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 |
|---|---|---|---|---|---|---|---|---|---|
| 46898 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.7086 | 0.8735 | 0.8112 | [M:[0.9207, 1.0793, 1.0, 0.8413, 0.9207], q:[0.4603, 0.619], qb:[0.4603, 0.5397], phi:[0.4802]] | [M:[[-4], [4], [0], [-8], [-4]], q:[[-2], [6]], qb:[[-2], [2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | -1 | t^2.524 + 2*t^2.762 + t^2.881 + 2*t^3. + t^3.238 + 3*t^4.202 + 2*t^4.44 + 3*t^4.679 + t^4.917 + t^5.048 + t^5.155 + 2*t^5.286 + t^5.405 + 3*t^5.524 + 2*t^5.643 + 3*t^5.762 + 2*t^5.881 - t^6. + t^6.119 - 2*t^6.238 - t^6.476 + 3*t^6.726 + 6*t^6.964 + 3*t^7.083 + 8*t^7.202 - t^7.321 + 6*t^7.44 + t^7.56 + t^7.572 + 3*t^7.679 - 2*t^7.798 + 2*t^7.81 + 2*t^7.917 + t^7.929 + 3*t^8.048 + t^8.155 + 2*t^8.167 - t^8.274 + 4*t^8.286 + t^8.393 + 8*t^8.405 - t^8.524 + 7*t^8.643 - 7*t^8.762 + 6*t^8.881 - t^4.44/y - t^6.964/y - t^7.202/y - t^7.321/y + t^7.56/y + t^7.679/y + t^7.917/y + (2*t^8.286)/y + t^8.405/y + (3*t^8.524)/y + (2*t^8.643)/y + (5*t^8.762)/y + (2*t^8.881)/y - t^4.44*y - t^6.964*y - t^7.202*y - t^7.321*y + t^7.56*y + t^7.679*y + t^7.917*y + 2*t^8.286*y + t^8.405*y + 3*t^8.524*y + 2*t^8.643*y + 5*t^8.762*y + 2*t^8.881*y | t^2.524/g1^8 + (2*t^2.762)/g1^4 + t^2.881/g1^2 + 2*t^3. + g1^4*t^3.238 + (3*t^4.202)/g1^5 + (2*t^4.44)/g1 + 3*g1^3*t^4.679 + g1^7*t^4.917 + t^5.048/g1^16 + g1^11*t^5.155 + (2*t^5.286)/g1^12 + t^5.405/g1^10 + (3*t^5.524)/g1^8 + (2*t^5.643)/g1^6 + (3*t^5.762)/g1^4 + (2*t^5.881)/g1^2 - t^6. + g1^2*t^6.119 - 2*g1^4*t^6.238 - g1^8*t^6.476 + (3*t^6.726)/g1^13 + (6*t^6.964)/g1^9 + (3*t^7.083)/g1^7 + (8*t^7.202)/g1^5 - t^7.321/g1^3 + (6*t^7.44)/g1 + g1*t^7.56 + t^7.572/g1^24 + 3*g1^3*t^7.679 - 2*g1^5*t^7.798 + (2*t^7.81)/g1^20 + 2*g1^7*t^7.917 + t^7.929/g1^18 + (3*t^8.048)/g1^16 + g1^11*t^8.155 + (2*t^8.167)/g1^14 - g1^13*t^8.274 + (4*t^8.286)/g1^12 + g1^15*t^8.393 + (8*t^8.405)/g1^10 - t^8.524/g1^8 + (7*t^8.643)/g1^6 - (7*t^8.762)/g1^4 + (6*t^8.881)/g1^2 - t^4.44/(g1*y) - t^6.964/(g1^9*y) - t^7.202/(g1^5*y) - t^7.321/(g1^3*y) + (g1*t^7.56)/y + (g1^3*t^7.679)/y + (g1^7*t^7.917)/y + (2*t^8.286)/(g1^12*y) + t^8.405/(g1^10*y) + (3*t^8.524)/(g1^8*y) + (2*t^8.643)/(g1^6*y) + (5*t^8.762)/(g1^4*y) + (2*t^8.881)/(g1^2*y) - (t^4.44*y)/g1 - (t^6.964*y)/g1^9 - (t^7.202*y)/g1^5 - (t^7.321*y)/g1^3 + g1*t^7.56*y + g1^3*t^7.679*y + g1^7*t^7.917*y + (2*t^8.286*y)/g1^12 + (t^8.405*y)/g1^10 + (3*t^8.524*y)/g1^8 + (2*t^8.643*y)/g1^6 + (5*t^8.762*y)/g1^4 + (2*t^8.881*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 |
|---|---|---|---|---|---|---|---|---|
| 55276 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.705 | 0.8668 | 0.8134 | [M:[0.929, 1.071, 1.0, 0.858, 0.929, 1.0355], q:[0.4645, 0.6065], qb:[0.4645, 0.5355], phi:[0.4823]] | t^2.574 + 2*t^2.787 + 2*t^3. + t^3.106 + t^3.213 + 3*t^4.234 + 2*t^4.447 + 3*t^4.66 + t^4.873 + t^5.086 + t^5.148 + 2*t^5.361 + 3*t^5.574 + t^5.681 + 2*t^5.787 + 2*t^5.894 - t^6. - t^4.447/y - t^4.447*y | detail | |
| 52956 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7165 | 0.8891 | 0.8059 | [M:[0.9053, 1.0947, 1.0, 0.8105, 0.9053, 0.9053], q:[0.4526, 0.6421], qb:[0.4526, 0.5474], phi:[0.4763]] | t^2.432 + 3*t^2.716 + t^2.858 + 2*t^3. + 3*t^4.145 + 2*t^4.429 + 3*t^4.713 + t^4.863 + t^4.997 + 3*t^5.147 + t^5.282 + t^5.289 + 6*t^5.432 + 3*t^5.574 + 4*t^5.716 + 2*t^5.858 - 3*t^6. - t^4.429/y - t^4.429*y | detail | |
| 55156 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.658 | 0.8114 | 0.8109 | [X:[1.3636], M:[0.8182, 1.1818, 1.0, 0.6364, 0.8182], q:[0.4091, 0.7727], qb:[0.4091, 0.5909], phi:[0.4545]] | 2*t^2.455 + t^2.727 + 2*t^3. + t^3.545 + 3*t^3.818 + t^4.091 + 2*t^4.364 + 4*t^4.909 + 2*t^5.182 + 3*t^5.455 + 2*t^5.727 - t^4.364/y - t^4.364*y | detail | {a: 14013/21296, c: 1080/1331, X1: 15/11, M1: 9/11, M2: 13/11, M3: 1, M4: 7/11, M5: 9/11, q1: 9/22, q2: 17/22, qb1: 9/22, qb2: 13/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46774 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{5}$ | 0.7096 | 0.8749 | 0.811 | [M:[0.9169, 1.0831, 1.0, 0.8338, 0.9169], q:[0.4765, 0.6066], qb:[0.4404, 0.5596], phi:[0.4792]] | t^2.501 + 2*t^2.751 + t^2.875 + t^3. + t^3.108 + t^3.141 + t^4.08 + t^4.188 + t^4.297 + t^4.438 + t^4.546 + t^4.579 + t^4.687 + t^4.795 + t^4.936 + t^5.003 + t^5.077 + 2*t^5.252 + t^5.377 + 3*t^5.501 + 2*t^5.626 + 2*t^5.751 + t^5.859 + t^5.875 + t^5.892 + t^5.984 - 3*t^6. - t^4.438/y - t^4.438*y | detail |