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 |
|---|---|---|---|---|---|---|---|---|---|
| 4734 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6786 | 0.8555 | 0.7932 | [M:[1.0754, 0.8114, 1.0566, 0.8302, 1.1698, 0.6981, 0.8302, 1.0566], q:[0.5189, 0.4057], qb:[0.4245, 0.7642], phi:[0.4717]] | [M:[[-30], [22], [4], [-12], [12], [14], [-12], [4]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{8}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.094 + t^2.434 + 2*t^2.49 + 2*t^3.17 + t^3.226 + 2*t^3.849 + t^3.962 + 2*t^4.189 + t^4.245 + 2*t^4.529 + 2*t^4.585 + t^4.868 + 2*t^4.925 + 3*t^4.981 + 2*t^5.264 + t^5.321 + 2*t^5.604 + 4*t^5.66 + t^5.717 + t^5.944 - 3*t^6. + 3*t^6.283 + 5*t^6.34 + 2*t^6.396 + 3*t^6.452 + 3*t^6.623 + 3*t^6.679 + 2*t^6.963 + 5*t^7.019 + 2*t^7.075 + t^7.188 + t^7.302 + 4*t^7.359 + 3*t^7.415 + 3*t^7.471 + 4*t^7.698 + 2*t^7.755 + t^7.811 + t^7.924 + 4*t^8.038 + 4*t^8.151 + 2*t^8.207 + 4*t^8.378 - t^8.434 - 4*t^8.49 + t^8.547 + 5*t^8.717 + 6*t^8.774 + 6*t^8.83 + 3*t^8.887 + 4*t^8.943 - t^4.415/y - t^6.51/y - t^6.849/y - t^6.906/y + t^7.189/y + t^7.245/y + t^7.529/y + t^7.585/y - t^7.641/y + (3*t^7.925)/y + (2*t^7.981)/y + (2*t^8.264)/y + (2*t^8.321)/y + t^8.604/y + (5*t^8.66)/y + (2*t^8.717)/y + t^8.944/y - t^4.415*y - t^6.51*y - t^6.849*y - t^6.906*y + t^7.189*y + t^7.245*y + t^7.529*y + t^7.585*y - t^7.641*y + 3*t^7.925*y + 2*t^7.981*y + 2*t^8.264*y + 2*t^8.321*y + t^8.604*y + 5*t^8.66*y + 2*t^8.717*y + t^8.944*y | g1^14*t^2.094 + g1^22*t^2.434 + (2*t^2.49)/g1^12 + 2*g1^4*t^3.17 + t^3.226/g1^30 + 2*g1^20*t^3.849 + t^3.962/g1^48 + 2*g1^28*t^4.189 + t^4.245/g1^6 + 2*g1^36*t^4.529 + 2*g1^2*t^4.585 + g1^44*t^4.868 + 2*g1^10*t^4.925 + (3*t^4.981)/g1^24 + 2*g1^18*t^5.264 + t^5.321/g1^16 + 2*g1^26*t^5.604 + (4*t^5.66)/g1^8 + t^5.717/g1^42 + g1^34*t^5.944 - 3*t^6. + 3*g1^42*t^6.283 + 5*g1^8*t^6.34 + (2*t^6.396)/g1^26 + (3*t^6.452)/g1^60 + 3*g1^50*t^6.623 + 3*g1^16*t^6.679 + 2*g1^58*t^6.963 + 5*g1^24*t^7.019 + (2*t^7.075)/g1^10 + t^7.188/g1^78 + g1^66*t^7.302 + 4*g1^32*t^7.359 + (3*t^7.415)/g1^2 + (3*t^7.471)/g1^36 + 4*g1^40*t^7.698 + 2*g1^6*t^7.755 + t^7.811/g1^28 + t^7.924/g1^96 + 4*g1^48*t^8.038 + (4*t^8.151)/g1^20 + (2*t^8.207)/g1^54 + 4*g1^56*t^8.378 - g1^22*t^8.434 - (4*t^8.49)/g1^12 + t^8.547/g1^46 + 5*g1^64*t^8.717 + 6*g1^30*t^8.774 + (6*t^8.83)/g1^4 + (3*t^8.887)/g1^38 + (4*t^8.943)/g1^72 - t^4.415/(g1^2*y) - (g1^12*t^6.51)/y - (g1^20*t^6.849)/y - t^6.906/(g1^14*y) + (g1^28*t^7.189)/y + t^7.245/(g1^6*y) + (g1^36*t^7.529)/y + (g1^2*t^7.585)/y - t^7.641/(g1^32*y) + (3*g1^10*t^7.925)/y + (2*t^7.981)/(g1^24*y) + (2*g1^18*t^8.264)/y + (2*t^8.321)/(g1^16*y) + (g1^26*t^8.604)/y + (5*t^8.66)/(g1^8*y) + (2*t^8.717)/(g1^42*y) + (g1^34*t^8.944)/y - (t^4.415*y)/g1^2 - g1^12*t^6.51*y - g1^20*t^6.849*y - (t^6.906*y)/g1^14 + g1^28*t^7.189*y + (t^7.245*y)/g1^6 + g1^36*t^7.529*y + g1^2*t^7.585*y - (t^7.641*y)/g1^32 + 3*g1^10*t^7.925*y + (2*t^7.981*y)/g1^24 + 2*g1^18*t^8.264*y + (2*t^8.321*y)/g1^16 + g1^26*t^8.604*y + (5*t^8.66*y)/g1^8 + (2*t^8.717*y)/g1^42 + g1^34*t^8.944*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 6318 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{4}M_{9}$ | 0.6642 | 0.8311 | 0.7992 | [M:[1.0879, 0.8022, 1.0549, 0.8352, 1.1648, 0.6923, 0.8352, 1.0549, 1.1648], q:[0.511, 0.4011], qb:[0.4341, 0.7637], phi:[0.4725]] | t^2.077 + t^2.407 + t^2.506 + 2*t^3.165 + t^3.264 + t^3.494 + 2*t^3.824 + t^4.022 + 2*t^4.154 + t^4.253 + 2*t^4.483 + t^4.582 + t^4.813 + t^4.912 + t^5.011 + 2*t^5.242 + t^5.341 + 3*t^5.571 + 2*t^5.67 + 2*t^5.901 - 2*t^6. - t^4.418/y - t^4.418*y | detail | |
| 6319 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.6988 | 0.8935 | 0.7821 | [M:[1.0684, 0.8165, 1.0575, 0.8274, 1.1726, 0.7014, 0.8274, 1.0575, 0.7123], q:[0.5233, 0.4082], qb:[0.4191, 0.7644], phi:[0.4712]] | t^2.104 + t^2.137 + t^2.449 + 2*t^2.482 + 2*t^3.173 + t^3.205 + t^3.863 + t^3.928 + 2*t^4.208 + 2*t^4.241 + t^4.274 + 2*t^4.554 + 3*t^4.586 + 2*t^4.619 + t^4.899 + 2*t^4.932 + 3*t^4.964 + 2*t^5.277 + 3*t^5.309 + t^5.342 + 2*t^5.622 + 4*t^5.655 + t^5.687 - 2*t^6. - t^4.414/y - t^4.414*y | detail | |
| 6320 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6994 | 0.8967 | 0.78 | [M:[1.0785, 0.8091, 1.0562, 0.8314, 1.1686, 0.6967, 0.8314, 1.0562, 0.6745], q:[0.517, 0.4046], qb:[0.4268, 0.7641], phi:[0.4719]] | t^2.023 + t^2.09 + t^2.427 + 2*t^2.494 + 2*t^3.169 + t^3.235 + 2*t^3.843 + t^4.047 + t^4.114 + 2*t^4.18 + t^4.247 + t^4.451 + 4*t^4.518 + 2*t^4.584 + t^4.855 + 2*t^4.922 + 3*t^4.988 + 2*t^5.192 + 3*t^5.259 + t^5.326 + 2*t^5.596 + 4*t^5.663 + t^5.73 + 2*t^5.866 + t^5.933 - 3*t^6. - t^4.416/y - t^4.416*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2620 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.6839 | 0.8642 | 0.7913 | [M:[1.0701, 0.8153, 1.0573, 0.828, 1.172, 0.7006, 0.828], q:[0.5223, 0.4076], qb:[0.4204, 0.7643], phi:[0.4713]] | t^2.102 + t^2.446 + 2*t^2.484 + t^2.828 + t^3.172 + t^3.21 + 2*t^3.86 + t^3.936 + 2*t^4.204 + t^4.242 + 2*t^4.548 + 2*t^4.586 + t^4.892 + 3*t^4.93 + 3*t^4.968 + 2*t^5.274 + 3*t^5.312 + t^5.618 + 3*t^5.656 + t^5.694 + t^5.962 - 2*t^6. - t^4.414/y - t^4.414*y | detail |