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 |
|---|---|---|---|---|---|---|---|---|---|
| 54345 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.629 | 0.8165 | 0.7704 | [M:[0.7413, 0.9302, 1.2587, 1.0, 0.7064, 0.7762], q:[0.5, 0.7587], qb:[0.5698, 0.2413], phi:[0.4826]] | [M:[[1], [8], [-1], [0], [5], [-3]], q:[[0], [-1]], qb:[[-8], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.119 + t^2.224 + t^2.329 + t^2.433 + t^2.791 + 2*t^2.895 + t^3. + t^3.776 + t^3.986 + t^4.238 + t^4.343 + 3*t^4.448 + 2*t^4.552 + 3*t^4.657 + t^4.762 + 2*t^4.866 + t^4.91 + 2*t^5.014 + 4*t^5.119 + 3*t^5.224 + 3*t^5.329 + t^5.433 + t^5.581 + 2*t^5.686 + 3*t^5.791 + 2*t^5.895 - 2*t^6. + t^6.105 + t^6.314 + t^6.357 + t^6.419 + 3*t^6.567 + 3*t^6.671 + 4*t^6.776 + 4*t^6.881 + 4*t^6.986 + t^7.029 + 3*t^7.09 + 2*t^7.134 + 2*t^7.195 + 4*t^7.238 + 2*t^7.3 + 6*t^7.343 + 5*t^7.448 + 5*t^7.552 + 3*t^7.657 + t^7.7 + 4*t^7.762 + 2*t^7.805 + t^7.866 + 4*t^7.91 + 6*t^8.014 + 2*t^8.119 + 2*t^8.224 - 4*t^8.329 + t^8.372 - 2*t^8.433 + 3*t^8.477 - 2*t^8.538 + 4*t^8.581 + 2*t^8.643 + 6*t^8.686 + t^8.747 + 2*t^8.852 - t^8.895 - t^4.448/y - t^6.567/y - t^6.776/y - t^7.238/y + t^7.448/y + (3*t^7.552)/y + (2*t^7.657)/y + t^7.762/y + t^7.91/y + (3*t^8.014)/y + (5*t^8.119)/y + (4*t^8.224)/y + (4*t^8.329)/y + t^8.433/y + t^8.686/y + (2*t^8.791)/y + (2*t^8.895)/y - t^4.448*y - t^6.567*y - t^6.776*y - t^7.238*y + t^7.448*y + 3*t^7.552*y + 2*t^7.657*y + t^7.762*y + t^7.91*y + 3*t^8.014*y + 5*t^8.119*y + 4*t^8.224*y + 4*t^8.329*y + t^8.433*y + t^8.686*y + 2*t^8.791*y + 2*t^8.895*y | g1^5*t^2.119 + g1*t^2.224 + t^2.329/g1^3 + t^2.433/g1^7 + g1^8*t^2.791 + 2*g1^4*t^2.895 + t^3. + t^3.776/g1 + t^3.986/g1^9 + g1^10*t^4.238 + g1^6*t^4.343 + 3*g1^2*t^4.448 + (2*t^4.552)/g1^2 + (3*t^4.657)/g1^6 + t^4.762/g1^10 + (2*t^4.866)/g1^14 + g1^13*t^4.91 + 2*g1^9*t^5.014 + 4*g1^5*t^5.119 + 3*g1*t^5.224 + (3*t^5.329)/g1^3 + t^5.433/g1^7 + g1^16*t^5.581 + 2*g1^12*t^5.686 + 3*g1^8*t^5.791 + 2*g1^4*t^5.895 - 2*t^6. + t^6.105/g1^4 + t^6.314/g1^12 + g1^15*t^6.357 + t^6.419/g1^16 + 3*g1^7*t^6.567 + 3*g1^3*t^6.671 + (4*t^6.776)/g1 + (4*t^6.881)/g1^5 + (4*t^6.986)/g1^9 + g1^18*t^7.029 + (3*t^7.09)/g1^13 + 2*g1^14*t^7.134 + (2*t^7.195)/g1^17 + 4*g1^10*t^7.238 + (2*t^7.3)/g1^21 + 6*g1^6*t^7.343 + 5*g1^2*t^7.448 + (5*t^7.552)/g1^2 + (3*t^7.657)/g1^6 + g1^21*t^7.7 + (4*t^7.762)/g1^10 + 2*g1^17*t^7.805 + t^7.866/g1^14 + 4*g1^13*t^7.91 + 6*g1^9*t^8.014 + 2*g1^5*t^8.119 + 2*g1*t^8.224 - (4*t^8.329)/g1^3 + g1^24*t^8.372 - (2*t^8.433)/g1^7 + 3*g1^20*t^8.477 - (2*t^8.538)/g1^11 + 4*g1^16*t^8.581 + (2*t^8.643)/g1^15 + 6*g1^12*t^8.686 + t^8.747/g1^19 + (2*t^8.852)/g1^23 - g1^4*t^8.895 - (g1^2*t^4.448)/y - (g1^7*t^6.567)/y - t^6.776/(g1*y) - (g1^10*t^7.238)/y + (g1^2*t^7.448)/y + (3*t^7.552)/(g1^2*y) + (2*t^7.657)/(g1^6*y) + t^7.762/(g1^10*y) + (g1^13*t^7.91)/y + (3*g1^9*t^8.014)/y + (5*g1^5*t^8.119)/y + (4*g1*t^8.224)/y + (4*t^8.329)/(g1^3*y) + t^8.433/(g1^7*y) + (g1^12*t^8.686)/y + (2*g1^8*t^8.791)/y + (2*g1^4*t^8.895)/y - g1^2*t^4.448*y - g1^7*t^6.567*y - (t^6.776*y)/g1 - g1^10*t^7.238*y + g1^2*t^7.448*y + (3*t^7.552*y)/g1^2 + (2*t^7.657*y)/g1^6 + (t^7.762*y)/g1^10 + g1^13*t^7.91*y + 3*g1^9*t^8.014*y + 5*g1^5*t^8.119*y + 4*g1*t^8.224*y + (4*t^8.329*y)/g1^3 + (t^8.433*y)/g1^7 + g1^12*t^8.686*y + 2*g1^8*t^8.791*y + 2*g1^4*t^8.895*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 |
|---|---|---|---|---|---|---|---|---|
| 56582 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.6246 | 0.8106 | 0.7706 | [M:[0.7469, 0.9754, 1.2531, 1.0, 0.7346, 0.7592, 1.0246], q:[0.5, 0.7531], qb:[0.5246, 0.2469], phi:[0.4939]] | t^2.204 + t^2.241 + t^2.278 + t^2.315 + 2*t^2.963 + t^3. + t^3.074 + t^3.759 + t^3.833 + t^4.408 + t^4.445 + 3*t^4.482 + 2*t^4.518 + 3*t^4.555 + t^4.592 + 2*t^4.629 + t^5.167 + 3*t^5.204 + 2*t^5.241 + 4*t^5.278 + 2*t^5.315 + t^5.351 + t^5.388 + 2*t^5.926 + 2*t^5.963 - 2*t^6. - t^4.482/y - t^4.482*y | detail | |
| 56585 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.6484 | 0.8521 | 0.761 | [M:[0.741, 0.9279, 1.259, 1.0, 0.7049, 0.777, 0.741], q:[0.5, 0.759], qb:[0.5721, 0.241], phi:[0.482]] | t^2.115 + 2*t^2.223 + t^2.331 + t^2.439 + t^2.784 + 2*t^2.892 + t^3. + t^3.993 + t^4.23 + 2*t^4.338 + 5*t^4.446 + 3*t^4.554 + 4*t^4.662 + t^4.77 + 2*t^4.878 + t^4.899 + 3*t^5.007 + 6*t^5.115 + 4*t^5.223 + 3*t^5.331 + t^5.439 + t^5.567 + 2*t^5.676 + 3*t^5.784 + t^5.892 - 3*t^6. - t^4.446/y - t^4.446*y | detail | |
| 56583 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6263 | 0.8123 | 0.771 | [M:[0.7441, 0.953, 1.2559, 1.0, 0.7206, 0.7676, 1.0235], q:[0.5, 0.7559], qb:[0.547, 0.2441], phi:[0.4882]] | t^2.162 + t^2.232 + t^2.303 + t^2.373 + t^2.859 + t^2.929 + t^3. + t^3.071 + t^3.768 + t^3.909 + t^4.324 + t^4.394 + 3*t^4.465 + 2*t^4.535 + 3*t^4.606 + t^4.676 + 2*t^4.747 + t^5.021 + t^5.091 + 3*t^5.162 + 3*t^5.232 + 3*t^5.303 + 2*t^5.373 + t^5.444 + t^5.718 + t^5.788 + t^5.859 + 2*t^5.929 - t^6. - t^4.465/y - t^4.465*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47208 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6113 | 0.7851 | 0.7787 | [M:[0.7401, 0.9204, 1.2599, 1.0, 0.7003], q:[0.5, 0.7599], qb:[0.5796, 0.2401], phi:[0.4801]] | t^2.101 + t^2.22 + t^2.459 + t^2.761 + 2*t^2.881 + t^3. + t^3.66 + t^3.78 + t^4.019 + t^4.202 + t^4.321 + 2*t^4.44 + t^4.56 + 2*t^4.679 + t^4.862 + 2*t^4.918 + 2*t^4.981 + 3*t^5.101 + t^5.22 + 2*t^5.34 + t^5.459 + t^5.523 + 2*t^5.642 + 4*t^5.761 + 3*t^5.881 - 2*t^6. - t^4.44/y - t^4.44*y | detail |