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 |
|---|---|---|---|---|---|---|---|---|---|
| 57380 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.4443 | 1.6269 | 0.8878 | [X:[1.3565], M:[0.9391], q:[0.5652, 0.5479], qb:[0.4435, 0.513], phi:[0.3217]] | [X:[[0, 2]], M:[[3, -23]], q:[[2, -11], [-4, 23]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.817 + t^2.896 + t^2.974 + t^3.026 + t^3.235 + t^3.939 + t^3.991 + t^4.07 + t^4.148 + t^4.2 + t^4.904 + t^4.956 + t^5.113 + 2*t^5.165 + t^5.374 + t^5.634 + t^5.713 + t^5.791 + t^5.843 + t^5.87 + t^5.922 + t^5.948 - 2*t^6. + t^6.052 + 2*t^6.13 + t^6.261 + t^6.339 + t^6.469 + t^6.808 + t^6.835 + 3*t^6.887 + t^6.913 + 2*t^6.965 + t^7.017 + 2*t^7.044 + 3*t^7.096 + t^7.122 + t^7.174 + t^7.226 + 2*t^7.304 + t^7.383 + t^7.435 + t^7.513 + t^7.774 + t^7.827 + t^7.852 + 2*t^7.879 + 2*t^7.93 + 3*t^7.982 + 2*t^8.061 + 2*t^8.087 + 3*t^8.139 + 3*t^8.191 + t^8.269 + t^8.296 + 2*t^8.348 + 3*t^8.4 + t^8.452 + t^8.53 + 2*t^8.608 + t^8.66 + t^8.687 - t^8.713 + t^8.739 - 2*t^8.817 + 2*t^8.844 + t^8.869 + 2*t^8.948 - 3*t^8.974 + t^8.896/y^2 - t^3.965/y - t^4.93/y - t^6.782/y - t^6.861/y - t^6.939/y - t^6.991/y - t^7.2/y - t^7.748/y - t^7.826/y - t^7.904/y - t^7.956/y - t^8.165/y + t^8.713/y + t^8.791/y + t^8.843/y - t^3.965*y - t^4.93*y - t^6.782*y - t^6.861*y - t^6.939*y - t^6.991*y - t^7.2*y - t^7.748*y - t^7.826*y - t^7.904*y - t^7.956*y - t^8.165*y + t^8.713*y + t^8.791*y + t^8.843*y + t^8.896*y^2 | (g1^3*t^2.817)/g2^23 + t^2.896/g2^3 + (g2^17*t^2.974)/g1^3 + (g1^3*t^3.026)/g2^17 + (g1^3*t^3.235)/g2^11 + (g2^16*t^3.939)/g1^3 + (g1^3*t^3.991)/g2^18 + g2^2*t^4.07 + (g2^22*t^4.148)/g1^3 + (g1^3*t^4.2)/g2^12 + (g2^15*t^4.904)/g1^3 + (g1^3*t^4.956)/g2^19 + (g2^21*t^5.113)/g1^3 + (2*g1^3*t^5.165)/g2^13 + (g1^3*t^5.374)/g2^7 + (g1^6*t^5.634)/g2^46 + (g1^3*t^5.713)/g2^26 + t^5.791/g2^6 + (g1^6*t^5.843)/g2^40 + (g2^14*t^5.87)/g1^3 + (g1^3*t^5.922)/g2^20 + (g2^34*t^5.948)/g1^6 - 2*t^6. + (g1^6*t^6.052)/g2^34 + (2*g1^3*t^6.13)/g2^14 + (g1^6*t^6.261)/g2^28 + (g1^3*t^6.339)/g2^8 + (g1^6*t^6.469)/g2^22 + (g1^6*t^6.808)/g2^41 + (g2^13*t^6.835)/g1^3 + (3*g1^3*t^6.887)/g2^21 + (g2^33*t^6.913)/g1^6 + (2*t^6.965)/g2 + (g1^6*t^7.017)/g2^35 + (2*g2^19*t^7.044)/g1^3 + (3*g1^3*t^7.096)/g2^15 + (g2^39*t^7.122)/g1^6 + g2^5*t^7.174 + (g1^6*t^7.226)/g2^29 + (2*g1^3*t^7.304)/g2^9 + g2^11*t^7.383 + (g1^6*t^7.435)/g2^23 + (g1^3*t^7.513)/g2^3 + (g1^6*t^7.774)/g2^42 + (g2^66*t^7.827)/g1^12 + (g1^3*t^7.852)/g2^22 + (2*g2^32*t^7.879)/g1^6 + (2*t^7.93)/g2^2 + (3*g1^6*t^7.982)/g2^36 + (2*g1^3*t^8.061)/g2^16 + (2*g2^38*t^8.087)/g1^6 + 3*g2^4*t^8.139 + (3*g1^6*t^8.191)/g2^30 + (g1^3*t^8.269)/g2^10 + (g2^44*t^8.296)/g1^6 + 2*g2^10*t^8.348 + (3*g1^6*t^8.4)/g2^24 + (g1^9*t^8.452)/g2^69 + (g1^6*t^8.53)/g2^49 + (g1^3*t^8.608)/g2^29 + (g1^6*t^8.608)/g2^18 + (g1^9*t^8.66)/g2^63 + t^8.687/g2^9 - (g2^45*t^8.713)/g1^9 + (g1^6*t^8.739)/g2^43 - (2*g1^3*t^8.817)/g2^23 + (2*g2^31*t^8.844)/g1^6 + (g1^9*t^8.869)/g2^57 + (2*g1^6*t^8.948)/g2^37 - (3*g2^17*t^8.974)/g1^3 + t^8.896/(g2^3*y^2) - t^3.965/(g2*y) - t^4.93/(g2^2*y) - (g1^3*t^6.782)/(g2^24*y) - t^6.861/(g2^4*y) - (g2^16*t^6.939)/(g1^3*y) - (g1^3*t^6.991)/(g2^18*y) - (g1^3*t^7.2)/(g2^12*y) - (g1^3*t^7.748)/(g2^25*y) - t^7.826/(g2^5*y) - (g2^15*t^7.904)/(g1^3*y) - (g1^3*t^7.956)/(g2^19*y) - (g1^3*t^8.165)/(g2^13*y) + (g1^3*t^8.713)/(g2^26*y) + t^8.791/(g2^6*y) + (g1^6*t^8.843)/(g2^40*y) - (t^3.965*y)/g2 - (t^4.93*y)/g2^2 - (g1^3*t^6.782*y)/g2^24 - (t^6.861*y)/g2^4 - (g2^16*t^6.939*y)/g1^3 - (g1^3*t^6.991*y)/g2^18 - (g1^3*t^7.2*y)/g2^12 - (g1^3*t^7.748*y)/g2^25 - (t^7.826*y)/g2^5 - (g2^15*t^7.904*y)/g1^3 - (g1^3*t^7.956*y)/g2^19 - (g1^3*t^8.165*y)/g2^13 + (g1^3*t^8.713*y)/g2^26 + (t^8.791*y)/g2^6 + (g1^6*t^8.843*y)/g2^40 + (t^8.896*y^2)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58476 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4405 | 1.6252 | 0.8864 | [X:[1.3395], M:[1.0092], q:[0.5751, 0.5196], qb:[0.4527, 0.4711], phi:[0.3303]] | t^2.92 + t^2.97 + t^3.03 + t^3.08 + t^3.14 + t^3.91 + t^3.96 + t^4.02 + t^4.07 + t^4.13 + t^4.9 + t^4.95 + t^5.06 + 2*t^5.12 + t^5.18 + t^5.83 + t^5.89 + t^5.94 - t^6. - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*y | detail | |
| 58477 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.4432 | 1.6261 | 0.8876 | [X:[1.3499], M:[0.9752], q:[0.5748, 0.5253], qb:[0.45, 0.4995], phi:[0.3251]] | 3*t^2.93 + t^3.07 + t^3.22 + t^3.9 + 3*t^4.05 + t^4.2 + t^4.88 + 2*t^5.02 + 2*t^5.17 + t^5.32 + 5*t^5.85 - t^3.98/y - t^4.95/y - t^3.98*y - t^4.95*y | detail | |
