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 |
|---|---|---|---|---|---|---|---|---|---|
| 47904 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.1161 | 1.2318 | 0.9061 | [X:[1.5372], M:[0.9256], q:[0.4215, 0.8843], qb:[0.4215, 0.8843], phi:[0.2314]] | [X:[[0, 0, 2]], M:[[0, 0, -4]], q:[[-1, 0, 5], [0, -1, 1]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$ | ${}\phi_{1}^{5}q_{1}\tilde{q}_{1}$ | -2 | t^2.083 + t^2.529 + t^2.777 + 3*t^3.917 + t^4.165 + 2*t^4.612 + t^4.859 + t^5.058 + 2*t^5.306 + t^5.553 + 4*t^5.876 - 2*t^6. + t^6.248 + 3*t^6.447 + 4*t^6.694 + t^6.942 + 2*t^7.141 + t^7.587 + t^7.636 + 7*t^7.835 + 2*t^8.083 + 2*t^8.33 + 4*t^8.405 - 2*t^8.777 + 3*t^8.976 + t^8.083/y^2 - t^8.777/y^2 - t^3.694/y - t^4.388/y - t^5.777/y - t^6.223/y - (2*t^6.471)/y - t^7.165/y - t^7.612/y - (2*t^8.553)/y - t^8.752/y - t^3.694*y - t^4.388*y - t^5.777*y - t^6.223*y - 2*t^6.471*y - t^7.165*y - t^7.612*y - 2*t^8.553*y - t^8.752*y + t^8.083*y^2 - t^8.777*y^2 | t^2.083/g3^3 + g3^5*t^2.529 + t^2.777/g3^4 + (g1*g3*t^3.917)/g2 + g3^3*t^3.917 + (g2*g3^5*t^3.917)/g1 + t^4.165/g3^6 + 2*g3^2*t^4.612 + t^4.859/g3^7 + g3^10*t^5.058 + 2*g3*t^5.306 + t^5.553/g3^8 + (g1^3*t^5.876)/g3^3 + (g1^2*g2*t^5.876)/g3 + (g3^10*t^5.876)/(g1^2*g2) + (g3^12*t^5.876)/g1^3 - 2*t^6. + t^6.248/g3^9 + (g1*g3^6*t^6.447)/g2 + g3^8*t^6.447 + (g2*g3^10*t^6.447)/g1 + (g1*t^6.694)/(g2*g3^3) + (2*t^6.694)/g3 + (g2*g3*t^6.694)/g1 + t^6.942/g3^10 + 2*g3^7*t^7.141 - (g2*t^7.388)/g1 - (g1*t^7.388)/(g2*g3^4) + (2*t^7.388)/g3^2 + g3^15*t^7.587 + t^7.636/g3^11 + (g1^2*g3^2*t^7.835)/g2^2 + (g1*g3^4*t^7.835)/g2 + 3*g3^6*t^7.835 + (g2*g3^8*t^7.835)/g1 + (g2^2*g3^10*t^7.835)/g1^2 + (2*t^8.083)/g3^3 + (2*t^8.33)/g3^12 + g1^3*g3^2*t^8.405 + g1^2*g2*g3^4*t^8.405 + (g3^15*t^8.405)/(g1^2*g2) + (g3^17*t^8.405)/g1^3 + (g1*g3^3*t^8.529)/g2 - 2*g3^5*t^8.529 + (g2*g3^7*t^8.529)/g1 - (2*t^8.777)/g3^4 + (g1*g3^11*t^8.976)/g2 + g3^13*t^8.976 + (g2*g3^15*t^8.976)/g1 + t^8.083/(g3^3*y^2) - t^8.777/(g3^4*y^2) - t^3.694/(g3*y) - t^4.388/(g3^2*y) - t^5.777/(g3^4*y) - (g3^4*t^6.223)/y - (2*t^6.471)/(g3^5*y) - t^7.165/(g3^6*y) - (g1*t^7.612)/(g2*y) + (g3^2*t^7.612)/y - (g2*g3^4*t^7.612)/(g1*y) - (2*t^8.553)/(g3^8*y) - (g3^9*t^8.752)/y - (t^3.694*y)/g3 - (t^4.388*y)/g3^2 - (t^5.777*y)/g3^4 - g3^4*t^6.223*y - (2*t^6.471*y)/g3^5 - (t^7.165*y)/g3^6 - (g1*t^7.612*y)/g2 + g3^2*t^7.612*y - (g2*g3^4*t^7.612*y)/g1 - (2*t^8.553*y)/g3^8 - g3^9*t^8.752*y + (t^8.083*y^2)/g3^3 - (t^8.777*y^2)/g3^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57423 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ | 1.0293 | 1.1454 | 0.8987 | [X:[1.4286, 1.4286], M:[1.1429], q:[0.2857, 0.8571], qb:[0.2857, 0.8571], phi:[0.2857]] | t^2.571 + 4*t^3.429 + 2*t^4.286 + 6*t^5.143 - t^6. - t^3.857/y - t^4.714/y - t^3.857*y - t^4.714*y | detail | {a: 807/784, c: 449/392, X1: 10/7, X2: 10/7, M1: 8/7, q1: 2/7, q2: 6/7, qb1: 2/7, qb2: 6/7, phi1: 2/7} |
