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 |
|---|---|---|---|---|---|---|---|---|---|
| 1376 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.7288 | 0.914 | 0.7974 | [M:[1.0, 0.925, 1.075, 0.85, 0.925, 0.6688], q:[0.425, 0.575], qb:[0.5, 0.575], phi:[0.4812]] | [M:[[0], [-4], [4], [-8], [-4], [9]], q:[[-4], [4]], qb:[[0], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}q_{1}^{2}\tilde{q}_{2}^{2}$ | -1 | t^2.006 + t^2.55 + 2*t^2.775 + t^2.887 + 2*t^3. + t^3.225 + t^4.013 + t^4.219 + 3*t^4.444 + t^4.556 + 2*t^4.669 + 2*t^4.781 + 4*t^4.894 + 2*t^5.006 + t^5.1 + t^5.231 + 2*t^5.325 + t^5.437 + 3*t^5.55 + 2*t^5.662 + 3*t^5.775 + 2*t^5.887 - t^6. + t^6.019 + t^6.113 - t^6.225 + 2*t^6.45 + t^6.563 + 2*t^6.675 + t^6.769 + 2*t^6.788 + 4*t^6.9 + 3*t^6.994 + 2*t^7.013 + t^7.106 + 5*t^7.219 + t^7.238 + 4*t^7.331 + 7*t^7.444 + 2*t^7.556 + t^7.65 + 7*t^7.669 + 4*t^7.781 + 2*t^7.875 + 5*t^7.894 + t^7.987 - 4*t^8.006 + t^8.025 + 3*t^8.1 + 2*t^8.119 + 2*t^8.212 - t^8.231 + 3*t^8.325 + 3*t^8.437 + 2*t^8.456 + t^8.569 + 4*t^8.662 + 2*t^8.681 - 5*t^8.775 + 2*t^8.794 + 2*t^8.887 + 4*t^8.906 - t^4.444/y - t^6.45/y - t^6.994/y - t^7.219/y - t^7.331/y + (2*t^7.556)/y + t^7.669/y + (2*t^7.781)/y + (2*t^7.894)/y + (2*t^8.006)/y + t^8.231/y + (2*t^8.325)/y + (2*t^8.437)/y - t^8.456/y + (3*t^8.55)/y + (2*t^8.662)/y + (5*t^8.775)/y + (2*t^8.887)/y - t^4.444*y - t^6.45*y - t^6.994*y - t^7.219*y - t^7.331*y + 2*t^7.556*y + t^7.669*y + 2*t^7.781*y + 2*t^7.894*y + 2*t^8.006*y + t^8.231*y + 2*t^8.325*y + 2*t^8.437*y - t^8.456*y + 3*t^8.55*y + 2*t^8.662*y + 5*t^8.775*y + 2*t^8.887*y | g1^9*t^2.006 + t^2.55/g1^8 + (2*t^2.775)/g1^4 + t^2.887/g1^2 + 2*t^3. + g1^4*t^3.225 + g1^18*t^4.013 + t^4.219/g1^5 + (3*t^4.444)/g1 + g1*t^4.556 + 2*g1^3*t^4.669 + 2*g1^5*t^4.781 + 4*g1^7*t^4.894 + 2*g1^9*t^5.006 + t^5.1/g1^16 + g1^13*t^5.231 + (2*t^5.325)/g1^12 + t^5.437/g1^10 + (3*t^5.55)/g1^8 + (2*t^5.662)/g1^6 + (3*t^5.775)/g1^4 + (2*t^5.887)/g1^2 - t^6. + g1^27*t^6.019 + g1^2*t^6.113 - g1^4*t^6.225 + 2*g1^8*t^6.45 + g1^10*t^6.563 + 2*g1^12*t^6.675 + t^6.769/g1^13 + 2*g1^14*t^6.788 + 4*g1^16*t^6.9 + (3*t^6.994)/g1^9 + 2*g1^18*t^7.013 + t^7.106/g1^7 + (5*t^7.219)/g1^5 + g1^22*t^7.238 + (4*t^7.331)/g1^3 + (7*t^7.444)/g1 + 2*g1*t^7.556 + t^7.65/g1^24 + 7*g1^3*t^7.669 + 4*g1^5*t^7.781 + (2*t^7.875)/g1^20 + 5*g1^7*t^7.894 + t^7.987/g1^18 - 4*g1^9*t^8.006 + g1^36*t^8.025 + (3*t^8.1)/g1^16 + 2*g1^11*t^8.119 + (2*t^8.212)/g1^14 - g1^13*t^8.231 + (3*t^8.325)/g1^12 + (3*t^8.437)/g1^10 + 2*g1^17*t^8.456 + g1^19*t^8.569 + (4*t^8.662)/g1^6 + 2*g1^21*t^8.681 - (5*t^8.775)/g1^4 + 2*g1^23*t^8.794 + (2*t^8.887)/g1^2 + 4*g1^25*t^8.906 - t^4.444/(g1*y) - (g1^8*t^6.45)/y - t^6.994/(g1^9*y) - t^7.219/(g1^5*y) - t^7.331/(g1^3*y) + (2*g1*t^7.556)/y + (g1^3*t^7.669)/y + (2*g1^5*t^7.781)/y + (2*g1^7*t^7.894)/y + (2*g1^9*t^8.006)/y + (g1^13*t^8.231)/y + (2*t^8.325)/(g1^12*y) + (2*t^8.437)/(g1^10*y) - (g1^17*t^8.456)/y + (3*t^8.55)/(g1^8*y) + (2*t^8.662)/(g1^6*y) + (5*t^8.775)/(g1^4*y) + (2*t^8.887)/(g1^2*y) - (t^4.444*y)/g1 - g1^8*t^6.45*y - (t^6.994*y)/g1^9 - (t^7.219*y)/g1^5 - (t^7.331*y)/g1^3 + 2*g1*t^7.556*y + g1^3*t^7.669*y + 2*g1^5*t^7.781*y + 2*g1^7*t^7.894*y + 2*g1^9*t^8.006*y + g1^13*t^8.231*y + (2*t^8.325*y)/g1^12 + (2*t^8.437*y)/g1^10 - g1^17*t^8.456*y + (3*t^8.55*y)/g1^8 + (2*t^8.662*y)/g1^6 + (5*t^8.775*y)/g1^4 + (2*t^8.887*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2439 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7016 | 0.8843 | 0.7934 | [M:[1.0, 0.8462, 1.1538, 0.6923, 0.8462, 0.8462], q:[0.3462, 0.6538], qb:[0.5, 0.6538], phi:[0.4615]] | t^2.077 + 3*t^2.538 + t^2.769 + 2*t^3. + t^3.462 + t^3.923 + t^4.154 + 3*t^4.385 + 3*t^4.615 + 3*t^4.846 + 6*t^5.077 + 6*t^5.308 + 5*t^5.538 + 2*t^5.769 + t^6. - t^4.385/y - t^4.385*y | detail | {a: 24663/35152, c: 31085/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 11/13, M6: 11/13, q1: 9/26, q2: 17/26, qb1: 1/2, qb2: 17/26, phi1: 6/13} |
| 2442 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.7362 | 0.9263 | 0.7947 | [M:[1.0, 0.9151, 1.0849, 0.8303, 0.9151, 0.6909, 0.9151], q:[0.4151, 0.5849], qb:[0.5, 0.5849], phi:[0.4788]] | t^2.073 + t^2.491 + 3*t^2.745 + t^2.873 + 2*t^3. + t^4.146 + t^4.182 + 3*t^4.436 + t^4.564 + 2*t^4.691 + 3*t^4.818 + 4*t^4.945 + t^4.982 + 2*t^5.073 + 3*t^5.236 + t^5.364 + 6*t^5.491 + 3*t^5.618 + 4*t^5.745 + 2*t^5.873 - 3*t^6. - t^4.436/y - t^4.436*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 |
|---|---|---|---|---|---|---|---|---|---|
| 889 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.708 | 0.8725 | 0.8115 | [M:[1.0, 0.9246, 1.0754, 0.8491, 0.9246], q:[0.4246, 0.5754], qb:[0.5, 0.5754], phi:[0.4811]] | t^2.547 + 2*t^2.774 + t^2.887 + 2*t^3. + t^3.226 + t^3.991 + t^4.217 + 3*t^4.443 + 2*t^4.67 + 3*t^4.896 + t^5.095 + 2*t^5.321 + t^5.434 + 3*t^5.547 + 2*t^5.66 + 3*t^5.774 + 2*t^5.887 - t^6. - t^4.443/y - t^4.443*y | detail |