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 |
|---|---|---|---|---|---|---|---|---|---|
| 46891 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6658 | 0.8247 | 0.8074 | [M:[0.8534, 1.0828, 1.1466, 0.7517, 0.9172], q:[0.3759, 0.7707], qb:[0.5414, 0.4776], phi:[0.4586]] | [M:[[5], [4], [-5], [-12], [-4]], q:[[-6], [1]], qb:[[2], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$ | ${}$ | -2 | t^2.255 + t^2.56 + 2*t^2.752 + t^3.057 + t^3.44 + t^3.631 + 2*t^3.936 + t^4.128 + t^4.241 + t^4.433 + t^4.51 + t^4.624 + t^4.816 + 2*t^5.007 + t^5.121 + 3*t^5.312 + 2*t^5.503 + t^5.617 + t^5.809 + t^5.886 - 2*t^6. + t^6.114 + 3*t^6.191 - t^6.305 + 3*t^6.383 + t^6.497 + 4*t^6.688 + t^6.766 + t^6.802 + t^6.879 + 4*t^6.993 + t^7.071 + 3*t^7.262 + t^7.298 + t^7.376 + 4*t^7.567 + 3*t^7.759 + 3*t^7.872 + 4*t^8.064 + t^8.141 + 2*t^8.178 + 2*t^8.369 + t^8.447 + t^8.483 - 2*t^8.56 + 3*t^8.638 + 2*t^8.674 - 3*t^8.752 + t^8.866 + 5*t^8.943 - t^4.376/y - t^6.631/y - t^7.128/y + t^7.624/y + t^7.816/y + (2*t^8.007)/y + t^8.121/y + (3*t^8.312)/y + t^8.503/y + t^8.617/y + t^8.695/y + (2*t^8.809)/y - t^4.376*y - t^6.631*y - t^7.128*y + t^7.624*y + t^7.816*y + 2*t^8.007*y + t^8.121*y + 3*t^8.312*y + t^8.503*y + t^8.617*y + t^8.695*y + 2*t^8.809*y | t^2.255/g1^12 + g1^5*t^2.56 + (2*t^2.752)/g1^4 + g1^13*t^3.057 + t^3.44/g1^5 + t^3.631/g1^14 + 2*g1^3*t^3.936 + t^4.128/g1^6 + g1^20*t^4.241 + g1^11*t^4.433 + t^4.51/g1^24 + g1^2*t^4.624 + t^4.816/g1^7 + (2*t^5.007)/g1^16 + g1^10*t^5.121 + 3*g1*t^5.312 + (2*t^5.503)/g1^8 + g1^18*t^5.617 + g1^9*t^5.809 + t^5.886/g1^26 - 2*t^6. + g1^26*t^6.114 + (3*t^6.191)/g1^9 - g1^17*t^6.305 + (3*t^6.383)/g1^18 + g1^8*t^6.497 + (4*t^6.688)/g1 + t^6.766/g1^36 + g1^25*t^6.802 + t^6.879/g1^10 + 4*g1^16*t^6.993 + t^7.071/g1^19 + (3*t^7.262)/g1^28 + g1^33*t^7.298 + t^7.376/g1^2 + (4*t^7.567)/g1^11 + (3*t^7.759)/g1^20 + 3*g1^6*t^7.872 + (4*t^8.064)/g1^3 + t^8.141/g1^38 + 2*g1^23*t^8.178 + 2*g1^14*t^8.369 + t^8.447/g1^21 + g1^40*t^8.483 - 2*g1^5*t^8.56 + (3*t^8.638)/g1^30 + 2*g1^31*t^8.674 - (3*t^8.752)/g1^4 + g1^22*t^8.866 + (5*t^8.943)/g1^13 - t^4.376/(g1^2*y) - t^6.631/(g1^14*y) - t^7.128/(g1^6*y) + (g1^2*t^7.624)/y + t^7.816/(g1^7*y) + (2*t^8.007)/(g1^16*y) + (g1^10*t^8.121)/y + (3*g1*t^8.312)/y + t^8.503/(g1^8*y) + (g1^18*t^8.617)/y + t^8.695/(g1^17*y) + (2*g1^9*t^8.809)/y - (t^4.376*y)/g1^2 - (t^6.631*y)/g1^14 - (t^7.128*y)/g1^6 + g1^2*t^7.624*y + (t^7.816*y)/g1^7 + (2*t^8.007*y)/g1^16 + g1^10*t^8.121*y + 3*g1*t^8.312*y + (t^8.503*y)/g1^8 + g1^18*t^8.617*y + (t^8.695*y)/g1^17 + 2*g1^9*t^8.809*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 |
|---|---|---|---|---|---|---|---|---|
| 55311 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6654 | 0.8241 | 0.8075 | [M:[0.8462, 1.0769, 1.1538, 0.7692, 0.9231], q:[0.3846, 0.7692], qb:[0.5385, 0.4615], phi:[0.4615]] | t^2.308 + t^2.538 + 2*t^2.769 + t^3. + t^3.462 + t^3.692 + 2*t^3.923 + 2*t^4.154 + t^4.385 + 2*t^4.615 + t^4.846 + 3*t^5.077 + 3*t^5.308 + 3*t^5.538 + t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 23391/35152, c: 3621/4394, M1: 11/13, M2: 14/13, M3: 15/13, M4: 10/13, M5: 12/13, q1: 5/13, q2: 10/13, qb1: 7/13, qb2: 6/13, phi1: 6/13} |
| 55159 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6836 | 0.8569 | 0.7977 | [M:[0.8445, 1.0756, 1.1555, 0.7732, 0.9244, 0.7646], q:[0.3866, 0.7689], qb:[0.5378, 0.4579], phi:[0.4622]] | t^2.294 + t^2.32 + t^2.534 + 2*t^2.773 + t^2.987 + t^3.466 + 2*t^3.92 + t^4.134 + t^4.16 + t^4.374 + t^4.588 + 2*t^4.613 + t^4.639 + t^4.827 + t^4.853 + 3*t^5.067 + 2*t^5.093 + t^5.281 + 3*t^5.307 + t^5.521 + 2*t^5.546 + 2*t^5.76 + t^5.974 - 2*t^6. - t^4.387/y - t^4.387*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46734 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ | 0.7041 | 0.8617 | 0.8171 | [M:[1.0, 1.0435, 1.0, 0.8694, 0.9565], q:[0.4347, 0.5653], qb:[0.5218, 0.5653], phi:[0.4782]] | t^2.608 + 2*t^2.869 + 2*t^3. + 2*t^3.261 + t^4.043 + t^4.304 + 2*t^4.435 + t^4.565 + 2*t^4.696 + 3*t^4.826 + t^5.217 + 2*t^5.478 + 2*t^5.739 + 4*t^5.869 - 3*t^6. - t^4.435/y - t^4.435*y | detail |