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 |
|---|---|---|---|---|---|---|---|---|---|
| 57332 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 1.455 | 1.6425 | 0.8858 | [X:[1.3409], M:[0.9544], q:[0.5169, 0.4941], qb:[0.4831, 0.5287], phi:[0.3295]] | [X:[[0, 2]], M:[[0, -12]], q:[[-1, 12], [-1, 6]], qb:[[1, -12], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | ${}$ | -2 | t^2.863 + t^2.932 + t^2.966 + t^3. + t^3.068 + t^3.92 + t^3.989 + t^4.023 + t^4.057 + t^4.126 + t^4.909 + t^4.977 + t^5.046 + t^5.114 + t^5.473 + t^5.504 + t^5.572 + t^5.61 + t^5.726 + t^5.795 + t^5.829 + t^5.863 + t^5.897 + 2*t^5.932 + t^5.966 - 2*t^6. + t^6.034 + t^6.462 + t^6.493 + t^6.561 + t^6.599 + t^6.783 + t^6.852 + 2*t^6.886 + 2*t^6.92 + 2*t^6.954 + 2*t^6.989 + 2*t^7.023 + 2*t^7.057 + 2*t^7.091 + t^7.126 + t^7.194 + t^7.314 + t^7.413 - t^7.447 + t^7.45 + t^7.481 - t^7.485 + t^7.55 - t^7.553 - t^7.584 + t^7.587 + t^7.618 + t^7.724 + t^7.772 + 2*t^7.84 + t^7.874 + 3*t^7.909 + t^7.943 + 4*t^7.977 + t^8.011 + 4*t^8.046 + t^8.08 + 3*t^8.114 + 2*t^8.183 + t^8.251 + t^8.439 + t^8.47 + t^8.538 + t^8.576 + t^8.589 + t^8.658 + t^8.692 + t^8.726 + t^8.76 + 2*t^8.795 + 2*t^8.829 - t^8.863 + 4*t^8.897 - 2*t^8.932 + 2*t^8.966 + t^8.966/y^2 - t^3.989/y - t^4.977/y - t^6.852/y - t^6.92/y - t^6.954/y - t^6.989/y - t^7.057/y - t^7.84/y - t^7.909/y - t^7.943/y - t^7.977/y - t^8.046/y + t^8.795/y + t^8.829/y + t^8.863/y + (2*t^8.932)/y - t^3.989*y - t^4.977*y - t^6.852*y - t^6.92*y - t^6.954*y - t^6.989*y - t^7.057*y - t^7.84*y - t^7.909*y - t^7.943*y - t^7.977*y - t^8.046*y + t^8.795*y + t^8.829*y + t^8.863*y + 2*t^8.932*y + t^8.966*y^2 | t^2.863/g2^12 + t^2.932/g2^6 + t^2.966/g2^3 + t^3. + g2^6*t^3.068 + t^3.92/g2^7 + t^3.989/g2 + g2^2*t^4.023 + g2^5*t^4.057 + g2^11*t^4.126 + t^4.909/g2^8 + t^4.977/g2^2 + g2^4*t^5.046 + g2^10*t^5.114 + (g1^3*t^5.473)/g2^25 + (g2^23*t^5.504)/g1^3 + (g2^29*t^5.572)/g1^3 + (g1^3*t^5.61)/g2^13 + t^5.726/g2^24 + t^5.795/g2^18 + t^5.829/g2^15 + t^5.863/g2^12 + t^5.897/g2^9 + (2*t^5.932)/g2^6 + t^5.966/g2^3 - 2*t^6. + g2^3*t^6.034 + (g1^3*t^6.462)/g2^26 + (g2^22*t^6.493)/g1^3 + (g2^28*t^6.561)/g1^3 + (g1^3*t^6.599)/g2^14 + t^6.783/g2^19 + t^6.852/g2^13 + (2*t^6.886)/g2^10 + (2*t^6.92)/g2^7 + (2*t^6.954)/g2^4 + (2*t^6.989)/g2 + 2*g2^2*t^7.023 + 2*g2^5*t^7.057 + 2*g2^8*t^7.091 + g2^11*t^7.126 + g2^17*t^7.194 + (g1^3*t^7.314)/g2^39 + (g2^15*t^7.413)/g1^3 - (g2^18*t^7.447)/g1^3 + (g1^3*t^7.45)/g2^27 + (g2^21*t^7.481)/g1^3 - (g1^3*t^7.485)/g2^24 + (g2^27*t^7.55)/g1^3 - (g1^3*t^7.553)/g2^18 - (g2^30*t^7.584)/g1^3 + (g1^3*t^7.587)/g2^15 + (g2^33*t^7.618)/g1^3 + (g1^3*t^7.724)/g2^3 + t^7.772/g2^20 + (2*t^7.84)/g2^14 + t^7.874/g2^11 + (3*t^7.909)/g2^8 + t^7.943/g2^5 + (4*t^7.977)/g2^2 + g2*t^8.011 + 4*g2^4*t^8.046 + g2^7*t^8.08 + 3*g2^10*t^8.114 + 2*g2^16*t^8.183 + g2^22*t^8.251 + (g1^3*t^8.439)/g2^28 + (g2^20*t^8.47)/g1^3 + (g2^26*t^8.538)/g1^3 + (g1^3*t^8.576)/g2^16 + t^8.589/g2^36 + t^8.658/g2^30 + t^8.692/g2^27 + t^8.726/g2^24 + t^8.76/g2^21 + (2*t^8.795)/g2^18 + (2*t^8.829)/g2^15 - t^8.863/g2^12 + (4*t^8.897)/g2^9 - (2*t^8.932)/g2^6 + (2*t^8.966)/g2^3 + t^8.966/(g2^3*y^2) - t^3.989/(g2*y) - t^4.977/(g2^2*y) - t^6.852/(g2^13*y) - t^6.92/(g2^7*y) - t^6.954/(g2^4*y) - t^6.989/(g2*y) - (g2^5*t^7.057)/y - t^7.84/(g2^14*y) - t^7.909/(g2^8*y) - t^7.943/(g2^5*y) - t^7.977/(g2^2*y) - (g2^4*t^8.046)/y + t^8.795/(g2^18*y) + t^8.829/(g2^15*y) + t^8.863/(g2^12*y) + (2*t^8.932)/(g2^6*y) - (t^3.989*y)/g2 - (t^4.977*y)/g2^2 - (t^6.852*y)/g2^13 - (t^6.92*y)/g2^7 - (t^6.954*y)/g2^4 - (t^6.989*y)/g2 - g2^5*t^7.057*y - (t^7.84*y)/g2^14 - (t^7.909*y)/g2^8 - (t^7.943*y)/g2^5 - (t^7.977*y)/g2^2 - g2^4*t^8.046*y + (t^8.795*y)/g2^18 + (t^8.829*y)/g2^15 + (t^8.863*y)/g2^12 + (2*t^8.932*y)/g2^6 + (t^8.966*y^2)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58089 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.4758 | 1.6839 | 0.8764 | [X:[1.3409], M:[0.9545, 0.6705], q:[0.5169, 0.4941], qb:[0.4831, 0.5287], phi:[0.3295]] | t^2.01 + t^2.86 + t^2.93 + t^2.97 + t^3. + t^3.07 + t^3.92 + 2*t^4.02 + t^4.06 + t^4.13 + t^4.87 + t^4.91 + t^4.94 + 2*t^4.98 + t^5.01 + t^5.05 + t^5.08 + t^5.11 + t^5.47 + t^5.5 + t^5.57 + t^5.61 + t^5.73 + t^5.8 + t^5.83 + t^5.86 + t^5.9 + 3*t^5.93 + t^5.97 - 2*t^6. - t^3.99/y - t^4.98/y - t^6./y - t^3.99*y - t^4.98*y - t^6.*y | detail | |
| 58088 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4757 | 1.6825 | 0.8771 | [X:[1.3402], M:[0.9586, 0.6908], q:[0.5154, 0.4947], qb:[0.4846, 0.526], phi:[0.3299]] | t^2.07 + t^2.88 + t^2.94 + t^2.97 + t^3. + t^3.06 + t^3.99 + t^4.02 + t^4.05 + t^4.11 + t^4.14 + t^4.92 + t^4.95 + t^4.98 + t^5.01 + 2*t^5.04 + t^5.07 + t^5.1 + t^5.13 + t^5.48 + t^5.5 + t^5.57 + t^5.6 + t^5.75 + t^5.81 + t^5.84 + t^5.88 + t^5.91 + 2*t^5.94 + t^5.97 - 2*t^6. - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*y | detail | |
