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 |
|---|---|---|---|---|---|---|---|---|---|
| 46102 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.599 | 0.7629 | 0.7852 | [X:[1.3787], M:[0.6213, 0.6765, 1.0], q:[0.7702, 0.6085], qb:[0.5533, 0.2298], phi:[0.4596]] | [X:[[6]], M:[[-6], [16], [0]], q:[[-1], [7]], qb:[[-15], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.03 + t^2.349 + t^2.515 + 2*t^2.757 + t^3. + t^3.485 + t^3.728 + t^3.893 + t^4.059 + t^4.136 + t^4.379 + t^4.544 + 2*t^4.698 + 2*t^4.787 + t^4.864 + 2*t^5.03 + 2*t^5.107 + 2*t^5.272 + t^5.349 + 5*t^5.515 + 2*t^5.757 + t^5.923 - 2*t^6. + t^6.077 + t^6.089 + 2*t^6.243 + t^6.408 + 2*t^6.485 + t^6.574 + 2*t^6.651 + t^6.728 + 2*t^6.816 + 2*t^6.893 - t^6.97 + 2*t^7.047 + 2*t^7.059 + t^7.136 + t^7.213 + 2*t^7.302 + 4*t^7.456 + 5*t^7.544 + t^7.621 + t^7.698 + 4*t^7.787 + 3*t^7.864 - t^7.941 + t^7.953 + 2*t^8.03 + t^8.107 + t^8.118 + t^8.184 + 7*t^8.272 - 3*t^8.349 + 2*t^8.426 + t^8.438 + t^8.603 + 2*t^8.68 - 5*t^8.757 + 2*t^8.834 + 2*t^8.846 + t^8.923 - t^4.379/y - t^6.408/y - t^7.136/y + t^7.379/y + t^7.544/y + t^7.621/y + (2*t^7.787)/y + t^7.864/y + t^8.03/y + (2*t^8.107)/y + (2*t^8.272)/y + (2*t^8.349)/y - t^8.438/y + (3*t^8.515)/y + (3*t^8.757)/y + t^8.834/y + t^8.923/y - t^4.379*y - t^6.408*y - t^7.136*y + t^7.379*y + t^7.544*y + t^7.621*y + 2*t^7.787*y + t^7.864*y + t^8.03*y + 2*t^8.107*y + 2*t^8.272*y + 2*t^8.349*y - t^8.438*y + 3*t^8.515*y + 3*t^8.757*y + t^8.834*y + t^8.923*y | g1^16*t^2.03 + t^2.349/g1^14 + g1^8*t^2.515 + 2*g1^4*t^2.757 + t^3. + t^3.485/g1^8 + t^3.728/g1^12 + g1^10*t^3.893 + g1^32*t^4.059 + g1^6*t^4.136 + g1^2*t^4.379 + g1^24*t^4.544 + (2*t^4.698)/g1^28 + 2*g1^20*t^4.787 + t^4.864/g1^6 + 2*g1^16*t^5.03 + (2*t^5.107)/g1^10 + 2*g1^12*t^5.272 + t^5.349/g1^14 + 5*g1^8*t^5.515 + 2*g1^4*t^5.757 + g1^26*t^5.923 - 2*t^6. + t^6.077/g1^26 + g1^48*t^6.089 + (2*t^6.243)/g1^4 + g1^18*t^6.408 + (2*t^6.485)/g1^8 + g1^40*t^6.574 + 2*g1^14*t^6.651 + t^6.728/g1^12 + 2*g1^36*t^6.816 + 2*g1^10*t^6.893 - t^6.97/g1^16 + (2*t^7.047)/g1^42 + 2*g1^32*t^7.059 + g1^6*t^7.136 + t^7.213/g1^20 + 2*g1^28*t^7.302 + (4*t^7.456)/g1^24 + 5*g1^24*t^7.544 + t^7.621/g1^2 + t^7.698/g1^28 + 4*g1^20*t^7.787 + (3*t^7.864)/g1^6 - t^7.941/g1^32 + g1^42*t^7.953 + 