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 |
|---|---|---|---|---|---|---|---|---|---|
| 2657 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6113 | 0.7851 | 0.7787 | [M:[0.9204, 1.0, 1.1804, 0.7401, 1.2599, 0.8196, 0.7003], q:[0.5796, 0.5], qb:[0.2401, 0.7599], phi:[0.4801]] | [M:[[-8], [0], [-7], [-1], [1], [7], [-5]], q:[[8], [0]], qb:[[-1], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{7}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }M_{5}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | 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^6.119 + t^6.302 + t^6.422 + t^6.477 + 4*t^6.541 + 3*t^6.66 + t^6.78 + 2*t^6.899 + t^6.963 + t^7.019 + 2*t^7.082 + 2*t^7.138 + 3*t^7.202 + 5*t^7.321 + 2*t^7.377 + 2*t^7.44 + 2*t^7.56 + t^7.623 + t^7.679 + 2*t^7.743 + 3*t^7.798 + 4*t^7.862 + t^7.918 + 5*t^7.981 + t^8.101 + t^8.22 + t^8.284 + 3*t^8.403 - 3*t^8.459 + 5*t^8.523 + 7*t^8.642 + t^8.698 + 3*t^8.761 - 3*t^8.881 + 2*t^8.936 - t^4.44/y - t^6.541/y - t^7.202/y + (2*t^7.56)/y + (2*t^7.679)/y + t^7.862/y + (3*t^7.981)/y + (3*t^8.101)/y + (2*t^8.22)/y + (3*t^8.34)/y + t^8.459/y + t^8.642/y + (3*t^8.761)/y + (4*t^8.881)/y - t^4.44*y - t^6.541*y - t^7.202*y + 2*t^7.56*y + 2*t^7.679*y + t^7.862*y + 3*t^7.981*y + 3*t^8.101*y + 2*t^8.22*y + 3*t^8.34*y + t^8.459*y + t^8.642*y + 3*t^8.761*y + 4*t^8.881*y | t^2.101/g1^5 + t^2.22/g1 + g1^7*t^2.459 + t^2.761/g1^8 + (2*t^2.881)/g1^4 + t^3. + t^3.66/g1^3 + g1*t^3.78 + g1^9*t^4.019 + t^4.202/g1^10 + t^4.321/g1^6 + (2*t^4.44)/g1^2 + g1^2*t^4.56 + 2*g1^6*t^4.679 + t^4.862/g1^13 + 2*g1^14*t^4.918 + (2*t^4.981)/g1^9 + (3*t^5.101)/g1^5 + t^5.22/g1 + 2*g1^3*t^5.34 + g1^7*t^5.459 + t^5.523/g1^16 + (2*t^5.642)/g1^12 + (4*t^5.761)/g1^8 + (3*t^5.881)/g1^4 - 2*t^6. + g1^4*t^6.119 + t^6.302/g1^15 + t^6.422/g1^11 + g1^16*t^6.477 + (4*t^6.541)/g1^7 + (3*t^6.66)/g1^3 + g1*t^6.78 + 2*g1^5*t^6.899 + t^6.963/g1^18 + g1^9*t^7.019 + (2*t^7.082)/g1^14 + 2*g1^13*t^7.138 + (3*t^7.202)/g1^10 + (5*t^7.321)/g1^6 + 2*g1^21*t^7.377 + (2*t^7.44)/g1^2 + 2*g1^2*t^7.56 + t^7.623/g1^21 + g1^6*t^7.679 + (2*t^7.743)/g1^17 + 3*g1^10*t^7.798 + (4*t^7.862)/g1^13 + g1^14*t^7.918 + (5*t^7.981)/g1^9 + t^8.101/g1^5 + t^8.22/g1 + t^8.284/g1^24 + (3*t^8.403)/g1^20 - 3*g1^7*t^8.459 + (5*t^8.523)/g1^16 + (7*t^8.642)/g1^12 + g1^15*t^8.698 + (3*t^8.761)/g1^8 - (3*t^8.881)/g1^4 + 2*g1^23*t^8.936 - t^4.44/(g1^2*y) - t^6.541/(g1^7*y) - t^7.202/(g1^10*y) + (2*g1^2*t^7.56)/y + (2*g1^6*t^7.679)/y + t^7.862/(g1^13*y) + (3*t^7.981)/(g1^9*y) + (3*t^8.101)/(g1^5*y) + (2*t^8.22)/(g1*y) + (3*g1^3*t^8.34)/y + (g1^7*t^8.459)/y + t^8.642/(g1^12*y) + (3*t^8.761)/(g1^8*y) + (4*t^8.881)/(g1^4*y) - (t^4.44*y)/g1^2 - (t^6.541*y)/g1^7 - (t^7.202*y)/g1^10 + 2*g1^2*t^7.56*y + 2*g1^6*t^7.679*y + (t^7.862*y)/g1^13 + (3*t^7.981*y)/g1^9 + (3*t^8.101*y)/g1^5 + (2*t^8.22*y)/g1 + 3*g1^3*t^8.34*y + g1^7*t^8.459*y + (t^8.642*y)/g1^12 + (3*t^8.761*y)/g1^8 + (4*t^8.881*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4853 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{8}$ | 0.6061 | 0.7767 | 0.7804 | [M:[0.9669, 1.0, 1.2211, 0.7459, 1.2541, 0.7789, 0.7293, 1.0331], q:[0.5331, 0.5], qb:[0.2459, 0.7541], phi:[0.4917]] | t^2.188 + t^2.238 + t^2.337 + 2*t^2.95 + t^3. + t^3.099 + t^3.713 + t^3.762 + t^3.862 + t^4.376 + t^4.426 + 2*t^4.475 + t^4.525 + 2*t^4.574 + 2*t^4.674 + t^5.138 + 3*t^5.188 + 3*t^5.287 + 2*t^5.337 + t^5.436 + 3*t^5.901 + 3*t^5.95 - 2*t^6. - t^4.475/y - t^4.475*y | detail | |
| 4854 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.629 | 0.8165 | 0.7704 | [M:[0.9302, 1.0, 1.1889, 0.7413, 1.2587, 0.8111, 0.7064, 0.7762], q:[0.5698, 0.5], qb:[0.2413, 0.7587], phi:[0.4826]] | 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^4.448/y - t^4.448*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1562 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ | 0.5908 | 0.7459 | 0.7921 | [M:[0.9267, 1.0, 1.1859, 0.7408, 1.2592, 0.8141], q:[0.5733, 0.5], qb:[0.2408, 0.7592], phi:[0.4817]] | t^2.223 + t^2.442 + t^2.78 + 2*t^2.89 + t^3. + t^3.668 + t^3.777 + t^3.887 + t^3.997 + 2*t^4.445 + 2*t^4.665 + 2*t^4.885 + 2*t^5.113 + t^5.223 + 2*t^5.332 + t^5.442 + t^5.56 + 2*t^5.67 + 3*t^5.78 + 2*t^5.89 - 2*t^6. - t^4.445/y - t^4.445*y | detail |