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 |
|---|---|---|---|---|---|---|---|---|---|
| 46521 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.7369 | 0.9109 | 0.809 | [M:[0.7723, 0.7723, 1.0, 1.0, 0.8862], q:[0.6707, 0.5569], qb:[0.5569, 0.4431], phi:[0.4431]] | [M:[[1, 5], [-1, 3], [-1, -1], [1, 1], [0, 2]], q:[[0, -3], [-1, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$ | ${}M_{3}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$ | -1 | 2*t^2.317 + 2*t^2.659 + 2*t^3. + t^3.341 + t^3.988 + 2*t^4.329 + 3*t^4.634 + 4*t^4.671 + 4*t^4.976 + 2*t^5.012 + 6*t^5.317 + t^5.354 + 2*t^5.659 - t^6. + 2*t^6.305 - 2*t^6.341 + 5*t^6.646 - t^6.683 + 4*t^6.951 + 10*t^6.988 + 6*t^7.293 + 10*t^7.329 + 10*t^7.634 + 6*t^7.671 + 7*t^7.976 - 2*t^8.317 - 2*t^8.354 + 3*t^8.622 - 7*t^8.659 - t^8.695 + 8*t^8.963 - t^4.329/y - (2*t^6.646)/y - (2*t^6.988)/y + t^7.634/y + (2*t^7.671)/y + (4*t^7.976)/y + (2*t^8.012)/y + (5*t^8.317)/y + (6*t^8.659)/y - (3*t^8.963)/y - t^4.329*y - 2*t^6.646*y - 2*t^6.988*y + t^7.634*y + 2*t^7.671*y + 4*t^7.976*y + 2*t^8.012*y + 5*t^8.317*y + 6*t^8.659*y - 3*t^8.963*y | (g2^3*t^2.317)/g1 + g1*g2^5*t^2.317 + 2*g2^2*t^2.659 + t^3./(g1*g2) + g1*g2*t^3. + t^3.341/g2^2 + g2^3*t^3.988 + t^4.329/g1 + g1*g2^2*t^4.329 + (g2^6*t^4.634)/g1^2 + g2^8*t^4.634 + g1^2*g2^10*t^4.634 + t^4.671/(g1^2*g2^3) + (2*t^4.671)/g2 + g1^2*g2*t^4.671 + (2*g2^5*t^4.976)/g1 + 2*g1*g2^7*t^4.976 + t^5.012/(g1*g2^4) + (g1*t^5.012)/g2^2 + (g2^2*t^5.317)/g1^2 + 4*g2^4*t^5.317 + g1^2*g2^6*t^5.317 + t^5.354/g2^5 + (g2*t^5.659)/g1 + g1*g2^3*t^5.659 - t^6. + (g2^6*t^6.305)/g1 + g1*g2^8*t^6.305 - t^6.341/(g1*g2^3) - (g1*t^6.341)/g2 + (g2^3*t^6.646)/g1^2 + 3*g2^5*t^6.646 + g1^2*g2^7*t^6.646 - t^6.683/g2^4 + (g2^9*t^6.951)/g1^3 + (g2^11*t^6.951)/g1 + g1*g2^13*t^6.951 + g1^3*g2^15*t^6.951 + t^6.988/g1^3 + (4*g2^2*t^6.988)/g1 + 4*g1*g2^4*t^6.988 + g1^3*g2^6*t^6.988 + (2*g2^8*t^7.293)/g1^2 + 2*g2^10*t^7.293 + 2*g1^2*g2^12*t^7.293 + (3*t^7.329)/(g1^2*g2) + 4*g2*t^7.329 + 3*g1^2*g2^3*t^7.329 + (g2^5*t^7.634)/g1^3 + (4*g2^7*t^7.634)/g1 + 4*g1*g2^9*t^7.634 + g1^3*g2^11*t^7.634 + 2*g1*t^7.671 + t^7.671/(g1^3*g2^4) + (2*t^7.671)/(g1*g2^2) + g1^3*g2^2*t^7.671 + (g2^4*t^7.976)/g1^2 + 5*g2^6*t^7.976 + g1^2*g2^8*t^7.976 - (g2^3*t^8.317)/g1 - g1*g2^5*t^8.317 - t^8.354/(g1*g2^6) - (g1*t^8.354)/g2^4 + (g2^9*t^8.622)/g1^2 + g2^11*t^8.622 + g1^2*g2^13*t^8.622 - t^8.659/g1^2 - 5*g2^2*t^8.659 - g1^2*g2^4*t^8.659 - t^8.695/g2^7 + (g2^6*t^8.963)/g1^3 + (3*g2^8*t^8.963)/g1 + 3*g1*g2^10*t^8.963 + g1^3*g2^12*t^8.963 - (g2*t^4.329)/y - (g2^4*t^6.646)/(g1*y) - (g1*g2^6*t^6.646)/y - (2*g2^3*t^6.988)/y + (g2^8*t^7.634)/y + (2*t^7.671)/(g2*y) + (2*g2^5*t^7.976)/(g1*y) + (2*g1*g2^7*t^7.976)/y + t^8.012/(g1*g2^4*y) + (g1*t^8.012)/(g2^2*y) + (g2^2*t^8.317)/(g1^2*y) + (3*g2^4*t^8.317)/y + (g1^2*g2^6*t^8.317)/y + (3*g2*t^8.659)/(g1*y) + (3*g1*g2^3*t^8.659)/y - (g2^7*t^8.963)/(g1^2*y) - (g2^9*t^8.963)/y - (g1^2*g2^11*t^8.963)/y - g2*t^4.329*y - (g2^4*t^6.646*y)/g1 - g1*g2^6*t^6.646*y - 2*g2^3*t^6.988*y + g2^8*t^7.634*y + (2*t^7.671*y)/g2 + (2*g2^5*t^7.976*y)/g1 + 2*g1*g2^7*t^7.976*y + (t^8.012*y)/(g1*g2^4) + (g1*t^8.012*y)/g2^2 + (g2^2*t^8.317*y)/g1^2 + 3*g2^4*t^8.317*y + g1^2*g2^6*t^8.317*y + (3*g2*t^8.659*y)/g1 + 3*g1*g2^3*t^8.659*y - (g2^7*t^8.963*y)/g1^2 - g2^9*t^8.963*y - g1^2*g2^11*t^8.963*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 |
|---|---|---|---|---|---|---|---|---|
| 47067 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ | 0.706 | 0.8681 | 0.8132 | [M:[0.8498, 1.0, 1.0751, 0.9249, 0.9624], q:[0.5563, 0.5939], qb:[0.4437, 0.4812], phi:[0.4812]] | t^2.549 + t^2.775 + 2*t^2.887 + t^3. + t^3.113 + t^3.225 + t^4.106 + t^4.218 + t^4.331 + t^4.444 + 2*t^4.556 + t^4.669 + t^4.782 + t^4.894 + t^5.007 + t^5.099 + t^5.324 + 2*t^5.437 + t^5.549 + t^5.662 + 4*t^5.775 + t^5.887 - t^4.444/y - t^4.444*y | detail | |
| 46961 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7577 | 0.9523 | 0.7957 | [M:[0.7731, 0.7731, 1.0, 1.0, 0.8866, 0.6702], q:[0.6702, 0.5567], qb:[0.5567, 0.4433], phi:[0.4433]] | t^2.011 + 2*t^2.319 + 2*t^2.66 + 2*t^3. + t^3.34 + t^4.021 + 4*t^4.33 + 3*t^4.639 + 6*t^4.67 + 4*t^4.979 + 4*t^5.011 + 6*t^5.319 + 2*t^5.351 + 2*t^5.66 - t^6. - t^4.33/y - t^4.33*y | detail | |
| 47033 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7476 | 0.931 | 0.803 | [M:[0.7516, 0.7516, 1.0, 1.0, 0.8758, 0.8758], q:[0.6863, 0.5621], qb:[0.5621, 0.4379], phi:[0.4379]] | 2*t^2.255 + 3*t^2.627 + 2*t^3. + t^3.941 + 2*t^4.314 + 3*t^4.51 + 4*t^4.686 + 6*t^4.882 + 2*t^5.059 + 9*t^5.255 + t^5.432 + 2*t^5.627 - 3*t^6. - t^4.314/y - t^4.314*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46233 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.7271 | 0.893 | 0.8142 | [M:[0.7947, 0.7947, 1.0, 1.0], q:[0.654, 0.5513], qb:[0.5513, 0.4487], phi:[0.4487]] | 2*t^2.384 + t^2.692 + 2*t^3. + 2*t^3.308 + t^4.038 + 2*t^4.346 + 4*t^4.654 + 3*t^4.768 + 2*t^4.962 + 2*t^5.076 + t^5.27 + 4*t^5.384 + 2*t^5.692 - t^6. - t^4.346/y - t^4.346*y | detail |