| 58087 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4535 | 1.6404 | 0.8861 | [X:[1.3366], M:[0.9804, 1.0098], q:[0.5073, 0.4975], qb:[0.4927, 0.5123], phi:[0.3317]] | t^2.94 + t^2.99 + t^3. + 2*t^3.03 + t^3.97 + t^4. + t^4.01 + t^4.02 + t^4.05 + t^4.96 + t^4.99 + t^5.02 + t^5.05 + t^5.49 + t^5.5 + t^5.53 + t^5.55 + t^5.88 + t^5.93 + 2*t^5.97 + t^5.99 - 3*t^6. - t^4./y - t^4.99/y - t^4.*y - t^4.99*y | detail | |
| 58084 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.4398 | 1.6273 | 0.8848 | [X:[1.3415], M:[0.9509], q:[0.5733, 0.5487], qb:[0.4267, 0.4758], phi:[0.3292]] | t^2.85 + t^2.93 + t^2.96 + t^3. + t^3.07 + t^3.91 + t^3.99 + t^4.02 + t^4.06 + t^4.14 + t^4.9 + 2*t^4.98 + t^5.05 + 2*t^5.12 + t^5.71 + t^5.78 + t^5.82 + t^5.85 + t^5.89 + 2*t^5.93 + 2*t^5.96 - t^6. - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*y | detail | |
| 58085 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.4453 | 1.6328 | 0.8852 | [X:[1.3473], M:[0.9163], q:[0.5718, 0.53], qb:[0.4282, 0.5119], phi:[0.3264]] | t^2.75 + t^2.87 + t^2.94 + t^3. + t^3.13 + t^3.85 + t^3.98 + t^4.04 + t^4.1 + t^4.23 + t^4.83 + t^4.96 + 2*t^5.08 + t^5.21 + t^5.33 + t^5.5 + t^5.62 + t^5.69 + t^5.75 + t^5.81 + 3*t^5.87 + t^5.94 - t^6. - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*y | detail | |
| 58083 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4381 | 1.6256 | 0.8847 | [X:[1.3379], M:[0.9726], q:[0.4528, 0.4391], qb:[0.5472, 0.5746], phi:[0.3311]] | t^2.92 + t^2.96 + t^2.98 + t^3. + t^3.04 + t^3.95 + t^3.99 + t^4.01 + t^4.03 + t^4.08 + t^4.95 + 2*t^4.99 + 2*t^5.03 + t^5.07 + t^5.84 + t^5.88 + t^5.9 + t^5.92 + t^5.94 + 2*t^5.96 + 2*t^5.98 - t^6. - t^3.99/y - t^4.99/y - t^3.99*y - t^4.99*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47883 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4532 | 1.6411 | 0.8855 | [X:[1.3322], q:[0.4975, 0.5008], qb:[0.5025, 0.4959], phi:[0.3339]] | t^2.98 + t^2.99 + t^3. + t^3.005 + t^3.01 + t^3.982 + t^3.992 + t^3.997 + t^4.002 + t^4.011 + t^4.984 + t^4.993 + t^5.003 + t^5.013 + t^5.484 + t^5.489 + t^5.499 + t^5.504 + t^5.961 + t^5.971 + t^5.98 + t^5.985 + t^5.99 + t^5.995 - 2*t^6. - t^4.002/y - t^5.003/y - t^4.002*y - t^5.003*y | detail |