2*g1^16*t^8.03 + t^8.107/g1^10 + g1^64*t^8.118 + t^8.184/g1^36 + 7*g1^12*t^8.272 - (3*t^8.349)/g1^14 + (2*t^8.426)/g1^40 + g1^34*t^8.438 + g1^56*t^8.603 + 2*g1^30*t^8.68 - 5*g1^4*t^8.757 + (2*t^8.834)/g1^22 + 2*g1^52*t^8.846 + g1^26*t^8.923 - (g1^2*t^4.379)/y - (g1^18*t^6.408)/y - (g1^6*t^7.136)/y + (g1^2*t^7.379)/y + (g1^24*t^7.544)/y + t^7.621/(g1^2*y) + (2*g1^20*t^7.787)/y + t^7.864/(g1^6*y) + (g1^16*t^8.03)/y + (2*t^8.107)/(g1^10*y) + (2*g1^12*t^8.272)/y + (2*t^8.349)/(g1^14*y) - (g1^34*t^8.438)/y + (3*g1^8*t^8.515)/y + (3*g1^4*t^8.757)/y + t^8.834/(g1^22*y) + (g1^26*t^8.923)/y - g1^2*t^4.379*y - g1^18*t^6.408*y - g1^6*t^7.136*y + g1^2*t^7.379*y + g1^24*t^7.544*y + (t^7.621*y)/g1^2 + 2*g1^20*t^7.787*y + (t^7.864*y)/g1^6 + g1^16*t^8.03*y + (2*t^8.107*y)/g1^10 + 2*g1^12*t^8.272*y + (2*t^8.349*y)/g1^14 - g1^34*t^8.438*y + 3*g1^8*t^8.515*y + 3*g1^4*t^8.757*y + (t^8.834*y)/g1^22 + g1^26*t^8.923*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 |
|---|---|---|---|---|---|---|---|---|
| 46730 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{4}$ | 0.5782 | 0.722 | 0.8009 | [X:[1.3799], M:[0.6201, 0.6798, 1.0, 1.3202], q:[0.77, 0.6099], qb:[0.5501, 0.23], phi:[0.46]] | t^2.34 + t^2.52 + 2*t^2.76 + t^3. + t^3.48 + t^3.72 + t^3.9 + t^3.96 + t^4.14 + 2*t^4.681 + t^4.86 + t^5.04 + 2*t^5.1 + 2*t^5.28 + t^5.34 + 4*t^5.52 + t^5.76 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 46609 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ | 0.5972 | 0.7561 | 0.7898 | [X:[1.3731, 1.3384], M:[0.6269, 0.6616, 1.0, 0.7462], q:[0.7712, 0.6019], qb:[0.5673, 0.2288], phi:[0.4577]] | t^2.239 + t^2.388 + t^2.492 + 2*t^2.746 + t^3. + t^3.508 + t^3.865 + t^4.015 + t^4.119 + t^4.477 + t^4.627 + t^4.731 + 2*t^4.777 + t^4.881 + 3*t^4.985 + 2*t^5.135 + 3*t^5.239 + t^5.388 + 4*t^5.492 + 2*t^5.746 - 2*t^6. - t^4.373/y - t^4.373*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46026 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ | 0.6271 | 0.8146 | 0.7698 | [M:[0.7084, 0.7084, 1.0], q:[0.7583, 0.5333], qb:[0.5333, 0.2417], phi:[0.4834]] | 2*t^2.125 + 2*t^2.325 + 2*t^2.9 + t^3. + t^3.2 + 2*t^3.775 + 3*t^4.25 + 4*t^4.45 + 6*t^4.65 + 4*t^5.025 + 4*t^5.225 + 4*t^5.325 + 2*t^5.525 + 3*t^5.8 + 5*t^5.9 - 5*t^6. - t^4.45/y - t^4.45*y | detail |