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 |
|---|---|---|---|---|---|---|---|---|---|
| 4658 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ | 0.6866 | 0.8552 | 0.8029 | [X:[1.3333], M:[1.1111, 0.6667, 0.7468, 1.031, 0.969, 0.8088, 0.8889, 0.969], q:[0.5556, 0.3333], qb:[0.6976, 0.6357], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [1], [-1], [1], [-1], [0], [1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{8}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}^{2}$ | ${}$ | -2 | t^2.24 + t^2.426 + 2*t^2.667 + 2*t^2.907 + t^3.333 + 2*t^4. + t^4.24 + t^4.426 + t^4.481 + 2*t^4.667 + t^4.853 + 2*t^4.907 + 2*t^5.093 + 3*t^5.147 + 5*t^5.333 + t^5.519 + 4*t^5.574 + 2*t^5.814 - 2*t^6. - t^6.186 + 2*t^6.24 + t^6.481 + 3*t^6.667 + t^6.721 + t^6.853 + 5*t^6.907 + t^7.093 + 3*t^7.147 + t^7.279 + 3*t^7.333 + 3*t^7.388 + t^7.519 + 6*t^7.574 + 4*t^7.76 + 6*t^7.814 + t^7.945 + 6*t^8. + 4*t^8.055 + 2*t^8.186 + 3*t^8.24 - 4*t^8.426 + 5*t^8.481 - t^8.612 - 5*t^8.667 + 3*t^8.721 - t^8.853 - 4*t^8.907 + t^8.962 - t^4.333/y - t^6.574/y - t^6.76/y - t^7./y - t^7.24/y + t^7.426/y + (2*t^7.667)/y + (3*t^7.907)/y + (3*t^8.093)/y + (2*t^8.147)/y + (3*t^8.333)/y + (5*t^8.574)/y + t^8.76/y - t^4.333*y - t^6.574*y - t^6.76*y - t^7.*y - t^7.24*y + t^7.426*y + 2*t^7.667*y + 3*t^7.907*y + 3*t^8.093*y + 2*t^8.147*y + 3*t^8.333*y + 5*t^8.574*y + t^8.76*y | g1*t^2.24 + t^2.426/g1 + 2*t^2.667 + 2*g1*t^2.907 + t^3.333 + 2*t^4. + g1*t^4.24 + t^4.426/g1 + g1^2*t^4.481 + 2*t^4.667 + t^4.853/g1^2 + 2*g1*t^4.907 + (2*t^5.093)/g1 + 3*g1^2*t^5.147 + 5*t^5.333 + t^5.519/g1^2 + 4*g1*t^5.574 + 2*g1^2*t^5.814 - 2*t^6. - t^6.186/g1^2 + 2*g1*t^6.24 + g1^2*t^6.481 + 3*t^6.667 + g1^3*t^6.721 + t^6.853/g1^2 + 5*g1*t^6.907 + t^7.093/g1 + 3*g1^2*t^7.147 + t^7.279/g1^3 + 3*t^7.333 + 3*g1^3*t^7.388 + t^7.519/g1^2 + 6*g1*t^7.574 + (4*t^7.76)/g1 + 6*g1^2*t^7.814 + t^7.945/g1^3 + 6*t^8. + 4*g1^3*t^8.055 + (2*t^8.186)/g1^2 + 3*g1*t^8.24 - (4*t^8.426)/g1 + 5*g1^2*t^8.481 - t^8.612/g1^3 - 5*t^8.667 + 3*g1^3*t^8.721 - t^8.853/g1^2 - 4*g1*t^8.907 + g1^4*t^8.962 - t^4.333/y - (g1*t^6.574)/y - t^6.76/(g1*y) - t^7./y - (g1*t^7.24)/y + t^7.426/(g1*y) + (2*t^7.667)/y + (3*g1*t^7.907)/y + (3*t^8.093)/(g1*y) + (2*g1^2*t^8.147)/y + (3*t^8.333)/y + (5*g1*t^8.574)/y + t^8.76/(g1*y) - t^4.333*y - g1*t^6.574*y - (t^6.76*y)/g1 - t^7.*y - g1*t^7.24*y + (t^7.426*y)/g1 + 2*t^7.667*y + 3*g1*t^7.907*y + (3*t^8.093*y)/g1 + 2*g1^2*t^8.147*y + 3*t^8.333*y + 5*g1*t^8.574*y + (t^8.76*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6235 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{9}$ | 0.6852 | 0.8519 | 0.8043 | [X:[1.3333], M:[1.1111, 0.6667, 0.7778, 1.0, 1.0, 0.7778, 0.8889, 1.0, 1.0], q:[0.5556, 0.3333], qb:[0.6667, 0.6667], phi:[0.4444]] | 2*t^2.333 + 2*t^2.667 + 2*t^3. + t^3.333 + 2*t^4. + 2*t^4.333 + 4*t^4.667 + 4*t^5. + 9*t^5.333 + 4*t^5.667 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 37/54, c: 23/27, X1: 4/3, M1: 10/9, M2: 2/3, M3: 7/9, M4: 1, M5: 1, M6: 7/9, M7: 8/9, M8: 1, M9: 1, q1: 5/9, q2: 1/3, qb1: 2/3, qb2: 2/3, phi1: 4/9} |
| 6233 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{7}M_{9}$ | 0.6766 | 0.8383 | 0.8072 | [X:[1.3333], M:[1.1111, 0.6667, 0.7468, 1.031, 0.969, 0.8088, 0.8889, 0.969, 1.1111], q:[0.5556, 0.3333], qb:[0.6976, 0.6357], phi:[0.4444]] | t^2.24 + t^2.426 + t^2.667 + 2*t^2.907 + 2*t^3.333 + 2*t^4. + t^4.24 + t^4.426 + t^4.481 + 2*t^4.667 + t^4.853 + t^4.907 + t^5.093 + 3*t^5.147 + 3*t^5.333 + t^5.519 + 3*t^5.574 + t^5.76 + 2*t^5.814 - 2*t^6. - t^4.333/y - t^4.333*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2566 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ | 0.74 | 0.9294 | 0.7963 | [M:[1.0565, 0.8305, 0.8578, 1.0292, 0.9708, 0.9162, 0.6978, 0.9708], q:[0.5283, 0.4152], qb:[0.614, 0.5555], phi:[0.4717]] | t^2.093 + t^2.491 + t^2.573 + t^2.749 + t^2.83 + 2*t^2.912 + t^3.17 + t^4.187 + t^4.246 + t^4.328 + t^4.503 + 2*t^4.585 + 2*t^4.667 + t^4.749 + 2*t^4.842 + 2*t^4.924 + t^4.983 + 2*t^5.006 + t^5.065 + t^5.099 + t^5.147 + t^5.24 + t^5.263 + 2*t^5.322 + 2*t^5.404 + 2*t^5.486 + t^5.497 + 3*t^5.661 + 2*t^5.743 + 2*t^5.825 - 3*t^6. - t^4.415/y - t^4.415*y | detail |