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 |
|---|---|---|---|---|---|---|---|---|---|
| 5416 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}M_{8}$ | 0.6161 | 0.7735 | 0.7966 | [X:[1.3621], M:[0.6379, 1.1207, 0.7989, 1.0402, 0.9598, 0.681, 0.8793, 1.2011], q:[0.7802, 0.5819], qb:[0.6193, 0.2601], phi:[0.4397]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [18], [-12], [20]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}M_{8}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$ | ${}$ | -2 | t^2.043 + t^2.526 + 2*t^2.638 + t^2.879 + t^3.121 + t^3.603 + t^3.845 + 2*t^4.086 + t^4.198 + t^4.569 + 2*t^4.681 + t^4.81 + t^4.922 + t^5.052 + 3*t^5.164 + 3*t^5.276 + t^5.405 + 2*t^5.517 + 2*t^5.647 + 2*t^5.759 - 2*t^6. - t^6.112 + 3*t^6.129 + 2*t^6.241 - t^6.353 + t^6.371 + t^6.483 - t^6.595 + 2*t^6.612 + 5*t^6.724 + t^6.836 + t^6.853 + t^6.965 - t^7.078 + t^7.095 + 3*t^7.207 + t^7.319 + t^7.336 - t^7.431 + 3*t^7.448 + t^7.578 + 6*t^7.69 + 4*t^7.802 + 3*t^7.914 + 2*t^7.931 - t^8.043 + t^8.155 + 4*t^8.172 + 4*t^8.284 + 2*t^8.397 + t^8.414 + t^8.509 - 3*t^8.526 - 6*t^8.638 + 4*t^8.655 - 2*t^8.75 + 4*t^8.767 - 2*t^8.879 + 3*t^8.896 - 2*t^8.991 - t^4.319/y - t^6.362/y - t^6.957/y + t^7.569/y + (3*t^7.681)/y + t^7.922/y + (3*t^8.164)/y + (2*t^8.276)/y + (2*t^8.517)/y + (2*t^8.647)/y + (2*t^8.759)/y + t^8.888/y - t^4.319*y - t^6.362*y - t^6.957*y + t^7.569*y + 3*t^7.681*y + t^7.922*y + 3*t^8.164*y + 2*t^8.276*y + 2*t^8.517*y + 2*t^8.647*y + 2*t^8.759*y + t^8.888*y | g1^18*t^2.043 + g1^34*t^2.526 + (2*t^2.638)/g1^12 + t^2.879/g1^4 + g1^4*t^3.121 + g1^20*t^3.603 + g1^28*t^3.845 + 2*g1^36*t^4.086 + t^4.198/g1^10 + g1^52*t^4.569 + 2*g1^6*t^4.681 + g1^60*t^4.81 + g1^14*t^4.922 + g1^68*t^5.052 + 3*g1^22*t^5.164 + (3*t^5.276)/g1^24 + g1^30*t^5.405 + (2*t^5.517)/g1^16 + 2*g1^38*t^5.647 + (2*t^5.759)/g1^8 - 2*t^6. - t^6.112/g1^46 + 3*g1^54*t^6.129 + 2*g1^8*t^6.241 - t^6.353/g1^38 + g1^62*t^6.371 + g1^16*t^6.483 - t^6.595/g1^30 + 2*g1^70*t^6.612 + 5*g1^24*t^6.724 + t^6.836/g1^22 + g1^78*t^6.853 + g1^32*t^6.965 - t^7.078/g1^14 + g1^86*t^7.095 + 3*g1^40*t^7.207 + t^7.319/g1^6 + g1^94*t^7.336 - t^7.431/g1^52 + 3*g1^48*t^7.448 + g1^102*t^7.578 + 6*g1^56*t^7.69 + 4*g1^10*t^7.802 + (3*t^7.914)/g1^36 + 2*g1^64*t^7.931 - g1^18*t^8.043 + t^8.155/g1^28 + 4*g1^72*t^8.172 + 4*g1^26*t^8.284 + (2*t^8.397)/g1^20 + g1^80*t^8.414 + t^8.509/g1^66 - 3*g1^34*t^8.526 - (6*t^8.638)/g1^12 + 4*g1^88*t^8.655 - (2*t^8.75)/g1^58 + 4*g1^42*t^8.767 - (2*t^8.879)/g1^4 + 3*g1^96*t^8.896 - (2*t^8.991)/g1^50 - t^4.319/(g1^6*y) - (g1^12*t^6.362)/y - t^6.957/(g1^18*y) + (g1^52*t^7.569)/y + (3*g1^6*t^7.681)/y + (g1^14*t^7.922)/y + (3*g1^22*t^8.164)/y + (2*t^8.276)/(g1^24*y) + (2*t^8.517)/(g1^16*y) + (2*g1^38*t^8.647)/y + (2*t^8.759)/(g1^8*y) + (g1^46*t^8.888)/y - (t^4.319*y)/g1^6 - g1^12*t^6.362*y - (t^6.957*y)/g1^18 + g1^52*t^7.569*y + 3*g1^6*t^7.681*y + g1^14*t^7.922*y + 3*g1^22*t^8.164*y + (2*t^8.276*y)/g1^24 + (2*t^8.517*y)/g1^16 + 2*g1^38*t^8.647*y + (2*t^8.759*y)/g1^8 + g1^46*t^8.888*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 |
|---|---|---|---|---|---|---|---|---|
| 6901 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{4}M_{9}$ | 0.6199 | 0.7793 | 0.7955 | [X:[1.3686], M:[0.6314, 1.1229, 0.7952, 1.041, 0.959, 0.6843, 0.8771, 1.2048, 0.959], q:[0.7807, 0.5879], qb:[0.6169, 0.2602], phi:[0.4386]] | t^2.053 + t^2.544 + 2*t^2.631 + 2*t^2.877 + t^3.614 + t^3.86 + 2*t^4.106 + t^4.193 + t^4.597 + 2*t^4.684 + t^4.843 + 2*t^4.93 + t^5.089 + 2*t^5.176 + 3*t^5.263 + 2*t^5.422 + 4*t^5.509 + t^5.667 + 2*t^5.754 - 3*t^6. - t^4.316/y - t^4.316*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3823 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.633 | 0.802 | 0.7894 | [X:[1.3821], M:[0.6179, 1.1274, 0.7877, 1.0425, 0.9575, 0.691, 0.8726], q:[0.7818, 0.6002], qb:[0.612, 0.2606], phi:[0.4363]] | t^2.073 + t^2.363 + t^2.583 + 2*t^2.618 + t^2.873 + t^3.127 + t^3.891 + 2*t^4.146 + t^4.182 + t^4.436 + t^4.656 + 2*t^4.691 + t^4.726 + t^4.91 + 2*t^4.946 + 2*t^4.981 + t^5.165 + 3*t^5.2 + 4*t^5.236 + t^5.455 + 3*t^5.491 + t^5.71 + 2*t^5.745 - 2*t^6. - t^4.309/y - t^4.309*y | detail |