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 |
|---|---|---|---|---|---|---|---|---|---|
| 1932 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.6381 | 0.7898 | 0.8079 | [X:[1.5044], M:[0.7863, 0.9229, 1.2137, 0.4956, 0.7863], q:[0.4273, 0.7863], qb:[0.359, 0.7181], phi:[0.4273]] | [X:[[7]], M:[[1], [-9], [-1], [-7], [1]], q:[[-2], [1]], qb:[[3], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1 | 2*t^2.359 + t^2.564 + t^2.769 + 3*t^3.436 + t^3.641 + t^3.846 + 2*t^4.513 + 4*t^4.718 + t^4.923 + 2*t^5.128 + t^5.332 + t^5.537 + t^5.59 + 5*t^5.795 + t^6. + 2*t^6.205 + t^6.41 + t^6.614 + 6*t^6.872 + 4*t^7.077 + 2*t^7.282 + 3*t^7.487 + 3*t^7.691 + 2*t^7.896 + 5*t^7.949 + t^8.101 + 7*t^8.154 + t^8.306 - 3*t^8.359 + t^8.564 - t^8.769 + t^8.973 - t^4.282/y - t^6.641/y - t^6.846/y - t^7.051/y + t^7.513/y + (2*t^7.718)/y + (3*t^7.923)/y + (2*t^8.128)/y + t^8.332/y + (6*t^8.795)/y - t^4.282*y - t^6.641*y - t^6.846*y - t^7.051*y + t^7.513*y + 2*t^7.718*y + 3*t^7.923*y + 2*t^8.128*y + t^8.332*y + 6*t^8.795*y | 2*g1*t^2.359 + t^2.564/g1^4 + t^2.769/g1^9 + 3*g1^4*t^3.436 + t^3.641/g1 + t^3.846/g1^6 + 2*g1^7*t^4.513 + 4*g1^2*t^4.718 + t^4.923/g1^3 + (2*t^5.128)/g1^8 + t^5.332/g1^13 + t^5.537/g1^18 + g1^10*t^5.59 + 5*g1^5*t^5.795 + t^6. + (2*t^6.205)/g1^5 + t^6.41/g1^10 + t^6.614/g1^15 + 6*g1^8*t^6.872 + 4*g1^3*t^7.077 + (2*t^7.282)/g1^2 + (3*t^7.487)/g1^7 + (3*t^7.691)/g1^12 + (2*t^7.896)/g1^17 + 5*g1^11*t^7.949 + t^8.101/g1^22 + 7*g1^6*t^8.154 + t^8.306/g1^27 - 3*g1*t^8.359 + t^8.564/g1^4 - t^8.769/g1^9 + t^8.973/g1^14 - t^4.282/(g1^2*y) - t^6.641/(g1*y) - t^6.846/(g1^6*y) - t^7.051/(g1^11*y) + (g1^7*t^7.513)/y + (2*g1^2*t^7.718)/y + (3*t^7.923)/(g1^3*y) + (2*t^8.128)/(g1^8*y) + t^8.332/(g1^13*y) + (6*g1^5*t^8.795)/y - (t^4.282*y)/g1^2 - (t^6.641*y)/g1 - (t^6.846*y)/g1^6 - (t^7.051*y)/g1^11 + g1^7*t^7.513*y + 2*g1^2*t^7.718*y + (3*t^7.923*y)/g1^3 + (2*t^8.128*y)/g1^8 + (t^8.332*y)/g1^13 + 6*g1^5*t^8.795*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 |
|---|---|---|---|---|---|---|---|---|
| 2965 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{2}M_{6}$ | 0.6351 | 0.7891 | 0.8049 | [X:[1.4328], M:[0.7761, 1.015, 1.2239, 0.5672, 0.7761, 0.985], q:[0.4478, 0.7761], qb:[0.3283, 0.6567], phi:[0.4478]] | 2*t^2.328 + t^2.687 + t^2.955 + 3*t^3.313 + t^3.672 + t^4.03 + 2*t^4.298 + 4*t^4.657 + t^5.015 + 3*t^5.283 + 6*t^5.642 + t^5.91 + t^6. - t^4.343/y - t^4.343*y | detail | |
| 2964 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6554 | 0.8206 | 0.7987 | [X:[1.4999], M:[0.7857, 0.9287, 1.2143, 0.5001, 0.7857, 0.7857], q:[0.4286, 0.7857], qb:[0.3571, 0.7142], phi:[0.4286]] | 3*t^2.357 + t^2.572 + t^2.786 + 3*t^3.428 + t^3.857 + 2*t^4.5 + 7*t^4.714 + 2*t^4.929 + 3*t^5.143 + t^5.358 + t^5.571 + t^5.572 + 8*t^5.785 - t^6. - t^4.286/y - t^4.286*y | detail | |
| 2966 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6583 | 0.8285 | 0.7947 | [X:[1.4934], M:[0.7848, 0.937, 1.2152, 0.5066, 0.7848, 0.7086], q:[0.4305, 0.7848], qb:[0.3543, 0.7086], phi:[0.4305]] | t^2.126 + 2*t^2.354 + t^2.583 + t^2.811 + 3*t^3.417 + t^3.646 + t^4.252 + 4*t^4.48 + 5*t^4.709 + 2*t^4.937 + 2*t^5.165 + t^5.394 + 4*t^5.543 + t^5.622 + 6*t^5.772 + t^6. - t^4.291/y - t^4.291*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 |
|---|---|---|---|---|---|---|---|---|---|
| 579 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.7283 | 0.8957 | 0.8131 | [M:[0.9749, 0.82, 1.0251, 0.7699, 0.9749], q:[0.4487, 0.5763], qb:[0.5262, 0.6538], phi:[0.4487]] | t^2.31 + t^2.46 + t^2.692 + 2*t^2.925 + 2*t^3.308 + t^4.039 + t^4.271 + t^4.421 + t^4.503 + t^4.62 + 2*t^4.654 + t^4.77 + t^4.804 + t^4.886 + t^4.92 + t^5.002 + t^5.036 + t^5.153 + 2*t^5.235 + t^5.269 + 2*t^5.385 + 2*t^5.617 + 2*t^5.85 - 2*t^6. - t^4.346/y - t^4.346*y | detail |