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 |
|---|---|---|---|---|---|---|---|---|---|
| 2508 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ | 0.7078 | 0.8734 | 0.8103 | [M:[1.0335, 0.8995, 0.866, 1.067, 1.0, 0.933, 0.9665], q:[0.5503, 0.4162], qb:[0.5838, 0.5168], phi:[0.4832]] | [M:[[2], [-6], [-8], [4], [0], [-4], [-2]], q:[[3], [-5]], qb:[[5], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.598 + t^2.698 + t^2.799 + 2*t^2.899 + t^3. + t^3.201 + t^3.947 + t^4.249 + t^4.349 + t^4.45 + t^4.55 + t^4.651 + 2*t^4.751 + t^4.852 + t^4.952 + t^5.196 + t^5.296 + 2*t^5.397 + 2*t^5.497 + 3*t^5.598 + 2*t^5.698 + 4*t^5.799 + t^5.899 - 2*t^6. - t^6.201 - t^6.302 - t^6.503 + t^6.545 + t^6.646 + t^6.746 + 3*t^6.847 + 2*t^6.947 + t^7.048 + 4*t^7.148 + 4*t^7.249 + 3*t^7.349 + 3*t^7.45 + 3*t^7.55 + 3*t^7.651 + 2*t^7.751 + t^7.794 + 2*t^7.894 + 2*t^7.995 - t^8.053 + 3*t^8.095 + 4*t^8.196 + 4*t^8.296 + 5*t^8.397 + 4*t^8.497 + t^8.598 + 3*t^8.698 - 2*t^8.799 - 6*t^8.899 - t^4.45/y - t^7.048/y - t^7.148/y - t^7.349/y + t^7.55/y + t^7.751/y + t^7.852/y + t^8.296/y + t^8.397/y + (3*t^8.497)/y + (3*t^8.598)/y + (3*t^8.698)/y + (3*t^8.799)/y + (3*t^8.899)/y - t^4.45*y - t^7.048*y - t^7.148*y - t^7.349*y + t^7.55*y + t^7.751*y + t^7.852*y + t^8.296*y + t^8.397*y + 3*t^8.497*y + 3*t^8.598*y + 3*t^8.698*y + 3*t^8.799*y + 3*t^8.899*y | t^2.598/g1^8 + t^2.698/g1^6 + t^2.799/g1^4 + (2*t^2.899)/g1^2 + t^3. + g1^4*t^3.201 + t^3.947/g1^11 + t^4.249/g1^5 + t^4.349/g1^3 + t^4.45/g1 + g1*t^4.55 + g1^3*t^4.651 + 2*g1^5*t^4.751 + g1^7*t^4.852 + g1^9*t^4.952 + t^5.196/g1^16 + t^5.296/g1^14 + (2*t^5.397)/g1^12 + (2*t^5.497)/g1^10 + (3*t^5.598)/g1^8 + (2*t^5.698)/g1^6 + (4*t^5.799)/g1^4 + t^5.899/g1^2 - 2*t^6. - g1^4*t^6.201 - g1^6*t^6.302 - g1^10*t^6.503 + t^6.545/g1^19 + t^6.646/g1^17 + t^6.746/g1^15 + (3*t^6.847)/g1^13 + (2*t^6.947)/g1^11 + t^7.048/g1^9 + (4*t^7.148)/g1^7 + (4*t^7.249)/g1^5 + (3*t^7.349)/g1^3 + (3*t^7.45)/g1 + 3*g1*t^7.55 + 3*g1^3*t^7.651 + 2*g1^5*t^7.751 + t^7.794/g1^24 + (2*t^7.894)/g1^22 + (2*t^7.995)/g1^20 - g1^11*t^8.053 + (3*t^8.095)/g1^18 + (4*t^8.196)/g1^16 + (4*t^8.296)/g1^14 + (5*t^8.397)/g1^12 + (4*t^8.497)/g1^10 + t^8.598/g1^8 + (3*t^8.698)/g1^6 - (2*t^8.799)/g1^4 - (6*t^8.899)/g1^2 - t^4.45/(g1*y) - t^7.048/(g1^9*y) - t^7.148/(g1^7*y) - t^7.349/(g1^3*y) + (g1*t^7.55)/y + (g1^5*t^7.751)/y + (g1^7*t^7.852)/y + t^8.296/(g1^14*y) + t^8.397/(g1^12*y) + (3*t^8.497)/(g1^10*y) + (3*t^8.598)/(g1^8*y) + (3*t^8.698)/(g1^6*y) + (3*t^8.799)/(g1^4*y) + (3*t^8.899)/(g1^2*y) - (t^4.45*y)/g1 - (t^7.048*y)/g1^9 - (t^7.148*y)/g1^7 - (t^7.349*y)/g1^3 + g1*t^7.55*y + g1^5*t^7.751*y + g1^7*t^7.852*y + (t^8.296*y)/g1^14 + (t^8.397*y)/g1^12 + (3*t^8.497*y)/g1^10 + (3*t^8.598*y)/g1^8 + (3*t^8.698*y)/g1^6 + (3*t^8.799*y)/g1^4 + (3*t^8.899*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4551 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{4}M_{8}$ | 0.7145 | 0.8866 | 0.8058 | [M:[1.0392, 0.8824, 0.8432, 1.0784, 1.0, 0.9216, 0.9608, 0.9216], q:[0.5588, 0.402], qb:[0.598, 0.5196], phi:[0.4804]] | t^2.53 + t^2.647 + 2*t^2.765 + 2*t^2.882 + t^3. + t^3.853 + t^4.206 + t^4.324 + t^4.441 + t^4.559 + t^4.676 + 2*t^4.794 + t^4.912 + t^5.029 + t^5.059 + t^5.177 + 3*t^5.294 + 3*t^5.412 + 5*t^5.53 + 4*t^5.647 + 4*t^5.765 - 3*t^6. - t^4.441/y - t^4.441*y | detail | |
| 4552 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7285 | 0.914 | 0.7971 | [M:[1.0324, 0.9029, 0.8705, 1.0647, 1.0, 0.9353, 0.9676, 0.6781], q:[0.5486, 0.4191], qb:[0.5809, 0.5162], phi:[0.4838]] | t^2.034 + t^2.612 + t^2.709 + t^2.806 + 2*t^2.903 + t^3. + t^3.194 + t^4.068 + t^4.257 + t^4.354 + t^4.451 + t^4.549 + 2*t^4.646 + 3*t^4.743 + 2*t^4.84 + 3*t^4.937 + t^5.034 + t^5.223 + t^5.228 + t^5.32 + 2*t^5.417 + 2*t^5.514 + 3*t^5.612 + 2*t^5.709 + 4*t^5.806 + t^5.903 - 2*t^6. - t^4.451/y - t^4.451*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1435 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ | 0.7048 | 0.8677 | 0.8122 | [M:[1.0305, 0.9086, 0.8782, 1.0609, 1.0, 0.9391], q:[0.5457, 0.4239], qb:[0.5761, 0.5152], phi:[0.4848]] | t^2.635 + t^2.726 + t^2.817 + t^2.909 + t^3. + t^3.091 + t^3.183 + t^3.997 + t^4.272 + t^4.363 + t^4.454 + t^4.546 + t^4.637 + 2*t^4.728 + t^4.82 + t^4.911 + t^5.269 + t^5.36 + 2*t^5.452 + t^5.543 + 2*t^5.635 + 2*t^5.726 + 3*t^5.817 + t^5.909 - t^6. - t^4.454/y - t^4.454*y | detail |