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 |
|---|---|---|---|---|---|---|---|---|---|
| 2484 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{1}M_{7}$ | 0.7002 | 0.8623 | 0.8121 | [M:[1.0338, 0.9325, 1.0675, 0.8987, 1.0, 0.9662, 0.9662], q:[0.4494, 0.5169], qb:[0.4831, 0.5844], phi:[0.4916]] | [M:[[4], [-8], [8], [-12], [0], [-4], [-4]], q:[[-6], [2]], qb:[[-2], [10]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.696 + t^2.797 + 2*t^2.899 + t^2.949 + t^3. + t^3.203 + t^4.171 + t^4.272 + 2*t^4.373 + t^4.475 + 2*t^4.576 + t^4.677 + t^4.779 + t^4.981 + t^5.392 + t^5.494 + 2*t^5.595 + t^5.646 + 2*t^5.696 + t^5.747 + 2*t^5.797 + 2*t^5.848 + 2*t^5.899 + t^5.949 - 2*t^6. - t^6.101 + t^6.152 - t^6.203 - t^6.304 + t^6.867 + 2*t^6.968 + 4*t^7.07 + t^7.12 + 4*t^7.171 + 5*t^7.272 + t^7.323 + 4*t^7.373 - t^7.424 + 3*t^7.475 + t^7.525 + 2*t^7.576 - t^7.627 + t^7.677 + t^7.779 - t^7.829 + t^7.88 + t^7.93 + t^7.981 - t^8.032 + t^8.088 + t^8.184 + t^8.19 + 2*t^8.291 + 2*t^8.342 + 2*t^8.392 + 2*t^8.443 + 2*t^8.494 + 4*t^8.544 + 2*t^8.595 + 4*t^8.646 - t^8.696 + 6*t^8.747 - 3*t^8.797 + 5*t^8.848 - 7*t^8.899 + 2*t^8.949 - t^4.475/y - t^7.171/y - t^7.373/y - t^7.424/y + t^7.525/y + t^7.576/y + t^7.779/y + t^8.494/y + (2*t^8.595)/y + t^8.646/y + (3*t^8.696)/y + t^8.747/y + (2*t^8.797)/y + (2*t^8.848)/y + (3*t^8.899)/y + t^8.949/y - t^4.475*y - t^7.171*y - t^7.373*y - t^7.424*y + t^7.525*y + t^7.576*y + t^7.779*y + t^8.494*y + 2*t^8.595*y + t^8.646*y + 3*t^8.696*y + t^8.747*y + 2*t^8.797*y + 2*t^8.848*y + 3*t^8.899*y + t^8.949*y | t^2.696/g1^12 + t^2.797/g1^8 + (2*t^2.899)/g1^4 + t^2.949/g1^2 + t^3. + g1^8*t^3.203 + t^4.171/g1^13 + t^4.272/g1^9 + (2*t^4.373)/g1^5 + t^4.475/g1 + 2*g1^3*t^4.576 + g1^7*t^4.677 + g1^11*t^4.779 + g1^19*t^4.981 + t^5.392/g1^24 + t^5.494/g1^20 + (2*t^5.595)/g1^16 + t^5.646/g1^14 + (2*t^5.696)/g1^12 + t^5.747/g1^10 + (2*t^5.797)/g1^8 + (2*t^5.848)/g1^6 + (2*t^5.899)/g1^4 + t^5.949/g1^2 - 2*t^6. - g1^4*t^6.101 + g1^6*t^6.152 - g1^8*t^6.203 - g1^12*t^6.304 + t^6.867/g1^25 + (2*t^6.968)/g1^21 + (4*t^7.07)/g1^17 + t^7.12/g1^15 + (4*t^7.171)/g1^13 + (5*t^7.272)/g1^9 + t^7.323/g1^7 + (4*t^7.373)/g1^5 - t^7.424/g1^3 + (3*t^7.475)/g1 + g1*t^7.525 + 2*g1^3*t^7.576 - g1^5*t^7.627 + g1^7*t^7.677 + g1^11*t^7.779 - g1^13*t^7.829 + g1^15*t^7.88 + g1^17*t^7.93 + g1^19*t^7.981 - g1^21*t^8.032 + t^8.088/g1^36 + g1^27*t^8.184 + t^8.19/g1^32 + (2*t^8.291)/g1^28 + (2*t^8.342)/g1^26 + (2*t^8.392)/g1^24 + (2*t^8.443)/g1^22 + (2*t^8.494)/g1^20 + (4*t^8.544)/g1^18 + (2*t^8.595)/g1^16 + (4*t^8.646)/g1^14 - t^8.696/g1^12 + (6*t^8.747)/g1^10 - (3*t^8.797)/g1^8 + (5*t^8.848)/g1^6 - (7*t^8.899)/g1^4 + (2*t^8.949)/g1^2 - t^4.475/(g1*y) - t^7.171/(g1^13*y) - t^7.373/(g1^5*y) - t^7.424/(g1^3*y) + (g1*t^7.525)/y + (g1^3*t^7.576)/y + (g1^11*t^7.779)/y + t^8.494/(g1^20*y) + (2*t^8.595)/(g1^16*y) + t^8.646/(g1^14*y) + (3*t^8.696)/(g1^12*y) + t^8.747/(g1^10*y) + (2*t^8.797)/(g1^8*y) + (2*t^8.848)/(g1^6*y) + (3*t^8.899)/(g1^4*y) + t^8.949/(g1^2*y) - (t^4.475*y)/g1 - (t^7.171*y)/g1^13 - (t^7.373*y)/g1^5 - (t^7.424*y)/g1^3 + g1*t^7.525*y + g1^3*t^7.576*y + g1^11*t^7.779*y + (t^8.494*y)/g1^20 + (2*t^8.595*y)/g1^16 + (t^8.646*y)/g1^14 + (3*t^8.696*y)/g1^12 + (t^8.747*y)/g1^10 + (2*t^8.797*y)/g1^8 + (2*t^8.848*y)/g1^6 + (3*t^8.899*y)/g1^4 + (t^8.949*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4537 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6951 | 0.8523 | 0.8155 | [M:[1.0219, 0.9562, 1.0438, 0.9344, 1.0, 0.9781, 0.9781, 1.0438], q:[0.4672, 0.5109], qb:[0.4891, 0.5547], phi:[0.4945]] | t^2.803 + 2*t^2.934 + t^2.967 + t^3. + 2*t^3.131 + t^4.287 + t^4.352 + 2*t^4.418 + t^4.484 + 2*t^4.549 + t^4.615 + t^4.681 + t^4.812 + t^5.606 + t^5.737 + t^5.77 + t^5.869 + 2*t^5.902 + 3*t^5.934 + t^5.967 - 3*t^6. - t^4.484/y - t^4.484*y | detail | |
| 4538 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{3}M_{8}$ | 0.7075 | 0.8771 | 0.8066 | [M:[1.0449, 0.9102, 1.0898, 0.8652, 1.0, 0.9551, 0.9551, 0.9102], q:[0.4326, 0.5225], qb:[0.4775, 0.6123], phi:[0.4888]] | t^2.596 + 2*t^2.73 + 2*t^2.865 + t^2.933 + t^3. + t^4.062 + t^4.197 + 2*t^4.332 + t^4.466 + 2*t^4.601 + t^4.736 + t^4.871 + t^5.14 + t^5.191 + 2*t^5.326 + 4*t^5.461 + t^5.528 + 4*t^5.596 + 2*t^5.663 + 3*t^5.73 + 2*t^5.798 + t^5.865 + t^5.933 - 3*t^6. - t^4.466/y - t^4.466*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1423 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6974 | 0.8566 | 0.8141 | [M:[1.0278, 0.9445, 1.0555, 0.9167, 1.0, 0.9722], q:[0.4584, 0.5139], qb:[0.4861, 0.5694], phi:[0.4931]] | t^2.75 + t^2.833 + t^2.917 + t^2.958 + t^3. + t^3.083 + t^3.167 + t^4.229 + t^4.313 + 2*t^4.396 + t^4.479 + 2*t^4.562 + t^4.646 + t^4.729 + t^4.896 + t^5.5 + t^5.584 + t^5.667 + t^5.708 + t^5.75 + t^5.792 + t^5.833 + t^5.875 + 2*t^5.917 + t^5.958 - t^6. - t^4.479/y - t^4.479*y | detail |