g2^2 + (g1*t^7.53)/g2^34 + 4*g2^15*t^7.56 + (2*g2^32*t^7.6)/g1^2 + (g1^2*t^7.74)/g2^23 - (g2^11*t^7.82)/g1^2 + (g1^3*t^7.94)/g2^12 + 2*g1*g2^5*t^7.98 + t^8./g2^27 + (g2^22*t^8.02)/g1 + (g1^3*t^8.16)/g2^33 + g1^2*g2^16*t^8.18 - (2*g1*t^8.2)/g2^16 + 2*g2^33*t^8.22 + (g2^50*t^8.26)/g1^2 + (5*g1^2*t^8.41)/g2^5 + 6*g2^12*t^8.45 + (2*g2^29*t^8.48)/g1^2 + g1^3*g2^6*t^8.61 + (2*g1^2*t^8.63)/g2^26 + g1*g2^23*t^8.65 - (2*t^8.67)/g2^9 + (g2^40*t^8.69)/g1 - (g2^8*t^8.71)/g1^2 + (g2^57*t^8.73)/g1^3 + (g1^4*t^8.81)/g2^64 + (g1^3*t^8.83)/g2^15 - 3*g1*g2^2*t^8.87 - (3*g2^19*t^8.91)/g1 - (g2^36*t^8.95)/g1^3 + t^8.67/(g2^9*y^2) - t^3.89/(g2^3*y) - t^4.78/(g2^6*y) - (g1*t^6.09)/(g2^19*y) - t^6.55/(g2^12*y) - (g1*t^6.76)/(g2*y) - (g2^16*t^6.8)/(g1*y) - (g1*t^6.98)/(g2^22*y) - t^7.44/(g2^15*y) - (2*g1*t^7.65)/(g2^4*y) - (g2^13*t^7.69)/(g1*y) + (g1*t^7.87)/(g2^25*y) + (g1^2*t^8.07)/(g2^14*y) + (g2^3*t^8.11)/y - (g1^2*t^8.29)/(g2^35*y) - (g1*t^8.54)/(g2^7*y) - (g1*t^8.76)/(g2^28*y) + (g2^21*t^8.78)/y + (g1^2*t^8.96)/(g2^17*y) - (t^3.89*y)/g2^3 - (t^4.78*y)/g2^6 - (g1*t^6.09*y)/g2^19 - (t^6.55*y)/g2^12 - (g1*t^6.76*y)/g2 - (g2^16*t^6.8*y)/g1 - (g1*t^6.98*y)/g2^22 - (t^7.44*y)/g2^15 - (2*g1*t^7.65*y)/g2^4 - (g2^13*t^7.69*y)/g1 + (g1*t^7.87*y)/g2^25 + (g1^2*t^8.07*y)/g2^14 + g2^3*t^8.11*y - (g1^2*t^8.29*y)/g2^35 - (g1*t^8.54*y)/g2^7 - (g1*t^8.76*y)/g2^28 + g2^21*t^8.78*y + (g1^2*t^8.96*y)/g2^17 + (t^8.67*y^2)/g2^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 60097 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.282 | 1.4853 | 0.8631 | [X:[1.2996], M:[0.9494], q:[0.4332, 0.7834], qb:[0.2672, 0.4149], phi:[0.3502]] | t^2.1 + t^2.54 + t^2.85 + 2*t^3.15 + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + t^4.34 + 3*t^4.65 + t^4.95 + t^5.09 + 3*t^5.25 + 2*t^5.39 + 5*t^5.7 + t^6. - t^4.05/y - t^5.1/y - t^4.05*y - t^5.1*y | detail | |
| 59371 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.388 | 1.5638 | 0.8876 | [X:[1.4078], M:[0.7403], q:[0.4693, 0.7654], qb:[0.4943, 0.4943], phi:[0.2961]] | t^2.22 + t^2.67 + 2*t^2.89 + 3*t^3.78 + t^4.22 + t^4.44 + 4*t^4.67 + t^4.89 + t^5.11 + t^5.33 + 2*t^5.34 + 4*t^5.56 + 3*t^5.78 - 3*t^6. - t^3.89/y - t^4.78/y - t^3.89*y - t^4.78*y | detail | |
| 59458 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.386 | 1.557 | 0.8902 | [X:[1.4212], M:[0.7355, 1.0009], q:[0.4737, 0.7631], qb:[0.5014, 0.5253], phi:[0.2894]] | t^2.21 + t^2.6 + t^2.93 + t^3. + t^3.79 + 2*t^3.87 + t^4.26 + t^4.41 + 2*t^4.66 + 2*t^4.73 + t^4.81 + 2*t^5.21 + t^5.45 + t^5.52 + 2*t^5.53 + t^5.6 + t^5.61 + t^5.85 - 3*t^6. - t^3.87/y - t^4.74/y - t^3.87*y - t^4.74*y | detail | |
