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 |
|---|---|---|---|---|---|---|---|---|---|
| 4182 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{8}$ | 0.6857 | 0.868 | 0.79 | [M:[1.1672, 1.0831, 0.959, 0.8328, 0.8328, 0.7087, 0.7508, 1.041], q:[0.7708, 0.3544], qb:[0.4784, 0.5626], phi:[0.4585]] | [M:[[8], [-4], [10], [-8], [-8], [6], [12], [-10]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{8}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{4}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$ | ${}$ | -2 | t^2.126 + t^2.252 + 2*t^2.498 + t^2.751 + t^3.123 + t^3.249 + t^3.375 + t^4. + t^4.126 + t^4.246 + t^4.252 + t^4.379 + t^4.498 + t^4.505 + 2*t^4.625 + 3*t^4.751 + t^4.877 + 3*t^4.997 + t^5.003 + 3*t^5.249 + t^5.375 + 3*t^5.502 + 2*t^5.621 + t^5.748 + 3*t^5.874 - 2*t^6. + t^6.126 + t^6.246 + t^6.252 + t^6.372 + 2*t^6.379 + 3*t^6.498 + t^6.505 + t^6.625 + t^6.631 + 2*t^6.744 + 2*t^6.751 + t^6.757 + 3*t^6.877 + 2*t^6.997 + 3*t^7.003 + 2*t^7.123 + t^7.13 + 5*t^7.249 + t^7.256 + t^7.369 + 2*t^7.375 + 4*t^7.495 + 4*t^7.502 + t^7.621 + 2*t^7.628 + 3*t^7.748 + 2*t^7.754 + t^7.874 + 4*t^8. + 3*t^8.12 - t^8.126 + t^8.246 + 5*t^8.372 + t^8.492 - 4*t^8.498 + 2*t^8.505 + 3*t^8.625 + 2*t^8.631 + 3*t^8.744 - t^8.751 + t^8.757 + t^8.87 + 3*t^8.877 + t^8.884 + 6*t^8.997 - t^4.375/y - t^6.502/y - t^6.628/y - t^6.874/y + t^7.379/y + (2*t^7.625)/y + (2*t^7.751)/y + (2*t^7.877)/y + t^7.997/y + t^8.003/y + t^8.123/y + (4*t^8.249)/y + (2*t^8.375)/y + (2*t^8.502)/y + (2*t^8.621)/y + (2*t^8.748)/y - t^8.754/y + (3*t^8.874)/y - t^8.88/y - t^4.375*y - t^6.502*y - t^6.628*y - t^6.874*y + t^7.379*y + 2*t^7.625*y + 2*t^7.751*y + 2*t^7.877*y + t^7.997*y + t^8.003*y + t^8.123*y + 4*t^8.249*y + 2*t^8.375*y + 2*t^8.502*y + 2*t^8.621*y + 2*t^8.748*y - t^8.754*y + 3*t^8.874*y - t^8.88*y | g1^6*t^2.126 + g1^12*t^2.252 + (2*t^2.498)/g1^8 + g1^4*t^2.751 + t^3.123/g1^10 + t^3.249/g1^4 + g1^2*t^3.375 + t^4. + g1^6*t^4.126 + t^4.246/g1^20 + g1^12*t^4.252 + g1^18*t^4.379 + t^4.498/g1^8 + g1^24*t^4.505 + (2*t^4.625)/g1^2 + 3*g1^4*t^4.751 + g1^10*t^4.877 + (3*t^4.997)/g1^16 + g1^16*t^5.003 + (3*t^5.249)/g1^4 + g1^2*t^5.375 + 3*g1^8*t^5.502 + (2*t^5.621)/g1^18 + t^5.748/g1^12 + (3*t^5.874)/g1^6 - 2*t^6. + g1^6*t^6.126 + t^6.246/g1^20 + g1^12*t^6.252 + t^6.372/g1^14 + 2*g1^18*t^6.379 + (3*t^6.498)/g1^8 + g1^24*t^6.505 + t^6.625/g1^2 + g1^30*t^6.631 + (2*t^6.744)/g1^28 + 2*g1^4*t^6.751 + g1^36*t^6.757 + 