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 |
|---|---|---|---|---|---|---|---|---|---|
| 1798 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.668 | 0.8316 | 0.8032 | [M:[1.0, 0.8427, 1.1573, 0.6854], q:[0.4551, 0.5449], qb:[0.3876, 0.7697], phi:[0.4607]] | [M:[[0], [-8], [8], [-16]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -1 | t^2.056 + t^2.528 + t^2.764 + t^2.798 + t^3. + t^3.472 + t^3.674 + t^3.708 + t^3.91 + 2*t^4.113 + t^4.18 + t^4.382 + t^4.584 + t^4.651 + t^4.82 + t^4.854 + 2*t^5.056 + t^5.292 + t^5.326 + 2*t^5.528 + t^5.562 + t^5.595 + 2*t^5.764 + t^5.966 - t^6. + 2*t^6.169 + 2*t^6.236 + 2*t^6.438 + t^6.472 + t^6.505 + 2*t^6.641 + t^6.674 + 2*t^6.708 + 2*t^6.877 + 2*t^6.91 + t^6.977 + 2*t^7.113 + 2*t^7.18 + t^7.349 + t^7.382 + t^7.416 + t^7.449 + 3*t^7.584 + t^7.618 + t^7.651 + t^7.787 + 4*t^7.82 + 2*t^8.023 + t^8.09 + t^8.123 + 3*t^8.225 - t^8.259 + 3*t^8.292 + 2*t^8.359 + t^8.393 + 2*t^8.495 - t^8.528 + t^8.562 + 2*t^8.697 + t^8.731 + 2*t^8.764 - 3*t^8.798 + t^8.831 + 2*t^8.933 + 2*t^8.966 - t^4.382/y - t^6.438/y - t^7.146/y + t^7.584/y + t^7.618/y + t^7.82/y + t^7.854/y + t^8.056/y + t^8.292/y + (2*t^8.326)/y - t^8.495/y + (2*t^8.528)/y + t^8.562/y + t^8.731/y + (2*t^8.764)/y + t^8.798/y + t^8.966/y - t^4.382*y - t^6.438*y - t^7.146*y + t^7.584*y + t^7.618*y + t^7.82*y + t^7.854*y + t^8.056*y + t^8.292*y + 2*t^8.326*y - t^8.495*y + 2*t^8.528*y + t^8.562*y + t^8.731*y + 2*t^8.764*y + t^8.798*y + t^8.966*y | t^2.056/g1^16 + t^2.528/g1^8 + t^2.764/g1^4 + g1^22*t^2.798 + t^3. + g1^8*t^3.472 + t^3.674/g1^14 + g1^12*t^3.708 + t^3.91/g1^10 + (2*t^4.113)/g1^32 + g1^20*t^4.18 + t^4.382/g1^2 + t^4.584/g1^24 + g1^28*t^4.651 + t^4.82/g1^20 + g1^6*t^4.854 + (2*t^5.056)/g1^16 + t^5.292/g1^12 + g1^14*t^5.326 + (2*t^5.528)/g1^8 + g1^18*t^5.562 + g1^44*t^5.595 + (2*t^5.764)/g1^4 + t^5.966/g1^26 - t^6. + (2*t^6.169)/g1^48 + 2*g1^4*t^6.236 + (2*t^6.438)/g1^18 + g1^8*t^6.472 + g1^34*t^6.505 + (2*t^6.641)/g1^40 + t^6.674/g1^14 + 2*g1^12*t^6.708 + (2*t^6.877)/g1^36 + (2*t^6.91)/g1^10 + g1^42*t^6.977 + (2*t^7.113)/g1^32 + 2*g1^20*t^7.18 + t^7.349/g1^28 + t^7.382/g1^2 + g1^24*t^7.416 + g1^50*t^7.449 + (3*t^7.584)/g1^24 + g1^2*t^7.618 + g1^28*t^7.651 + t^7.787/g1^46 + (4*t^7.82)/g1^20 + (2*t^8.023)/g1^42 + g1^10*t^8.09 + g1^36*t^8.123 + (3*t^8.225)/g1^64 - t^8.259/g1^38 + (3*t^8.292)/g1^12 + 2*g1^40*t^8.359 + g1^66*t^8.393 + (2*t^8.495)/g1^34 - t^8.528/g1^8 + g1^18*t^8.562 + (2*t^8.697)/g1^56 + t^8.731/g1^30 + (2*t^8.764)/g1^4 - 3*g1^22*t^8.798 + g1^48*t^8.831 + (2*t^8.933)/g1^52 + (2*t^8.966)/g1^26 - t^4.382/(g1^2*y) - t^6.438/(g1^18*y) - t^7.146/(g1^6*y) + t^7.584/(g1^24*y) + (g1^2*t^7.618)/y + t^7.82/(g1^20*y) + (g1^6*t^7.854)/y + t^8.056/(g1^16*y) + t^8.292/(g1^12*y) + (2*g1^14*t^8.326)/y - t^8.495/(g1^34*y) + (2*t^8.528)/(g1^8*y) + (g1^18*t^8.562)/y + t^8.731/(g1^30*y) + (2*t^8.764)/(g1^4*y) + (g1^22*t^8.798)/y + t^8.966/(g1^26*y) - (t^4.382*y)/g1^2 - (t^6.438*y)/g1^18 - (t^7.146*y)/g1^6 + (t^7.584*y)/g1^24 + g1^2*t^7.618*y + (t^7.82*y)/g1^20 + g1^6*t^7.854*y + (t^8.056*y)/g1^16 + (t^8.292*y)/g1^12 + 2*g1^14*t^8.326*y - (t^8.495*y)/g1^34 + (2*t^8.528*y)/g1^8 + g1^18*t^8.562*y + (t^8.731*y)/g1^30 + (2*t^8.764*y)/g1^4 + g1^22*t^8.798*y + (t^8.966*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2812 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6886 | 0.8712 | 0.7904 | [M:[1.0, 0.8439, 1.1561, 0.6879, 0.6951], q:[0.4574, 0.5426], qb:[0.3866, 0.7695], phi:[0.461]] | t^2.064 + t^2.085 + t^2.532 + t^2.766 + t^2.788 + t^3. + t^3.468 + t^3.681 + t^3.702 + 2*t^4.127 + t^4.149 + 2*t^4.171 + t^4.383 + t^4.595 + t^4.617 + t^4.639 + t^4.829 + 2*t^4.851 + t^4.873 + 2*t^5.064 + t^5.085 + t^5.298 + t^5.319 + 2*t^5.532 + 2*t^5.553 + t^5.575 + 3*t^5.766 + t^5.788 - t^6. - t^4.383/y - t^4.383*y | detail | |
| 2811 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6866 | 0.8655 | 0.7932 | [M:[1.0, 0.8385, 1.1615, 0.677, 0.7578], q:[0.4472, 0.5528], qb:[0.3913, 0.7702], phi:[0.4596]] | t^2.031 + t^2.273 + t^2.516 + t^2.758 + t^2.832 + t^3. + t^3.484 + t^3.652 + t^3.894 + 2*t^4.062 + t^4.211 + t^4.304 + t^4.379 + 2*t^4.547 + t^4.696 + 2*t^4.789 + t^4.863 + 3*t^5.031 + t^5.106 + 2*t^5.273 + t^5.348 + 2*t^5.516 + t^5.59 + t^5.665 + 2*t^5.758 + 2*t^5.925 - t^6. - t^4.379/y - t^4.379*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 |
|---|---|---|---|---|---|---|---|---|---|
| 363 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.7027 | 0.862 | 0.8151 | [M:[1.0, 0.9335, 1.0665, 0.867], q:[0.4519, 0.5481], qb:[0.4817, 0.5848], phi:[0.4834]] | t^2.601 + t^2.801 + t^2.9 + t^3. + t^3.089 + t^3.11 + t^3.199 + t^4.161 + t^4.251 + t^4.34 + t^4.45 + t^4.54 + t^4.56 + t^4.65 + t^4.739 + t^4.849 + t^4.959 + t^5.202 + t^5.402 + t^5.501 + t^5.601 + t^5.701 + 2*t^5.801 + t^5.9 + t^5.99 - 2*t^6. - t^4.45/y - t^4.45*y | detail |