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 |
|---|---|---|---|---|---|---|---|---|---|
| 55217 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6087 | 0.7818 | 0.7785 | [M:[0.7432, 0.9453, 1.2568, 1.0, 1.0274, 0.6884], q:[0.5, 0.7568], qb:[0.5547, 0.2432], phi:[0.4863]] | [M:[[1], [8], [-1], [0], [-4], [9]], q:[[0], [-1]], qb:[[-8], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -1 | t^2.065 + t^2.229 + t^2.394 + t^2.836 + t^2.918 + t^3. + t^3.082 + t^3.688 + t^3.771 + t^3.853 + t^4.13 + t^4.295 + 3*t^4.459 + 2*t^4.623 + 2*t^4.787 + t^4.901 + t^4.983 + t^5.065 + 2*t^5.147 + t^5.229 + 2*t^5.312 + t^5.394 + t^5.476 + t^5.672 + 2*t^5.754 + 2*t^5.836 + 3*t^5.918 - t^6. + 2*t^6.082 + t^6.196 + t^6.246 + t^6.36 + 3*t^6.524 + t^6.606 + 4*t^6.688 + 4*t^6.853 - t^6.935 + t^6.966 + 2*t^7.017 + t^7.048 + t^7.13 + 2*t^7.181 + 2*t^7.213 + t^7.295 + 4*t^7.377 + t^7.459 + 3*t^7.541 + t^7.623 + 3*t^7.705 + t^7.737 + t^7.787 + 2*t^7.819 + t^7.87 + 2*t^7.901 + 3*t^7.983 - t^8.065 + 4*t^8.147 - t^8.229 + t^8.261 + 3*t^8.312 - 3*t^8.394 + t^8.425 + 2*t^8.476 + t^8.507 + 4*t^8.589 + 2*t^8.64 + 3*t^8.672 + 5*t^8.754 - t^8.836 + 3*t^8.918 - t^4.459/y - t^6.524/y + t^7.459/y + (2*t^7.623)/y + t^7.901/y + t^7.983/y + (2*t^8.065)/y + (2*t^8.147)/y + (2*t^8.229)/y + (2*t^8.312)/y + (2*t^8.394)/y + t^8.476/y - t^8.589/y + (2*t^8.754)/y + (2*t^8.836)/y + (4*t^8.918)/y - t^4.459*y - t^6.524*y + t^7.459*y + 2*t^7.623*y + t^7.901*y + t^7.983*y + 2*t^8.065*y + 2*t^8.147*y + 2*t^8.229*y + 2*t^8.312*y + 2*t^8.394*y + t^8.476*y - t^8.589*y + 2*t^8.754*y + 2*t^8.836*y + 4*t^8.918*y | g1^9*t^2.065 + g1*t^2.229 + t^2.394/g1^7 + g1^8*t^2.836 + g1^4*t^2.918 + t^3. + t^3.082/g1^4 + g1^3*t^3.688 + t^3.771/g1 + t^3.853/g1^5 + g1^18*t^4.13 + g1^10*t^4.295 + 3*g1^2*t^4.459 + (2*t^4.623)/g1^6 + (2*t^4.787)/g1^14 + g1^17*t^4.901 + g1^13*t^4.983 + g1^9*t^5.065 + 2*g1^5*t^5.147 + g1*t^5.229 + (2*t^5.312)/g1^3 + t^5.394/g1^7 + t^5.476/g1^11 + g1^16*t^5.672 + 2*g1^12*t^5.754 + 2*g1^8*t^5.836 + 3*g1^4*t^5.918 - t^6. + (2*t^6.082)/g1^4 + g1^27*t^6.196 + t^6.246/g1^12 + g1^19*t^6.36 + 3*g1^11*t^6.524 + g1^7*t^6.606 + 4*g1^3*t^6.688 + (4*t^6.853)/g1^5 - t^6.935/g1^9 + g1^26*t^6.966 + (2*t^7.017)/g1^13 + g1^22*t^7.048 + g1^18*t^7.13 + (2*t^7.181)/g1^21 + 2*g1^14*t^7.213 + g1^10*t^7.295 + 4*g1^6*t^7.377 + g1^2*t^7.459 + (3*t^7.541)/g1^2 + t^7.623/g1^6 + (3*t^7.705)/g1^10 + g1^25*t^7.737 + t^7.787/g1^14 + 2*g1^21*t^7.819 + t^7.87/g1^18 + 2*g1^17*t^7.901 + 3*g1^13*t^7.983 - g1^9*t^8.065 + 4*g1^5*t^8.147 - g1*t^8.229 + g1^36*t^8.261 + (3*t^8.312)/g1^3 - (3*t^8.394)/g1^7 + g1^28*t^8.425 + (2*t^8.476)/g1^11 + g1^24*t^8.507 + 4*g1^20*t^8.589 + (2*t^8.64)/g1^19 + 3*g1^16*t^8.672 + 5*g1^12*t^8.754 - g1^8*t^8.836 + 3*g1^4*t^8.918 - (g1^2*t^4.459)/y - (g1^11*t^6.524)/y + (g1^2*t^7.459)/y + (2*t^7.623)/(g1^6*y) + (g1^17*t^7.901)/y + (g1^13*t^7.983)/y + (2*g1^9*t^8.065)/y + (2*g1^5*t^8.147)/y + (2*g1*t^8.229)/y + (2*t^8.312)/(g1^3*y) + (2*t^8.394)/(g1^7*y) + t^8.476/(g1^11*y) - (g1^20*t^8.589)/y + (2*g1^12*t^8.754)/y + (2*g1^8*t^8.836)/y + (4*g1^4*t^8.918)/y - g1^2*t^4.459*y - g1^11*t^6.524*y + g1^2*t^7.459*y + (2*t^7.623*y)/g1^6 + g1^17*t^7.901*y + g1^13*t^7.983*y + 2*g1^9*t^8.065*y + 2*g1^5*t^8.147*y + 2*g1*t^8.229*y + (2*t^8.312*y)/g1^3 + (2*t^8.394*y)/g1^7 + (t^8.476*y)/g1^11 - g1^20*t^8.589*y + 2*g1^12*t^8.754*y + 2*g1^8*t^8.836*y + 4*g1^4*t^8.918*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 |
|---|---|---|---|---|---|---|---|---|
| 56871 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ | 0.6053 | 0.7765 | 0.7795 | [M:[0.7479, 0.9834, 1.2521, 1.0, 1.0083, 0.7313, 1.0166], q:[0.5, 0.7521], qb:[0.5166, 0.2479], phi:[0.4958]] | t^2.194 + t^2.244 + t^2.294 + t^2.975 + t^3. + t^3.025 + t^3.05 + t^3.731 + t^3.756 + t^3.781 + t^4.388 + t^4.438 + 3*t^4.488 + 2*t^4.537 + 2*t^4.587 + t^5.169 + 2*t^5.219 + t^5.244 + 2*t^5.269 + 2*t^5.294 + t^5.319 + t^5.344 + t^5.925 + t^5.95 + 2*t^5.975 - t^6. - t^4.488/y - t^4.488*y | detail | |
| 56873 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6289 | 0.8202 | 0.7668 | [M:[0.7424, 0.9392, 1.2576, 1.0, 1.0304, 0.6816, 0.712], q:[0.5, 0.7576], qb:[0.5608, 0.2424], phi:[0.4848]] | t^2.045 + t^2.136 + t^2.227 + t^2.41 + t^2.818 + t^2.909 + t^3. + t^3.091 + t^3.682 + t^3.773 + t^4.09 + t^4.181 + 2*t^4.272 + t^4.363 + 3*t^4.454 + t^4.546 + 2*t^4.637 + 2*t^4.819 + t^4.863 + 2*t^4.954 + 2*t^5.045 + 3*t^5.136 + 2*t^5.227 + 2*t^5.318 + t^5.41 + t^5.501 + t^5.635 + 2*t^5.727 + 3*t^5.818 + 3*t^5.909 - t^6. - t^4.454/y - t^4.454*y | detail | |
| 56872 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6065 | 0.7781 | 0.7795 | [M:[0.7455, 0.9643, 1.2545, 1.0, 1.0179, 0.7098, 1.0179], q:[0.5, 0.7545], qb:[0.5357, 0.2455], phi:[0.4911]] | t^2.129 + t^2.237 + t^2.344 + t^2.893 + t^3. + 2*t^3.054 + t^3.71 + t^3.763 + t^3.817 + t^4.259 + t^4.366 + 3*t^4.473 + 2*t^4.58 + 2*t^4.688 + t^5.022 + t^5.129 + 2*t^5.183 + t^5.237 + 2*t^5.29 + t^5.344 + 2*t^5.397 + t^5.786 + t^5.839 + t^5.893 + 3*t^5.946 - 2*t^6. - t^4.473/y - t^4.473*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46872 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7146 | 0.8745 | 0.8171 | [M:[0.9798, 0.8466, 1.0202, 1.0, 1.0767, 0.8264], q:[0.5, 0.5202], qb:[0.6534, 0.4798], phi:[0.4617]] | t^2.479 + t^2.54 + t^2.939 + t^3. + t^3.061 + t^3.23 + t^3.399 + t^4.264 + t^4.324 + 2*t^4.385 + t^4.446 + t^4.506 + t^4.784 + t^4.845 + t^4.906 + t^4.958 + t^5.019 + t^5.08 + t^5.305 + t^5.418 + t^5.479 + t^5.54 + t^5.709 + t^5.77 + t^5.879 - 2*t^6. - t^4.385/y - t^4.385*y | detail |