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 |
|---|---|---|---|---|---|---|---|---|---|
| 4238 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6988 | 0.8839 | 0.7906 | [X:[1.3585], M:[1.019, 1.1697, 0.981, 0.6415, 0.8303, 0.7169, 0.8303, 0.7549], q:[0.7736, 0.3961], qb:[0.5849, 0.4341], phi:[0.4528]] | [X:[[6]], M:[[-22], [14], [22], [-6], [-14], [12], [-14], [-32]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.151 + t^2.265 + 2*t^2.491 + t^2.717 + t^2.943 + t^3.057 + t^3.623 + t^3.963 + t^4.075 + 2*t^4.301 + 2*t^4.415 + t^4.529 + 2*t^4.642 + 2*t^4.756 + 2*t^4.868 + 4*t^4.982 + t^5.094 + 4*t^5.208 + t^5.322 + 2*t^5.434 + t^5.548 + t^5.66 + 2*t^5.774 + t^5.888 - 2*t^6. + 3*t^6.114 + t^6.228 + t^6.34 + t^6.452 + 2*t^6.454 + 3*t^6.566 + 4*t^6.68 + 2*t^6.792 + t^6.794 + 3*t^6.906 + 2*t^7.018 + 3*t^7.02 + 5*t^7.132 + t^7.244 + 4*t^7.246 + 4*t^7.358 + 7*t^7.472 + 2*t^7.585 + 2*t^7.586 + 5*t^7.699 + t^7.813 + 5*t^7.925 + t^7.927 + 4*t^8.039 - 2*t^8.151 + t^8.153 + t^8.265 + 4*t^8.379 - 3*t^8.491 + t^8.493 + t^8.603 + 5*t^8.605 - 3*t^8.717 + 2*t^8.719 + 6*t^8.831 - 2*t^8.943 + 7*t^8.945 - t^4.358/y - t^6.509/y - t^6.623/y - t^6.849/y - t^7.075/y + t^7.415/y + (3*t^7.642)/y + (2*t^7.756)/y + (2*t^7.868)/y + (2*t^7.982)/y + (2*t^8.094)/y + (5*t^8.208)/y + t^8.322/y + (2*t^8.434)/y + (2*t^8.548)/y + t^8.774/y - t^4.358*y - t^6.509*y - t^6.623*y - t^6.849*y - t^7.075*y + t^7.415*y + 3*t^7.642*y + 2*t^7.756*y + 2*t^7.868*y + 2*t^7.982*y + 2*t^8.094*y + 5*t^8.208*y + t^8.322*y + 2*t^8.434*y + 2*t^8.548*y + t^8.774*y | g1^12*t^2.151 + t^2.265/g1^32 + (2*t^2.491)/g1^14 + g1^4*t^2.717 + g1^22*t^2.943 + t^3.057/g1^22 + t^3.623/g1^30 + t^3.963/g1^56 + g1^6*t^4.075 + 2*g1^24*t^4.301 + (2*t^4.415)/g1^20 + t^4.529/g1^64 + (2*t^4.642)/g1^2 + (2*t^4.756)/g1^46 + 2*g1^16*t^4.868 + (4*t^4.982)/g1^28 + g1^34*t^5.094 + (4*t^5.208)/g1^10 + t^5.322/g1^54 + 2*g1^8*t^5.434 + t^5.548/g1^36 + g1^26*t^5.66 + (2*t^5.774)/g1^18 + t^5.888/g1^62 - 2*t^6. + (3*t^6.114)/g1^44 + t^6.228/g1^88 + t^6.34/g1^26 + g1^36*t^6.452 + (2*t^6.454)/g1^70 + (3*t^6.566)/g1^8 + (4*t^6.68)/g1^52 + 2*g1^10*t^6.792 + t^6.794/g1^96 + (3*t^6.906)/g1^34 + 2*g1^28*t^7.018 + (3*t^7.02)/g1^78 + (5*t^7.132)/g1^16 + g1^46*t^7.244 + (4*t^7.246)/g1^60 + 4*g1^2*t^7.358 + (7*t^7.472)/g1^42 + 2*g1^20*t^7.585 + (2*t^7.586)/g1^86 + (5*t^7.699)/g1^24 + t^7.813/g1^68 + (5*t^7.925)/g1^6 + t^7.927/g1^112 + (4*t^8.039)/g1^50 - 2*g1^12*t^8.151 + t^8.153/g1^94 + t^8.265/g1^32 + (4*t^8.379)/g1^76 - (3*t^8.491)/g1^14 + t^8.493/g1^120 + g1^48*t^8.603 + (5*t^8.605)/g1^58 - 3*g1^4*t^8.717 + (2*t^8.719)/g1^102 + (6*t^8.831)/g1^40 - 2*g1^22*t^8.943 + (7*t^8.945)/g1^84 - (g1^2*t^4.358)/y - (g1^14*t^6.509)/y - t^6.623/(g1^30*y) - t^6.849/(g1^12*y) - (g1^6*t^7.075)/y + t^7.415/(g1^20*y) + (3*t^7.642)/(g1^2*y) + (2*t^7.756)/(g1^46*y) + (2*g1^16*t^7.868)/y + (2*t^7.982)/(g1^28*y) + (2*g1^34*t^8.094)/y + (5*t^8.208)/(g1^10*y) + t^8.322/(g1^54*y) + (2*g1^8*t^8.434)/y + (2*t^8.548)/(g1^36*y) + t^8.774/(g1^18*y) - g1^2*t^4.358*y - g1^14*t^6.509*y - (t^6.623*y)/g1^30 - (t^6.849*y)/g1^12 - g1^6*t^7.075*y + (t^7.415*y)/g1^20 + (3*t^7.642*y)/g1^2 + (2*t^7.756*y)/g1^46 + 2*g1^16*t^7.868*y + (2*t^7.982*y)/g1^28 + 2*g1^34*t^8.094*y + (5*t^8.208*y)/g1^10 + (t^8.322*y)/g1^54 + 2*g1^8*t^8.434*y + (2*t^8.548*y)/g1^36 + (t^8.774*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5727 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7196 | 0.9248 | 0.7781 | [X:[1.3579], M:[1.0209, 1.1685, 0.9791, 0.6421, 0.8315, 0.7159, 0.8315, 0.7577, 0.6741], q:[0.7737, 0.3948], qb:[0.5843, 0.4366], phi:[0.4526]] | t^2.022 + t^2.148 + t^2.273 + 2*t^2.494 + t^2.716 + t^2.937 + t^3.063 + t^3.631 + t^4.045 + t^4.074 + t^4.17 + 3*t^4.295 + 2*t^4.421 + 2*t^4.517 + t^4.546 + 2*t^4.642 + t^4.738 + 2*t^4.767 + 2*t^4.864 + t^4.96 + 4*t^4.989 + 2*t^5.085 + 4*t^5.21 + t^5.336 + 2*t^5.432 + t^5.557 + 2*t^5.653 + 2*t^5.779 + t^5.904 - 2*t^6. - t^4.358/y - t^4.358*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2242 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.6803 | 0.8497 | 0.8007 | [X:[1.3548], M:[1.0325, 1.1611, 0.9675, 0.6452, 0.8389, 0.7096, 0.8389], q:[0.7742, 0.3869], qb:[0.5806, 0.4519], phi:[0.4516]] | t^2.129 + 2*t^2.517 + t^2.71 + t^2.903 + t^3.097 + t^3.676 + t^3.678 + t^4.064 + t^4.066 + 2*t^4.257 + t^4.452 + 2*t^4.645 + 2*t^4.838 + t^5.031 + 3*t^5.033 + 3*t^5.226 + 2*t^5.419 + t^5.612 + t^5.614 + t^5.805 + 2*t^5.807 - 2*t^6. - t^4.355/y - t^4.355*y | detail |