3*g1^10*t^6.877 + (2*t^6.997)/g1^16 + 3*g1^16*t^7.003 + (2*t^7.123)/g1^10 + g1^22*t^7.13 + (5*t^7.249)/g1^4 + g1^28*t^7.256 + t^7.369/g1^30 + 2*g1^2*t^7.375 + (4*t^7.495)/g1^24 + 4*g1^8*t^7.502 + t^7.621/g1^18 + 2*g1^14*t^7.628 + (3*t^7.748)/g1^12 + 2*g1^20*t^7.754 + t^7.874/g1^6 + 4*t^8. + (3*t^8.12)/g1^26 - g1^6*t^8.126 + t^8.246/g1^20 + (5*t^8.372)/g1^14 + t^8.492/g1^40 - (4*t^8.498)/g1^8 + 2*g1^24*t^8.505 + (3*t^8.625)/g1^2 + 2*g1^30*t^8.631 + (3*t^8.744)/g1^28 - g1^4*t^8.751 + g1^36*t^8.757 + t^8.87/g1^22 + 3*g1^10*t^8.877 + g1^42*t^8.884 + (6*t^8.997)/g1^16 - (g1^2*t^4.375)/y - (g1^8*t^6.502)/y - (g1^14*t^6.628)/y - t^6.874/(g1^6*y) + (g1^18*t^7.379)/y + (2*t^7.625)/(g1^2*y) + (2*g1^4*t^7.751)/y + (2*g1^10*t^7.877)/y + t^7.997/(g1^16*y) + (g1^16*t^8.003)/y + t^8.123/(g1^10*y) + (4*t^8.249)/(g1^4*y) + (2*g1^2*t^8.375)/y + (2*g1^8*t^8.502)/y + (2*t^8.621)/(g1^18*y) + (2*t^8.748)/(g1^12*y) - (g1^20*t^8.754)/y + (3*t^8.874)/(g1^6*y) - (g1^26*t^8.88)/y - g1^2*t^4.375*y - g1^8*t^6.502*y - g1^14*t^6.628*y - (t^6.874*y)/g1^6 + g1^18*t^7.379*y + (2*t^7.625*y)/g1^2 + 2*g1^4*t^7.751*y + 2*g1^10*t^7.877*y + (t^7.997*y)/g1^16 + g1^16*t^8.003*y + (t^8.123*y)/g1^10 + (4*t^8.249*y)/g1^4 + 2*g1^2*t^8.375*y + 2*g1^8*t^8.502*y + (2*t^8.621*y)/g1^18 + (2*t^8.748*y)/g1^12 - g1^20*t^8.754*y + (3*t^8.874*y)/g1^6 - g1^26*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 5688 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.6783 | 0.8559 | 0.7925 | [M:[1.1755, 1.0789, 0.9694, 0.8245, 0.8245, 0.715, 0.7633, 1.0306, 1.0789], q:[0.7697, 0.3575], qb:[0.467, 0.5636], phi:[0.4605]] | t^2.145 + t^2.29 + 2*t^2.473 + t^3.092 + 2*t^3.237 + t^3.382 + t^4. + t^4.145 + t^4.184 + t^4.29 + t^4.435 + t^4.473 + t^4.58 + 2*t^4.618 + 3*t^4.763 + 3*t^4.947 + t^5.237 + 2*t^5.382 + 3*t^5.527 + 2*t^5.565 + 3*t^5.71 + 2*t^5.855 - 3*t^6. - t^4.382/y - t^4.382*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2184 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6908 | 0.8766 | 0.788 | [M:[1.1459, 1.0937, 0.9324, 0.8541, 0.8541, 0.6928, 0.7188], q:[0.7734, 0.3464], qb:[0.5077, 0.5599], phi:[0.4531]] | t^2.078 + t^2.157 + 2*t^2.562 + t^2.719 + t^2.797 + t^3.281 + t^3.359 + t^4. + t^4.078 + t^4.157 + t^4.235 + t^4.313 + t^4.406 + t^4.562 + 2*t^4.641 + 3*t^4.719 + t^4.797 + 2*t^4.875 + t^4.954 + 3*t^5.125 + 2*t^5.281 + 2*t^5.359 + 3*t^5.438 + t^5.516 + t^5.594 + t^5.843 + 2*t^5.922 - 2*t^6. - t^4.359/y - t^4.359*y | detail |