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 |
|---|---|---|---|---|---|---|---|---|---|
| 4380 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{6}M_{8}$ | 0.6538 | 0.819 | 0.7983 | [M:[0.8755, 1.0361, 1.0523, 0.8032, 1.1245, 1.1968, 0.8755, 0.8032], q:[0.759, 0.3655], qb:[0.4377, 0.5099], phi:[0.4819]] | [M:[[14], [12], [-38], [-10], [-14], [10], [14], [-10]], q:[[3], [-17]], qb:[[7], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{8}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{7}$ | ${}$ | -3 | 2*t^2.41 + 2*t^2.626 + t^3.108 + t^3.157 + t^3.639 + t^3.807 + t^3.856 + 2*t^4.072 + t^4.289 + t^4.505 + 3*t^4.819 + 4*t^5.036 + 3*t^5.253 + 2*t^5.518 + t^5.567 + 2*t^5.735 - 3*t^6. + 2*t^6.049 + 4*t^6.265 + t^6.314 + t^6.433 + 4*t^6.482 + 4*t^6.699 - t^6.747 + t^6.796 + 4*t^6.915 + 2*t^7.132 - t^7.181 + 3*t^7.229 + t^7.278 + 4*t^7.446 + t^7.495 + t^7.614 + 4*t^7.662 + 2*t^7.711 + 3*t^7.879 + 4*t^7.928 + t^7.977 + 6*t^8.144 - 2*t^8.193 + t^8.312 + 4*t^8.361 - 7*t^8.41 + 3*t^8.458 + 2*t^8.578 - 7*t^8.626 + 6*t^8.675 + t^8.724 + t^8.794 - 2*t^8.843 + 7*t^8.892 + t^8.94 - t^4.446/y - t^6.856/y - t^7.072/y + t^7.289/y - t^7.603/y + (2*t^7.819)/y + (5*t^8.036)/y + t^8.253/y + (2*t^8.518)/y + (2*t^8.567)/y + (2*t^8.735)/y + (2*t^8.783)/y - t^4.446*y - t^6.856*y - t^7.072*y + t^7.289*y - t^7.603*y + 2*t^7.819*y + 5*t^8.036*y + t^8.253*y + 2*t^8.518*y + 2*t^8.567*y + 2*t^8.735*y + 2*t^8.783*y | (2*t^2.41)/g1^10 + 2*g1^14*t^2.626 + g1^12*t^3.108 + t^3.157/g1^38 + t^3.639/g1^40 + g1^34*t^3.807 + t^3.856/g1^16 + 2*g1^8*t^4.072 + g1^32*t^4.289 + g1^56*t^4.505 + (3*t^4.819)/g1^20 + 4*g1^4*t^5.036 + 3*g1^28*t^5.253 + 2*g1^2*t^5.518 + t^5.567/g1^48 + 2*g1^26*t^5.735 - 3*t^6. + (2*t^6.049)/g1^50 + (4*t^6.265)/g1^26 + t^6.314/g1^76 + g1^48*t^6.433 + (4*t^6.482)/g1^2 + 4*g1^22*t^6.699 - t^6.747/g1^28 + t^6.796/g1^78 + 4*g1^46*t^6.915 + 2*g1^70*t^7.132 - g1^20*t^7.181 + (3*t^7.229)/g1^30 + t^7.278/g1^80 + (4*t^7.446)/g1^6 + t^7.495/g1^56 + g1^68*t^7.614 + 4*g1^18*t^7.662 + (2*t^7.711)/g1^32 + 3*g1^42*t^7.879 + (4*t^7.928)/g1^8 + t^7.977/g1^58 + 6*g1^16*t^8.144 - (2*t^8.193)/g1^34 + g1^90*t^8.312 + 4*g1^40*t^8.361 - (7*t^8.41)/g1^10 + (3*t^8.458)/g1^60 + 2*g1^64*t^8.578 - 7*g1^14*t^8.626 + (6*t^8.675)/g1^36 + t^8.724/g1^86 + g1^88*t^8.794 - 2*g1^38*t^8.843 + (7*t^8.892)/g1^12 + t^8.94/g1^62 - t^4.446/(g1^6*y) - t^6.856/(g1^16*y) - (g1^8*t^7.072)/y + (g1^32*t^7.289)/y - t^7.603/(g1^44*y) + (2*t^7.819)/(g1^20*y) + (5*g1^4*t^8.036)/y + (g1^28*t^8.253)/y + (2*g1^2*t^8.518)/y + (2*t^8.567)/(g1^48*y) + (2*g1^26*t^8.735)/y + (2*t^8.783)/(g1^24*y) - (t^4.446*y)/g1^6 - (t^6.856*y)/g1^16 - g1^8*t^7.072*y + g1^32*t^7.289*y - (t^7.603*y)/g1^44 + (2*t^7.819*y)/g1^20 + 5*g1^4*t^8.036*y + g1^28*t^8.253*y + 2*g1^2*t^8.518*y + (2*t^8.567*y)/g1^48 + 2*g1^26*t^8.735*y + (2*t^8.783*y)/g1^24 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5851 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6741 | 0.8573 | 0.7863 | [M:[0.8732, 1.0341, 1.0585, 0.8049, 1.1268, 1.1951, 0.8732, 0.8049, 0.7122], q:[0.7585, 0.3683], qb:[0.4366, 0.5049], phi:[0.4829]] | t^2.137 + 2*t^2.415 + 2*t^2.62 + t^3.102 + t^3.176 + t^3.659 + t^3.79 + 2*t^4.068 + 2*t^4.273 + t^4.478 + 2*t^4.551 + 2*t^4.756 + 3*t^4.829 + 4*t^5.034 + 4*t^5.239 + t^5.312 + 2*t^5.517 + t^5.59 + 2*t^5.722 + t^5.795 + t^5.927 - 3*t^6. - t^4.449/y - t^4.449*y | detail | |
| 5849 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.6719 | 0.8526 | 0.788 | [M:[0.8649, 1.0271, 1.0809, 0.8108, 1.1351, 1.1892, 0.8649, 0.8108, 0.757], q:[0.7568, 0.3783], qb:[0.4325, 0.4867], phi:[0.4865]] | t^2.271 + 2*t^2.432 + 2*t^2.595 + t^3.081 + t^3.243 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.217 + t^4.379 + t^4.542 + 2*t^4.703 + 3*t^4.865 + 2*t^4.866 + 4*t^5.027 + 3*t^5.19 + t^5.352 + 3*t^5.514 + t^5.675 + 2*t^5.676 - 3*t^6. - t^4.459/y - t^4.459*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2375 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6376 | 0.7908 | 0.8063 | [M:[0.8717, 1.0329, 1.0624, 0.8059, 1.1283, 1.1941, 0.8717], q:[0.7582, 0.37], qb:[0.4359, 0.5017], phi:[0.4835]] | t^2.418 + 2*t^2.615 + t^3.099 + t^3.187 + t^3.582 + t^3.671 + t^3.78 + t^3.868 + 2*t^4.066 + t^4.263 + t^4.461 + t^4.835 + 2*t^5.033 + 3*t^5.23 + t^5.516 + 2*t^5.714 - 2*t^6. - t^4.451/y - t^4.451*y | detail |