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 |
|---|---|---|---|---|---|---|---|---|---|
| 2668 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6793 | 0.8476 | 0.8014 | [M:[1.0215, 0.7889, 0.9785, 0.8319, 1.1681, 0.7585, 1.0215], q:[0.5841, 0.3944], qb:[0.4374, 0.7737], phi:[0.4526]] | [M:[[22], [-30], [-22], [14], [-14], [32], [22]], q:[[-7], [-15]], qb:[[29], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$ | ${}$ | -2 | t^2.276 + t^2.367 + t^2.496 + t^2.716 + 2*t^3.064 + t^3.504 + t^3.853 + t^3.982 + t^4.073 + t^4.293 + t^4.422 + t^4.551 + t^4.642 + t^4.733 + t^4.771 + 2*t^4.862 + 2*t^4.991 + t^5.082 + t^5.211 + 2*t^5.34 + 2*t^5.431 + t^5.56 + 3*t^5.78 - 2*t^6. + 3*t^6.129 + t^6.22 + t^6.258 + 2*t^6.349 + t^6.478 + 2*t^6.569 + t^6.66 + 2*t^6.698 + t^6.827 + 2*t^6.918 + t^7.009 + 3*t^7.047 + t^7.1 + 3*t^7.138 + t^7.229 + t^7.267 + 2*t^7.358 + t^7.449 + 3*t^7.487 + 2*t^7.578 + 2*t^7.616 + 2*t^7.707 + t^7.798 + 2*t^7.836 + 2*t^7.927 + t^7.965 + 4*t^8.056 + t^8.147 - t^8.276 - 2*t^8.367 + 4*t^8.404 + 2*t^8.496 + t^8.533 + 2*t^8.624 - 2*t^8.716 + t^8.753 + 6*t^8.844 + 3*t^8.973 - t^4.358/y - t^6.633/y - t^6.724/y - t^7.073/y + t^7.293/y - t^7.422/y + (2*t^7.642)/y + t^7.771/y + t^7.862/y + (2*t^7.991)/y + (2*t^8.082)/y + t^8.211/y + (2*t^8.34)/y + (2*t^8.431)/y + (2*t^8.56)/y + (3*t^8.78)/y + t^8.871/y - t^8.909/y - t^4.358*y - t^6.633*y - t^6.724*y - t^7.073*y + t^7.293*y - t^7.422*y + 2*t^7.642*y + t^7.771*y + t^7.862*y + 2*t^7.991*y + 2*t^8.082*y + t^8.211*y + 2*t^8.34*y + 2*t^8.431*y + 2*t^8.56*y + 3*t^8.78*y + t^8.871*y - t^8.909*y | g1^32*t^2.276 + t^2.367/g1^30 + g1^14*t^2.496 + t^2.716/g1^4 + 2*g1^22*t^3.064 + t^3.504/g1^14 + g1^12*t^3.853 + g1^56*t^3.982 + t^4.073/g1^6 + t^4.293/g1^24 + g1^20*t^4.422 + g1^64*t^4.551 + g1^2*t^4.642 + t^4.733/g1^60 + g1^46*t^4.771 + (2*t^4.862)/g1^16 + 2*g1^28*t^4.991 + t^5.082/g1^34 + g1^10*t^5.211 + 2*g1^54*t^5.34 + (2*t^5.431)/g1^8 + g1^36*t^5.56 + 3*g1^18*t^5.78 - 2*t^6. + 3*g1^44*t^6.129 + t^6.22/g1^18 + g1^88*t^6.258 + 2*g1^26*t^6.349 + g1^70*t^6.478 + 2*g1^8*t^6.569 + t^6.66/g1^54 + 2*g1^52*t^6.698 + g1^96*t^6.827 + 2*g1^34*t^6.918 + t^7.009/g1^28 + 3*g1^78*t^7.047 + t^7.1/g1^90 + 3*g1^16*t^7.138 + t^7.229/g1^46 + g1^60*t^7.267 + (2*t^7.358)/g1^2 + t^7.449/g1^64 + 3*g1^42*t^7.487 + (2*t^7.578)/g1^20 + 2*g1^86*t^7.616 + 2*g1^24*t^7.707 + t^7.798/g1^38 + 2*g1^68*t^7.836 + 2*g1^6*t^7.927 + g1^112*t^7.965 + 4*g1^50*t^8.056 + t^8.147/g1^12 - g1^32*t^8.276 - (2*t^8.367)/g1^30 + 4*g1^76*t^8.404 + 2*g1^14*t^8.496 + g1^120*t^8.533 + 2*g1^58*t^8.624 - (2*t^8.716)/g1^4 + g1^102*t^8.753 + 6*g1^40*t^8.844 + 3*g1^84*t^8.973 - t^4.358/(g1^2*y) - (g1^30*t^6.633)/y - t^6.724/(g1^32*y) - t^7.073/(g1^6*y) + t^7.293/(g1^24*y) - (g1^20*t^7.422)/y + (2*g1^2*t^7.642)/y + (g1^46*t^7.771)/y + t^7.862/(g1^16*y) + (2*g1^28*t^7.991)/y + (2*t^8.082)/(g1^34*y) + (g1^10*t^8.211)/y + (2*g1^54*t^8.34)/y + (2*t^8.431)/(g1^8*y) + (2*g1^36*t^8.56)/y + (3*g1^18*t^8.78)/y + t^8.871/(g1^44*y) - (g1^62*t^8.909)/y - (t^4.358*y)/g1^2 - g1^30*t^6.633*y - (t^6.724*y)/g1^32 - (t^7.073*y)/g1^6 + (t^7.293*y)/g1^24 - g1^20*t^7.422*y + 2*g1^2*t^7.642*y + g1^46*t^7.771*y + (t^7.862*y)/g1^16 + 2*g1^28*t^7.991*y + (2*t^8.082*y)/g1^34 + g1^10*t^8.211*y + 2*g1^54*t^8.34*y + (2*t^8.431*y)/g1^8 + 2*g1^36*t^8.56*y + 3*g1^18*t^8.78*y + (t^8.871*y)/g1^44 - g1^62*t^8.909*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 |
|---|---|---|---|---|---|---|---|---|
| 4831 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7001 | 0.889 | 0.7875 | [M:[1.0224, 0.7877, 0.9776, 0.8324, 1.1676, 0.7598, 1.0224, 0.6703], q:[0.5838, 0.3938], qb:[0.4386, 0.7737], phi:[0.4525]] | t^2.011 + t^2.279 + t^2.363 + t^2.497 + t^2.715 + 2*t^3.067 + t^3.503 + t^3.855 + t^4.022 + t^4.073 + 2*t^4.29 + t^4.374 + t^4.425 + t^4.508 + t^4.559 + t^4.642 + 2*t^4.726 + t^4.777 + 2*t^4.86 + 2*t^4.995 + 3*t^5.078 + t^5.212 + 2*t^5.347 + 2*t^5.43 + t^5.514 + t^5.564 + 3*t^5.782 + t^5.866 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1539 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.682 | 0.8512 | 0.8012 | [M:[1.0374, 0.7672, 0.9626, 0.842, 1.158, 0.7816], q:[0.579, 0.3836], qb:[0.4583, 0.7744], phi:[0.4511]] | t^2.302 + t^2.345 + t^2.526 + t^2.707 + t^2.888 + t^3.112 + t^3.474 + t^3.879 + t^4.06 + t^4.103 + t^4.241 + t^4.466 + t^4.603 + t^4.647 + t^4.69 + 2*t^4.828 + t^4.871 + t^5.009 + 2*t^5.052 + t^5.19 + 2*t^5.233 + 2*t^5.414 + t^5.457 + t^5.595 + t^5.776 + 2*t^5.819 - t^6. - t^4.353/y - t^4.353*y | detail |