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 |
|---|---|---|---|---|---|---|---|---|---|
| 55648 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6215 | 0.7817 | 0.7951 | [X:[1.3792], M:[1.1264, 0.9579, 0.6208, 0.7893, 1.0421, 0.7051], q:[0.2605, 0.6131], qb:[0.7816, 0.5976], phi:[0.4368]] | [X:[[36]], M:[[12], [-4], [-36], [-20], [4], [-28]], q:[[1], [-13]], qb:[[3], [33]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -1 | t^2.115 + t^2.368 + t^2.574 + t^2.621 + t^2.874 + t^3.126 + t^3.379 + t^3.931 + t^4.138 + t^4.184 + t^4.23 + t^4.483 + t^4.69 + 2*t^4.736 + t^4.896 + t^4.942 + 2*t^4.989 + t^5.149 + t^5.195 + 3*t^5.242 + t^5.448 + 3*t^5.494 + t^5.701 + 2*t^5.747 - t^6. + t^6.253 + t^6.299 + t^6.346 + t^6.506 + t^6.552 + t^6.598 + t^6.712 + t^6.758 + 2*t^6.805 + 2*t^6.851 + t^7.058 + 3*t^7.104 + t^7.264 + t^7.31 + 3*t^7.357 + t^7.47 + 2*t^7.517 + t^7.563 + 5*t^7.61 + t^7.723 + t^7.77 + t^7.816 + 5*t^7.862 + t^8.022 + t^8.069 + 2*t^8.115 + 2*t^8.275 + t^8.322 + t^8.368 + t^8.414 + t^8.461 - 2*t^8.574 - t^8.621 + t^8.714 - 2*t^8.874 + 2*t^8.92 + 2*t^8.966 - t^4.31/y - t^6.426/y - t^6.678/y + t^7.483/y + t^7.69/y + t^7.736/y + (2*t^7.942)/y + (2*t^7.989)/y + (2*t^8.195)/y + (2*t^8.242)/y + t^8.448/y + (3*t^8.494)/y - t^8.541/y + t^8.701/y + (2*t^8.747)/y - t^8.794/y + t^8.954/y - t^4.31*y - t^6.426*y - t^6.678*y + t^7.483*y + t^7.69*y + t^7.736*y + 2*t^7.942*y + 2*t^7.989*y + 2*t^8.195*y + 2*t^8.242*y + t^8.448*y + 3*t^8.494*y - t^8.541*y + t^8.701*y + 2*t^8.747*y - t^8.794*y + t^8.954*y | t^2.115/g1^28 + t^2.368/g1^20 + g1^34*t^2.574 + t^2.621/g1^12 + t^2.874/g1^4 + g1^4*t^3.126 + g1^12*t^3.379 + t^3.931/g1^18 + g1^36*t^4.138 + t^4.184/g1^10 + t^4.23/g1^56 + t^4.483/g1^48 + g1^6*t^4.69 + (2*t^4.736)/g1^40 + g1^60*t^4.896 + g1^14*t^4.942 + (2*t^4.989)/g1^32 + g1^68*t^5.149 + g1^22*t^5.195 + (3*t^5.242)/g1^24 + g1^30*t^5.448 + (3*t^5.494)/g1^16 + g1^38*t^5.701 + (2*t^5.747)/g1^8 - t^6. + g1^8*t^6.253 + t^6.299/g1^38 + t^6.346/g1^84 + g1^16*t^6.506 + t^6.552/g1^30 + t^6.598/g1^76 + g1^70*t^6.712 + g1^24*t^6.758 + (2*t^6.805)/g1^22 + (2*t^6.851)/g1^68 + t^7.058/g1^14 + (3*t^7.104)/g1^60 + g1^40*t^7.264 + t^7.31/g1^6 + (3*t^7.357)/g1^52 + g1^94*t^7.47 + 2*g1^48*t^7.517 + g1^2*t^7.563 + (5*t^7.61)/g1^44 + g1^102*t^7.723 + g1^56*t^7.77 + g1^10*t^7.816 + (5*t^7.862)/g1^36 + g1^64*t^8.022 + g1^18*t^8.069 + (2*t^8.115)/g1^28 + 2*g1^72*t^8.275 + g1^26*t^8.322 + t^8.368/g1^20 + t^8.414/g1^66 + t^8.461/g1^112 - 2*g1^34*t^8.574 - t^8.621/g1^12 + t^8.714/g1^104 - (2*t^8.874)/g1^4 + (2*t^8.92)/g1^50 + (2*t^8.966)/g1^96 - t^4.31/(g1^6*y) - t^6.426/(g1^34*y) - t^6.678/(g1^26*y) + t^7.483/(g1^48*y) + (g1^6*t^7.69)/y + t^7.736/(g1^40*y) + (2*g1^14*t^7.942)/y + (2*t^7.989)/(g1^32*y) + (2*g1^22*t^8.195)/y + (2*t^8.242)/(g1^24*y) + (g1^30*t^8.448)/y + (3*t^8.494)/(g1^16*y) - t^8.541/(g1^62*y) + (g1^38*t^8.701)/y + (2*t^8.747)/(g1^8*y) - t^8.794/(g1^54*y) + (g1^46*t^8.954)/y - (t^4.31*y)/g1^6 - (t^6.426*y)/g1^34 - (t^6.678*y)/g1^26 + (t^7.483*y)/g1^48 + g1^6*t^7.69*y + (t^7.736*y)/g1^40 + 2*g1^14*t^7.942*y + (2*t^7.989*y)/g1^32 + 2*g1^22*t^8.195*y + (2*t^8.242*y)/g1^24 + g1^30*t^8.448*y + (3*t^8.494*y)/g1^16 - (t^8.541*y)/g1^62 + g1^38*t^8.701*y + (2*t^8.747*y)/g1^8 - (t^8.794*y)/g1^54 + g1^46*t^8.954*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 |
|---|---|---|---|---|---|---|---|---|
| 57508 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.633 | 0.8015 | 0.7897 | [X:[1.3941], M:[1.1314, 0.9562, 0.6059, 0.7811, 1.0438, 0.6935, 0.8686], q:[0.2609, 0.6077], qb:[0.7828, 0.6112], phi:[0.4343]] | t^2.08 + t^2.343 + 2*t^2.606 + t^2.617 + t^2.869 + t^3.131 + t^3.909 + t^4.161 + t^4.172 + t^4.182 + t^4.424 + 3*t^4.686 + t^4.697 + 3*t^4.949 + t^4.96 + t^4.97 + 5*t^5.212 + 2*t^5.222 + t^5.233 + 3*t^5.475 + t^5.485 + 2*t^5.737 + t^5.748 - 2*t^6. - t^4.303/y - t^4.303*y | detail | |
| 57509 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6422 | 0.8219 | 0.7814 | [X:[1.376], M:[1.1253, 0.9582, 0.624, 0.7911, 1.0418, 0.7076, 0.688], q:[0.2604, 0.6142], qb:[0.7813, 0.5946], phi:[0.4373]] | t^2.064 + t^2.123 + t^2.373 + t^2.565 + t^2.624 + t^2.875 + t^3.125 + t^3.376 + 2*t^4.128 + 2*t^4.187 + t^4.246 + t^4.437 + t^4.496 + t^4.629 + 2*t^4.688 + 2*t^4.747 + t^4.88 + 2*t^4.939 + 2*t^4.997 + t^5.13 + 2*t^5.189 + 3*t^5.248 + 2*t^5.44 + 3*t^5.499 + t^5.691 + 2*t^5.749 - t^6. - t^4.312/y - t^4.312*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47113 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ | 0.6011 | 0.7433 | 0.8087 | [X:[1.3686], M:[1.1229, 0.959, 0.6314, 0.7952, 1.041], q:[0.2602, 0.6169], qb:[0.7807, 0.5879], phi:[0.4386]] | t^2.386 + t^2.544 + t^2.631 + t^2.877 + t^3.123 + t^3.369 + t^3.86 + t^3.947 + t^4.106 + t^4.193 + t^4.771 + t^4.843 + t^4.93 + t^5.017 + t^5.089 + t^5.176 + 2*t^5.263 + t^5.422 + 2*t^5.509 + t^5.667 + 2*t^5.754 - t^6. - t^4.316/y - t^4.316*y | detail |