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 |
|---|---|---|---|---|---|---|---|---|---|
| 114 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6281 | 0.7586 | 0.8281 | [M:[0.7009, 1.2889, 0.7009], q:[0.8375, 0.807], qb:[0.4616, 0.4718], phi:[0.3555]] | [M:[[1, -4, -1], [0, 2, 2], [0, 1, -5]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -3 | 2*t^2.103 + t^2.8 + t^3.806 + 2*t^3.836 + 2*t^3.867 + t^3.928 + 3*t^4.205 + 2*t^4.903 + t^4.933 + t^5.6 + 2*t^5.909 + 3*t^5.939 + 2*t^5.97 - 3*t^6. - t^6.061 + 4*t^6.308 + t^6.606 + 2*t^6.637 + 2*t^6.667 + t^6.728 + 2*t^7.006 - 2*t^7.067 - 2*t^7.097 - t^7.127 + t^7.612 + 2*t^7.642 + 4*t^7.673 + 4*t^7.703 + 2*t^7.734 + t^7.795 + t^7.855 + 3*t^8.011 + 4*t^8.042 + 2*t^8.072 - 6*t^8.103 - 2*t^8.164 + t^8.401 + 5*t^8.411 + 2*t^8.709 + 3*t^8.739 + 2*t^8.77 - 3*t^8.8 - 2*t^8.831 - t^8.861 - t^4.067/y - (2*t^6.169)/y + t^7.205/y + (2*t^7.903)/y + (2*t^7.964)/y - (3*t^8.272)/y + (2*t^8.909)/y + (4*t^8.939)/y + (4*t^8.97)/y - t^4.067*y - 2*t^6.169*y + t^7.205*y + 2*t^7.903*y + 2*t^7.964*y - 3*t^8.272*y + 2*t^8.909*y + 4*t^8.939*y + 4*t^8.97*y | (g2*t^2.103)/g3^5 + (g1*t^2.103)/(g2^4*g3) + g2^3*g3^3*t^2.8 + g1*g2^3*t^3.806 + (g2^5*t^3.836)/g3 + g1*g3^3*t^3.836 + 2*g2^2*g3^2*t^3.867 + (g2*g3^4*t^3.928)/g1 + (g2^2*t^4.205)/g3^10 + (g1*t^4.205)/(g2^3*g3^6) + (g1^2*t^4.205)/(g2^8*g3^2) + (g2^4*t^4.903)/g3^2 + (g1*g3^2*t^4.903)/g2 + g2*g3*t^4.933 + g2^6*g3^6*t^5.6 + (g1*g2^4*t^5.909)/g3^5 + (g1^2*t^5.909)/(g2*g3) + (g2^6*t^5.939)/g3^6 + (g1*g2*t^5.939)/g3^2 + (g1^2*g3^2*t^5.939)/g2^4 + (g2^3*t^5.97)/g3^3 + (g1*g3*t^5.97)/g2^2 - 3*t^6. - (g3^2*t^6.061)/(g1*g2) + (g2^3*t^6.308)/g3^15 + (g1*t^6.308)/(g2^2*g3^11) + (g1^2*t^6.308)/(g2^7*g3^7) + (g1^3*t^6.308)/(g2^12*g3^3) + g1*g2^6*g3^3*t^6.606 + g2^8*g3^2*t^6.637 + g1*g2^3*g3^6*t^6.637 + 2*g2^5*g3^5*t^6.667 + (g2^4*g3^7*t^6.728)/g1 + (g2^5*t^7.006)/g3^7 + (g1^2*g3*t^7.006)/g2^5 - (2*t^7.067)/(g2*g3) - (g2*t^7.097)/(g1*g3^2) - (g3^2*t^7.097)/g2^4 - (g3*t^7.127)/(g1*g2^2) + g1^2*g2^6*t^7.612 + (g1*g2^8*t^7.642)/g3 + g1^2*g2^3*g3^3*t^7.642 + (g2^10*t^7.673)/g3^2 + 2*g1*g2^5*g3^2*t^7.673 + g1^2*g3^6*t^7.673 + 2*g2^7*g3*t^7.703 + 2*g1*g2^2*g3^5*t^7.703 + 2*g2^4*g3^4*t^7.734 + (g2^3*g3^6*t^7.795)/g1 + (g2^2*g3^8*t^7.855)/g1^2 + (g1*g2^5*t^8.011)/g3^10 + (g1^2*t^8.011)/g3^6 + (g1^3*t^8.011)/(g2^5*g3^2) + (g2^7*t^8.042)/g3^11 + (g1*g2^2*t^8.042)/g3^7 + (g1^2*t^8.042)/(g2^3*g3^3) + (g1^3*g3*t^8.042)/g2^8 + (g1^2*t^8.072)/g2^6 + (g2^4*t^8.072)/g3^8 - (3*g2*t^8.103)/g3^5 - (3*g1*t^8.103)/(g2^4*g3) - t^8.164/(g1*g3^3) - (g3*t^8.164)/g2^5 + g2^9*g3^9*t^8.401 + (g2^4*t^8.411)/g3^20 + (g1*t^8.411)/(g2*g3^16) + (g1^2*t^8.411)/(g2^6*g3^12) + (g1^3*t^8.411)/(g2^11*g3^8) + (g1^4*t^8.411)/(g2^16*g3^4) + (g1*g2^7*t^8.709)/g3^2 + g1^2*g2^2*g3^2*t^8.709 + (g2^9*t^8.739)/g3^3 + g1*g2^4*g3*t^8.739 + (g1^2*g3^5*t^8.739)/g2 + g2^6*t^8.77 + g1*g2*g3^4*t^8.77 - 3*g2^3*g3^3*t^8.8 - (g2^5*g3^2*t^8.831)/g1 - g3^6*t^8.831 - (g2^2*g3^5*t^8.861)/g1 - t^4.067/(g2*g3*y) - t^6.169/(g3^6*y) - (g1*t^6.169)/(g2^5*g3^2*y) + (g1*t^7.205)/(g2^3*g3^6*y) + (g2^4*t^7.903)/(g3^2*y) + (g1*g3^2*t^7.903)/(g2*y) + (g2^3*t^7.964)/(g1*y) + (g3^4*t^7.964)/(g2^2*y) - (g2*t^8.272)/(g3^11*y) - (g1*t^8.272)/(g2^4*g3^7*y) - (g1^2*t^8.272)/(g2^9*g3^3*y) + (g1*g2^4*t^8.909)/(g3^5*y) + (g1^2*t^8.909)/(g2*g3*y) + (g2^6*t^8.939)/(g3^6*y) + (2*g1*g2*t^8.939)/(g3^2*y) + (g1^2*g3^2*t^8.939)/(g2^4*y) + (2*g2^3*t^8.97)/(g3^3*y) + (2*g1*g3*t^8.97)/(g2^2*y) - (t^4.067*y)/(g2*g3) - (t^6.169*y)/g3^6 - (g1*t^6.169*y)/(g2^5*g3^2) + (g1*t^7.205*y)/(g2^3*g3^6) + (g2^4*t^7.903*y)/g3^2 + (g1*g3^2*t^7.903*y)/g2 + (g2^3*t^7.964*y)/g1 + (g3^4*t^7.964*y)/g2^2 - (g2*t^8.272*y)/g3^11 - (g1*t^8.272*y)/(g2^4*g3^7) - (g1^2*t^8.272*y)/(g2^9*g3^3) + (g1*g2^4*t^8.909*y)/g3^5 + (g1^2*t^8.909*y)/(g2*g3) + (g2^6*t^8.939*y)/g3^6 + (2*g1*g2*t^8.939*y)/g3^2 + (g1^2*g3^2*t^8.939*y)/g2^4 + (2*g2^3*t^8.97*y)/g3^3 + (2*g1*g3*t^8.97*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 181 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6485 | 0.7963 | 0.8144 | [M:[0.6913, 1.2958, 0.7078, 0.7007], q:[0.8352, 0.8127], qb:[0.4736, 0.4701], phi:[0.3521]] | t^2.074 + t^2.102 + t^2.123 + t^2.831 + t^3.848 + t^3.859 + 2*t^3.887 + t^3.916 + t^4.148 + t^4.176 + t^4.197 + t^4.204 + t^4.225 + t^4.247 + t^4.905 + t^4.933 + t^4.944 + t^4.954 + t^5.662 + t^5.922 + t^5.933 + t^5.951 + 2*t^5.961 + t^5.982 + 2*t^5.989 - 3*t^6. - t^4.056/y - t^4.056*y | detail | |
| 180 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.6484 | 0.7953 | 0.8152 | [M:[0.7026, 1.2974, 0.7026, 0.7026], q:[0.8244, 0.8244], qb:[0.4731, 0.4731], phi:[0.3513]] | 3*t^2.108 + t^2.839 + 5*t^3.892 + 6*t^4.215 + 4*t^4.946 + t^5.677 + 6*t^6. - t^4.054/y - t^4.054*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 |
|---|---|---|---|---|---|---|---|---|---|
| 74 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6079 | 0.7214 | 0.8426 | [M:[0.6995, 1.2812], q:[0.8348, 0.8058], qb:[0.4657, 0.456], phi:[0.3594]] | t^2.099 + t^2.765 + t^3.786 + 2*t^3.815 + 2*t^3.844 + 2*t^3.872 + t^4.197 + t^4.864 + t^4.922 + t^5.531 + t^5.884 + 2*t^5.913 + t^5.942 - 3*t^6. - t^4.078/y - t^4.078*y | detail |