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 |
|---|---|---|---|---|---|---|---|---|---|
| 1356 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6571 | 0.8278 | 0.7938 | [X:[1.5587], M:[0.4413, 1.1862, 0.7794, 0.8826, 0.7794, 0.6761], q:[0.7966, 0.7622], qb:[0.4585, 0.3553], phi:[0.4069]] | [X:[[12]], M:[[-12], [4], [6], [-24], [6], [36]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.028 + 2*t^2.338 + t^2.441 + t^2.648 + t^3.352 + t^3.455 + t^3.559 + t^3.765 + t^4.057 + 2*t^4.366 + t^4.47 + t^4.573 + 5*t^4.676 + t^4.779 + 2*t^4.883 + 2*t^4.986 + t^5.295 + t^5.381 + t^5.484 + t^5.587 + t^5.69 + 5*t^5.794 + 2*t^5.897 - 2*t^6. + t^6.085 + 2*t^6.103 + t^6.206 - 2*t^6.31 + 2*t^6.395 + t^6.413 + t^6.498 + t^6.601 + 6*t^6.705 + 2*t^6.808 + 3*t^6.911 + 8*t^7.014 + t^7.117 + t^7.221 + 5*t^7.324 + t^7.409 - t^7.427 + t^7.512 + t^7.616 + 2*t^7.634 + t^7.719 + 5*t^7.822 + 3*t^7.925 + t^7.943 + t^8.114 + 7*t^8.132 + 4*t^8.235 - 7*t^8.338 + 2*t^8.423 + 3*t^8.441 + t^8.527 - t^8.545 + t^8.63 - 6*t^8.648 + 6*t^8.733 + t^8.751 + 2*t^8.836 + 3*t^8.939 - 2*t^8.957 - t^4.221/y - t^6.249/y - (2*t^6.559)/y - t^6.868/y + (2*t^7.366)/y + t^7.47/y + t^7.573/y + (2*t^7.676)/y + (2*t^7.779)/y + (2*t^7.883)/y + (2*t^7.986)/y + t^8.089/y + t^8.192/y - t^8.277/y + t^8.381/y + t^8.484/y - t^8.587/y + (2*t^8.69)/y + (4*t^8.794)/y - t^8.897/y - t^4.221*y - t^6.249*y - 2*t^6.559*y - t^6.868*y + 2*t^7.366*y + t^7.47*y + t^7.573*y + 2*t^7.676*y + 2*t^7.779*y + 2*t^7.883*y + 2*t^7.986*y + t^8.089*y + t^8.192*y - t^8.277*y + t^8.381*y + t^8.484*y - t^8.587*y + 2*t^8.69*y + 4*t^8.794*y - t^8.897*y | g1^36*t^2.028 + 2*g1^6*t^2.338 + t^2.441/g1^4 + t^2.648/g1^24 + g1^24*t^3.352 + g1^14*t^3.455 + g1^4*t^3.559 + t^3.765/g1^16 + g1^72*t^4.057 + 2*g1^42*t^4.366 + g1^32*t^4.47 + g1^22*t^4.573 + 5*g1^12*t^4.676 + g1^2*t^4.779 + (2*t^4.883)/g1^8 + (2*t^4.986)/g1^18 + t^5.295/g1^48 + g1^60*t^5.381 + g1^50*t^5.484 + g1^40*t^5.587 + g1^30*t^5.69 + 5*g1^20*t^5.794 + 2*g1^10*t^5.897 - 2*t^6. + g1^108*t^6.085 + (2*t^6.103)/g1^10 + t^6.206/g1^20 - (2*t^6.31)/g1^30 + 2*g1^78*t^6.395 + t^6.413/g1^40 + g1^68*t^6.498 + g1^58*t^6.601 + 6*g1^48*t^6.705 + 2*g1^38*t^6.808 + 3*g1^28*t^6.911 + 8*g1^18*t^7.014 + g1^8*t^7.117 + t^7.221/g1^2 + (5*t^7.324)/g1^12 + g1^96*t^7.409 - t^7.427/g1^22 + g1^86*t^7.512 + g1^76*t^7.616 + (2*t^7.634)/g1^42 + g1^66*t^7.719 + 5*g1^56*t^7.822 + 3*g1^46*t^7.925 + t^7.943/g1^72 + g1^144*t^8.114 + 7*g1^26*t^8.132 + 4*g1^16*t^8.235 - 7*g1^6*t^8.338 + 2*g1^114*t^8.423 + (3*t^8.441)/g1^4 + g1^104*t^8.527 - t^8.545/g1^14 + g1^94*t^8.63 - (6*t^8.648)/g1^24 + 6*g1^84*t^8.733 + t^8.751/g1^34 + 2*g1^74*t^8.836 + 3*g1^64*t^8.939 - (2*t^8.957)/g1^54 - t^4.221/(g1^2*y) - (g1^34*t^6.249)/y - (2*g1^4*t^6.559)/y - t^6.868/(g1^26*y) + (2*g1^42*t^7.366)/y + (g1^32*t^7.47)/y + (g1^22*t^7.573)/y + (2*g1^12*t^7.676)/y + (2*g1^2*t^7.779)/y + (2*t^7.883)/(g1^8*y) + (2*t^7.986)/(g1^18*y) + t^8.089/(g1^28*y) + t^8.192/(g1^38*y) - (g1^70*t^8.277)/y + (g1^60*t^8.381)/y + (g1^50*t^8.484)/y - (g1^40*t^8.587)/y + (2*g1^30*t^8.69)/y + (4*g1^20*t^8.794)/y - (g1^10*t^8.897)/y - (t^4.221*y)/g1^2 - g1^34*t^6.249*y - 2*g1^4*t^6.559*y - (t^6.868*y)/g1^26 + 2*g1^42*t^7.366*y + g1^32*t^7.47*y + g1^22*t^7.573*y + 2*g1^12*t^7.676*y + 2*g1^2*t^7.779*y + (2*t^7.883*y)/g1^8 + (2*t^7.986*y)/g1^18 + (t^8.089*y)/g1^28 + (t^8.192*y)/g1^38 - g1^70*t^8.277*y + g1^60*t^8.381*y + g1^50*t^8.484*y - g1^40*t^8.587*y + 2*g1^30*t^8.69*y + 4*g1^20*t^8.794*y - g1^10*t^8.897*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 |
|---|---|---|---|---|---|---|---|---|
| 2411 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.6728 | 0.8548 | 0.7871 | [X:[1.5604], M:[0.4396, 1.1868, 0.7802, 0.8792, 0.7802, 0.6812, 0.8132], q:[0.7967, 0.7637], qb:[0.4561, 0.3571], phi:[0.4066]] | t^2.043 + 2*t^2.341 + 2*t^2.44 + t^2.638 + t^3.362 + t^3.461 + t^3.758 + t^4.087 + 2*t^4.384 + 2*t^4.483 + t^4.582 + 5*t^4.681 + 3*t^4.78 + 4*t^4.879 + 2*t^4.978 + t^5.077 + t^5.275 + t^5.406 + t^5.505 + t^5.703 + 6*t^5.802 + t^5.901 - 3*t^6. - t^4.22/y - t^4.22*y | detail | |
| 2410 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6706 | 0.85 | 0.789 | [X:[1.5653], M:[0.4347, 1.1884, 0.7827, 0.8693, 0.7827, 0.696, 0.8405], q:[0.7971, 0.7682], qb:[0.4491, 0.3624], phi:[0.4058]] | t^2.088 + 2*t^2.348 + t^2.435 + t^2.521 + t^2.608 + t^3.392 + t^3.565 + t^3.739 + t^4.176 + 2*t^4.436 + t^4.523 + 2*t^4.609 + 5*t^4.696 + t^4.783 + 4*t^4.869 + 3*t^4.956 + t^5.043 + t^5.129 + t^5.216 + t^5.48 + t^5.653 + t^5.74 + 3*t^5.827 + 2*t^5.913 - 2*t^6. - t^4.217/y - t^4.217*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 |
|---|---|---|---|---|---|---|---|---|---|
| 863 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6363 | 0.7867 | 0.8088 | [X:[1.5607], M:[0.4393, 1.1869, 0.7803, 0.8786, 0.7803], q:[0.7967, 0.764], qb:[0.4557, 0.3574], phi:[0.4066]] | 2*t^2.341 + t^2.439 + t^2.636 + t^3.364 + t^3.462 + t^3.561 + t^3.757 + t^3.954 + t^4.584 + 4*t^4.682 + t^4.78 + 2*t^4.879 + 2*t^4.977 + t^5.272 + t^5.705 + 4*t^5.803 + 2*t^5.902 - 2*t^6. - t^4.22/y - t^4.22*y | detail |