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 |
|---|---|---|---|---|---|---|---|---|---|
| 57388 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.4335 | 1.6011 | 0.8953 | [X:[1.4107], M:[0.8547], q:[0.5463, 0.5795], qb:[0.5991, 0.5072], phi:[0.2947]] | [X:[[0, 4]], M:[[3, -21]], q:[[-2, 20], [1, -9]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.564 + t^2.652 + t^3.16 + t^3.26 + t^3.536 + t^4.044 + t^4.144 + t^4.232 + t^4.32 + t^4.42 + t^4.928 + t^5.028 + t^5.128 + t^5.204 + t^5.216 + 2*t^5.304 + t^5.724 + t^5.812 + t^5.824 + t^5.912 - 2*t^6. + t^6.188 - t^6.276 + t^6.321 + t^6.421 + t^6.52 + t^6.608 + 2*t^6.696 + t^6.708 + 3*t^6.796 + t^6.884 + t^6.972 + 2*t^7.072 - t^7.16 + t^7.205 + t^7.217 + 2*t^7.305 + t^7.392 + t^7.404 + t^7.48 + 2*t^7.492 + t^7.568 + 2*t^7.58 + t^7.592 + 2*t^7.68 + t^7.692 + 2*t^7.768 + t^7.78 + t^7.856 + 2*t^7.868 + 3*t^7.956 + 2*t^8.089 + 2*t^8.188 + 2*t^8.288 + t^8.364 + t^8.376 + t^8.388 + 3*t^8.464 + t^8.476 - t^8.652 + t^8.84 + t^8.885 - t^8.928 + 2*t^8.973 + t^8.985 + t^8.652/y^2 - t^3.884/y - t^4.768/y - t^6.448/y - t^6.536/y - t^7.044/y - t^7.144/y - t^7.332/y - (2*t^7.42)/y - t^7.928/y - t^8.028/y + t^8.216/y - t^8.304/y + t^8.724/y + t^8.824/y - t^3.884*y - t^4.768*y - t^6.448*y - t^6.536*y - t^7.044*y - t^7.144*y - t^7.332*y - 2*t^7.42*y - t^7.928*y - t^8.028*y + t^8.216*y - t^8.304*y + t^8.724*y + t^8.824*y + t^8.652*y^2 | (g1^3*t^2.564)/g2^21 + t^2.652/g2^6 + g2^20*t^3.16 + (g1^3*t^3.26)/g2^9 + t^3.536/g2^8 + g2^18*t^4.044 + (g1^3*t^4.144)/g2^11 + g2^4*t^4.232 + (g2^19*t^4.32)/g1^3 + t^4.42/g2^10 + g2^16*t^4.928 + (g1^3*t^5.028)/g2^13 + (g1^6*t^5.128)/g2^42 + (g2^17*t^5.204)/g1^3 + (g1^3*t^5.216)/g2^27 + (2*t^5.304)/g2^12 + (g1^3*t^5.724)/g2 + g2^14*t^5.812 + (g1^6*t^5.824)/g2^30 + (g1^3*t^5.912)/g2^15 - 2*t^6. + t^6.188/g2^14 - (g2*t^6.276)/g1^3 + g2^40*t^6.321 + g1^3*g2^11*t^6.421 + (g1^6*t^6.52)/g2^18 + (g1^3*t^6.608)/g2^3 + 2*g2^12*t^6.696 + (g1^6*t^6.708)/g2^32 + (3*g1^3*t^6.796)/g2^17 + t^6.884/g2^2 + (g2^13*t^6.972)/g1^3 + (2*t^7.072)/g2^16 - t^7.16/(g1^3*g2) + g2^38*t^7.205 + (g1^6*t^7.217)/g2^6 + 2*g1^3*g2^9*t^7.305 + g2^24*t^7.392 + (g1^6*t^7.404)/g2^20 + (g2^39*t^7.48)/g1^3 + (2*g1^3*t^7.492)/g2^5 + (g2^54*t^7.568)/g1^6 + 2*g2^10*t^7.58 + (g1^6*t^7.592)/g2^34 + (2*g1^3*t^7.68)/g2^19 + (g1^9*t^7.692)/g2^63 + (2*t^7.768)/g2^4 + (g1^6*t^7.78)/g2^48 + (g2^11*t^7.856)/g1^3 + (2*g1^3*t^7.868)/g2^33 + (3*t^7.956)/g2^18 + 2*g2^36*t^8.089 + 2*g1^3*g2^7*t^8.188 + (2*g1^6*t^8.288)/g2^22 + (g2^37*t^8.364)/g1^3 + (g1^3*t^8.376)/g2^7 + (g1^9*t^8.388)/g2^51 + 3*g2^8*t^8.464 + (g1^6*t^8.476)/g2^36 - t^8.652/g2^6 + t^8.84/g2^20 + g1^3*g2^19*t^8.885 - t^8.928/(g1^3*g2^5) + 2*g2^34*t^8.973 + (g1^6*t^8.985)/g2^10 + t^8.652/(g2^6*y^2) - t^3.884/(g2^2*y) - t^4.768/(g2^4*y) - (g1^3*t^6.448)/(g2^23*y) - t^6.536/(g2^8*y) - (g2^18*t^7.044)/y - (g1^3*t^7.144)/(g2^11*y) - (g1^3*t^7.332)/(g2^25*y) - (2*t^7.42)/(g2^10*y) - (g2^16*t^7.928)/y - (g1^3*t^8.028)/(g2^13*y) + (g1^3*t^8.216)/(g2^27*y) - t^8.304/(g2^12*y) + (g1^3*t^8.724)/(g2*y) + (g1^6*t^8.824)/(g2^30*y) - (t^3.884*y)/g2^2 - (t^4.768*y)/g2^4 - (g1^3*t^6.448*y)/g2^23 - (t^6.536*y)/g2^8 - g2^18*t^7.044*y - (g1^3*t^7.144*y)/g2^11 - (g1^3*t^7.332*y)/g2^25 - (2*t^7.42*y)/g2^10 - g2^16*t^7.928*y - (g1^3*t^8.028*y)/g2^13 + (g1^3*t^8.216*y)/g2^27 - (t^8.304*y)/g2^12 + (g1^3*t^8.724*y)/g2 + (g1^6*t^8.824*y)/g2^30 + (t^8.652*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 |
|---|---|---|---|---|---|---|---|---|
| 58516 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3734 | 1.5406 | 0.8914 | [X:[1.3765], M:[1.0648], q:[0.3549, 0.6667], qb:[0.5803, 0.5276], phi:[0.3117]] | t^2.65 + t^2.81 + t^3.19 + 2*t^3.58 + 2*t^3.74 + t^4.13 + 2*t^4.52 + 2*t^4.68 + t^5.3 + 2*t^5.45 + 2*t^5.61 + t^5.84 - t^3.94/y - t^4.87/y - t^3.94*y - t^4.87*y | detail | |
| 58520 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.4323 | 1.598 | 0.8963 | [X:[1.4108], M:[0.8837], q:[0.5271, 0.5892], qb:[0.5892, 0.5271], phi:[0.2946]] | 2*t^2.65 + t^3.16 + t^3.35 + t^3.53 + t^4.05 + 3*t^4.23 + t^4.42 + t^4.93 + 2*t^5.12 + 4*t^5.3 + 2*t^5.81 - t^3.88/y - t^4.77/y - t^3.88*y - t^4.77*y | detail | |
| 58514 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}^{2}$ | 1.4076 | 1.5709 | 0.8961 | [X:[1.398], M:[1.0], q:[0.4303, 0.6343], qb:[0.5697, 0.5596], phi:[0.301]] | t^2.71 + t^2.97 + t^3. + t^3.58 + t^3.61 + t^3.87 + t^3.9 + t^4.19 + t^4.48 + t^4.52 + t^4.78 + t^4.81 + t^5.39 + 2*t^5.42 + t^5.68 + t^5.71 + t^5.94 + t^5.97 - t^6. - t^3.9/y - t^4.81/y - t^3.9*y - t^4.81*y | detail | |
| 58521 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4233 | 1.5849 | 0.898 | [X:[1.4073], M:[0.8597, 1.1109], q:[0.5378, 0.5829], qb:[0.6025, 0.4986], phi:[0.2964]] | t^2.58 + t^3.11 + t^3.24 + t^3.33 + t^3.56 + t^4. + t^4.13 + t^4.22 + t^4.31 + t^4.45 + t^4.89 + t^5.02 + t^5.16 + t^5.2 + t^5.33 + t^5.69 + t^5.82 + t^5.91 - 2*t^6. - t^3.89/y - t^4.78/y - t^3.89*y - t^4.78*y | detail | |
