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 |
|---|---|---|---|---|---|---|---|---|---|
| 4660 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{5}^{2}$ | 0.7387 | 0.9262 | 0.7975 | [M:[1.0564, 0.8307, 0.8871, 1.0, 1.0, 0.8871, 0.6975, 1.0], q:[0.5282, 0.4153], qb:[0.5847, 0.5847], phi:[0.4718]] | [M:[[2], [-6], [-4], [0], [0], [-4], [7], [0]], q:[[1], [-3]], qb:[[3], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$ | ${}M_{5}M_{8}$, ${ }M_{8}^{2}$ | -2 | t^2.093 + t^2.492 + 2*t^2.661 + t^2.831 + 2*t^3. + t^3.169 + t^4.185 + t^4.246 + 2*t^4.415 + 2*t^4.585 + 4*t^4.754 + 4*t^4.923 + t^4.984 + 2*t^5.093 + 2*t^5.153 + t^5.262 + 4*t^5.323 + 2*t^5.492 + 5*t^5.661 + 2*t^5.831 - 2*t^6. + t^6.278 + 2*t^6.677 + t^6.738 + 4*t^6.847 + 2*t^6.907 + 4*t^7.016 + 5*t^7.077 + 2*t^7.185 + 6*t^7.246 + t^7.355 + 10*t^7.415 + t^7.476 + 8*t^7.585 + 2*t^7.645 + 6*t^7.754 + 4*t^7.815 + 4*t^7.923 + 6*t^7.984 - 3*t^8.093 + 4*t^8.153 - 2*t^8.262 + 6*t^8.323 + t^8.37 - 6*t^8.661 + 2*t^8.77 - 2*t^8.831 + 4*t^8.939 - t^4.415/y - t^6.508/y - t^6.907/y - (2*t^7.077)/y + t^7.585/y + (4*t^7.754)/y + (2*t^7.923)/y + (2*t^8.093)/y + (2*t^8.153)/y + t^8.262/y + (3*t^8.323)/y + (4*t^8.492)/y - t^8.601/y + (5*t^8.661)/y + (4*t^8.831)/y - t^4.415*y - t^6.508*y - t^6.907*y - 2*t^7.077*y + t^7.585*y + 4*t^7.754*y + 2*t^7.923*y + 2*t^8.093*y + 2*t^8.153*y + t^8.262*y + 3*t^8.323*y + 4*t^8.492*y - t^8.601*y + 5*t^8.661*y + 4*t^8.831*y | g1^7*t^2.093 + t^2.492/g1^6 + (2*t^2.661)/g1^4 + t^2.831/g1^2 + 2*t^3. + g1^2*t^3.169 + g1^14*t^4.185 + t^4.246/g1^3 + (2*t^4.415)/g1 + 2*g1*t^4.585 + 4*g1^3*t^4.754 + 4*g1^5*t^4.923 + t^4.984/g1^12 + 2*g1^7*t^5.093 + (2*t^5.153)/g1^10 + g1^9*t^5.262 + (4*t^5.323)/g1^8 + (2*t^5.492)/g1^6 + (5*t^5.661)/g1^4 + (2*t^5.831)/g1^2 - 2*t^6. + g1^21*t^6.278 + 2*g1^8*t^6.677 + t^6.738/g1^9 + 4*g1^10*t^6.847 + (2*t^6.907)/g1^7 + 4*g1^12*t^7.016 + (5*t^7.077)/g1^5 + 2*g1^14*t^7.185 + (6*t^7.246)/g1^3 + g1^16*t^7.355 + (10*t^7.415)/g1 + t^7.476/g1^18 + 8*g1*t^7.585 + (2*t^7.645)/g1^16 + 6*g1^3*t^7.754 + (4*t^7.815)/g1^14 + 4*g1^5*t^7.923 + (6*t^7.984)/g1^12 - 3*g1^7*t^8.093 + (4*t^8.153)/g1^10 - 2*g1^9*t^8.262 + (6*t^8.323)/g1^8 + g1^28*t^8.37 - (6*t^8.661)/g1^4 + 2*g1^15*t^8.77 - (2*t^8.831)/g1^2 + 4*g1^17*t^8.939 - t^4.415/(g1*y) - (g1^6*t^6.508)/y - t^6.907/(g1^7*y) - (2*t^7.077)/(g1^5*y) + (g1*t^7.585)/y + (4*g1^3*t^7.754)/y + (2*g1^5*t^7.923)/y + (2*g1^7*t^8.093)/y + (2*t^8.153)/(g1^10*y) + (g1^9*t^8.262)/y + (3*t^8.323)/(g1^8*y) + (4*t^8.492)/(g1^6*y) - (g1^13*t^8.601)/y + (5*t^8.661)/(g1^4*y) + (4*t^8.831)/(g1^2*y) - (t^4.415*y)/g1 - g1^6*t^6.508*y - (t^6.907*y)/g1^7 - (2*t^7.077*y)/g1^5 + g1*t^7.585*y + 4*g1^3*t^7.754*y + 2*g1^5*t^7.923*y + 2*g1^7*t^8.093*y + (2*t^8.153*y)/g1^10 + g1^9*t^8.262*y + (3*t^8.323*y)/g1^8 + (4*t^8.492*y)/g1^6 - g1^13*t^8.601*y + (5*t^8.661*y)/g1^4 + (4*t^8.831*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6202 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ | 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], 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, q1: 5/9, q2: 1/3, qb1: 2/3, qb2: 2/3, phi1: 4/9} |
| 6212 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{5}^{2}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.7336 | 0.9178 | 0.7993 | [M:[1.0523, 0.8431, 0.8954, 1.0, 1.0, 0.8954, 0.6831, 1.0, 1.0523], q:[0.5262, 0.4215], qb:[0.5785, 0.5785], phi:[0.4738]] | t^2.049 + t^2.529 + 2*t^2.686 + 2*t^3. + 2*t^3.157 + t^4.098 + t^4.265 + 2*t^4.422 + 2*t^4.578 + 4*t^4.735 + 3*t^4.892 + 2*t^5.049 + t^5.059 + 2*t^5.206 + 2*t^5.215 + 3*t^5.372 + 5*t^5.686 + 2*t^5.843 - 3*t^6. - t^4.422/y - t^4.422*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 |