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 |
|---|---|---|---|---|---|---|---|---|---|
| 56079 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}M_{7}$ | 0.6226 | 0.8101 | 0.7686 | [M:[0.9519, 0.7597, 1.1442, 0.8123, 0.9519, 0.8558, 1.1442], q:[0.738, 0.3101], qb:[0.4062, 0.4497], phi:[0.524]] | [M:[[4], [20], [-12], [-26], [4], [12], [-12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}q_{2}^{2}$ | ${}$ | -3 | t^2.149 + 2*t^2.279 + t^2.437 + 2*t^2.856 + 3*t^3.432 + t^3.851 + t^4.009 + t^4.14 + t^4.27 + t^4.297 + 2*t^4.428 + 3*t^4.558 + t^4.586 + 2*t^4.716 + t^4.874 + 2*t^5.005 + 4*t^5.135 + 2*t^5.293 + 2*t^5.581 + 7*t^5.712 + 2*t^5.869 - 3*t^6. + t^6.131 + t^6.158 + 6*t^6.288 + t^6.419 + 2*t^6.446 + 2*t^6.549 + t^6.577 + 4*t^6.707 + t^6.734 + 4*t^6.838 + 7*t^6.865 + 2*t^6.995 + t^7.023 + t^7.126 + 2*t^7.153 + 3*t^7.284 + t^7.311 + 5*t^7.414 + 3*t^7.442 + 2*t^7.572 + t^7.703 + 4*t^7.73 + 3*t^7.86 + 9*t^7.991 + 2*t^8.018 + t^8.121 + 3*t^8.149 - 6*t^8.279 + 3*t^8.306 + 2*t^8.41 + t^8.54 + 9*t^8.568 + 2*t^8.595 + t^8.698 + 4*t^8.725 + 3*t^8.829 - 7*t^8.856 + 2*t^8.883 + 4*t^8.986 - t^4.572/y - t^6.851/y - t^7.009/y + t^7.14/y + t^7.428/y + t^7.558/y + t^7.586/y + (3*t^7.716)/y + t^8.005/y + (5*t^8.135)/y + (3*t^8.293)/y + (3*t^8.581)/y + (7*t^8.712)/y + (3*t^8.869)/y - t^4.572*y - t^6.851*y - t^7.009*y + t^7.14*y + t^7.428*y + t^7.558*y + t^7.586*y + 3*t^7.716*y + t^8.005*y + 5*t^8.135*y + 3*t^8.293*y + 3*t^8.581*y + 7*t^8.712*y + 3*t^8.869*y | t^2.149/g1^18 + 2*g1^20*t^2.279 + t^2.437/g1^26 + 2*g1^4*t^2.856 + (3*t^3.432)/g1^12 + g1^18*t^3.851 + t^4.009/g1^28 + g1^10*t^4.14 + g1^48*t^4.27 + t^4.297/g1^36 + 2*g1^2*t^4.428 + 3*g1^40*t^4.558 + t^4.586/g1^44 + (2*t^4.716)/g1^6 + t^4.874/g1^52 + (2*t^5.005)/g1^14 + 4*g1^24*t^5.135 + (2*t^5.293)/g1^22 + (2*t^5.581)/g1^30 + 7*g1^8*t^5.712 + (2*t^5.869)/g1^38 - 3*t^6. + g1^38*t^6.131 + t^6.158/g1^46 + (6*t^6.288)/g1^8 + g1^30*t^6.419 + (2*t^6.446)/g1^54 + 2*g1^68*t^6.549 + t^6.577/g1^16 + 4*g1^22*t^6.707 + t^6.734/g1^62 + 4*g1^60*t^6.838 + (7*t^6.865)/g1^24 + 2*g1^14*t^6.995 + t^7.023/g1^70 + g1^52*t^7.126 + (2*t^7.153)/g1^32 + 3*g1^6*t^7.284 + t^7.311/g1^78 + 5*g1^44*t^7.414 + (3*t^7.442)/g1^40 + (2*t^7.572)/g1^2 + g1^36*t^7.703 + (4*t^7.73)/g1^48 + (3*t^7.86)/g1^10 + 9*g1^28*t^7.991 + (2*t^8.018)/g1^56 + g1^66*t^8.121 + (3*t^8.149)/g1^18 - 6*g1^20*t^8.279 + (3*t^8.306)/g1^64 + 2*g1^58*t^8.41 + g1^96*t^8.54 + 9*g1^12*t^8.568 + (2*t^8.595)/g1^72 + g1^50*t^8.698 + (4*t^8.725)/g1^34 + 3*g1^88*t^8.829 - 7*g1^4*t^8.856 + (2*t^8.883)/g1^80 + 4*g1^42*t^8.986 - t^4.572/(g1^2*y) - (g1^18*t^6.851)/y - t^7.009/(g1^28*y) + (g1^10*t^7.14)/y + (g1^2*t^7.428)/y + (g1^40*t^7.558)/y + t^7.586/(g1^44*y) + (3*t^7.716)/(g1^6*y) + t^8.005/(g1^14*y) + (5*g1^24*t^8.135)/y + (3*t^8.293)/(g1^22*y) + (3*t^8.581)/(g1^30*y) + (7*g1^8*t^8.712)/y + (3*t^8.869)/(g1^38*y) - (t^4.572*y)/g1^2 - g1^18*t^6.851*y - (t^7.009*y)/g1^28 + g1^10*t^7.14*y + g1^2*t^7.428*y + g1^40*t^7.558*y + (t^7.586*y)/g1^44 + (3*t^7.716*y)/g1^6 + (t^8.005*y)/g1^14 + 5*g1^24*t^8.135*y + (3*t^8.293*y)/g1^22 + (3*t^8.581*y)/g1^30 + 7*g1^8*t^8.712*y + (3*t^8.869*y)/g1^38 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58250 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6429 | 0.8484 | 0.7578 | [M:[0.9528, 0.7642, 1.1415, 0.8065, 0.9528, 0.8585, 1.1415, 0.7122], q:[0.7382, 0.3089], qb:[0.4032, 0.4553], phi:[0.5236]] | 2*t^2.137 + 2*t^2.293 + t^2.419 + 2*t^2.859 + 3*t^3.424 + t^3.99 + t^4.146 + 3*t^4.273 + t^4.303 + 4*t^4.429 + 2*t^4.556 + 3*t^4.585 + 2*t^4.712 + t^4.839 + 4*t^4.995 + 4*t^5.151 + 2*t^5.278 + 5*t^5.561 + 7*t^5.717 + 2*t^5.844 - 4*t^6. - t^4.571/y - t^4.571*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 |
|---|---|---|---|---|---|---|---|---|---|
| 50827 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ | 0.6355 | 0.8324 | 0.7635 | [M:[0.9501, 0.7504, 1.1498, 0.8245, 0.9501, 0.8502], q:[0.7375, 0.3124], qb:[0.4123, 0.438], phi:[0.525]] | t^2.174 + 2*t^2.251 + t^2.474 + t^2.551 + 2*t^2.85 + 2*t^3.449 + t^3.826 + t^4.048 + t^4.126 + t^4.203 + t^4.348 + 2*t^4.425 + 3*t^4.502 + t^4.647 + 3*t^4.725 + 2*t^4.802 + t^4.947 + 3*t^5.024 + 5*t^5.101 + 2*t^5.324 + 2*t^5.401 + t^5.623 + 5*t^5.7 + t^5.923 - t^6. - t^4.575/y - t^4.575*y | detail |