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 |
|---|---|---|---|---|---|---|---|---|---|
| 1081 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6312 | 0.7836 | 0.8055 | [M:[0.7807, 1.2, 0.8193, 0.8, 1.2, 0.7613], q:[0.8, 0.4193], qb:[0.8, 0.3807], phi:[0.4]] | [M:[[1], [0], [-1], [0], [0], [2]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | 1 | t^2.284 + t^2.342 + t^2.4 + t^2.458 + t^3.484 + t^3.542 + 2*t^3.6 + t^3.658 + t^4.568 + t^4.626 + 2*t^4.684 + 2*t^4.742 + 3*t^4.8 + t^4.858 + t^4.916 + t^5.768 + 2*t^5.826 + 3*t^5.884 + 3*t^5.942 + t^6. + t^6.058 + t^6.852 + t^6.91 + 3*t^6.968 + 4*t^7.026 + 5*t^7.084 + 3*t^7.142 + 3*t^7.2 + t^7.258 + t^7.374 + t^8.052 + 2*t^8.11 + 4*t^8.168 + 4*t^8.226 + 3*t^8.284 + t^8.4 - 2*t^8.458 - t^8.516 - t^4.2/y - t^6.484/y - t^6.542/y - t^6.658/y + t^7.626/y + t^7.684/y + (3*t^7.742)/y + t^7.8/y + (2*t^7.858)/y + t^7.916/y + t^8.826/y + (3*t^8.884)/y + (4*t^8.942)/y - t^4.2*y - t^6.484*y - t^6.542*y - t^6.658*y + t^7.626*y + t^7.684*y + 3*t^7.742*y + t^7.8*y + 2*t^7.858*y + t^7.916*y + t^8.826*y + 3*t^8.884*y + 4*t^8.942*y | g1^2*t^2.284 + g1*t^2.342 + t^2.4 + t^2.458/g1 + g1^2*t^3.484 + g1*t^3.542 + 2*t^3.6 + t^3.658/g1 + g1^4*t^4.568 + g1^3*t^4.626 + 2*g1^2*t^4.684 + 2*g1*t^4.742 + 3*t^4.8 + t^4.858/g1 + t^4.916/g1^2 + g1^4*t^5.768 + 2*g1^3*t^5.826 + 3*g1^2*t^5.884 + 3*g1*t^5.942 + t^6. + t^6.058/g1 + g1^6*t^6.852 + g1^5*t^6.91 + 3*g1^4*t^6.968 + 4*g1^3*t^7.026 + 5*g1^2*t^7.084 + 3*g1*t^7.142 + 3*t^7.2 + t^7.258/g1 + t^7.374/g1^3 + g1^6*t^8.052 + 2*g1^5*t^8.11 + 4*g1^4*t^8.168 + 4*g1^3*t^8.226 + 3*g1^2*t^8.284 + t^8.4 - (2*t^8.458)/g1 - t^8.516/g1^2 - t^4.2/y - (g1^2*t^6.484)/y - (g1*t^6.542)/y - t^6.658/(g1*y) + (g1^3*t^7.626)/y + (g1^2*t^7.684)/y + (3*g1*t^7.742)/y + t^7.8/y + (2*t^7.858)/(g1*y) + t^7.916/(g1^2*y) + (g1^3*t^8.826)/y + (3*g1^2*t^8.884)/y + (4*g1*t^8.942)/y - t^4.2*y - g1^2*t^6.484*y - g1*t^6.542*y - (t^6.658*y)/g1 + g1^3*t^7.626*y + g1^2*t^7.684*y + 3*g1*t^7.742*y + t^7.8*y + (2*t^7.858*y)/g1 + (t^7.916*y)/g1^2 + g1^3*t^8.826*y + 3*g1^2*t^8.884*y + 4*g1*t^8.942*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 |
|---|---|---|---|---|---|---|---|---|
| 1682 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6162 | 0.7594 | 0.8115 | [M:[0.7698, 1.2, 0.8302, 0.8, 1.2, 0.7397, 1.1698], q:[0.8, 0.4302], qb:[0.8, 0.3698], phi:[0.4]] | t^2.219 + t^2.309 + t^2.4 + t^3.419 + 2*t^3.509 + 2*t^3.6 + t^3.691 + t^4.438 + t^4.528 + 2*t^4.619 + t^4.709 + 2*t^4.8 + t^5.638 + 3*t^5.728 + 4*t^5.819 + 3*t^5.909 - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 673 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{5}$ | 0.6135 | 0.751 | 0.8169 | [M:[0.8, 1.2, 0.8, 0.8, 1.2], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]] | 3*t^2.4 + 6*t^3.6 + 7*t^4.8 + 9*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1227/2000, c: 751/1000, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, M5: 6/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |