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 |
|---|---|---|---|---|---|---|---|---|---|
| 410 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ | 0.67 | 0.8227 | 0.8144 | [M:[1.0, 1.115, 0.9824, 0.6725], q:[0.7788, 0.4337], qb:[0.5663, 0.4513], phi:[0.4425]] | [M:[[0], [4], [-18], [6]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}q_{2}^{2}$ | ${}$ | -1 | t^2.018 + t^2.655 + t^2.947 + t^3. + t^3.345 + t^3.637 + t^3.69 + t^3.93 + 3*t^4.035 + t^4.327 + t^4.38 + t^4.673 + t^4.725 + t^4.965 + t^5.018 + t^5.31 + t^5.363 + t^5.655 + t^5.708 + t^5.895 + t^5.947 - t^6. + 2*t^6.053 + t^6.292 + t^6.345 + 2*t^6.585 + t^6.637 + 3*t^6.69 + t^6.743 + t^6.877 + 2*t^6.982 + 3*t^7.035 + t^7.275 + t^7.327 + 3*t^7.38 + t^7.567 + 2*t^7.673 + 3*t^7.725 + t^7.859 + t^7.912 + 3*t^7.965 - t^8.018 + 5*t^8.07 + t^8.257 + t^8.363 + 2*t^8.415 + t^8.602 + t^8.708 + 3*t^8.76 + t^8.842 + t^8.895 - 2*t^8.947 - t^4.327/y - t^6.345/y - t^7.275/y + t^7.38/y + t^7.673/y + t^7.965/y + t^8.018/y + t^8.31/y + t^8.602/y + (2*t^8.655)/y + t^8.708/y + (2*t^8.947)/y - t^4.327*y - t^6.345*y - t^7.275*y + t^7.38*y + t^7.673*y + t^7.965*y + t^8.018*y + t^8.31*y + t^8.602*y + 2*t^8.655*y + t^8.708*y + 2*t^8.947*y | g1^6*t^2.018 + t^2.655/g1^4 + t^2.947/g1^18 + t^3. + g1^4*t^3.345 + t^3.637/g1^10 + g1^8*t^3.69 + t^3.93/g1^24 + 3*g1^12*t^4.035 + t^4.327/g1^2 + g1^16*t^4.38 + g1^2*t^4.673 + g1^20*t^4.725 + t^4.965/g1^12 + g1^6*t^5.018 + t^5.31/g1^8 + g1^10*t^5.363 + t^5.655/g1^4 + g1^14*t^5.708 + t^5.895/g1^36 + t^5.947/g1^18 - t^6. + 2*g1^18*t^6.053 + t^6.292/g1^14 + g1^4*t^6.345 + (2*t^6.585)/g1^28 + t^6.637/g1^10 + 3*g1^8*t^6.69 + g1^26*t^6.743 + t^6.877/g1^42 + (2*t^6.982)/g1^6 + 3*g1^12*t^7.035 + t^7.275/g1^20 + t^7.327/g1^2 + 3*g1^16*t^7.38 + t^7.567/g1^34 + 2*g1^2*t^7.673 + 3*g1^20*t^7.725 + t^7.859/g1^48 + t^7.912/g1^30 + (3*t^7.965)/g1^12 - g1^6*t^8.018 + 5*g1^24*t^8.07 + t^8.257/g1^26 + g1^10*t^8.363 + 2*g1^28*t^8.415 + t^8.602/g1^22 + g1^14*t^8.708 + 3*g1^32*t^8.76 + t^8.842/g1^54 + t^8.895/g1^36 - (2*t^8.947)/g1^18 - t^4.327/(g1^2*y) - (g1^4*t^6.345)/y - t^7.275/(g1^20*y) + (g1^16*t^7.38)/y + (g1^2*t^7.673)/y + t^7.965/(g1^12*y) + (g1^6*t^8.018)/y + t^8.31/(g1^8*y) + t^8.602/(g1^22*y) + (2*t^8.655)/(g1^4*y) + (g1^14*t^8.708)/y + (2*t^8.947)/(g1^18*y) - (t^4.327*y)/g1^2 - g1^4*t^6.345*y - (t^7.275*y)/g1^20 + g1^16*t^7.38*y + g1^2*t^7.673*y + (t^7.965*y)/g1^12 + g1^6*t^8.018*y + (t^8.31*y)/g1^8 + (t^8.602*y)/g1^22 + (2*t^8.655*y)/g1^4 + g1^14*t^8.708*y + (2*t^8.947*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 658 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ | 0.6805 | 0.8404 | 0.8097 | [M:[1.0, 1.1174, 0.9715, 0.6762, 0.8826], q:[0.7794, 0.427], qb:[0.573, 0.4555], phi:[0.4413]] | t^2.029 + 2*t^2.648 + t^2.914 + t^3. + t^3.619 + t^3.705 + t^3.886 + 3*t^4.057 + t^4.324 + t^4.409 + 2*t^4.676 + t^4.762 + t^4.943 + t^5.029 + 3*t^5.295 + t^5.562 + 2*t^5.648 + t^5.733 + t^5.829 + t^5.914 - 2*t^6. - t^4.324/y - t^4.324*y | detail | |
| 664 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6565 | 0.8083 | 0.8122 | [M:[1.0, 1.1429, 0.8571, 0.7143], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] | t^2.143 + 2*t^2.571 + t^3. + 3*t^3.429 + t^3.857 + 4*t^4.286 + 3*t^4.714 + 4*t^5.143 + 3*t^5.571 + 4*t^6. - t^4.286/y - t^4.286*y | detail | {a: 3603/5488, c: 1109/1372, M1: 1, M2: 8/7, M3: 6/7, M4: 5/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, phi1: 3/7} |
| 660 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6907 | 0.8634 | 0.8001 | [M:[1.0, 1.1136, 0.989, 0.6703, 0.6814], q:[0.7784, 0.4377], qb:[0.5623, 0.4487], phi:[0.4432]] | t^2.011 + t^2.044 + t^2.659 + t^2.967 + t^3. + t^3.341 + t^3.648 + t^3.681 + 3*t^4.022 + t^4.055 + t^4.088 + t^4.33 + t^4.363 + t^4.67 + 2*t^4.703 + t^4.978 + 2*t^5.011 + t^5.044 + t^5.319 + t^5.352 + t^5.385 + t^5.659 + 2*t^5.692 + t^5.726 + t^5.934 - t^6. - t^4.33/y - t^4.33*y | detail | |
| 659 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6883 | 0.8556 | 0.8045 | [M:[1.0, 1.1178, 0.9699, 0.6767, 0.7644], q:[0.7794, 0.4261], qb:[0.5739, 0.4561], phi:[0.4411]] | t^2.03 + t^2.293 + t^2.647 + t^2.91 + t^3. + t^3.353 + t^3.617 + t^3.88 + 3*t^4.06 + 2*t^4.323 + t^4.414 + t^4.586 + t^4.677 + t^4.767 + 2*t^4.94 + t^5.03 + t^5.203 + 2*t^5.293 + t^5.383 + 2*t^5.647 + t^5.82 + 2*t^5.91 - t^6. - t^4.323/y - t^4.323*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 |
|---|---|---|---|---|---|---|---|---|---|
| 262 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6704 | 0.8228 | 0.8147 | [M:[0.979, 1.1205, 0.979, 0.6807], q:[0.7801, 0.4398], qb:[0.5813, 0.4398], phi:[0.4398]] | t^2.042 + t^2.639 + 2*t^2.937 + t^3.361 + 2*t^3.66 + 2*t^3.958 + 2*t^4.084 + 2*t^4.382 + t^4.681 + t^4.807 + 2*t^4.979 + t^5.277 + t^5.403 + 2*t^5.702 + 3*t^5.874 - 2*t^6. - t^4.319/y - t^4.319*y | detail |