| 57426 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}^{2}$ | 1.1082 | 1.2332 | 0.8986 | [X:[1.5], M:[1.0], q:[0.375, 0.875], qb:[0.375, 0.875], phi:[0.25]] | 2*t^2.25 + t^3. + 3*t^3.75 + 4*t^4.5 + 3*t^5.25 + 4*t^5.625 + 2*t^6. - t^3.75/y - t^4.5/y - (2*t^6.)/y - t^3.75*y - t^4.5*y - 2*t^6.*y | detail | {a: 4539/4096, c: 5051/4096, X1: 3/2, M1: 1, q1: 3/8, q2: 7/8, qb1: 3/8, qb2: 7/8, phi1: 1/4} |
| 57430 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ | 1.1368 | 1.2713 | 0.8942 | [X:[1.539], M:[0.922, 0.6915], q:[0.4237, 0.8847], qb:[0.4237, 0.8847], phi:[0.2305]] | 2*t^2.075 + t^2.542 + t^2.766 + 2*t^3.925 + 3*t^4.149 + 3*t^4.617 + 2*t^4.841 + t^5.085 + 2*t^5.308 + t^5.532 + 4*t^5.888 - t^6. - t^3.692/y - t^4.383/y - (2*t^5.766)/y - t^3.692*y - t^4.383*y - 2*t^5.766*y | detail | |
| 57427 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.0955 | 1.1928 | 0.9184 | [X:[1.535], M:[0.9299, 1.3026], q:[0.4188, 0.8838], qb:[0.4188, 0.8838], phi:[0.2325]] | t^2.513 + t^2.79 + 4*t^3.908 + t^4.605 + t^5.026 + 2*t^5.303 + t^5.58 + 4*t^5.862 - 5*t^6. - t^3.697/y - t^4.395/y - t^3.697*y - t^4.395*y | detail | |
| 57428 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0833 | 1.1667 | 0.9286 | [X:[1.5556, 1.3333], M:[0.8889, 1.1111], q:[0.4444, 0.8889], qb:[0.4444, 0.8889], phi:[0.2222]] | t^2.667 + t^3.333 + 4*t^4. + t^4.667 + 2*t^5.333 - t^3.667/y - t^4.333/y - t^3.667*y - t^4.333*y | detail | {a: 13/12, c: 7/6, X1: 14/9, X2: 4/3, M1: 8/9, M2: 10/9, q1: 4/9, q2: 8/9, qb1: 4/9, qb2: 8/9, phi1: 2/9} |
| 57429 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.1368 | 1.272 | 0.8937 | [X:[1.5384], M:[0.9232, 0.6831], q:[0.4215, 0.8923], qb:[0.4246, 0.8769], phi:[0.2308]] | t^2.049 + t^2.077 + t^2.538 + t^2.77 + t^3.895 + t^3.923 + t^4.099 + t^4.127 + t^4.154 + t^4.587 + 2*t^4.615 + t^4.819 + t^4.847 + t^5.076 + 2*t^5.308 + t^5.539 + 2*t^5.87 + 2*t^5.898 + t^5.944 + t^5.972 - 2*t^6. - t^3.692/y - t^4.385/y - t^5.742/y - t^5.77/y - t^3.692*y - t^4.385*y - t^5.742*y - t^5.77*y | detail | |
| 57425 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0744 | 1.1494 | 0.9347 | [X:[1.6, 1.4], M:[0.8], q:[0.5, 0.9], qb:[0.5, 0.9], phi:[0.2]] | t^2.4 + t^3. + 4*t^4.2 + 2*t^4.8 + 2*t^5.4 - 4*t^6. - t^3.6/y - t^4.2/y - t^6./y - t^3.6*y - t^4.2*y - t^6.*y | detail | {a: 1719/1600, c: 1839/1600, X1: 8/5, X2: 7/5, M1: 4/5, q1: 1/2, q2: 9/10, qb1: 1/2, qb2: 9/10, phi1: 1/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47874 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.4951 | 1.7264 | 0.866 | [M:[0.6735], q:[0.4945, 0.493], qb:[0.4945, 0.493], phi:[0.3375]] | t^2.021 + t^2.025 + t^2.958 + 2*t^2.962 + t^2.967 + t^3.038 + t^3.971 + 2*t^3.975 + t^4.041 + t^4.046 + t^4.05 + t^4.979 + 4*t^4.983 + 5*t^4.987 + 2*t^4.992 + t^5.058 + t^5.063 + 2*t^5.454 + 2*t^5.458 + t^5.916 + 2*t^5.92 + 4*t^5.925 + 2*t^5.929 + t^5.934 + t^5.991 + 2*t^5.996 - t^4.013/y - t^5.025/y - t^4.013*y - t^5.025*y | detail |