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 |
|---|---|---|---|---|---|---|---|---|---|
| 50836 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ | 0.6212 | 0.7642 | 0.8129 | [X:[1.4041], M:[1.0959, 1.0207, 0.9041, 0.5959, 1.0, 0.7124], q:[0.2979, 0.6062], qb:[0.6814, 0.7979], phi:[0.4041]] | [X:[[2]], M:[[-2], [10], [2], [-2], [0], [6]], q:[[-1], [3]], qb:[[-9], [-1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -1 | t^2.137 + t^2.425 + t^2.712 + t^3. + t^3.062 + t^3.288 + t^3.925 + t^4.15 + t^4.212 + t^4.274 + t^4.438 + t^4.562 + 2*t^4.85 + 2*t^5.137 + t^5.199 + t^5.301 + 3*t^5.425 + t^5.487 + t^5.712 - t^6. + t^6.062 + t^6.124 - t^6.226 + t^6.288 + 2*t^6.35 + t^6.412 + t^6.575 + t^6.637 + t^6.699 + t^6.925 + 2*t^6.987 + 4*t^7.274 + t^7.336 + t^7.438 + 4*t^7.562 + t^7.624 + t^7.726 - t^7.788 + 3*t^7.85 + 2*t^7.912 - t^8.075 + t^8.137 + t^8.199 + t^8.261 + t^8.301 + 2*t^8.487 + 2*t^8.549 + t^8.588 - t^8.65 - t^8.712 + 2*t^8.774 + t^8.836 - t^8.938 - t^4.212/y - t^6.35/y - t^6.637/y + t^7.15/y - t^7.274/y + t^7.562/y + t^7.788/y + t^7.85/y + t^8.075/y + (2*t^8.137)/y + t^8.199/y + (2*t^8.425)/y + (2*t^8.712)/y - t^4.212*y - t^6.35*y - t^6.637*y + t^7.15*y - t^7.274*y + t^7.562*y + t^7.788*y + t^7.85*y + t^8.075*y + 2*t^8.137*y + t^8.199*y + 2*t^8.425*y + 2*t^8.712*y | g1^6*t^2.137 + g1^4*t^2.425 + g1^2*t^2.712 + t^3. + g1^10*t^3.062 + t^3.288/g1^2 + g1^4*t^3.925 + t^4.15/g1^8 + g1^2*t^4.212 + g1^12*t^4.274 + t^4.438/g1^10 + g1^10*t^4.562 + 2*g1^8*t^4.85 + 2*g1^6*t^5.137 + g1^16*t^5.199 + t^5.301/g1^16 + 3*g1^4*t^5.425 + g1^14*t^5.487 + g1^2*t^5.712 - t^6. + g1^10*t^6.062 + g1^20*t^6.124 - t^6.226/g1^12 + t^6.288/g1^2 + 2*g1^8*t^6.35 + g1^18*t^6.412 + t^6.575/g1^4 + g1^6*t^6.637 + g1^16*t^6.699 + g1^4*t^6.925 + 2*g1^14*t^6.987 + 4*g1^12*t^7.274 + g1^22*t^7.336 + t^7.438/g1^10 + 4*g1^10*t^7.562 + g1^20*t^7.624 + t^7.726/g1^12 - t^7.788/g1^2 + 3*g1^8*t^7.85 + 2*g1^18*t^7.912 - t^8.075/g1^4 + g1^6*t^8.137 + g1^16*t^8.199 + g1^26*t^8.261 + t^8.301/g1^16 + 2*g1^14*t^8.487 + 2*g1^24*t^8.549 + t^8.588/g1^18 - t^8.65/g1^8 - g1^2*t^8.712 + 2*g1^12*t^8.774 + g1^22*t^8.836 - t^8.938/g1^10 - (g1^2*t^4.212)/y - (g1^8*t^6.35)/y - (g1^6*t^6.637)/y + t^7.15/(g1^8*y) - (g1^12*t^7.274)/y + (g1^10*t^7.562)/y + t^7.788/(g1^2*y) + (g1^8*t^7.85)/y + t^8.075/(g1^4*y) + (2*g1^6*t^8.137)/y + (g1^16*t^8.199)/y + (2*g1^4*t^8.425)/y + (2*g1^2*t^8.712)/y - g1^2*t^4.212*y - g1^8*t^6.35*y - g1^6*t^6.637*y + (t^7.15*y)/g1^8 - g1^12*t^7.274*y + g1^10*t^7.562*y + (t^7.788*y)/g1^2 + g1^8*t^7.85*y + (t^8.075*y)/g1^4 + 2*g1^6*t^8.137*y + g1^16*t^8.199*y + 2*g1^4*t^8.425*y + 2*g1^2*t^8.712*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 |
|---|---|---|---|---|---|---|---|---|
| 56113 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{1}M_{7}$ | 0.63 | 0.7797 | 0.8081 | [X:[1.4015], M:[1.0985, 1.0073, 0.9015, 0.5985, 1.0, 0.7044, 0.9015], q:[0.2993, 0.6022], qb:[0.6934, 0.7993], phi:[0.4015]] | t^2.113 + t^2.409 + 2*t^2.704 + t^3. + t^3.022 + t^3.909 + t^4.182 + t^4.204 + t^4.226 + t^4.478 + t^4.522 + 3*t^4.818 + 3*t^5.113 + t^5.135 + t^5.365 + 4*t^5.409 + t^5.431 + t^5.704 + t^5.726 - 2*t^6. - t^4.204/y - t^4.204*y | detail | |
| 56105 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{2}M_{6}$ | 0.6031 | 0.7398 | 0.8152 | [X:[1.4375], M:[1.0625, 1.1875, 0.9375, 0.5625, 1.0, 0.8125], q:[0.2813, 0.6563], qb:[0.5313, 0.7813], phi:[0.4375]] | t^2.438 + t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.563 + t^3.75 + t^3.938 + t^4.125 + t^4.313 + t^4.5 + t^4.875 + t^5.063 + 2*t^5.25 + 2*t^5.438 + 2*t^5.625 + t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 79053/131072, c: 96973/131072, X1: 23/16, M1: 17/16, M2: 19/16, M3: 15/16, M4: 9/16, M5: 1, M6: 13/16, q1: 9/32, q2: 21/32, qb1: 17/32, qb2: 25/32, phi1: 7/16} |
| 56111 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{2}M_{7}$ | 0.6263 | 0.7723 | 0.811 | [X:[1.4176], M:[1.0824, 1.0882, 0.9176, 0.5824, 1.0, 0.7529, 0.9118], q:[0.2912, 0.6265], qb:[0.6206, 0.7912], phi:[0.4176]] | t^2.259 + t^2.506 + t^2.735 + t^2.753 + t^3. + t^3.247 + t^3.988 + t^4.006 + t^4.235 + t^4.253 + t^4.518 + t^4.765 + t^4.977 + t^4.994 + 2*t^5.012 + t^5.241 + 2*t^5.259 + t^5.471 + t^5.488 + 3*t^5.506 + t^5.735 + t^5.753 - t^6. - t^4.253/y - t^4.253*y | detail | |
| 56115 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6419 | 0.804 | 0.7983 | [X:[1.4049], M:[1.0951, 1.0246, 0.9049, 0.5951, 1.0, 0.7148, 0.6901], q:[0.2975, 0.6074], qb:[0.6778, 0.7975], phi:[0.4049]] | t^2.07 + t^2.144 + t^2.43 + t^2.715 + t^3. + t^3.074 + t^3.285 + 2*t^4.141 + 2*t^4.215 + t^4.289 + t^4.426 + t^4.5 + t^4.574 + t^4.785 + 2*t^4.859 + t^5.07 + 3*t^5.144 + t^5.218 + t^5.282 + t^5.356 + 3*t^5.43 + t^5.504 + t^5.715 - t^6. - t^4.215/y - t^4.215*y | detail | |
| 56109 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6054 | 0.7362 | 0.8224 | [X:[1.4082], M:[1.0918, 1.041, 0.9082, 0.5918, 1.0, 0.7246, 1.1836], q:[0.2959, 0.6123], qb:[0.6631, 0.7959], phi:[0.4082]] | t^2.174 + t^2.725 + t^3. + t^3.123 + t^3.275 + t^3.551 + t^3.949 + t^4.102 + t^4.225 + t^4.348 + t^4.377 + t^4.898 + t^5.174 + t^5.203 + t^5.297 + 2*t^5.449 + t^5.725 - t^6. - t^4.225/y - t^4.225*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46799 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6851 | 0.8556 | 0.8007 | [M:[1.1631, 0.9791, 0.8369, 0.7612, 0.8037, 0.9034], q:[0.3806, 0.4563], qb:[0.6403, 0.7825], phi:[0.4351]] | t^2.284 + t^2.411 + t^2.511 + t^2.61 + t^2.71 + t^2.937 + t^3.489 + t^3.816 + t^4.043 + t^4.268 + t^4.368 + t^4.567 + t^4.595 + t^4.695 + t^4.794 + t^4.822 + t^4.894 + t^4.922 + t^4.994 + 2*t^5.021 + 2*t^5.121 + t^5.147 + 2*t^5.221 + t^5.321 + t^5.348 + t^5.42 + t^5.548 + t^5.647 + t^5.874 + t^5.9 - 2*t^6. - t^4.305/y - t^4.305*y | detail |