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 |
|---|---|---|---|---|---|---|---|---|---|
| 1946 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5904 | 0.7422 | 0.7955 | [M:[0.9107, 0.8036, 1.0, 0.7143, 1.2857], q:[0.6875, 0.4018], qb:[0.3125, 0.8839], phi:[0.4286]] | [M:[[2], [-2], [0], [0], [0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 51843/87808, c: 65171/87808, M1: 51/56, M2: 45/56, M3: 1, M4: 5/7, M5: 9/7, q1: 11/16, q2: 45/112, qb1: 5/16, qb2: 99/112, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 0 | t^2.143 + t^2.411 + t^2.571 + t^2.732 + t^3. + t^3.161 + t^3.429 + t^3.696 + t^3.857 + t^4.286 + t^4.554 + 2*t^4.714 + t^4.821 + t^4.875 + t^4.982 + 3*t^5.143 + 2*t^5.304 + t^5.411 + t^5.464 + 2*t^5.571 + t^5.732 + t^5.839 + t^5.893 + t^6.107 + t^6.161 + t^6.268 + t^6.321 + 2*t^6.429 + t^6.589 + t^6.696 + t^6.857 + t^6.964 + t^7.125 + t^7.232 + 2*t^7.286 + 2*t^7.393 + 2*t^7.446 + 3*t^7.554 + t^7.607 + 4*t^7.714 + t^7.821 + 3*t^7.875 + t^7.982 + 2*t^8.036 + t^8.196 + t^8.25 + t^8.304 - t^8.411 + 2*t^8.464 + t^8.518 + t^8.571 + t^8.625 + t^8.679 - t^8.732 + t^8.839 + t^8.893 - t^4.286/y - t^6.696/y - t^6.857/y - t^7.018/y + (2*t^7.554)/y + (2*t^7.714)/y + (2*t^7.875)/y + t^7.982/y + (2*t^8.143)/y + (2*t^8.304)/y + t^8.411/y + (3*t^8.571)/y + (2*t^8.732)/y + (2*t^8.839)/y + t^8.893/y - t^4.286*y - t^6.696*y - t^6.857*y - t^7.018*y + 2*t^7.554*y + 2*t^7.714*y + 2*t^7.875*y + t^7.982*y + 2*t^8.143*y + 2*t^8.304*y + t^8.411*y + 3*t^8.571*y + 2*t^8.732*y + 2*t^8.839*y + t^8.893*y | t^2.143 + t^2.411/g1^2 + t^2.571 + g1^2*t^2.732 + t^3. + g1^2*t^3.161 + t^3.429 + t^3.696/g1^2 + t^3.857 + t^4.286 + t^4.554/g1^2 + 2*t^4.714 + t^4.821/g1^4 + g1^2*t^4.875 + t^4.982/g1^2 + 3*t^5.143 + 2*g1^2*t^5.304 + t^5.411/g1^2 + g1^4*t^5.464 + 2*t^5.571 + g1^2*t^5.732 + t^5.839/g1^2 + g1^4*t^5.893 + t^6.107/g1^4 + g1^2*t^6.161 + t^6.268/g1^2 + g1^4*t^6.321 + 2*t^6.429 + g1^2*t^6.589 + t^6.696/g1^2 + t^6.857 + t^6.964/g1^4 + t^7.125/g1^2 + t^7.232/g1^6 + 2*t^7.286 + (2*t^7.393)/g1^4 + 2*g1^2*t^7.446 + (3*t^7.554)/g1^2 + g1^4*t^7.607 + 4*t^7.714 + t^7.821/g1^4 + 3*g1^2*t^7.875 + t^7.982/g1^2 + 2*g1^4*t^8.036 + g1^6*t^8.196 + t^8.25/g1^4 + g1^2*t^8.304 - t^8.411/g1^2 + 2*g1^4*t^8.464 + t^8.518/g1^6 + t^8.571 + g1^6*t^8.625 + t^8.679/g1^4 - g1^2*t^8.732 + t^8.839/g1^2 + g1^4*t^8.893 - t^4.286/y - t^6.696/(g1^2*y) - t^6.857/y - (g1^2*t^7.018)/y + (2*t^7.554)/(g1^2*y) + (2*t^7.714)/y + (2*g1^2*t^7.875)/y + t^7.982/(g1^2*y) + (2*t^8.143)/y + (2*g1^2*t^8.304)/y + t^8.411/(g1^2*y) + (3*t^8.571)/y + (2*g1^2*t^8.732)/y + (2*t^8.839)/(g1^2*y) + (g1^4*t^8.893)/y - t^4.286*y - (t^6.696*y)/g1^2 - t^6.857*y - g1^2*t^7.018*y + (2*t^7.554*y)/g1^2 + 2*t^7.714*y + 2*g1^2*t^7.875*y + (t^7.982*y)/g1^2 + 2*t^8.143*y + 2*g1^2*t^8.304*y + (t^8.411*y)/g1^2 + 3*t^8.571*y + 2*g1^2*t^8.732*y + (2*t^8.839*y)/g1^2 + g1^4*t^8.893*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 |
