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 |
|---|---|---|---|---|---|---|---|---|---|
| 45970 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.5429 | 0.6874 | 0.7898 | [M:[0.7766, 1.1258, 0.9719], q:[0.2674, 0.9561], qb:[0.6068, 0.4213], phi:[0.4371]] | [M:[[9, 1], [-2, 2], [-5, -5]], q:[[-3, -2], [-6, 1]], qb:[[5, 0], [0, 5]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}^{3}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | -2 | t^2.066 + t^2.33 + t^2.623 + 2*t^2.916 + 2*t^3.377 + t^3.839 + 2*t^4.132 + t^4.396 + t^4.659 + 2*t^4.689 + t^4.952 + 2*t^4.982 + 2*t^5.245 + 2*t^5.443 + t^5.538 + t^5.707 + 3*t^5.831 + t^5.905 - 2*t^6. + t^6.169 + 2*t^6.198 + 2*t^6.293 + t^6.462 - t^6.557 + t^6.725 + 4*t^6.755 - t^6.85 + t^6.989 + t^7.018 + 3*t^7.048 + t^7.216 + t^7.282 + 3*t^7.509 + 2*t^7.575 + t^7.604 + t^7.678 - t^7.773 + t^7.868 + 3*t^7.897 + 2*t^7.971 + t^8.037 - 3*t^8.066 + 2*t^8.161 + t^8.235 + 3*t^8.264 - 3*t^8.33 + t^8.359 + t^8.454 + t^8.498 + t^8.528 - 2*t^8.623 + 4*t^8.747 + t^8.791 + 4*t^8.821 - t^8.886 - 7*t^8.916 - t^4.311/y - t^6.641/y - t^7.227/y + (2*t^7.396)/y + t^7.689/y + t^7.952/y + (3*t^7.982)/y + (2*t^8.245)/y + (2*t^8.443)/y + (2*t^8.538)/y + (2*t^8.707)/y + t^8.831/y + t^8.905/y - t^8.971/y - t^4.311*y - t^6.641*y - t^7.227*y + 2*t^7.396*y + t^7.689*y + t^7.952*y + 3*t^7.982*y + 2*t^8.245*y + 2*t^8.443*y + 2*t^8.538*y + 2*t^8.707*y + t^8.831*y + t^8.905*y - t^8.971*y | (g2^3*t^2.066)/g1^3 + g1^9*g2*t^2.33 + (g1^2*t^2.623)/g2^2 + (2*t^2.916)/(g1^5*g2^5) + (2*g2^2*t^3.377)/g1^2 + g1*g2^9*t^3.839 + (2*g2^6*t^4.132)/g1^6 + g1^6*g2^4*t^4.396 + g1^18*g2^2*t^4.659 + (2*g2*t^4.689)/g1 + (g1^11*t^4.952)/g2 + (2*t^4.982)/(g1^8*g2^2) + (2*g1^4*t^5.245)/g2^4 + (2*g2^5*t^5.443)/g1^5 + t^5.538/(g1^3*g2^7) + g1^7*g2^3*t^5.707 + (3*t^5.831)/(g1^10*g2^10) + (g2^12*t^5.905)/g1^2 - 2*t^6. + g1^10*g2^10*t^6.169 + (2*g2^9*t^6.198)/g1^9 + (2*t^6.293)/(g1^7*g2^3) + g1^3*g2^7*t^6.462 - (g1^5*t^6.557)/g2^5 + g1^15*g2^5*t^6.725 + (4*g2^4*t^6.755)/g1^4 - t^6.85/(g1^2*g2^8) + g1^27*g2^3*t^6.989 + g1^8*g2^2*t^7.018 + (3*g2*t^7.048)/g1^11 + (g2^11*t^7.216)/g1 + g1^20*t^7.282 + (3*g2^8*t^7.509)/g1^8 + (2*g1^13*t^7.575)/g2^3 + t^7.604/(g1^6*g2^4) + g1^2*g2^18*t^7.678 - g1^4*g2^6*t^7.773 + (g1^6*t^7.868)/g2^6 + (3*t^7.897)/(g1^13*g2^7) + (2*g2^15*t^7.971)/g1^5 + g1^16*g2^4*t^8.037 - (3*g2^3*t^8.066)/g1^3 + (2*t^8.161)/(g1*g2^9) + g1^7*g2^13*t^8.235 + (3*g2^12*t^8.264)/g1^12 - 3*g1^9*g2*t^8.33 + t^8.359/g1^10 + t^8.454/(g1^8*g2^12) + g1^19*g2^11*t^8.498 + g2^10*t^8.528 - (2*g1^2*t^8.623)/g2^2 + (4*t^8.747)/(g1^15*g2^15) + g1^12*g2^8*t^8.791 + (4*g2^7*t^8.821)/g1^7 - (g1^14*t^8.886)/g2^4 - (7*t^8.916)/(g1^5*g2^5) - (g1*t^4.311)/(g2*y) - (g1^10*t^6.641)/y - t^7.227/(g1^4*g2^6*y) + (2*g1^6*g2^4*t^7.396)/y + (g2*t^7.689)/(g1*y) + (g1^11*t^7.952)/(g2*y) + (3*t^7.982)/(g1^8*g2^2*y) + (2*g1^4*t^8.245)/(g2^4*y) + (2*g2^5*t^8.443)/(g1^5*y) + (2*t^8.538)/(g1^3*g2^7*y) + (2*g1^7*g2^3*t^8.707)/y + t^8.831/(g1^10*g2^10*y) + (g2^12*t^8.905)/(g1^2*y) - (g1^19*g2*t^8.971)/y - (g1*t^4.311*y)/g2 - g1^10*t^6.641*y - (t^7.227*y)/(g1^4*g2^6) + 2*g1^6*g2^4*t^7.396*y + (g2*t^7.689*y)/g1 + (g1^11*t^7.952*y)/g2 + (3*t^7.982*y)/(g1^8*g2^2) + (2*g1^4*t^8.245*y)/g2^4 + (2*g2^5*t^8.443*y)/g1^5 + (2*t^8.538*y)/(g1^3*g2^7) + 2*g1^7*g2^3*t^8.707*y + (t^8.831*y)/(g1^10*g2^10) + (g2^12*t^8.905*y)/g1^2 - g1^19*g2*t^8.971*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 46116 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.5546 | 0.7066 | 0.7849 | [M:[0.7599, 1.1364, 0.9672, 0.8636], q:[0.2677, 0.9724], qb:[0.5959, 0.4369], phi:[0.4318]] | t^2.114 + t^2.28 + 2*t^2.591 + 2*t^2.902 + t^3.409 + t^3.917 + 2*t^4.228 + t^4.394 + t^4.559 + 3*t^4.705 + 2*t^4.87 + 2*t^5.016 + 4*t^5.181 + 3*t^5.492 + t^5.523 + 3*t^5.803 - 2*t^6. - t^4.295/y - t^4.295*y | detail | |
| 46279 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}^{3}$ | 0.5427 | 0.6866 | 0.7905 | [M:[0.7727, 1.1322, 0.9628], q:[0.2645, 0.9628], qb:[0.6033, 0.4339], phi:[0.4339]] | t^2.095 + t^2.318 + t^2.603 + 2*t^2.888 + 2*t^3.397 + t^3.905 + 2*t^4.19 + t^4.413 + t^4.636 + 2*t^4.698 + t^4.922 + 2*t^4.983 + 2*t^5.207 + 3*t^5.492 + t^5.715 + 3*t^5.777 - t^6. - t^4.302/y - t^4.302*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45872 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0.669 | 0.8353 | 0.8009 | [M:[0.7026, 0.6881, 0.6965], q:[0.4795, 0.8179], qb:[0.8324, 0.4712], phi:[0.3498]] | t^2.064 + t^2.089 + t^2.099 + t^2.108 + t^2.852 + t^3.867 + t^3.876 + t^3.901 + t^3.926 + t^4.129 + t^4.154 + t^4.163 + t^4.172 + t^4.179 + t^4.188 + 2*t^4.197 + t^4.206 + t^4.216 + t^4.916 + t^4.941 + 2*t^4.951 + t^4.96 + t^5.704 + t^5.931 + t^5.941 + t^5.956 + 2*t^5.966 + t^5.975 + t^5.984 + t^5.991 - 2*t^6. - t^4.049/y - t^4.049*y | detail |