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 |
|---|---|---|---|---|---|---|---|---|---|
| 2513 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.5953 | 0.7562 | 0.7872 | [X:[1.571], M:[0.429, 1.2871, 0.7129, 1.0032, 0.9968, 0.7194, 0.8516], q:[0.9274, 0.6436], qb:[0.3597, 0.3532], phi:[0.429]] | [X:[[2]], M:[[-2], [-6], [6], [-14], [14], [-22], [24]], q:[[5], [-3]], qb:[[-11], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.139 + t^2.158 + t^2.555 + t^2.574 + t^2.99 + t^3.01 + t^3.406 + t^3.426 + t^3.861 + t^4.277 + t^4.297 + t^4.316 + t^4.693 + 3*t^4.713 + t^4.732 + t^5.11 + 2*t^5.129 + 3*t^5.148 + t^5.168 + 2*t^5.545 + 3*t^5.564 + t^5.584 + t^5.961 + 2*t^5.981 + t^6.019 + t^6.397 + 2*t^6.416 + t^6.436 + t^6.455 + t^6.474 + t^6.813 + t^6.832 + t^6.852 + 2*t^6.871 + t^6.89 + t^7.248 + 3*t^7.268 + 3*t^7.287 + 2*t^7.307 + t^7.326 + t^7.664 + 3*t^7.684 + 4*t^7.703 + 4*t^7.723 + t^7.742 + 2*t^8.1 + 4*t^8.119 + t^8.139 - t^8.158 + t^8.178 + t^8.516 + 3*t^8.535 + t^8.555 + t^8.613 + t^8.632 + 2*t^8.951 + 3*t^8.971 - 2*t^8.99 - t^4.287/y - t^6.445/y - t^6.842/y - t^6.861/y + t^7.297/y + t^7.693/y + (3*t^7.713)/y + (2*t^7.732)/y + (3*t^8.129)/y + (2*t^8.148)/y + t^8.168/y + (2*t^8.545)/y + (4*t^8.564)/y + (2*t^8.584)/y - t^8.603/y + t^8.961/y + (2*t^8.981)/y - t^4.287*y - t^6.445*y - t^6.842*y - t^6.861*y + t^7.297*y + t^7.693*y + 3*t^7.713*y + 2*t^7.732*y + 3*t^8.129*y + 2*t^8.148*y + t^8.168*y + 2*t^8.545*y + 4*t^8.564*y + 2*t^8.584*y - t^8.603*y + t^8.961*y + 2*t^8.981*y | g1^6*t^2.139 + t^2.158/g1^22 + g1^24*t^2.555 + t^2.574/g1^4 + g1^14*t^2.99 + t^3.01/g1^14 + g1^32*t^3.406 + g1^4*t^3.426 + t^3.861/g1^6 + g1^12*t^4.277 + t^4.297/g1^16 + t^4.316/g1^44 + g1^30*t^4.693 + 3*g1^2*t^4.713 + t^4.732/g1^26 + g1^48*t^5.11 + 2*g1^20*t^5.129 + (3*t^5.148)/g1^8 + t^5.168/g1^36 + 2*g1^38*t^5.545 + 3*g1^10*t^5.564 + t^5.584/g1^18 + g1^56*t^5.961 + 2*g1^28*t^5.981 + t^6.019/g1^28 + g1^46*t^6.397 + 2*g1^18*t^6.416 + t^6.436/g1^10 + t^6.455/g1^38 + t^6.474/g1^66 + g1^64*t^6.813 + g1^36*t^6.832 + g1^8*t^6.852 + (2*t^6.871)/g1^20 + t^6.89/g1^48 + g1^54*t^7.248 + 3*g1^26*t^7.268 + (3*t^7.287)/g1^2 + (2*t^7.307)/g1^30 + t^7.326/g1^58 + g1^72*t^7.664 + 3*g1^44*t^7.684 + 4*g1^16*t^7.703 + (4*t^7.723)/g1^12 + t^7.742/g1^40 + 2*g1^62*t^8.1 + 4*g1^34*t^8.119 + g1^6*t^8.139 - t^8.158/g1^22 + t^8.178/g1^50 + g1^80*t^8.516 + 3*g1^52*t^8.535 + g1^24*t^8.555 + t^8.613/g1^60 + t^8.632/g1^88 + 2*g1^70*t^8.951 + 3*g1^42*t^8.971 - 2*g1^14*t^8.99 - t^4.287/(g1^2*y) - t^6.445/(g1^24*y) - (g1^22*t^6.842)/y - t^6.861/(g1^6*y) + t^7.297/(g1^16*y) + (g1^30*t^7.693)/y + (3*g1^2*t^7.713)/y + (2*t^7.732)/(g1^26*y) + (3*g1^20*t^8.129)/y + (2*t^8.148)/(g1^8*y) + t^8.168/(g1^36*y) + (2*g1^38*t^8.545)/y + (4*g1^10*t^8.564)/y + (2*t^8.584)/(g1^18*y) - t^8.603/(g1^46*y) + (g1^56*t^8.961)/y + (2*g1^28*t^8.981)/y - (t^4.287*y)/g1^2 - (t^6.445*y)/g1^24 - g1^22*t^6.842*y - (t^6.861*y)/g1^6 + (t^7.297*y)/g1^16 + g1^30*t^7.693*y + 3*g1^2*t^7.713*y + (2*t^7.732*y)/g1^26 + 3*g1^20*t^8.129*y + (2*t^8.148*y)/g1^8 + (t^8.168*y)/g1^36 + 2*g1^38*t^8.545*y + 4*g1^10*t^8.564*y + (2*t^8.584*y)/g1^18 - (t^8.603*y)/g1^46 + g1^56*t^8.961*y + 2*g1^28*t^8.981*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 |
|---|---|---|---|---|---|---|---|---|
| 4557 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6094 | 0.7807 | 0.7805 | [X:[1.5742], M:[0.4258, 1.2775, 0.7225, 0.9807, 1.0193, 0.684, 0.8902, 0.8131], q:[0.9355, 0.6387], qb:[0.342, 0.3805], phi:[0.4258]] | t^2.052 + t^2.168 + t^2.439 + t^2.555 + t^2.67 + t^2.942 + t^3.058 + t^3.445 + t^3.832 + t^4.104 + t^4.22 + t^4.335 + t^4.491 + 2*t^4.607 + 3*t^4.723 + t^4.838 + t^4.879 + 2*t^4.994 + 4*t^5.11 + 2*t^5.225 + t^5.341 + t^5.382 + 2*t^5.497 + 2*t^5.613 + t^5.728 + 2*t^5.884 - t^4.277/y - t^4.277*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1455 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7342 | 0.9219 | 0.7964 | [M:[0.847, 1.0534, 0.9466, 0.9538, 1.0462, 0.8541, 0.6708], q:[0.6263, 0.5267], qb:[0.4271, 0.5195], phi:[0.4751]] | t^2.012 + t^2.541 + t^2.562 + t^2.84 + t^2.851 + t^2.861 + t^3.139 + t^3.16 + t^4.025 + t^4.265 + t^4.287 + t^4.543 + t^4.553 + t^4.564 + t^4.575 + 2*t^4.585 + t^4.852 + 2*t^4.863 + t^4.874 + t^4.884 + t^5.082 + t^5.103 + t^5.125 + t^5.151 + t^5.173 + t^5.183 + t^5.381 + t^5.391 + t^5.402 + t^5.413 + t^5.424 + t^5.68 + t^5.69 + 2*t^5.701 + t^5.712 + t^5.723 + t^5.989 - 2*t^6. - t^4.425/y - t^4.425*y | detail |