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 |
|---|---|---|---|---|---|---|---|---|---|
| 2100 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6106 | 0.7803 | 0.7826 | [M:[0.9107, 0.8036, 1.0, 0.7143, 1.2857, 0.7143], q:[0.6875, 0.4018], qb:[0.3125, 0.8839], phi:[0.4286]] | [M:[[2], [-2], [0], [0], [0], [0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 53619/87808, c: 68515/87808, M1: 51/56, M2: 45/56, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, 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 |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | -1 | 2*t^2.143 + t^2.411 + t^2.571 + t^2.732 + t^3. + t^3.161 + t^3.429 + t^3.696 + 3*t^4.286 + 2*t^4.554 + 3*t^4.714 + t^4.821 + 2*t^4.875 + t^4.982 + 4*t^5.143 + 3*t^5.304 + t^5.411 + t^5.464 + 3*t^5.571 + t^5.732 + 2*t^5.839 + t^5.893 - t^6. + t^6.107 + t^6.161 + t^6.321 + 4*t^6.429 + 3*t^6.696 + 3*t^6.857 + 2*t^6.964 + t^7.018 + 2*t^7.125 + t^7.232 + 5*t^7.286 + 2*t^7.393 + 5*t^7.446 + 3*t^7.554 + 2*t^7.607 + 6*t^7.714 + t^7.821 + 4*t^7.875 + 3*t^7.982 + 3*t^8.036 - 2*t^8.143 + t^8.196 + 2*t^8.25 + 2*t^8.304 - 2*t^8.411 + 3*t^8.464 + t^8.518 + 3*t^8.571 + t^8.625 - 2*t^8.732 + 3*t^8.839 + t^8.893 - t^4.286/y - t^6.429/y - t^6.696/y - t^6.857/y - t^7.018/y + t^7.286/y + (3*t^7.554)/y + (3*t^7.714)/y + (3*t^7.875)/y + t^7.982/y + (4*t^8.143)/y + (3*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^6.429*y - t^6.696*y - t^6.857*y - t^7.018*y + t^7.286*y + 3*t^7.554*y + 3*t^7.714*y + 3*t^7.875*y + t^7.982*y + 4*t^8.143*y + 3*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 | 2*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 + 3*t^4.286 + (2*t^4.554)/g1^2 + 3*t^4.714 + t^4.821/g1^4 + 2*g1^2*t^4.875 + t^4.982/g1^2 + 4*t^5.143 + 3*g1^2*t^5.304 + t^5.411/g1^2 + g1^4*t^5.464 + 3*t^5.571 + g1^2*t^5.732 + (2*t^5.839)/g1^2 + g1^4*t^5.893 - t^6. + t^6.107/g1^4 + g1^2*t^6.161 + g1^4*t^6.321 + 4*t^6.429 + (3*t^6.696)/g1^2 + 3*t^6.857 + (2*t^6.964)/g1^4 + g1^2*t^7.018 + (2*t^7.125)/g1^2 + t^7.232/g1^6 + 5*t^7.286 + (2*t^7.393)/g1^4 + 5*g1^2*t^7.446 + (3*t^7.554)/g1^2 + 2*g1^4*t^7.607 + 6*t^7.714 + t^7.821/g1^4 + 4*g1^2*t^7.875 + (3*t^7.982)/g1^2 + 3*g1^4*t^8.036 - 2*t^8.143 + g1^6*t^8.196 + (2*t^8.25)/g1^4 + 2*g1^2*t^8.304 - (2*t^8.411)/g1^2 + 3*g1^4*t^8.464 + t^8.518/g1^6 + 3*t^8.571 + g1^6*t^8.625 - 2*g1^2*t^8.732 + (3*t^8.839)/g1^2 + g1^4*t^8.893 - t^4.286/y - t^6.429/y - t^6.696/(g1^2*y) - t^6.857/y - (g1^2*t^7.018)/y + t^7.286/y + (3*t^7.554)/(g1^2*y) + (3*t^7.714)/y + (3*g1^2*t^7.875)/y + t^7.982/(g1^2*y) + (4*t^8.143)/y + (3*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^6.429*y - (t^6.696*y)/g1^2 - t^6.857*y - g1^2*t^7.018*y + t^7.286*y + (3*t^7.554*y)/g1^2 + 3*t^7.714*y + 3*g1^2*t^7.875*y + (t^7.982*y)/g1^2 + 