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 |
|---|---|---|---|---|---|---|---|---|---|
| 151 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6689 | 0.8347 | 0.8014 | [M:[0.6964, 0.7027, 0.6943], q:[0.8254, 0.8254], qb:[0.4782, 0.4741], phi:[0.3492]] | [M:[[-7, -1], [2, -10], [-10, 2]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.083 + t^2.089 + t^2.095 + t^2.108 + t^2.857 + 2*t^3.898 + t^3.905 + t^3.911 + t^4.166 + t^4.172 + 2*t^4.178 + t^4.185 + 2*t^4.191 + t^4.197 + t^4.203 + t^4.216 + t^4.94 + t^4.946 + 2*t^4.952 + t^4.965 + t^5.714 + 2*t^5.981 + 2*t^5.987 + 2*t^5.994 - t^6. + t^6.006 + t^6.019 + t^6.248 + t^6.255 + 2*t^6.261 + 2*t^6.267 + 3*t^6.274 + 2*t^6.28 + 3*t^6.286 + t^6.292 + 2*t^6.299 + t^6.305 + t^6.311 + t^6.324 + 2*t^6.755 + t^6.761 + t^6.768 + t^7.023 + t^7.029 + 2*t^7.035 + t^7.048 - t^7.054 + t^7.06 + t^7.073 + 3*t^7.797 + t^7.803 + 2*t^7.809 - t^7.815 + t^7.822 + 2*t^8.064 + 2*t^8.07 + 3*t^8.077 - t^8.083 - t^8.095 - 2*t^8.108 + t^8.114 + t^8.127 + t^8.331 + t^8.338 + 2*t^8.344 + 2*t^8.35 + 4*t^8.356 + 3*t^8.363 + 4*t^8.369 + 3*t^8.375 + 4*t^8.382 + 2*t^8.388 + 3*t^8.394 + t^8.4 + 2*t^8.407 + t^8.413 + t^8.419 + t^8.432 + t^8.571 + 2*t^8.838 + t^8.844 + 2*t^8.851 - 2*t^8.857 - t^8.869 + t^8.876 - t^4.048/y - t^6.131/y - t^6.137/y - t^6.143/y - t^6.156/y + t^7.172/y + t^7.178/y + t^7.185/y + t^7.191/y + t^7.197/y + t^7.203/y + (2*t^7.94)/y + t^7.946/y + (2*t^7.952)/y + t^7.959/y + (2*t^7.965)/y - t^8.213/y - t^8.22/y - (2*t^8.226)/y - t^8.232/y - (2*t^8.239)/y - t^8.245/y - t^8.251/y - t^8.264/y + (2*t^8.981)/y + (3*t^8.987)/y + (4*t^8.994)/y - t^4.048*y - t^6.131*y - t^6.137*y - t^6.143*y - t^6.156*y + t^7.172*y + t^7.178*y + t^7.185*y + t^7.191*y + t^7.197*y + t^7.203*y + 2*t^7.94*y + t^7.946*y + 2*t^7.952*y + t^7.959*y + 2*t^7.965*y - t^8.213*y - t^8.22*y - 2*t^8.226*y - t^8.232*y - 2*t^8.239*y - t^8.245*y - t^8.251*y - t^8.264*y + 2*t^8.981*y + 3*t^8.987*y + 4*t^8.994*y | (g2^2*t^2.083)/g1^10 + t^2.089/(g1^7*g2) + t^2.095/(g1^4*g2^4) + (g1^2*t^2.108)/g2^10 + g1^6*g2^6*t^2.857 + 2*g1*g2^7*t^3.898 + g1^4*g2^4*t^3.905 + g1^7*g2*t^3.911 + (g2^4*t^4.166)/g1^20 + (g2*t^4.172)/g1^17 + (2*t^4.178)/(g1^14*g2^2) + t^4.185/(g1^11*g2^5) + (2*t^4.191)/(g1^8*g2^8) + t^4.197/(g1^5*g2^11) + t^4.203/(g1^2*g2^14) + (g1^4*t^4.216)/g2^20 + (g2^8*t^4.94)/g1^4 + (g2^5*t^4.946)/g1 + 2*g1^2*g2^2*t^4.952 + (g1^8*t^4.965)/g2^4 + g1^12*g2^12*t^5.714 + (2*g2^9*t^5.981)/g1^9 + (2*g2^6*t^5.987)/g1^6 + (2*g2^3*t^5.994)/g1^3 - t^6. + (g1^3*t^6.006)/g2^3 + (g1^9*t^6.019)/g2^9 + (g2^6*t^6.248)/g1^30 + (g2^3*t^6.255)/g1^27 + (2*t^6.261)/g1^24 + (2*t^6.267)/(g1^21*g2^3) + (3*t^6.274)/(g1^18*g2^6) + (2*t^6.28)/(g1^15*g2^9) + (3*t^6.286)/(g1^12*g2^12) + t^6.292/(g1^9*g2^15) + (2*t^6.299)/(g1^6*g2^18) + t^6.305/(g1^3*g2^21) + t^6.311/g2^24 + (g1^6*t^6.324)/g2^30 + 2*g1^7*g2^13*t^6.755 + g1^10*g2^10*t^6.761 + g1^13*g2^7*t^6.768 + (g2^10*t^7.023)/g1^14 + (g2^7*t^7.029)/g1^11 + (2*g2^4*t^7.035)/g1^8 + t^7.048/(g1^2*g2^2) - (g1*t^7.054)/g2^5 + (g1^4*t^7.06)/g2^8 + (g1^10*t^7.073)/g2^14 + 3*g1^2*g2^14*t^7.797 + g1^5*g2^11*t^7.803 + 2*g1^8*g2^8*t^7.809 - g1^11*g2^5*t^7.815 + g1^14*g2^2*t^7.822 + (2*g2^11*t^8.064)/g1^19 + (2*g2^8*t^8.07)/g1^16 + (3*g2^5*t^8.077)/g1^13 - (g2^2*t^8.083)/g1^10 - t^8.095/(g1^4*g2^4) - (2*g1^2*t^8.108)/g2^10 + (g1^5*t^8.114)/g2^13 + (g1^11*t^8.127)/g2^19 + (g2^8*t^8.331)/g1^40 + (g2^5*t^8.338)/g1^37 + (2*g2^2*t^8.344)/g1^34 + (2*t^8.35)/(g1^31*g2) + (4*t^8.356)/(g1^28*g2^4) + (3*t^8.363)/(g1^25*g2^7) + (4*t^8.369)/(g1^22*g2^10) + (3*t^8.375)/(g1^19*g2^13) + (4*t^8.382)/(g1^16*g2^16) + (2*t^8.388)/(g1^13*g2^19) + (3*t^8.394)/(g1^10*g2^22) + t^8.4/(g1^7*g2^25) + (2*t^8.407)/(g1^4*g2^28) + t^8.413/(g1*g2^31) + (g1^2*t^8.419)/g2^34 + (g1^8*t^8.432)/g2^40 + g1^18*g2^18*t^8.571 + (2*g2^15*t^8.838)/g1^3 + g2^12*t^8.844 + 2*g1^3*g2^9*t^8.851 - 2*g1^6*g2^6*t^8.857 - g1^12*t^8.869 + (g1^15*t^8.876)/g2^3 - t^4.048/(g1^2*g2^2*y) - t^6.131/(g1^12*y) - t^6.137/(g1^9*g2^3*y) - t^6.143/(g1^6*g2^6*y) - t^6.156/(g2^12*y) + (g2*t^7.172)/(g1^17*y) + t^7.178/(g1^14*g2^2*y) + t^7.185/(g1^11*g2^5*y) + t^7.191/(g1^8*g2^8*y) + t^7.197/(g1^5*g2^11*y) + t^7.203/(g1^2*g2^14*y) + (2*g2^8*t^7.94)/(g1^4*y) + (g2^5*t^7.946)/(g1*y) + (2*g1^2*g2^2*t^7.952)/y + (g1^5*t^7.959)/(g2*y) + (2*g1^8*t^7.965)/(g2^4*y) - (g2^2*t^8.213)/(g1^22*y) - t^8.22/(g1^19*g2*y) - (2*t^8.226)/(g1^16*g2^4*y) - t^8.232/(g1^13*g2^7*y) - (2*t^8.239)/(g1^10*g2^10*y) - t^8.245/(g1^7*g2^13*y) - t^8.251/(g1^4*g2^16*y) - (g1^2*t^8.264)/(g2^22*y) + (2*g2^9*t^8.981)/(g1^9*y) + (3*g2^6*t^8.987)/(g1^6*y) + (4*g2^3*t^8.994)/(g1^3*y) - (t^4.048*y)/(g1^2*g2^2) - (t^6.131*y)/g1^12 - (t^6.137*y)/(g1^9*g2^3) - (t^6.143*y)/(g1^6*g2^6) - (t^6.156*y)/g2^12 + (g2*t^7.172*y)/g1^17 + (t^7.178*y)/(g1^14*g2^2) + (t^7.185*y)/(g1^11*g2^5) + (t^7.191*y)/(g1^8*g2^8) + (t^7.197*y)/(g1^5*g2^11) + (t^7.203*y)/(g1^2*g2^14) + (2*g2^8*t^7.94*y)/g1^4 + (g2^5*t^7.946*y)/g1 + 2*g1^2*g2^2*t^7.952*y + (g1^5*t^7.959*y)/g2 + (2*g1^8*t^7.965*y)/g2^4 - (g2^2*t^8.213*y)/g1^22 - (t^8.22*y)/(g1^19*g2) - (2*t^8.226*y)/(g1^16*g2^4) - (t^8.232*y)/(g1^13*g2^7) - (2*t^8.239*y)/(g1^10*g2^10) - (t^8.245*y)/(g1^7*g2^13) - (t^8.251*y)/(g1^4*g2^16) - (g1^2*t^8.264*y)/g2^22 + (2*g2^9*t^8.981*y)/g1^9 + (3*g2^6*t^8.987*y)/g1^6 + (4*g2^3*t^8.994*y)/g1^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 241 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ | 0.5614 | 0.6887 | 0.8152 | [X:[1.4324], M:[0.9382, 0.5676, 1.0618], q:[0.7963, 0.7963], qb:[0.2654, 0.5125], phi:[0.4073]] | t^2.334 + t^2.444 + t^2.815 + 2*t^3.185 + t^3.556 + 2*t^3.927 + t^4.297 + t^4.668 + 2*t^4.778 + t^4.888 + t^5.149 + 2*t^5.519 + t^5.629 + t^5.89 - t^4.222/y - t^4.222*y | detail | |
