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 |
|---|---|---|---|---|---|---|---|---|---|
| 4375 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}^{2}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6168 | 0.7933 | 0.7775 | [M:[0.8242, 1.1429, 0.8901, 0.7143, 1.0, 1.2857, 0.7143, 0.7472], q:[0.8736, 0.3022], qb:[0.4121, 0.6978], phi:[0.4286]] | [M:[[2], [0], [-2], [0], [0], [0], [0], [-2]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}M_{8}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{8}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{8}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{2}$ | ${}$ | -2 | 2*t^2.143 + t^2.242 + t^2.473 + t^2.67 + t^3. + t^3.099 + 2*t^3.429 + 3*t^4.286 + 2*t^4.384 + t^4.483 + 2*t^4.616 + 2*t^4.714 + 2*t^4.813 + t^4.912 + t^4.945 + 3*t^5.143 + 3*t^5.242 + 2*t^5.34 + t^5.473 + 4*t^5.571 + 2*t^5.67 + t^5.769 + t^5.901 - 2*t^6. + 2*t^6.099 + t^6.198 - t^6.33 + 4*t^6.429 + 4*t^6.527 + 2*t^6.626 + t^6.725 + 2*t^6.758 + 3*t^6.857 + 3*t^6.956 + 2*t^7.055 + 2*t^7.088 + t^7.153 + 2*t^7.286 + 6*t^7.384 + t^7.418 + 5*t^7.483 + 2*t^7.582 + 2*t^7.616 + 6*t^7.714 + 5*t^7.813 + 4*t^7.912 + t^7.945 + 2*t^8.011 + t^8.044 - 3*t^8.143 + t^8.242 + 4*t^8.34 + t^8.374 + 2*t^8.439 - 5*t^8.473 + 4*t^8.571 + 3*t^8.67 + 5*t^8.769 - t^8.802 + 3*t^8.868 + t^8.901 + t^8.966 - t^4.286/y - t^6.429/y - t^6.527/y - t^6.758/y - t^6.956/y + t^7.286/y + (2*t^7.384)/y + (3*t^7.616)/y + t^7.714/y + (3*t^7.813)/y + t^7.912/y + t^8.044/y + (4*t^8.143)/y + (3*t^8.242)/y + t^8.34/y + t^8.473/y + (4*t^8.571)/y + (2*t^8.67)/y + t^8.901/y - t^4.286*y - t^6.429*y - t^6.527*y - t^6.758*y - t^6.956*y + t^7.286*y + 2*t^7.384*y + 3*t^7.616*y + t^7.714*y + 3*t^7.813*y + t^7.912*y + t^8.044*y + 4*t^8.143*y + 3*t^8.242*y + t^8.34*y + t^8.473*y + 4*t^8.571*y + 2*t^8.67*y + t^8.901*y | 2*t^2.143 + t^2.242/g1^2 + g1^2*t^2.473 + t^2.67/g1^2 + t^3. + t^3.099/g1^2 + 2*t^3.429 + 3*t^4.286 + (2*t^4.384)/g1^2 + t^4.483/g1^4 + 2*g1^2*t^4.616 + 2*t^4.714 + (2*t^4.813)/g1^2 + t^4.912/g1^4 + g1^4*t^4.945 + 3*t^5.143 + (3*t^5.242)/g1^2 + (2*t^5.34)/g1^4 + g1^2*t^5.473 + 4*t^5.571 + (2*t^5.67)/g1^2 + t^5.769/g1^4 + g1^2*t^5.901 - 2*t^6. + (2*t^6.099)/g1^2 + t^6.198/g1^4 - g1^2*t^6.33 + 4*t^6.429 + (4*t^6.527)/g1^2 + (2*t^6.626)/g1^4 + t^6.725/g1^6 + 2*g1^2*t^6.758 + 3*t^6.857 + (3*t^6.956)/g1^2 + (2*t^7.055)/g1^4 + 2*g1^4*t^7.088 + t^7.153/g1^6 + 2*t^7.286 + (6*t^7.384)/g1^2 + g1^6*t^7.418 + (5*t^7.483)/g1^4 + (2*t^7.582)/g1^6 + 2*g1^2*t^7.616 + 6*t^7.714 + (5*t^7.813)/g1^2 + (4*t^7.912)/g1^4 + g1^4*t^7.945 + (2*t^8.011)/g1^6 + g1^2*t^8.044 - 3*t^8.143 + t^8.242/g1^2 + (4*t^8.34)/g1^4 + g1^4*t^8.374 + (2*t^8.439)/g1^6 - 5*g1^2*t^8.473 + 4*t^8.571 + (3*t^8.67)/g1^2 + (5*t^8.769)/g1^4 - g1^4*t^8.802 + (3*t^8.868)/g1^6 + g1^2*t^8.901 + t^8.966/g1^8 - t^4.286/y - t^6.429/y - t^6.527/(g1^2*y) - (g1^2*t^6.758)/y - t^6.956/(g1^2*y) + t^7.286/y + (2*t^7.384)/(g1^2*y) + (3*g1^2*t^7.616)/y + t^7.714/y + (3*t^7.813)/(g1^2*y) + t^7.912/(g1^4*y) + (g1^2*t^8.044)/y + (4*t^8.143)/y + (3*t^8.242)/(g1^2*y) + t^8.34/(g1^4*y) + (g1^2*t^8.473)/y + (4*t^8.571)/y + (2*t^8.67)/(g1^2*y) + (g1^2*t^8.901)/y - t^4.286*y - t^6.429*y - (t^6.527*y)/g1^2 - g1^2*t^6.758*y - (t^6.956*y)/g1^2 + t^7.286*y + (2*t^7.384*y)/g1^2 + 3*g1^2*t^7.616*y + t^7.714*y + (3*t^7.813*y)/g1^2 + (t^7.912*y)/g1^4 + g1^2*t^8.044*y + 4*t^8.143*y + (3*t^8.242*y)/g1^2 + (t^8.34*y)/g1^4 + g1^2*t^8.473*y + 4*t^8.571*y + (2*t^8.67*y)/g1^2 + g1^2*t^8.901*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 |
|---|---|---|---|---|---|---|---|---|
| 5859 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}^{2}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}X_{1}$ | 0.5591 | 0.7019 | 0.7965 | [X:[1.3571], M:[0.6429, 1.1429, 1.0714, 0.7143, 1.0, 1.2857, 0.7143, 0.9286], q:[0.9643, 0.3929], qb:[0.3214, 0.6071], phi:[0.4286]] | 2*t^2.143 + t^2.786 + t^3. + t^3.214 + 2*t^3.429 + t^3.643 + t^4.071 + 3*t^4.286 + t^4.714 + 2*t^4.929 + 2*t^5.143 + t^5.357 + 4*t^5.571 + 2*t^5.786 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 12273/21952, c: 15409/21952, X1: 19/14, M1: 9/14, M2: 8/7, M3: 15/14, M4: 5/7, M5: 1, M6: 9/7, M7: 5/7, M8: 13/14, q1: 27/28, q2: 11/28, qb1: 9/28, qb2: 17/28, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2364 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}^{2}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5981 | 0.7588 | 0.7882 | [M:[0.8036, 1.1429, 0.9107, 0.7143, 1.0, 1.2857, 0.7143], q:[0.8839, 0.3125], qb:[0.4018, 0.6875], phi:[0.4286]] | 2*t^2.143 + t^2.411 + t^2.732 + t^3. + t^3.161 + 2*t^3.429 + t^3.696 + 3*t^4.286 + 2*t^4.554 + t^4.714 + t^4.821 + 2*t^4.875 + 3*t^5.143 + 2*t^5.304 + t^5.411 + t^5.464 + 4*t^5.571 + 3*t^5.839 + t^5.893 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 52515/87808, c: 66627/87808, M1: 45/56, M2: 8/7, M3: 51/56, M4: 5/7, M5: 1, M6: 9/7, M7: 5/7, q1: 99/112, q2: 5/16, qb1: 45/112, qb2: 11/16, phi1: 3/7} |