4*t^8.143*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 3171 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6103 | 0.78 | 0.7825 | [M:[0.9286, 0.7857, 1.0, 0.7143, 1.2857, 0.7143], q:[0.6786, 0.3929], qb:[0.3214, 0.8929], phi:[0.4286]] | 2*t^2.143 + t^2.357 + t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^3.643 + 3*t^4.286 + 2*t^4.5 + 4*t^4.714 + 3*t^4.929 + 4*t^5.143 + 4*t^5.357 + 4*t^5.571 + 3*t^5.786 + t^6. - t^4.286/y - t^4.286*y | detail | {a: 957/1568, c: 1223/1568, M1: 13/14, M2: 11/14, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, q1: 19/28, q2: 11/28, qb1: 9/28, qb2: 25/28, phi1: 3/7} |
| 3173 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6232 | 0.8018 | 0.7773 | [M:[0.9107, 0.8036, 1.0, 0.7143, 1.2857, 0.7143, 0.8571], q:[0.6875, 0.4018], qb:[0.3125, 0.8839], phi:[0.4286]] | 2*t^2.143 + t^2.411 + 2*t^2.571 + t^2.732 + t^3. + t^3.161 + t^3.696 + 3*t^4.286 + 2*t^4.554 + 5*t^4.714 + t^4.821 + 2*t^4.875 + 2*t^4.982 + 6*t^5.143 + 4*t^5.304 + t^5.411 + t^5.464 + 2*t^5.571 + 2*t^5.732 + t^5.839 + t^5.893 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 54723/87808, c: 70403/87808, M1: 51/56, M2: 45/56, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, M7: 6/7, q1: 11/16, q2: 45/112, qb1: 5/16, qb2: 99/112, phi1: 3/7} |
| 3175 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6294 | 0.8148 | 0.7724 | [M:[0.8901, 0.8242, 1.0, 0.7143, 1.2857, 0.7143, 0.7472], q:[0.6978, 0.4121], qb:[0.3022, 0.8736], phi:[0.4286]] | 2*t^2.143 + t^2.242 + t^2.473 + t^2.571 + t^2.67 + t^3. + t^3.099 + t^3.429 + 3*t^4.286 + 2*t^4.384 + t^4.483 + 2*t^4.616 + 4*t^4.714 + 3*t^4.813 + t^4.912 + t^4.945 + t^5.044 + 4*t^5.143 + 4*t^5.242 + 2*t^5.34 + t^5.473 + 3*t^5.571 + 2*t^5.67 + t^5.769 - t^6. - t^4.286/y - t^4.286*y | detail | |
| 3172 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6177 | 0.7934 | 0.7785 | [M:[0.9551, 0.7592, 1.0, 0.7143, 1.2857, 0.7143, 0.902], q:[0.6653, 0.3796], qb:[0.3347, 0.9061], phi:[0.4286]] | 2*t^2.143 + t^2.277 + t^2.571 + t^2.706 + t^2.865 + t^3. + t^3.429 + t^3.563 + 3*t^4.286 + 2*t^4.42 + t^4.555 + 3*t^4.714 + 3*t^4.849 + t^4.984 + 2*t^5.008 + 4*t^5.143 + 2*t^5.277 + t^5.412 + t^5.437 + 3*t^5.571 + 3*t^5.706 + t^5.731 + t^5.841 - t^6. - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 990 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ | 0.7033 | 0.8629 | 0.815 | [M:[0.9677, 0.9602, 1.0, 0.9279, 1.0721, 0.9279], q:[0.5522, 0.4801], qb:[0.4478, 0.592], phi:[0.482]] | 2*t^2.784 + t^2.881 + t^2.892 + t^2.903 + t^3. + t^3.433 + t^4.133 + t^4.23 + t^4.326 + t^4.446 + t^4.543 + t^4.565 + t^4.662 + t^4.759 + t^4.878 + t^4.998 + 2*t^5.567 + t^5.664 + 2*t^5.676 + t^5.687 + t^5.761 + t^5.772 + 3*t^5.784 + t^5.795 + t^5.806 + t^5.892 - 3*t^6. - t^4.446/y - t^4.446*y | detail |