| 245 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.6486 | 0.7977 | 0.8132 | [M:[0.6962, 0.7272, 0.6859, 1.2728], q:[0.8234, 0.8234], qb:[0.4804, 0.4598], phi:[0.3533]] | t^2.058 + t^2.089 + t^2.12 + t^2.821 + t^3.819 + 2*t^3.849 + t^3.88 + t^3.911 + t^4.115 + t^4.146 + 2*t^4.177 + t^4.208 + t^4.239 + t^4.878 + t^4.909 + 2*t^4.94 + t^5.641 + t^5.876 + 3*t^5.907 + 3*t^5.938 + 2*t^5.969 - t^6. - t^4.06/y - t^4.06*y | detail | |
| 240 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}X_{1}$ | 0.5879 | 0.7149 | 0.8223 | [X:[1.4675], M:[0.8831, 0.5325, 1.0], q:[0.8084, 0.8084], qb:[0.3084, 0.5422], phi:[0.3831]] | t^2.299 + t^2.552 + t^2.649 + t^3. + t^3.351 + t^3.701 + 2*t^4.052 + t^4.402 + t^4.598 + 2*t^4.851 + t^4.948 + t^5.104 + t^5.201 + t^5.299 + t^5.552 + t^5.902 - t^4.149/y - t^4.149*y | detail | |
| 244 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6895 | 0.8744 | 0.7885 | [M:[0.6931, 0.6987, 0.6912, 0.695], q:[0.8263, 0.8263], qb:[0.4806, 0.4769], phi:[0.3475]] | t^2.074 + t^2.079 + 2*t^2.085 + t^2.096 + t^2.873 + 2*t^3.909 + t^3.921 + t^4.147 + t^4.153 + 3*t^4.159 + 2*t^4.164 + 4*t^4.17 + t^4.176 + 2*t^4.181 + t^4.192 + t^4.946 + t^4.952 + 3*t^4.958 + t^4.969 + t^5.745 + 2*t^5.983 + t^5.989 + 3*t^5.994 - 2*t^6. - t^4.042/y - t^4.042*y | detail | |
| 1721 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.6895 | 0.8748 | 0.7882 | [M:[0.692, 0.7027, 0.6884, 0.692], q:[0.8261, 0.8261], qb:[0.4819, 0.4747], phi:[0.3478]] | t^2.065 + 2*t^2.076 + t^2.087 + t^2.108 + t^2.87 + 2*t^3.903 + t^3.913 + t^4.13 + 2*t^4.141 + 4*t^4.152 + 2*t^4.163 + 2*t^4.173 + 2*t^4.184 + t^4.195 + t^4.216 + t^4.935 + 2*t^4.946 + 2*t^4.957 + t^4.978 + t^5.74 + 2*t^5.968 + 4*t^5.978 + 2*t^5.989 - 2*t^6. - t^4.043/y - t^4.043*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 |
|---|---|---|---|---|---|---|---|---|---|
| 92 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6484 | 0.7955 | 0.815 | [M:[0.7061, 0.6966], q:[0.8243, 0.8243], qb:[0.4696, 0.4759], phi:[0.3515]] | t^2.09 + t^2.109 + t^2.118 + t^2.837 + t^3.872 + t^3.882 + t^3.891 + 2*t^3.901 + t^4.18 + t^4.199 + t^4.208 + t^4.218 + t^4.227 + t^4.237 + t^4.927 + 2*t^4.946 + t^4.955 + t^5.673 + t^5.962 + t^5.971 + t^5.981 + 2*t^5.99 - t^6. - t^4.054/y - t^4.054*y | detail |