|---|---|---|---|---|---|---|---|---|
| 2986 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5901 | 0.7419 | 0.7954 | [M:[0.9286, 0.7857, 1.0, 0.7143, 1.2857], q:[0.6786, 0.3929], qb:[0.3214, 0.8929], phi:[0.4286]] | t^2.143 + t^2.357 + t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^3.643 + t^3.857 + t^4.286 + t^4.5 + 3*t^4.714 + 2*t^4.929 + 3*t^5.143 + 3*t^5.357 + 3*t^5.571 + 2*t^5.786 + 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 6477/10976, c: 8143/10976, M1: 13/14, M2: 11/14, M3: 1, M4: 5/7, M5: 9/7, q1: 19/28, q2: 11/28, qb1: 9/28, qb2: 25/28, phi1: 3/7} |
| 2988 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.603 | 0.7637 | 0.7896 | [M:[0.9107, 0.8036, 1.0, 0.7143, 1.2857, 0.8571], q:[0.6875, 0.4018], qb:[0.3125, 0.8839], phi:[0.4286]] | t^2.143 + t^2.411 + 2*t^2.571 + t^2.732 + t^3. + t^3.161 + t^3.696 + t^3.857 + t^4.286 + t^4.554 + 3*t^4.714 + t^4.821 + t^4.875 + 2*t^4.982 + 5*t^5.143 + 3*t^5.304 + t^5.411 + t^5.464 + 2*t^5.571 + 2*t^5.732 + t^5.893 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 52947/87808, c: 67059/87808, M1: 51/56, M2: 45/56, M3: 1, M4: 5/7, M5: 9/7, M6: 6/7, q1: 11/16, q2: 45/112, qb1: 5/16, qb2: 99/112, phi1: 3/7} |
| 2989 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6092 | 0.7767 | 0.7842 | [M:[0.8901, 0.8242, 1.0, 0.7143, 1.2857, 0.7472], q:[0.6978, 0.4121], qb:[0.3022, 0.8736], phi:[0.4286]] | t^2.143 + t^2.242 + t^2.473 + t^2.571 + t^2.67 + t^3. + t^3.099 + t^3.429 + t^3.857 + t^4.286 + t^4.384 + t^4.483 + t^4.616 + 3*t^4.714 + 2*t^4.813 + t^4.912 + t^4.945 + t^5.044 + 3*t^5.143 + 3*t^5.242 + 2*t^5.34 + t^5.473 + 2*t^5.571 + 2*t^5.67 + t^5.769 - t^4.286/y - t^4.286*y | detail | |
| 2987 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5974 | 0.7553 | 0.7909 | [M:[0.9551, 0.7592, 1.0, 0.7143, 1.2857, 0.902], q:[0.6653, 0.3796], qb:[0.3347, 0.9061], phi:[0.4286]] | t^2.143 + t^2.277 + t^2.571 + t^2.706 + t^2.865 + t^3. + t^3.429 + t^3.563 + t^3.857 + t^4.286 + t^4.42 + t^4.555 + 2*t^4.714 + 2*t^4.849 + t^4.984 + t^5.008 + 3*t^5.143 + 2*t^5.277 + t^5.412 + t^5.437 + 2*t^5.571 + 2*t^5.706 + t^5.731 + t^5.841 - t^4.286/y - t^4.286*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 |
|---|---|---|---|---|---|---|---|---|---|
| 610 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ | 0.6976 | 0.853 | 0.8178 | [M:[0.9761, 0.9721, 1.0, 0.9482, 1.0518], q:[0.5379, 0.4861], qb:[0.4621, 0.5657], phi:[0.487]] | t^2.845 + t^2.916 + t^2.922 + t^2.928 + t^3. + t^3.155 + t^3.311 + t^4.234 + t^4.306 + t^4.378 + t^4.461 + t^4.533 + t^4.545 + t^4.617 + t^4.688 + t^4.772 + t^4.856 + t^5.767 + t^5.833 + t^5.839 + 2*t^5.845 + t^5.85 + t^5.856 + t^5.922 - 2*t^6. - t^4.461/y - t^4.461*y | detail |