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 |
|---|---|---|---|---|---|---|---|---|---|
| 4784 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }M_{2}M_{8}$ | 0.646 | 0.7906 | 0.8172 | [M:[0.9375, 0.8125, 0.9375, 0.8125, 1.1875, 0.75, 1.25, 1.1875], q:[0.6563, 0.4062], qb:[0.4062, 0.7813], phi:[0.4375]] | [M:[[-22], [-2], [-22], [-2], [2], [8], [-8], [2]], q:[[23], [-1]], qb:[[-1], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{8}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}M_{4}M_{8}$ | -3 | t^2.437 + t^2.625 + 2*t^2.812 + 2*t^3.563 + 3*t^3.75 + t^4.313 + 2*t^4.5 + t^4.875 + t^5.062 + 2*t^5.25 + 2*t^5.437 + 3*t^5.625 - 3*t^6. + 3*t^6.187 + 6*t^6.375 + 4*t^6.562 - 2*t^6.75 + 2*t^7.125 + 5*t^7.312 + 6*t^7.5 + t^7.687 + 2*t^7.875 + 2*t^8.062 + 3*t^8.063 + 5*t^8.25 + t^8.437 - 2*t^8.625 - 5*t^8.812 + 2*t^8.813 - t^4.312/y - t^6.937/y - (2*t^7.125)/y + (2*t^7.5)/y + t^7.688/y + t^8.062/y + (2*t^8.25)/y + (2*t^8.437)/y + t^8.625/y - t^4.312*y - t^6.937*y - 2*t^7.125*y + 2*t^7.5*y + t^7.688*y + t^8.062*y + 2*t^8.25*y + 2*t^8.437*y + t^8.625*y | t^2.437/g1^2 + t^2.625/g1^12 + (2*t^2.812)/g1^22 + 2*g1^2*t^3.563 + (3*t^3.75)/g1^8 + g1^26*t^4.313 + 2*g1^16*t^4.5 + t^4.875/g1^4 + t^5.062/g1^14 + t^5.25/g1^24 + g1^40*t^5.25 + (2*t^5.437)/g1^34 + (3*t^5.625)/g1^44 - 3*t^6. + (3*t^6.187)/g1^10 + (6*t^6.375)/g1^20 + (4*t^6.562)/g1^30 - 2*g1^24*t^6.75 + 2*g1^4*t^7.125 + (5*t^7.312)/g1^6 + (6*t^7.5)/g1^16 + t^7.687/g1^26 + t^7.875/g1^36 + g1^28*t^7.875 + (2*t^8.062)/g1^46 + 3*g1^18*t^8.063 + (3*t^8.25)/g1^56 + 2*g1^8*t^8.25 + (4*t^8.437)/g1^66 - (3*t^8.437)/g1^2 - (2*t^8.625)/g1^12 - (5*t^8.812)/g1^22 + 2*g1^42*t^8.813 - t^4.312/(g1^6*y) - t^6.937/(g1^18*y) - (2*t^7.125)/(g1^28*y) + (2*g1^16*t^7.5)/y + (g1^6*t^7.688)/y + t^8.062/(g1^14*y) + (2*t^8.25)/(g1^24*y) + (2*t^8.437)/(g1^34*y) + t^8.625/(g1^44*y) - (t^4.312*y)/g1^6 - (t^6.937*y)/g1^18 - (2*t^7.125*y)/g1^28 + 2*g1^16*t^7.5*y + g1^6*t^7.688*y + (t^8.062*y)/g1^14 + (2*t^8.25*y)/g1^24 + (2*t^8.437*y)/g1^34 + (t^8.625*y)/g1^44 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6389 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{1}M_{9}$ | 0.6427 | 0.7846 | 0.8192 | [M:[0.9919, 0.8174, 0.9919, 0.8174, 1.1826, 0.7302, 1.2698, 1.1826, 1.0081], q:[0.5994, 0.4087], qb:[0.4087, 0.7738], phi:[0.4523]] | t^2.452 + t^2.714 + t^2.976 + t^3.024 + 2*t^3.548 + 3*t^3.809 + t^4.12 + 2*t^4.381 + t^4.905 + t^4.954 + t^5.166 + t^5.477 + t^5.689 + t^5.738 + t^5.951 - 2*t^6. - t^4.357/y - t^4.357*y | detail | {a: 2580329/4014744, c: 6299723/8029488, M1: 1217/1227, M2: 1003/1227, M3: 1217/1227, M4: 1003/1227, M5: 1451/1227, M6: 896/1227, M7: 1558/1227, M8: 1451/1227, M9: 1237/1227, q1: 1471/2454, q2: 1003/2454, qb1: 1003/2454, qb2: 633/818, phi1: 185/409} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2641 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}M_{7}$ | 0.6618 | 0.8182 | 0.8088 | [M:[0.9341, 0.8122, 0.9341, 0.8122, 1.1878, 0.7512, 1.2488], q:[0.6598, 0.4061], qb:[0.4061, 0.7817], phi:[0.4366]] | 2*t^2.437 + t^2.619 + 2*t^2.802 + t^3.563 + 3*t^3.746 + t^4.325 + 2*t^4.507 + 3*t^4.873 + 2*t^5.056 + 3*t^5.239 + t^5.269 + 2*t^5.422 + 3*t^5.604 - 3*t^6. - t^4.31/y - t^4.31*y | detail |