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 |
|---|---|---|---|---|---|---|---|---|---|
| 54506 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.7387 | 0.9262 | 0.7975 | [M:[1.0, 1.0564, 1.0, 0.8307, 0.8871, 0.6975, 0.8871], q:[0.4153, 0.5847], qb:[0.5282, 0.5847], phi:[0.4718]] | [M:[[-3, 1], [2, 0], [3, -1], [-6, 0], [-1, -1], [7, 0], [-7, 1]], q:[[-3, 0], [6, -1]], qb:[[1, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{1}\phi_{1}^{2}$ | ${}M_{1}^{2}$, ${ }M_{3}^{2}$ | -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 + t^2.661/(g1*g2) + (g2*t^2.661)/g1^7 + t^2.831/g1^2 + (g1^3*t^3.)/g2 + (g2*t^3.)/g1^3 + g1^2*t^3.169 + g1^14*t^4.185 + t^4.246/g1^3 + (g1^2*t^4.415)/g2 + (g2*t^4.415)/g1^4 + 2*g1*t^4.585 + (2*g1^6*t^4.754)/g2 + 2*g2*t^4.754 + 2*g1^5*t^4.923 + (g1^11*t^4.923)/g2^2 + (g2^2*t^4.923)/g1 + t^4.984/g1^12 + (g1^10*t^5.093)/g2 + g1^4*g2*t^5.093 + t^5.153/(g1^7*g2) + (g2*t^5.153)/g1^13 + g1^9*t^5.262 + (2*t^5.323)/g1^8 + t^5.323/(g1^2*g2^2) + (g2^2*t^5.323)/g1^14 + t^5.492/(g1^3*g2) + (g2*t^5.492)/g1^9 + (3*t^5.661)/g1^4 + (g1^2*t^5.661)/g2^2 + (g2^2*t^5.661)/g1^10 + (g1*t^5.831)/g2 + (g2*t^5.831)/g1^5 - 2*t^6. + g1^21*t^6.278 + 2*g1^8*t^6.677 + t^6.738/g1^9 + (2*g1^13*t^6.847)/g2 + 2*g1^7*g2*t^6.847 + t^6.907/(g1^4*g2) + (g2*t^6.907)/g1^10 + 2*g1^12*t^7.016 + (g1^18*t^7.016)/g2^2 + g1^6*g2^2*t^7.016 + (3*t^7.077)/g1^5 + (g1*t^7.077)/g2^2 + (g2^2*t^7.077)/g1^11 + (g1^17*t^7.185)/g2 + g1^11*g2*t^7.185 + (3*t^7.246)/g2 + (3*g2*t^7.246)/g1^6 + g1^16*t^7.355 + (4*t^7.415)/g1 + (3*g1^5*t^7.415)/g2^2 + (3*g2^2*t^7.415)/g1^7 + t^7.476/g1^18 + (g1^10*t^7.585)/g2^3 + (3*g1^4*t^7.585)/g2 + (3*g2*t^7.585)/g1^2 + (g2^3*t^7.585)/g1^8 + t^7.645/(g1^13*g2) + (g2*t^7.645)/g1^19 + 2*g1^3*t^7.754 + (2*g1^9*t^7.754)/g2^2 + (2*g2^2*t^7.754)/g1^3 + (2*t^7.815)/g1^14 + t^7.815/(g1^8*g2^2) + (g2^2*t^7.815)/g1^20 + (g1^14*t^7.923)/g2^3 + (g1^8*t^7.923)/g2 + g1^2*g2*t^7.923 + (g2^3*t^7.923)/g1^4 + t^7.984/(g1^3*g2^3) + (2*t^7.984)/(g1^9*g2) + (2*g2*t^7.984)/g1^15 + (g2^3*t^7.984)/g1^21 - 3*g1^7*t^8.093 + (2*t^8.153)/g1^10 + t^8.153/(g1^4*g2^2) + (g2^2*t^8.153)/g1^16 - (g1^12*t^8.262)/g2 - g1^6*g2*t^8.262 + (g1*t^8.323)/g2^3 + (2*t^8.323)/(g1^5*g2) + (2*g2*t^8.323)/g1^11 + (g2^3*t^8.323)/g1^17 + g1^28*t^8.37 - (2*t^8.492)/g1^6 + t^8.492/g2^2 + (g2^2*t^8.492)/g1^12 - (3*t^8.661)/(g1*g2) - (3*g2*t^8.661)/g1^7 + 2*g1^15*t^8.77 - (2*t^8.831)/g1^2 + (2*g1^20*t^8.939)/g2 + 2*g1^14*g2*t^8.939 - t^4.415/(g1*y) - (g1^6*t^6.508)/y - t^6.907/(g1^7*y) - t^7.077/(g1^2*g2*y) - (g2*t^7.077)/(g1^8*y) + (g1*t^7.585)/y + (2*g1^6*t^7.754)/(g2*y) + (2*g2*t^7.754)/y + (2*g1^5*t^7.923)/y + (g1^10*t^8.093)/(g2*y) + (g1^4*g2*t^8.093)/y + t^8.153/(g1^7*g2*y) + (g2*t^8.153)/(g1^13*y) + (g1^9*t^8.262)/y + (3*t^8.323)/(g1^8*y) + (2*t^8.492)/(g1^3*g2*y) + (2*g2*t^8.492)/(g1^9*y) - (g1^13*t^8.601)/y + (3*t^8.661)/(g1^4*y) + (g1^2*t^8.661)/(g2^2*y) + (g2^2*t^8.661)/(g1^10*y) + (2*g1*t^8.831)/(g2*y) + (2*g2*t^8.831)/(g1^5*y) - (t^4.415*y)/g1 - g1^6*t^6.508*y - (t^6.907*y)/g1^7 - (t^7.077*y)/(g1^2*g2) - (g2*t^7.077*y)/g1^8 + g1*t^7.585*y + (2*g1^6*t^7.754*y)/g2 + 2*g2*t^7.754*y + 2*g1^5*t^7.923*y + (g1^10*t^8.093*y)/g2 + g1^4*g2*t^8.093*y + (t^8.153*y)/(g1^7*g2) + (g2*t^8.153*y)/g1^13 + g1^9*t^8.262*y + (3*t^8.323*y)/g1^8 + (2*t^8.492*y)/(g1^3*g2) + (2*g2*t^8.492*y)/g1^9 - g1^13*t^8.601*y + (3*t^8.661*y)/g1^4 + (g1^2*t^8.661*y)/g2^2 + (g2^2*t^8.661*y)/g1^10 + (2*g1*t^8.831*y)/g2 + (2*g2*t^8.831*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56566 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}X_{1}$ | 0.6852 | 0.8519 | 0.8043 | [X:[1.3333], M:[1.0, 1.1111, 1.0, 0.6667, 0.7778, 0.8889, 0.7778], q:[0.3333, 0.6667], qb:[0.5556, 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: 1, M2: 10/9, M3: 1, M4: 2/3, M5: 7/9, M6: 8/9, M7: 7/9, q1: 1/3, q2: 2/3, qb1: 5/9, qb2: 2/3, phi1: 4/9} |
| 56569 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{8}$ | 0.7441 | 0.9354 | 0.7955 | [M:[1.0, 1.0606, 1.0, 0.8183, 0.8789, 0.7119, 0.8789, 0.9394], q:[0.4092, 0.5908], qb:[0.5303, 0.5908], phi:[0.4697]] | t^2.136 + t^2.455 + 2*t^2.637 + 2*t^2.818 + 2*t^3. + t^4.228 + t^4.272 + 2*t^4.409 + 2*t^4.591 + 4*t^4.772 + t^4.91 + 5*t^4.954 + 2*t^5.092 + 2*t^5.136 + 5*t^5.273 + 4*t^5.455 + 6*t^5.637 + 2*t^5.818 - 3*t^6. - t^4.409/y - t^4.409*y | detail | |
| 56568 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{8}$ | 0.74 | 0.9294 | 0.7963 | [M:[0.9708, 1.0565, 1.0292, 0.8305, 0.9162, 0.6978, 0.8578, 0.9708], q:[0.4152, 0.614], qb:[0.5283, 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 | |
| 56575 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{1}$ | 0.6396 | 0.8003 | 0.7992 | [X:[1.4286], M:[1.0, 1.1429, 1.0, 0.5714, 0.7143, 1.0, 0.7143], q:[0.2857, 0.7143], qb:[0.5714, 0.7143], phi:[0.4286]] | 2*t^2.143 + t^2.571 + 3*t^3. + t^3.429 + t^3.857 + 6*t^4.286 + t^4.714 + 8*t^5.143 + 6*t^5.571 + t^6. - t^4.286/y - t^4.286*y | detail | {a: 1755/2744, c: 549/686, X1: 10/7, M1: 1, M2: 8/7, M3: 1, M4: 4/7, M5: 5/7, M6: 1, M7: 5/7, q1: 2/7, q2: 5/7, qb1: 4/7, qb2: 5/7, phi1: 3/7} |
| 56567 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.7336 | 0.9178 | 0.7993 | [M:[1.0, 1.0523, 1.0, 0.8431, 0.8954, 0.6831, 0.8954, 1.0523], q:[0.4215, 0.5785], qb:[0.5262, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 48297 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.7303 | 0.9135 | 0.7995 | [M:[1.0279, 1.0484, 0.9721, 0.8548, 0.8753, 0.6693], q:[0.4274, 0.5446], qb:[0.5242, 0.6005], phi:[0.4758]] | t^2.008 + t^2.565 + t^2.626 + t^2.855 + t^2.916 + t^3.084 + t^3.145 + t^3.206 + t^4.016 + t^4.282 + t^4.344 + t^4.511 + 2*t^4.573 + 2*t^4.634 + t^4.695 + t^4.802 + 2*t^4.863 + t^4.924 + t^5.031 + t^5.092 + t^5.129 + t^5.153 + t^5.19 + t^5.215 + t^5.252 + t^5.419 + t^5.481 + t^5.542 + 2*t^5.71 + 2*t^5.771 + t^5.832 - 2*t^6. - t^4.427/y - t^4.427*y | detail |