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 |
|---|---|---|---|---|---|---|---|---|---|
| 2174 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6864 | 0.8636 | 0.7948 | [M:[0.9824, 1.0823, 1.1471, 0.8529, 0.7882, 0.9177, 0.6882], q:[0.7706, 0.5412], qb:[0.4764, 0.3765], phi:[0.4588]] | [M:[[13], [-4], [5], [-5], [-14], [4], [3]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$ | ${}M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.065 + t^2.365 + t^2.559 + 2*t^2.753 + t^2.947 + t^3.441 + t^3.741 + t^3.935 + 2*t^4.129 + t^4.235 + 2*t^4.429 + 2*t^4.624 + t^4.729 + 2*t^4.818 + t^4.923 + t^5.012 + 3*t^5.118 + 3*t^5.312 + 4*t^5.506 + t^5.7 + t^5.806 + t^5.894 - t^6. + t^6.106 + 2*t^6.194 + 2*t^6.3 + t^6.388 + 3*t^6.494 + t^6.6 + 3*t^6.688 + 3*t^6.794 + 3*t^6.882 + 4*t^6.988 + t^7.077 + t^7.094 + 4*t^7.182 + t^7.288 + 3*t^7.376 + 3*t^7.482 + 4*t^7.571 + 3*t^7.676 + t^7.765 + 4*t^7.871 + t^7.959 + t^7.976 + 2*t^8.065 + 2*t^8.17 + 6*t^8.259 - t^8.365 + 2*t^8.453 + 2*t^8.47 - t^8.559 + t^8.647 + 3*t^8.664 - t^8.753 + t^8.842 + 5*t^8.859 + t^8.964 - t^4.376/y - t^6.441/y - t^6.741/y - t^7.129/y - t^7.324/y + (2*t^7.429)/y + (2*t^7.624)/y + (2*t^7.818)/y + t^7.923/y + (2*t^8.012)/y + (2*t^8.118)/y + (4*t^8.312)/y + (2*t^8.506)/y + (2*t^8.7)/y + t^8.806/y - t^4.376*y - t^6.441*y - t^6.741*y - t^7.129*y - t^7.324*y + 2*t^7.429*y + 2*t^7.624*y + 2*t^7.818*y + t^7.923*y + 2*t^8.012*y + 2*t^8.118*y + 4*t^8.312*y + 2*t^8.506*y + 2*t^8.7*y + t^8.806*y | g1^3*t^2.065 + t^2.365/g1^14 + t^2.559/g1^5 + 2*g1^4*t^2.753 + g1^13*t^2.947 + g1^5*t^3.441 + t^3.741/g1^12 + t^3.935/g1^3 + 2*g1^6*t^4.129 + t^4.235/g1^20 + (2*t^4.429)/g1^11 + (2*t^4.624)/g1^2 + t^4.729/g1^28 + 2*g1^7*t^4.818 + t^4.923/g1^19 + g1^16*t^5.012 + (3*t^5.118)/g1^10 + (3*t^5.312)/g1 + 4*g1^8*t^5.506 + g1^17*t^5.7 + t^5.806/g1^9 + g1^26*t^5.894 - t^6. + t^6.106/g1^26 + 2*g1^9*t^6.194 + (2*t^6.3)/g1^17 + g1^18*t^6.388 + (3*t^6.494)/g1^8 + t^6.6/g1^34 + 3*g1*t^6.688 + (3*t^6.794)/g1^25 + 3*g1^10*t^6.882 + (4*t^6.988)/g1^16 + g1^19*t^7.077 + t^7.094/g1^42 + (4*t^7.182)/g1^7 + t^7.288/g1^33 + 3*g1^2*t^7.376 + (3*t^7.482)/g1^24 + 4*g1^11*t^7.571 + (3*t^7.676)/g1^15 + g1^20*t^7.765 + (4*t^7.871)/g1^6 + g1^29*t^7.959 + t^7.976/g1^32 + 2*g1^3*t^8.065 + (2*t^8.17)/g1^23 + 6*g1^12*t^8.259 - t^8.365/g1^14 + 2*g1^21*t^8.453 + (2*t^8.47)/g1^40 - t^8.559/g1^5 + g1^30*t^8.647 + (3*t^8.664)/g1^31 - g1^4*t^8.753 + g1^39*t^8.842 + (5*t^8.859)/g1^22 + t^8.964/g1^48 - (g1^2*t^4.376)/y - (g1^5*t^6.441)/y - t^6.741/(g1^12*y) - (g1^6*t^7.129)/y - (g1^15*t^7.324)/y + (2*t^7.429)/(g1^11*y) + (2*t^7.624)/(g1^2*y) + (2*g1^7*t^7.818)/y + t^7.923/(g1^19*y) + (2*g1^16*t^8.012)/y + (2*t^8.118)/(g1^10*y) + (4*t^8.312)/(g1*y) + (2*g1^8*t^8.506)/y + (2*g1^17*t^8.7)/y + t^8.806/(g1^9*y) - g1^2*t^4.376*y - g1^5*t^6.441*y - (t^6.741*y)/g1^12 - g1^6*t^7.129*y - g1^15*t^7.324*y + (2*t^7.429*y)/g1^11 + (2*t^7.624*y)/g1^2 + 2*g1^7*t^7.818*y + (t^7.923*y)/g1^19 + 2*g1^16*t^8.012*y + (2*t^8.118*y)/g1^10 + (4*t^8.312*y)/g1 + 2*g1^8*t^8.506*y + 2*g1^17*t^8.7*y + (t^8.806*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4156 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{3}M_{8}$ | 0.6995 | 0.8867 | 0.7889 | [M:[0.9948, 1.0785, 1.1519, 0.8481, 0.7748, 0.9215, 0.6911, 0.8481], q:[0.7696, 0.5393], qb:[0.4659, 0.3822], phi:[0.4607]] | t^2.073 + t^2.324 + 2*t^2.544 + 2*t^2.764 + t^2.984 + t^3.707 + t^3.927 + 2*t^4.147 + t^4.178 + 2*t^4.398 + 3*t^4.618 + t^4.649 + 2*t^4.838 + 2*t^4.869 + t^5.058 + 5*t^5.089 + 5*t^5.309 + 4*t^5.529 + t^5.749 + t^5.969 - 2*t^6. - t^4.382/y - t^4.382*y | detail | |
| 4155 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7071 | 0.9038 | 0.7824 | [M:[0.9812, 1.0827, 1.1466, 0.8534, 0.7894, 0.9173, 0.688, 0.688], q:[0.7707, 0.5413], qb:[0.4774, 0.376], phi:[0.4587]] | 2*t^2.064 + t^2.368 + t^2.56 + 2*t^2.752 + t^2.944 + t^3.44 + t^3.744 + 4*t^4.128 + t^4.24 + 3*t^4.432 + 3*t^4.624 + t^4.737 + 4*t^4.816 + t^4.928 + 2*t^5.008 + 3*t^5.12 + 3*t^5.312 + 5*t^5.504 + t^5.696 + 2*t^5.808 + t^5.887 - 2*t^6. - t^4.376/y - t^4.376*y | detail | |
| 4157 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 0.7056 | 0.8986 | 0.7853 | [M:[0.9676, 1.0869, 1.1414, 0.8586, 0.8041, 0.9131, 0.6848, 0.7394], q:[0.7717, 0.5434], qb:[0.4889, 0.3697], phi:[0.4566]] | t^2.055 + t^2.218 + t^2.412 + t^2.576 + 2*t^2.739 + t^2.903 + t^3.424 + t^3.945 + 2*t^4.109 + t^4.273 + t^4.303 + t^4.436 + 2*t^4.467 + 3*t^4.63 + 3*t^4.794 + t^4.824 + 3*t^4.957 + t^4.988 + t^5.121 + 3*t^5.152 + 3*t^5.315 + 4*t^5.479 + 2*t^5.642 + t^5.806 - t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1146 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$ | 0.6657 | 0.8235 | 0.8084 | [M:[0.9836, 1.082, 1.1475, 0.8525, 0.7869, 0.918], q:[0.7705, 0.541], qb:[0.4754, 0.3771], phi:[0.459]] | t^2.361 + t^2.557 + 2*t^2.754 + t^2.951 + t^3.443 + t^3.738 + 2*t^3.934 + t^4.131 + t^4.229 + t^4.426 + t^4.623 + t^4.721 + t^4.918 + 3*t^5.115 + 3*t^5.311 + 3*t^5.508 + t^5.705 + t^5.902 - 2*t^6. - t^4.377/y - t^4.377*y | detail |