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 |
|---|---|---|---|---|---|---|---|---|---|
| 2172 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{7}$ | 0.6658 | 0.8247 | 0.8074 | [M:[0.981, 1.0828, 1.1466, 0.8534, 0.7517, 1.019, 0.9172], q:[0.7707, 0.5414], qb:[0.4776, 0.3759], phi:[0.4586]] | [M:[[13], [-4], [5], [-5], [12], [-13], [4]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.255 + t^2.56 + 2*t^2.752 + t^3.057 + t^3.44 + t^3.631 + 2*t^3.936 + t^4.128 + t^4.241 + t^4.433 + t^4.51 + t^4.624 + t^4.816 + 2*t^5.007 + t^5.121 + 3*t^5.312 + 2*t^5.503 + t^5.617 + t^5.809 + t^5.886 - 2*t^6. + t^6.114 + 3*t^6.191 - t^6.305 + 3*t^6.383 + t^6.497 + 4*t^6.688 + t^6.766 + t^6.802 + t^6.879 + 4*t^6.993 + t^7.071 + 3*t^7.262 + t^7.298 + t^7.376 + 4*t^7.567 + 3*t^7.759 + 3*t^7.872 + 4*t^8.064 + t^8.141 + 2*t^8.178 + 2*t^8.369 + t^8.447 + t^8.483 - 2*t^8.56 + 3*t^8.638 + 2*t^8.674 - 3*t^8.752 + t^8.866 + 5*t^8.943 - t^4.376/y - t^6.631/y - t^7.128/y + t^7.624/y + t^7.816/y + (2*t^8.007)/y + t^8.121/y + (3*t^8.312)/y + t^8.503/y + t^8.617/y + t^8.695/y + (2*t^8.809)/y - t^4.376*y - t^6.631*y - t^7.128*y + t^7.624*y + t^7.816*y + 2*t^8.007*y + t^8.121*y + 3*t^8.312*y + t^8.503*y + t^8.617*y + t^8.695*y + 2*t^8.809*y | g1^12*t^2.255 + t^2.56/g1^5 + 2*g1^4*t^2.752 + t^3.057/g1^13 + g1^5*t^3.44 + g1^14*t^3.631 + (2*t^3.936)/g1^3 + g1^6*t^4.128 + t^4.241/g1^20 + t^4.433/g1^11 + g1^24*t^4.51 + t^4.624/g1^2 + g1^7*t^4.816 + 2*g1^16*t^5.007 + t^5.121/g1^10 + (3*t^5.312)/g1 + 2*g1^8*t^5.503 + t^5.617/g1^18 + t^5.809/g1^9 + g1^26*t^5.886 - 2*t^6. + t^6.114/g1^26 + 3*g1^9*t^6.191 - t^6.305/g1^17 + 3*g1^18*t^6.383 + t^6.497/g1^8 + 4*g1*t^6.688 + g1^36*t^6.766 + t^6.802/g1^25 + g1^10*t^6.879 + (4*t^6.993)/g1^16 + g1^19*t^7.071 + 3*g1^28*t^7.262 + t^7.298/g1^33 + g1^2*t^7.376 + 4*g1^11*t^7.567 + 3*g1^20*t^7.759 + (3*t^7.872)/g1^6 + 4*g1^3*t^8.064 + g1^38*t^8.141 + (2*t^8.178)/g1^23 + (2*t^8.369)/g1^14 + g1^21*t^8.447 + t^8.483/g1^40 - (2*t^8.56)/g1^5 + 3*g1^30*t^8.638 + (2*t^8.674)/g1^31 - 3*g1^4*t^8.752 + t^8.866/g1^22 + 5*g1^13*t^8.943 - (g1^2*t^4.376)/y - (g1^14*t^6.631)/y - (g1^6*t^7.128)/y + t^7.624/(g1^2*y) + (g1^7*t^7.816)/y + (2*g1^16*t^8.007)/y + t^8.121/(g1^10*y) + (3*t^8.312)/(g1*y) + (g1^8*t^8.503)/y + t^8.617/(g1^18*y) + (g1^17*t^8.695)/y + (2*t^8.809)/(g1^9*y) - g1^2*t^4.376*y - g1^14*t^6.631*y - g1^6*t^7.128*y + (t^7.624*y)/g1^2 + g1^7*t^7.816*y + 2*g1^16*t^8.007*y + (t^8.121*y)/g1^10 + (3*t^8.312*y)/g1 + g1^8*t^8.503*y + (t^8.617*y)/g1^18 + g1^17*t^8.695*y + (2*t^8.809*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 |
|---|---|---|---|---|---|---|---|---|
| 4151 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6836 | 0.8569 | 0.7977 | [M:[1.0043, 1.0756, 1.1555, 0.8445, 0.7732, 0.9957, 0.9244, 0.7646], q:[0.7689, 0.5378], qb:[0.4579, 0.3866], phi:[0.4622]] | t^2.294 + t^2.32 + t^2.534 + 2*t^2.773 + t^2.987 + t^3.466 + 2*t^3.92 + t^4.134 + t^4.16 + t^4.374 + t^4.588 + 2*t^4.613 + t^4.639 + t^4.827 + t^4.853 + 3*t^5.067 + 2*t^5.093 + t^5.281 + 3*t^5.307 + t^5.521 + 2*t^5.546 + 2*t^5.76 + t^5.974 - 2*t^6. - t^4.387/y - t^4.387*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1150 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ | 0.6584 | 0.8122 | 0.8107 | [M:[0.9935, 1.0789, 1.1514, 0.8486, 0.7633, 1.0065], q:[0.7697, 0.5395], qb:[0.467, 0.3816], phi:[0.4605]] | t^2.29 + t^2.546 + t^2.763 + t^3.019 + t^3.237 + t^3.454 + t^3.671 + 2*t^3.928 + t^4.145 + t^4.184 + t^4.401 + t^4.58 + t^4.618 + t^4.836 + t^5.053 + t^5.092 + 2*t^5.309 + t^5.527 + t^5.565 + t^5.783 + t^5.961 - t^6. - t^4.382/y - t^4.382*y | detail |