| 58522 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.4412 | 1.6124 | 0.8938 | [X:[1.4224], M:[0.8375, 0.888], q:[0.5753, 0.568], qb:[0.5872, 0.5367], phi:[0.2888]] | t^2.51 + t^2.6 + t^2.66 + t^3.31 + t^3.47 + t^4.18 + t^4.2 + t^4.27 + t^4.33 + t^4.35 + t^5.03 + t^5.05 + t^5.07 + t^5.11 + t^5.18 + 2*t^5.2 + t^5.22 + t^5.26 + t^5.33 + t^5.83 + t^5.91 + t^5.98 - 2*t^6. - t^3.87/y - t^4.73/y - t^3.87*y - t^4.73*y | detail | |
| 58507 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | 1.0602 | 1.173 | 0.9039 | [X:[1.4844], M:[1.2889], q:[0.3674, 0.6874], qb:[0.3437, 1.0548], phi:[0.2578]] | t^2.32 + t^2.91 + t^3.09 + t^3.68 + t^3.87 + t^4.27 + t^4.45 + t^4.64 + t^5.04 + 2*t^5.23 + t^5.41 + t^5.63 + t^5.81 - t^3.77/y - t^4.55/y - t^3.77*y - t^4.55*y | detail | |
| 58518 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4276 | 1.5887 | 0.8986 | [X:[1.4235], M:[0.8825], q:[0.5469, 0.5824], qb:[0.5706, 0.5706], phi:[0.2882]] | t^2.59 + t^2.65 + t^3.35 + 2*t^3.46 + 2*t^4.22 + t^4.27 + 2*t^4.32 + 2*t^5.08 + 3*t^5.19 + t^5.24 + t^5.29 + t^5.95 - 2*t^6. - t^3.86/y - t^4.73/y - t^3.86*y - t^4.73*y | detail | |
| 58513 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.3036 | 1.4453 | 0.902 | [X:[1.4336], M:[1.1329], q:[0.3951, 0.6609], qb:[0.472, 0.7727], phi:[0.2832]] | t^2.55 + 2*t^3.4 + t^3.45 + t^3.5 + t^4.25 + 3*t^4.3 + t^4.35 + t^5.1 + t^5.15 + t^5.2 + t^5.95 - t^3.85/y - t^4.7/y - t^3.85*y - t^4.7*y | detail | |
| 58519 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 1.4278 | 1.5903 | 0.8978 | [X:[1.4286], M:[0.8285], q:[0.5905, 0.5619], qb:[0.581, 0.5524], phi:[0.2857]] | t^2.49 + t^2.57 + t^3.34 + 2*t^3.43 + t^4.2 + 3*t^4.29 + t^4.37 + t^4.97 + 2*t^5.06 + 3*t^5.14 + t^5.23 + t^5.83 + 2*t^5.91 - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | |
| 58517 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{6}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ | 1.293 | 1.4614 | 0.8848 | [X:[1.3333, 1.3333], M:[0.9724], q:[0.3517, 0.6575], qb:[0.6759, 0.3149], phi:[0.3333]] | 2*t^2.92 + 2*t^3. + t^3.92 + 4*t^4. + t^4.08 + t^4.92 + t^5. + t^5.08 + 4*t^5.83 + 4*t^5.92 + 2*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47897 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4497 | 1.6322 | 0.8882 | [X:[1.3628], M:[0.9023], q:[0.5128, 0.4792], qb:[0.585, 0.5115], phi:[0.3186]] | t^2.707 + t^2.867 + t^2.972 + t^3.073 + t^3.192 + t^3.928 + t^4.029 + t^4.088 + t^4.148 + t^4.249 + t^4.884 + t^4.984 + t^5.104 + t^5.205 + t^5.369 + t^5.414 + t^5.47 + t^5.574 + t^5.679 + t^5.735 + t^5.779 + t^5.839 + t^5.94 + t^5.944 - 3*t^6. - t^3.956/y - t^4.912/y - t^3.956*y - t^4.912*y | detail |