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 |
|---|---|---|---|---|---|---|---|---|---|
| 50922 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}^{2}$ | 0.7053 | 0.8853 | 0.7968 | [M:[1.0, 0.9916, 1.113, 0.7825, 0.774, 0.6779], q:[0.5607, 0.4393], qb:[0.4477, 0.7782], phi:[0.4435]] | [M:[[0], [-18], [4], [10], [-8], [24]], q:[[11], [-11]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}^{2}$ | ${}$ | -1 | t^2.034 + t^2.322 + t^2.347 + t^2.661 + t^2.975 + t^3. + t^3.339 + t^3.992 + 2*t^4.017 + t^4.067 + t^4.331 + 2*t^4.356 + t^4.381 + t^4.644 + t^4.669 + 3*t^4.695 + t^4.983 + 2*t^5.008 + t^5.034 + t^5.297 + 3*t^5.322 + t^5.347 + t^5.373 + t^5.661 + t^5.686 + t^5.95 - t^6. + 2*t^6.05 + t^6.101 + t^6.314 + 2*t^6.339 + 2*t^6.364 + 2*t^6.389 + t^6.415 + t^6.653 + 4*t^6.678 + 2*t^6.703 + 3*t^6.728 + t^6.966 + 2*t^6.992 + 4*t^7.017 + 4*t^7.042 + t^7.067 + 2*t^7.331 + 5*t^7.356 + t^7.381 + t^7.406 + t^7.619 + 2*t^7.644 + 2*t^7.669 + 2*t^7.695 + t^7.72 + 2*t^7.983 + t^8.008 + 2*t^8.034 + 2*t^8.084 + t^8.135 + t^8.272 + t^8.297 - 2*t^8.322 - t^8.347 + 2*t^8.373 + 2*t^8.398 + 2*t^8.423 + t^8.448 + t^8.686 + 7*t^8.712 + 2*t^8.737 + 3*t^8.762 + t^8.924 - 2*t^8.975 - t^4.331/y - t^6.364/y - t^6.653/y - t^6.678/y - t^7.305/y + (2*t^7.356)/y + t^7.381/y + t^7.669/y + t^7.695/y + (2*t^7.983)/y + (3*t^8.008)/y + t^8.034/y + (2*t^8.297)/y + (2*t^8.322)/y + t^8.347/y + t^8.373/y - t^8.398/y + t^8.636/y + (2*t^8.661)/y - t^8.712/y - t^4.331*y - t^6.364*y - t^6.653*y - t^6.678*y - t^7.305*y + 2*t^7.356*y + t^7.381*y + t^7.669*y + t^7.695*y + 2*t^7.983*y + 3*t^8.008*y + t^8.034*y + 2*t^8.297*y + 2*t^8.322*y + t^8.347*y + t^8.373*y - t^8.398*y + t^8.636*y + 2*t^8.661*y - t^8.712*y | g1^24*t^2.034 + t^2.322/g1^8 + g1^10*t^2.347 + t^2.661/g1^4 + t^2.975/g1^18 + t^3. + g1^4*t^3.339 + t^3.992/g1^6 + 2*g1^12*t^4.017 + g1^48*t^4.067 + t^4.331/g1^2 + 2*g1^16*t^4.356 + g1^34*t^4.381 + t^4.644/g1^16 + g1^2*t^4.669 + 3*g1^20*t^4.695 + t^4.983/g1^12 + 2*g1^6*t^5.008 + g1^24*t^5.034 + t^5.297/g1^26 + (3*t^5.322)/g1^8 + g1^10*t^5.347 + g1^28*t^5.373 + t^5.661/g1^4 + g1^14*t^5.686 + t^5.95/g1^36 - t^6. + 2*g1^36*t^6.05 + g1^72*t^6.101 + t^6.314/g1^14 + 2*g1^4*t^6.339 + 2*g1^22*t^6.364 + 2*g1^40*t^6.389 + g1^58*t^6.415 + t^6.653/g1^10 + 4*g1^8*t^6.678 + 2*g1^26*t^6.703 + 3*g1^44*t^6.728 + t^6.966/g1^24 + (2*t^6.992)/g1^6 + 4*g1^12*t^7.017 + 4*g1^30*t^7.042 + g1^48*t^7.067 + (2*t^7.331)/g1^2 + 5*g1^16*t^7.356 + g1^34*t^7.381 + g1^52*t^7.406 + t^7.619/g1^34 + (2*t^7.644)/g1^16 + 2*g1^2*t^7.669 + 2*g1^20*t^7.695 + g1^38*t^7.72 + (2*t^7.983)/g1^12 + g1^6*t^8.008 + 2*g1^24*t^8.034 + 2*g1^60*t^8.084 + g1^96*t^8.135 + t^8.272/g1^44 + t^8.297/g1^26 - (2*t^8.322)/g1^8 - g1^10*t^8.347 + 2*g1^28*t^8.373 + 2*g1^46*t^8.398 + 2*g1^64*t^8.423 + g1^82*t^8.448 + g1^14*t^8.686 + 7*g1^32*t^8.712 + 2*g1^50*t^8.737 + 3*g1^68*t^8.762 + t^8.924/g1^54 - (2*t^8.975)/g1^18 - t^4.331/(g1^2*y) - (g1^22*t^6.364)/y - t^6.653/(g1^10*y) - (g1^8*t^6.678)/y - t^7.305/(g1^20*y) + (2*g1^16*t^7.356)/y + (g1^34*t^7.381)/y + (g1^2*t^7.669)/y + (g1^20*t^7.695)/y + (2*t^7.983)/(g1^12*y) + (3*g1^6*t^8.008)/y + (g1^24*t^8.034)/y + (2*t^8.297)/(g1^26*y) + (2*t^8.322)/(g1^8*y) + (g1^10*t^8.347)/y + (g1^28*t^8.373)/y - (g1^46*t^8.398)/y + t^8.636/(g1^22*y) + (2*t^8.661)/(g1^4*y) - (g1^32*t^8.712)/y - (t^4.331*y)/g1^2 - g1^22*t^6.364*y - (t^6.653*y)/g1^10 - g1^8*t^6.678*y - (t^7.305*y)/g1^20 + 2*g1^16*t^7.356*y + g1^34*t^7.381*y + g1^2*t^7.669*y + g1^20*t^7.695*y + (2*t^7.983*y)/g1^12 + 3*g1^6*t^8.008*y + g1^24*t^8.034*y + (2*t^8.297*y)/g1^26 + (2*t^8.322*y)/g1^8 + g1^10*t^8.347*y + g1^28*t^8.373*y - g1^46*t^8.398*y + (t^8.636*y)/g1^22 + (2*t^8.661*y)/g1^4 - g1^32*t^8.712*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 |
|---|---|---|---|---|---|---|---|---|
| 56182 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.7156 | 0.9021 | 0.7932 | [M:[1.0, 0.9849, 1.1145, 0.7862, 0.771, 0.6869, 0.8855], q:[0.5648, 0.4352], qb:[0.4503, 0.7786], phi:[0.4428]] | t^2.061 + t^2.313 + t^2.359 + 2*t^2.657 + t^2.955 + t^3. + t^3.985 + 2*t^4.03 + t^4.121 + t^4.328 + 2*t^4.374 + t^4.419 + t^4.626 + t^4.672 + 4*t^4.717 + 2*t^4.97 + 3*t^5.015 + t^5.061 + t^5.268 + 5*t^5.313 + t^5.359 + t^5.611 + t^5.657 + t^5.909 - 2*t^6. - t^4.328/y - t^4.328*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47146 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7056 | 0.886 | 0.7965 | [M:[0.9809, 0.9847, 1.1188, 0.7778, 0.7816, 0.6744], q:[0.5766, 0.4425], qb:[0.4387, 0.7797], phi:[0.4406]] | t^2.023 + t^2.333 + t^2.345 + t^2.644 + t^2.943 + t^2.954 + t^3.356 + t^3.954 + t^3.966 + t^4.046 + t^4.069 + t^4.357 + 2*t^4.368 + t^4.379 + 2*t^4.667 + t^4.678 + t^4.689 + t^4.781 + t^4.966 + 2*t^4.977 + t^4.988 + t^5.276 + 3*t^5.287 + t^5.299 + t^5.379 + t^5.69 + t^5.701 + t^5.885 + t^5.897 + t^5.908 + t^5.977 - 2*t^6. - t^4.322/y - t^4.322*y | detail |