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 |
|---|---|---|---|---|---|---|---|---|---|
| 3632 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6266 | 0.8141 | 0.7697 | [M:[0.9438, 1.0, 0.7009, 1.243, 0.7289, 1.0562, 0.757], q:[0.5421, 0.514], qb:[0.757, 0.243], phi:[0.486]] | [M:[[8], [0], [7], [1], [3], [-8], [-1]], q:[[-6], [-2]], qb:[[-1], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{5}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}^{3}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | -1 | t^2.103 + t^2.187 + t^2.271 + t^2.355 + 2*t^2.916 + t^3. + t^3.169 + t^3.729 + t^3.813 + t^4.205 + t^4.289 + 2*t^4.374 + 2*t^4.458 + 3*t^4.542 + 2*t^4.626 + 2*t^4.711 + 2*t^5.018 + 2*t^5.103 + 2*t^5.187 + 4*t^5.271 + 2*t^5.355 + t^5.44 + t^5.524 + 4*t^5.831 + 2*t^5.916 - t^6. + 2*t^6.084 + t^6.169 + t^6.308 + t^6.337 + t^6.392 + 2*t^6.476 + 2*t^6.56 + 4*t^6.645 + 5*t^6.729 + 3*t^6.813 + 3*t^6.897 + 3*t^6.982 + 2*t^7.066 + 2*t^7.121 + 2*t^7.205 + 3*t^7.289 + 4*t^7.374 + 5*t^7.458 + 4*t^7.542 + 5*t^7.626 + 3*t^7.711 + t^7.795 + 2*t^7.879 + 4*t^7.934 + 3*t^8.018 + 3*t^8.187 - 2*t^8.355 + t^8.41 + 2*t^8.44 + t^8.494 + 2*t^8.524 + 2*t^8.579 + t^8.608 + 2*t^8.663 + t^8.692 + 9*t^8.747 + 5*t^8.831 - t^8.916 - t^4.458/y - t^6.56/y - t^6.645/y + t^7.289/y + (2*t^7.458)/y + (2*t^7.542)/y + t^7.626/y + (2*t^8.018)/y + (3*t^8.103)/y + (3*t^8.187)/y + (5*t^8.271)/y + (3*t^8.355)/y + t^8.44/y + t^8.524/y - t^8.663/y - t^8.747/y + t^8.831/y + (4*t^8.916)/y - t^4.458*y - t^6.56*y - t^6.645*y + t^7.289*y + 2*t^7.458*y + 2*t^7.542*y + t^7.626*y + 2*t^8.018*y + 3*t^8.103*y + 3*t^8.187*y + 5*t^8.271*y + 3*t^8.355*y + t^8.44*y + t^8.524*y - t^8.663*y - t^8.747*y + t^8.831*y + 4*t^8.916*y | g1^7*t^2.103 + g1^3*t^2.187 + t^2.271/g1 + t^2.355/g1^5 + 2*g1^4*t^2.916 + t^3. + t^3.169/g1^8 + g1*t^3.729 + t^3.813/g1^3 + g1^14*t^4.205 + g1^10*t^4.289 + 2*g1^6*t^4.374 + 2*g1^2*t^4.458 + (3*t^4.542)/g1^2 + (2*t^4.626)/g1^6 + (2*t^4.711)/g1^10 + 2*g1^11*t^5.018 + 2*g1^7*t^5.103 + 2*g1^3*t^5.187 + (4*t^5.271)/g1 + (2*t^5.355)/g1^5 + t^5.44/g1^9 + t^5.524/g1^13 + 4*g1^8*t^5.831 + 2*g1^4*t^5.916 - t^6. + (2*t^6.084)/g1^4 + t^6.169/g1^8 + g1^21*t^6.308 + t^6.337/g1^16 + g1^17*t^6.392 + 2*g1^13*t^6.476 + 2*g1^9*t^6.56 + 4*g1^5*t^6.645 + 5*g1*t^6.729 + (3*t^6.813)/g1^3 + (3*t^6.897)/g1^7 + (3*t^6.982)/g1^11 + (2*t^7.066)/g1^15 + 2*g1^18*t^7.121 + 2*g1^14*t^7.205 + 3*g1^10*t^7.289 + 4*g1^6*t^7.374 + 5*g1^2*t^7.458 + (4*t^7.542)/g1^2 + (5*t^7.626)/g1^6 + (3*t^7.711)/g1^10 + t^7.795/g1^14 + (2*t^7.879)/g1^18 + 4*g1^15*t^7.934 + 3*g1^11*t^8.018 + 3*g1^3*t^8.187 - (2*t^8.355)/g1^5 + g1^28*t^8.41 + (2*t^8.44)/g1^9 + g1^24*t^8.494 + (2*t^8.524)/g1^13 + 2*g1^20*t^8.579 + t^8.608/g1^17 + 2*g1^16*t^8.663 + t^8.692/g1^21 + 9*g1^12*t^8.747 + 5*g1^8*t^8.831 - g1^4*t^8.916 - (g1^2*t^4.458)/y - (g1^9*t^6.56)/y - (g1^5*t^6.645)/y + (g1^10*t^7.289)/y + (2*g1^2*t^7.458)/y + (2*t^7.542)/(g1^2*y) + t^7.626/(g1^6*y) + (2*g1^11*t^8.018)/y + (3*g1^7*t^8.103)/y + (3*g1^3*t^8.187)/y + (5*t^8.271)/(g1*y) + (3*t^8.355)/(g1^5*y) + t^8.44/(g1^9*y) + t^8.524/(g1^13*y) - (g1^16*t^8.663)/y - (g1^12*t^8.747)/y + (g1^8*t^8.831)/y + (4*g1^4*t^8.916)/y - g1^2*t^4.458*y - g1^9*t^6.56*y - g1^5*t^6.645*y + g1^10*t^7.289*y + 2*g1^2*t^7.458*y + (2*t^7.542*y)/g1^2 + (t^7.626*y)/g1^6 + 2*g1^11*t^8.018*y + 3*g1^7*t^8.103*y + 3*g1^3*t^8.187*y + (5*t^8.271*y)/g1 + (3*t^8.355*y)/g1^5 + (t^8.44*y)/g1^9 + (t^8.524*y)/g1^13 - g1^16*t^8.663*y - g1^12*t^8.747*y + g1^8*t^8.831*y + 4*g1^4*t^8.916*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 |
|---|---|---|---|---|---|---|---|---|
| 5336 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{8}$ | 0.6068 | 0.7776 | 0.7804 | [M:[0.9514, 1.0, 0.7075, 1.2439, 0.7318, 1.0486, 0.7561, 1.2682], q:[0.5365, 0.5122], qb:[0.7561, 0.2439], phi:[0.4878]] | t^2.122 + t^2.268 + t^2.341 + 2*t^2.927 + t^3. + t^3.146 + t^3.732 + 2*t^3.805 + t^4.245 + t^4.391 + t^4.464 + 2*t^4.536 + 2*t^4.609 + 2*t^4.682 + 2*t^5.049 + t^5.195 + 4*t^5.268 + t^5.341 + t^5.414 + t^5.487 + 4*t^5.854 + 2*t^5.927 - 2*t^6. - t^4.464/y - t^4.464*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3003 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.6271 | 0.8146 | 0.7698 | [M:[0.9334, 1.0, 0.7084, 1.225, 0.7084, 1.0666, 0.775], q:[0.5333, 0.5333], qb:[0.7583, 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 |