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 |
---|---|---|---|---|---|---|---|---|---|
4661 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6372 | 0.7835 | 0.8133 | [X:[1.3405], M:[1.1063, 0.681, 0.6595, 1.1279, 0.8721, 0.8721, 1.1279, 1.1063], q:[0.5532, 0.3405], qb:[0.7874, 0.5316], phi:[0.4468]] | [X:[[3]], M:[[-2], [6], [-3], [7], [-7], [-7], [7], [-2]], q:[[-1], [3]], qb:[[4], [-10]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{8}$ | ${}M_{6}M_{7}$ | -2 | t^2.043 + t^2.616 + t^3.254 + 2*t^3.319 + 2*t^3.384 + t^3.957 + 2*t^4.022 + t^4.086 + t^4.53 + t^4.595 + t^4.659 + t^4.724 + t^5.297 + 2*t^5.362 + t^5.427 + t^5.871 + t^5.935 - 2*t^6. + 2*t^6.065 + t^6.129 + t^6.508 + 2*t^6.573 + 4*t^6.638 + 2*t^6.703 + 2*t^6.767 + t^7.146 + t^7.211 + 2*t^7.276 + 2*t^7.341 + 4*t^7.405 + t^7.47 + t^7.784 + 2*t^7.849 + 3*t^7.914 + t^7.978 - t^8.043 + 3*t^8.108 + t^8.173 + t^8.487 + t^8.552 - t^8.616 + 3*t^8.681 + t^8.746 + t^8.81 - t^4.341/y - t^6.384/y + t^7.022/y + (2*t^8.297)/y + (2*t^8.362)/y + t^8.427/y + t^8.871/y + (2*t^8.935)/y - t^4.341*y - t^6.384*y + t^7.022*y + 2*t^8.297*y + 2*t^8.362*y + t^8.427*y + t^8.871*y + 2*t^8.935*y | g1^6*t^2.043 + t^2.616/g1^7 + t^3.254/g1^11 + (2*t^3.319)/g1^2 + 2*g1^7*t^3.384 + t^3.957/g1^6 + 2*g1^3*t^4.022 + g1^12*t^4.086 + t^4.53/g1^19 + t^4.595/g1^10 + t^4.659/g1 + g1^8*t^4.724 + t^5.297/g1^5 + 2*g1^4*t^5.362 + g1^13*t^5.427 + t^5.871/g1^18 + t^5.935/g1^9 - 2*t^6. + 2*g1^9*t^6.065 + g1^18*t^6.129 + t^6.508/g1^22 + (2*t^6.573)/g1^13 + (4*t^6.638)/g1^4 + 2*g1^5*t^6.703 + 2*g1^14*t^6.767 + t^7.146/g1^26 + t^7.211/g1^17 + (2*t^7.276)/g1^8 + 2*g1*t^7.341 + 4*g1^10*t^7.405 + g1^19*t^7.47 + t^7.784/g1^30 + (2*t^7.849)/g1^21 + (3*t^7.914)/g1^12 + t^7.978/g1^3 - g1^6*t^8.043 + 3*g1^15*t^8.108 + g1^24*t^8.173 + t^8.487/g1^25 + t^8.552/g1^16 - t^8.616/g1^7 + 3*g1^2*t^8.681 + g1^11*t^8.746 + g1^20*t^8.81 - (g1*t^4.341)/y - (g1^7*t^6.384)/y + (g1^3*t^7.022)/y + (2*t^8.297)/(g1^5*y) + (2*g1^4*t^8.362)/y + (g1^13*t^8.427)/y + t^8.871/(g1^18*y) + (2*t^8.935)/(g1^9*y) - g1*t^4.341*y - g1^7*t^6.384*y + g1^3*t^7.022*y + (2*t^8.297*y)/g1^5 + 2*g1^4*t^8.362*y + g1^13*t^8.427*y + (t^8.871*y)/g1^18 + (2*t^8.935*y)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
6225 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{4}M_{9}$ | 0.6493 | 0.8051 | 0.8065 | [X:[1.3479], M:[1.1014, 0.6959, 0.6521, 1.1452, 0.8548, 0.8548, 1.1452, 1.1014, 0.8548], q:[0.5507, 0.3479], qb:[0.7972, 0.5069], phi:[0.4493]] | t^2.088 + 2*t^2.564 + t^3.173 + 2*t^3.304 + t^3.436 + t^3.912 + 2*t^4.044 + t^4.175 + t^4.389 + t^4.521 + 2*t^4.652 + t^4.783 + 2*t^5.129 + t^5.26 + 2*t^5.392 + 2*t^5.737 + 3*t^5.869 - 2*t^6. - t^4.348/y - t^4.348*y | detail | |
6227 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.658 | 0.8242 | 0.7983 | [X:[1.3399], M:[1.1067, 0.6798, 0.6601, 1.1265, 0.8735, 0.8735, 1.1265, 1.1067, 0.6798], q:[0.5534, 0.3399], qb:[0.7865, 0.5336], phi:[0.4466]] | 2*t^2.039 + t^2.621 + t^3.261 + 2*t^3.32 + 2*t^3.379 + 2*t^4.02 + 3*t^4.079 + t^4.542 + t^4.601 + 2*t^4.66 + t^4.719 + 2*t^5.3 + 4*t^5.36 + 3*t^5.419 + t^5.882 + t^5.941 - 3*t^6. - t^4.34/y - t^4.34*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2583 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ | 0.6469 | 0.7998 | 0.8088 | [X:[1.3381], M:[1.1079, 0.6763, 0.6619, 1.1223, 0.8777, 0.8777, 1.1223], q:[0.554, 0.3381], qb:[0.7842, 0.5395], phi:[0.446]] | t^2.029 + t^2.633 + t^2.676 + t^3.281 + t^3.324 + 2*t^3.367 + t^3.971 + 2*t^4.014 + t^4.058 + t^4.575 + t^4.619 + t^4.662 + 2*t^4.705 + 2*t^5.309 + 2*t^5.353 + t^5.396 + t^5.914 + t^5.957 - t^6. - t^4.338/y - t^4.338*y | detail |