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 |
|---|---|---|---|---|---|---|---|---|---|
| 3644 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6587 | 0.8488 | 0.776 | [M:[1.1039, 0.7922, 0.75, 0.8539, 1.25, 0.7078], q:[0.75, 0.3961], qb:[0.5, 0.3539], phi:[0.5]] | [M:[[1], [-2], [0], [1], [0], [2]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{5}q_{2}\tilde{q}_{2}$ | -1 | t^2.123 + t^2.25 + t^2.377 + 2*t^2.562 + t^3. + 2*t^3.312 + 2*t^3.75 + t^4.062 + t^4.188 + t^4.247 + t^4.373 + 3*t^4.5 + t^4.627 + 2*t^4.685 + t^4.753 + 2*t^4.812 + 2*t^4.938 + 4*t^5.123 + t^5.25 + t^5.377 + 2*t^5.435 + 3*t^5.562 + t^5.688 + 5*t^5.873 - t^6. + t^6.127 + t^6.185 + 5*t^6.312 + t^6.37 - t^6.438 + t^6.497 + t^6.565 + 7*t^6.623 + 3*t^6.75 + 2*t^6.808 + 2*t^6.877 + 2*t^6.935 + t^7.003 + 7*t^7.062 + t^7.13 - t^7.188 + 4*t^7.247 + 2*t^7.315 + 4*t^7.373 + 5*t^7.5 + 2*t^7.558 - t^7.627 + 7*t^7.685 + t^7.753 + 4*t^7.812 + 5*t^7.997 + t^8.065 + 3*t^8.123 + 2*t^8.25 + t^8.308 - 2*t^8.377 + 9*t^8.435 + t^8.493 + t^8.503 - 3*t^8.562 + t^8.62 + t^8.688 + 7*t^8.747 - t^8.815 + 8*t^8.873 + 2*t^8.931 + t^8.942 - t^4.5/y - t^6.623/y - t^6.877/y - t^7.062/y + t^7.188/y + t^7.373/y + t^7.5/y + t^7.627/y + (2*t^7.685)/y + t^7.812/y + (3*t^7.938)/y + (3*t^8.123)/y + t^8.25/y + (2*t^8.377)/y + (2*t^8.435)/y + (4*t^8.562)/y + (2*t^8.688)/y - t^8.747/y + (6*t^8.873)/y - t^4.5*y - t^6.623*y - t^6.877*y - t^7.062*y + t^7.188*y + t^7.373*y + t^7.5*y + t^7.627*y + 2*t^7.685*y + t^7.812*y + 3*t^7.938*y + 3*t^8.123*y + t^8.25*y + 2*t^8.377*y + 2*t^8.435*y + 4*t^8.562*y + 2*t^8.688*y - t^8.747*y + 6*t^8.873*y | g1^2*t^2.123 + t^2.25 + t^2.377/g1^2 + 2*g1*t^2.562 + t^3. + 2*g1*t^3.312 + 2*t^3.75 + g1*t^4.062 + t^4.188/g1 + g1^4*t^4.247 + g1^2*t^4.373 + 3*t^4.5 + t^4.627/g1^2 + 2*g1^3*t^4.685 + t^4.753/g1^4 + 2*g1*t^4.812 + (2*t^4.938)/g1 + 4*g1^2*t^5.123 + t^5.25 + t^5.377/g1^2 + 2*g1^3*t^5.435 + 3*g1*t^5.562 + t^5.688/g1 + 5*g1^2*t^5.873 - t^6. + t^6.127/g1^2 + g1^3*t^6.185 + 5*g1*t^6.312 + g1^6*t^6.37 - t^6.438/g1 + g1^4*t^6.497 + t^6.565/g1^3 + 7*g1^2*t^6.623 + 3*t^6.75 + 2*g1^5*t^6.808 + (2*t^6.877)/g1^2 + 2*g1^3*t^6.935 + t^7.003/g1^4 + 7*g1*t^7.062 + t^7.13/g1^6 - t^7.188/g1 + 4*g1^4*t^7.247 + (2*t^7.315)/g1^3 + 4*g1^2*t^7.373 + 5*t^7.5 + 2*g1^5*t^7.558 - t^7.627/g1^2 + 7*g1^3*t^7.685 + t^7.753/g1^4 + 4*g1*t^7.812 + 5*g1^4*t^7.997 + t^8.065/g1^3 + 3*g1^2*t^8.123 + 2*t^8.25 + g1^5*t^8.308 - (2*t^8.377)/g1^2 + 9*g1^3*t^8.435 + g1^8*t^8.493 + t^8.503/g1^4 - 3*g1*t^8.562 + g1^6*t^8.62 + t^8.688/g1 + 7*g1^4*t^8.747 - t^8.815/g1^3 + 8*g1^2*t^8.873 + 2*g1^7*t^8.931 + t^8.942/g1^5 - t^4.5/y - (g1^2*t^6.623)/y - t^6.877/(g1^2*y) - (g1*t^7.062)/y + t^7.188/(g1*y) + (g1^2*t^7.373)/y + t^7.5/y + t^7.627/(g1^2*y) + (2*g1^3*t^7.685)/y + (g1*t^7.812)/y + (3*t^7.938)/(g1*y) + (3*g1^2*t^8.123)/y + t^8.25/y + (2*t^8.377)/(g1^2*y) + (2*g1^3*t^8.435)/y + (4*g1*t^8.562)/y + (2*t^8.688)/(g1*y) - (g1^4*t^8.747)/y + (6*g1^2*t^8.873)/y - t^4.5*y - g1^2*t^6.623*y - (t^6.877*y)/g1^2 - g1*t^7.062*y + (t^7.188*y)/g1 + g1^2*t^7.373*y + t^7.5*y + (t^7.627*y)/g1^2 + 2*g1^3*t^7.685*y + g1*t^7.812*y + (3*t^7.938*y)/g1 + 3*g1^2*t^8.123*y + t^8.25*y + (2*t^8.377*y)/g1^2 + 2*g1^3*t^8.435*y + 4*g1*t^8.562*y + (2*t^8.688*y)/g1 - g1^4*t^8.747*y + 6*g1^2*t^8.873*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 |
|---|---|---|---|---|---|---|---|---|
| 3921 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ | 0.6229 | 0.7843 | 0.7941 | [X:[1.3333], M:[1.1667, 0.6667, 0.75, 0.9167, 1.25, 0.8333], q:[0.75, 0.3333], qb:[0.5, 0.4167], phi:[0.5]] | t^2.25 + t^2.5 + 2*t^2.75 + t^3. + 2*t^3.5 + 2*t^3.75 + 2*t^4. + t^4.25 + 2*t^4.5 + t^4.75 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + 2*t^5.75 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 3827/6144, c: 4819/6144, X1: 4/3, M1: 7/6, M2: 2/3, M3: 3/4, M4: 11/12, M5: 5/4, M6: 5/6, q1: 3/4, q2: 1/3, qb1: 1/2, qb2: 5/12, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3226 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{3}M_{5}$ | 0.6385 | 0.8103 | 0.7879 | [M:[1.1114, 0.7771, 0.75, 0.8614, 1.25], q:[0.75, 0.3886], qb:[0.5, 0.3614], phi:[0.5]] | t^2.25 + t^2.331 + 2*t^2.584 + t^3. + 2*t^3.334 + 2*t^3.75 + t^3.831 + t^4.084 + t^4.166 + 2*t^4.5 + t^4.581 + t^4.663 + 2*t^4.834 + 2*t^4.916 + 3*t^5.169 + t^5.25 + t^5.331 + 3*t^5.584 + t^5.666 + 3*t^5.919 - t^6. - t^4.5/y - t^4.5*y | detail |