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 |
|---|---|---|---|---|---|---|---|---|---|
| 54581 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ | 0.6692 | 0.8294 | 0.8069 | [X:[1.4271], M:[0.8647, 1.0, 1.1353, 0.7083, 0.5729, 0.8647], q:[0.3541, 0.7812], qb:[0.6459, 0.5105], phi:[0.4271]] | [X:[[1]], M:[[-5], [0], [5], [4], [-1], [-5]], q:[[2], [3]], qb:[[-2], [-7]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$ | ${}M_{4}\phi_{1}q_{1}\tilde{q}_{2}$ | -1 | t^2.125 + t^2.562 + 2*t^2.594 + t^3. + t^3.406 + t^3.469 + t^3.875 + t^4.25 + 2*t^4.281 + t^4.344 + 2*t^4.687 + t^4.719 + t^4.75 + t^5.125 + 4*t^5.156 + 2*t^5.188 + 2*t^5.562 + t^5.594 + 2*t^5.968 - t^6. + t^6.032 + 2*t^6.063 + t^6.374 + t^6.438 + 2*t^6.469 + t^6.812 + 2*t^6.844 + 2*t^6.875 + t^6.907 + 3*t^6.938 + 2*t^7.25 + 3*t^7.281 + t^7.313 + 3*t^7.344 + 2*t^7.687 + 2*t^7.719 + 7*t^7.75 + t^7.782 + t^7.813 + t^8.093 - 2*t^8.125 + 4*t^8.156 - t^8.188 + 2*t^8.219 + t^8.499 + t^8.531 + 3*t^8.562 - 6*t^8.594 + 5*t^8.626 + 2*t^8.657 + t^8.689 + t^8.937 + 2*t^8.968 - t^4.281/y - t^6.406/y - t^6.844/y - t^6.875/y + (2*t^7.687)/y + (3*t^7.719)/y + t^8.125/y + (3*t^8.156)/y + t^8.188/y + t^8.562/y + (3*t^8.594)/y - t^4.281*y - t^6.406*y - t^6.844*y - t^6.875*y + 2*t^7.687*y + 3*t^7.719*y + t^8.125*y + 3*t^8.156*y + t^8.188*y + t^8.562*y + 3*t^8.594*y | g1^4*t^2.125 + g1^2*t^2.562 + (2*t^2.594)/g1^5 + t^3. + g1^5*t^3.406 + t^3.469/g1^9 + t^3.875/g1^4 + g1^8*t^4.25 + 2*g1*t^4.281 + t^4.344/g1^13 + 2*g1^6*t^4.687 + t^4.719/g1 + t^4.75/g1^8 + g1^4*t^5.125 + (4*t^5.156)/g1^3 + (2*t^5.188)/g1^10 + 2*g1^2*t^5.562 + t^5.594/g1^5 + 2*g1^7*t^5.968 - t^6. + t^6.032/g1^7 + (2*t^6.063)/g1^14 + g1^12*t^6.374 + t^6.438/g1^2 + (2*t^6.469)/g1^9 + g1^10*t^6.812 + 2*g1^3*t^6.844 + (2*t^6.875)/g1^4 + t^6.907/g1^11 + (3*t^6.938)/g1^18 + 2*g1^8*t^7.25 + 3*g1*t^7.281 + t^7.313/g1^6 + (3*t^7.344)/g1^13 + 2*g1^6*t^7.687 + (2*t^7.719)/g1 + (7*t^7.75)/g1^8 + t^7.782/g1^15 + t^7.813/g1^22 + g1^11*t^8.093 - 2*g1^4*t^8.125 + (4*t^8.156)/g1^3 - t^8.188/g1^10 + (2*t^8.219)/g1^17 + g1^16*t^8.499 + g1^9*t^8.531 + 3*g1^2*t^8.562 - (6*t^8.594)/g1^5 + (5*t^8.626)/g1^12 + (2*t^8.657)/g1^19 + t^8.689/g1^26 + g1^14*t^8.937 + 2*g1^7*t^8.968 - (g1*t^4.281)/y - (g1^5*t^6.406)/y - (g1^3*t^6.844)/y - t^6.875/(g1^4*y) + (2*g1^6*t^7.687)/y + (3*t^7.719)/(g1*y) + (g1^4*t^8.125)/y + (3*t^8.156)/(g1^3*y) + t^8.188/(g1^10*y) + (g1^2*t^8.562)/y + (3*t^8.594)/(g1^5*y) - g1*t^4.281*y - g1^5*t^6.406*y - g1^3*t^6.844*y - (t^6.875*y)/g1^4 + 2*g1^6*t^7.687*y + (3*t^7.719*y)/g1 + g1^4*t^8.125*y + (3*t^8.156*y)/g1^3 + (t^8.188*y)/g1^10 + g1^2*t^8.562*y + (3*t^8.594*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56577 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{1}M_{7}$ | 0.6579 | 0.8094 | 0.8129 | [X:[1.4235], M:[0.8824, 1.0, 1.1176, 0.6941, 0.5765, 0.8824, 1.1176], q:[0.347, 0.7705], qb:[0.653, 0.5354], phi:[0.4235]] | t^2.082 + t^2.541 + t^2.647 + t^3. + 2*t^3.353 + t^3.565 + t^3.918 + t^4.164 + 2*t^4.271 + t^4.483 + 2*t^4.623 + t^4.836 + t^5.082 + 3*t^5.188 + t^5.435 + 2*t^5.541 + 3*t^5.894 - t^6. - t^4.271/y - t^4.271*y | detail | |
| 56578 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6896 | 0.8679 | 0.7946 | [X:[1.4264], M:[0.8682, 1.0, 1.1318, 0.7055, 0.5736, 0.8682, 0.7055], q:[0.3527, 0.7791], qb:[0.6473, 0.5154], phi:[0.4264]] | 2*t^2.116 + t^2.558 + 2*t^2.604 + t^3. + t^3.396 + t^3.488 + 3*t^4.233 + 2*t^4.279 + t^4.372 + 3*t^4.675 + 3*t^4.721 + t^4.767 + 2*t^5.116 + 4*t^5.163 + 2*t^5.209 + t^5.512 + 2*t^5.558 + 2*t^5.604 + 2*t^5.954 - 2*t^6. - t^4.279/y - t^4.279*y | detail | |
| 56576 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6565 | 0.8082 | 0.8123 | [X:[1.4284], M:[0.8582, 1.0, 1.1418, 0.7134, 0.5716, 0.8582, 1.1433], q:[0.3567, 0.7851], qb:[0.6433, 0.5015], phi:[0.4284]] | t^2.14 + 2*t^2.575 + t^3. + t^3.425 + t^3.43 + t^3.434 + t^3.86 + t^4.281 + 2*t^4.285 + t^4.294 + t^4.71 + t^4.715 + t^4.719 + 2*t^5.145 + 2*t^5.149 + 2*t^5.57 + t^5.575 + t^5.996 - t^6. - t^4.285/y - t^4.285*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47098 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.7409 | 0.9251 | 0.8009 | [M:[0.9764, 1.0, 1.0236, 0.8474, 0.8238, 0.6908], q:[0.4237, 0.5999], qb:[0.5763, 0.5527], phi:[0.4618]] | t^2.072 + t^2.471 + t^2.542 + t^2.771 + t^2.929 + t^3. + t^3.071 + t^3.387 + t^4.145 + t^4.315 + t^4.386 + t^4.456 + t^4.544 + t^4.614 + t^4.702 + t^4.772 + 3*t^4.843 + t^4.914 + t^4.943 + t^4.985 + t^5.001 + t^5.014 + t^5.072 + t^5.084 + t^5.143 + t^5.242 + t^5.313 + t^5.4 + t^5.459 + t^5.471 + 2*t^5.542 + t^5.7 + t^5.771 + t^5.842 + t^5.858 - 2*t^6. - t^4.386/y - t^4.386*y | detail |