| 58479 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4651 | 1.6675 | 0.8786 | [X:[1.3564], M:[0.9376, 0.6851], q:[0.564, 0.5502], qb:[0.4429, 0.5122], phi:[0.3218]] | t^2.06 + t^2.81 + t^2.9 + t^2.98 + t^3.02 + t^3.23 + t^3.99 + t^4.07 + t^4.11 + t^4.15 + t^4.19 + t^4.87 + t^4.91 + 2*t^4.95 + t^5.03 + t^5.08 + t^5.12 + 2*t^5.16 + t^5.28 + t^5.37 + t^5.63 + t^5.71 + t^5.79 + t^5.83 + t^5.88 + t^5.92 + t^5.96 - 2*t^6. - t^3.97/y - t^4.93/y - t^3.97*y - t^4.93*y | detail | |
| 58478 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.4441 | 1.6272 | 0.8875 | [X:[1.3571], M:[0.9286], q:[0.5595, 0.5595], qb:[0.4405, 0.5119], phi:[0.3214]] | t^2.79 + t^2.89 + 2*t^3. + t^3.21 + 2*t^3.96 + t^4.07 + 2*t^4.18 + 2*t^4.93 + 3*t^5.14 + t^5.36 + t^5.57 + t^5.68 + 2*t^5.79 + 2*t^5.89 - t^3.96/y - t^4.93/y - t^3.96*y - t^4.93*y | detail | |
| 58475 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4269 | 1.6011 | 0.8912 | [X:[1.3941], M:[0.8471], q:[0.5853, 0.5264], qb:[0.4441, 0.6265], phi:[0.3029]] | t^2.54 + t^2.73 + t^2.91 + t^3.09 + t^3.64 + t^3.82 + t^4. + t^4.18 + t^4.37 + t^4.54 + t^4.73 + t^4.91 + t^5.08 + t^5.27 + t^5.28 + 3*t^5.45 + t^5.63 + t^5.64 + t^5.81 + t^5.82 - t^6. - t^3.91/y - t^4.82/y - t^3.91*y - t^4.82*y | detail | |
| 58474 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.3303 | 1.4904 | 0.8926 | [X:[1.438], M:[0.8099], q:[0.6556, 0.4077], qb:[0.4683, 0.7824], phi:[0.281]] | t^2.43 + t^2.53 + t^2.63 + t^3.37 + t^3.47 + t^4.21 + 3*t^4.31 + t^4.41 + t^4.86 + t^4.96 + 2*t^5.06 + 2*t^5.16 + 2*t^5.26 + t^5.8 + t^5.9 + t^6. - t^3.84/y - t^4.69/y - t^3.84*y - t^4.69*y | detail | |
| 58473 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ | 1.1263 | 1.3138 | 0.8573 | [X:[1.3243, 1.3514], M:[0.7028], q:[0.3379, 0.9864], qb:[0.3379, 0.3107], phi:[0.3379]] | t^2.03 + t^2.11 + t^2.96 + 2*t^3.04 + t^3.89 + 4*t^3.97 + 2*t^4.05 + t^4.14 + t^4.22 + 2*t^4.91 + 2*t^4.99 + 2*t^5.07 + 2*t^5.15 + t^5.84 + 2*t^5.92 + 4*t^6. - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47886 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4552 | 1.6417 | 0.8864 | [X:[1.3445], M:[0.9482], q:[0.49, 0.5268], qb:[0.4916, 0.525], phi:[0.3278]] | t^2.845 + t^2.945 + t^2.95 + t^3.045 + t^3.055 + t^3.928 + t^4.028 + t^4.033 + t^4.038 + t^4.139 + t^4.911 + t^5.012 + t^5.022 + t^5.122 + t^5.504 + t^5.508 + t^5.608 + t^5.614 + t^5.689 + t^5.789 + t^5.794 + t^5.89 + t^5.895 + t^5.9 + t^5.99 + t^5.995 - 3*t^6. - t^3.983/y - t^4.967/y - t^3.983*y - t^4.967*y | detail |