| 60147 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4079 | 1.6009 | 0.8794 | [X:[1.4102], M:[0.7254, 0.7254], q:[0.4701, 0.765], qb:[0.5097, 0.486], phi:[0.2949]] | 2*t^2.18 + t^2.65 + t^2.87 + t^2.94 + 2*t^3.75 + t^4.23 + 3*t^4.35 + 2*t^4.64 + 2*t^4.71 + 2*t^4.83 + 2*t^5.04 + t^5.12 + t^5.31 + t^5.33 + t^5.4 + 2*t^5.52 + 2*t^5.59 + t^5.74 + t^5.81 + t^5.88 + 3*t^5.93 - 4*t^6. - t^3.88/y - t^4.77/y - t^3.88*y - t^4.77*y | detail | |
| 60498 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{6}$ | 1.3506 | 1.5492 | 0.8718 | [X:[1.3333], M:[0.8225], q:[0.4444, 0.7778], qb:[0.3997, 0.378], phi:[0.3333]] | 2*t^2.47 + t^2.53 + t^3. + 2*t^3.47 + t^3.53 + t^4. + 3*t^4.47 + 3*t^4.53 + 3*t^4.93 + t^5. + t^5.07 + 4*t^5.47 + 3*t^5.53 + 3*t^5.93 - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | |
| 58720 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.8406 | 0.854 | 0.9843 | [X:[1.7302, 1.5953], M:[0.8094], q:[0.5767, 0.7116], qb:[0.4789, 1.4233], phi:[0.1349]] | t^2.43 + t^3.98 + t^4.38 + t^4.79 + t^4.86 + t^5.19 + t^5.52 - 2*t^6. - t^3.4/y - t^3.81/y - t^5.83/y - t^3.4*y - t^3.81*y - t^5.83*y | detail | |
| 58913 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1.3853 | 1.5552 | 0.8907 | [X:[1.4286], M:[0.7096], q:[0.4762, 0.7619], qb:[0.5285, 0.5191], phi:[0.2857]] | t^2.13 + t^2.57 + t^2.99 + t^3.01 + 2*t^3.84 + t^3.87 + t^4.26 + t^4.29 + 3*t^4.7 + 2*t^4.73 + t^5.11 + t^5.14 + 3*t^5.56 + 3*t^5.59 + 2*t^5.97 - 2*t^6. - t^3.86/y - t^4.71/y - t^5.99/y - t^3.86*y - t^4.71*y - t^5.99*y | detail | |
| 58725 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ | 1.3869 | 1.5611 | 0.8884 | [X:[1.4174], M:[0.7087], q:[0.4725, 0.7638], qb:[0.5275, 0.4883], phi:[0.2913]] | t^2.13 + t^2.62 + t^2.88 + t^3. + 2*t^3.76 + t^3.87 + 2*t^4.25 + 2*t^4.63 + 3*t^4.75 + t^5.01 + t^5.24 + t^5.39 + 3*t^5.5 + 2*t^5.62 + t^5.76 + 2*t^5.88 - 2*t^6. - t^3.87/y - t^4.75/y - t^6./y - t^3.87*y - t^4.75*y - t^6.*y | detail | |
| 59424 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 1.386 | 1.557 | 0.8902 | [X:[1.4215], M:[0.7355], q:[0.4738, 0.7631], qb:[0.5014, 0.5262], phi:[0.2893]] | t^2.21 + t^2.6 + t^2.93 + t^3. + t^3.79 + 2*t^3.87 + t^4.26 + t^4.41 + 2*t^4.66 + 2*t^4.74 + t^4.81 + 2*t^5.21 + t^5.45 + 3*t^5.53 + 2*t^5.6 + t^5.85 - 2*t^6. - t^3.87/y - t^4.74/y - t^3.87*y - t^4.74*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47917 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4047 | 1.592 | 0.8823 | [X:[1.371], M:[0.7758], q:[0.384, 0.6985], qb:[0.5257, 0.5047], phi:[0.3145]] | t^2.327 + t^2.666 + t^2.729 + t^2.83 + 2*t^3.61 + t^3.673 + t^4.113 + 2*t^4.553 + 2*t^4.616 + t^4.655 + t^4.994 + t^5.158 + t^5.333 + t^5.343 + t^5.396 + t^5.458 + 2*t^5.497 + t^5.549 + 2*t^5.56 + t^5.612 + t^5.661 + t^5.937 - 4*t^6. - t^3.943/y - t^4.887/y - t^3.943*y - t^4.887*y | detail |