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 |
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5163 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{3}X_{1}$ | 0.5867 | 0.7237 | 0.8107 | [X:[1.4173], M:[1.0067, 1.2053, 0.5827, 0.808, 0.7813, 1.192, 0.9933, 0.808], q:[0.6887, 0.3047], qb:[0.5033, 0.914], phi:[0.3973]] | [X:[[26]], M:[[10], [8], [-26], [12], [-28], [-12], [-10], [12]], q:[[-17], [7]], qb:[[5], [21]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }X_{1}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.344 + 2*t^2.424 + t^2.98 + t^3.02 + 2*t^3.616 + t^4.212 + t^4.252 + t^4.688 + 2*t^4.768 + t^4.808 + 3*t^4.848 + t^5.324 + t^5.404 + 2*t^5.444 + 2*t^5.96 - 2*t^6. + 4*t^6.04 + 2*t^6.636 + 2*t^6.676 + t^7.032 + 2*t^7.112 + t^7.192 + 3*t^7.232 + 4*t^7.272 + t^7.668 + t^7.748 - t^7.788 + t^7.828 + 4*t^7.868 + 2*t^8.304 - 3*t^8.344 + 2*t^8.384 - 4*t^8.424 + 6*t^8.464 + t^8.504 + t^8.94 - 2*t^8.98 - t^4.192/y - t^6.536/y - t^6.616/y + (3*t^7.768)/y + (2*t^7.848)/y + t^8.324/y + t^8.364/y + (2*t^8.404)/y + (2*t^8.444)/y - t^8.88/y + t^8.96/y - t^4.192*y - t^6.536*y - t^6.616*y + 3*t^7.768*y + 2*t^7.848*y + t^8.324*y + t^8.364*y + 2*t^8.404*y + 2*t^8.444*y - t^8.88*y + t^8.96*y | t^2.344/g1^28 + 2*g1^12*t^2.424 + t^2.98/g1^10 + g1^10*t^3.02 + 2*g1^8*t^3.616 + g1^6*t^4.212 + g1^26*t^4.252 + t^4.688/g1^56 + (2*t^4.768)/g1^16 + g1^4*t^4.808 + 3*g1^24*t^4.848 + t^5.324/g1^38 + g1^2*t^5.404 + 2*g1^22*t^5.444 + (2*t^5.96)/g1^20 - 2*t^6. + 4*g1^20*t^6.04 + 2*g1^18*t^6.636 + 2*g1^38*t^6.676 + t^7.032/g1^84 + (2*t^7.112)/g1^44 + t^7.192/g1^4 + 3*g1^16*t^7.232 + 4*g1^36*t^7.272 + t^7.668/g1^66 + t^7.748/g1^26 - t^7.788/g1^6 + g1^14*t^7.828 + 4*g1^34*t^7.868 + (2*t^8.304)/g1^48 - (3*t^8.344)/g1^28 + (2*t^8.384)/g1^8 - 4*g1^12*t^8.424 + 6*g1^32*t^8.464 + g1^52*t^8.504 + t^8.94/g1^30 - (2*t^8.98)/g1^10 - t^4.192/(g1^4*y) - t^6.536/(g1^32*y) - (g1^8*t^6.616)/y + (3*t^7.768)/(g1^16*y) + (2*g1^24*t^7.848)/y + t^8.324/(g1^38*y) + t^8.364/(g1^18*y) + (2*g1^2*t^8.404)/y + (2*g1^22*t^8.444)/y - t^8.88/(g1^60*y) + t^8.96/(g1^20*y) - (t^4.192*y)/g1^4 - (t^6.536*y)/g1^32 - g1^8*t^6.616*y + (3*t^7.768*y)/g1^16 + 2*g1^24*t^7.848*y + (t^8.324*y)/g1^38 + (t^8.364*y)/g1^18 + 2*g1^2*t^8.404*y + 2*g1^22*t^8.444*y - (t^8.88*y)/g1^60 + (t^8.96*y)/g1^20 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
3482 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{6}M_{8}$ | 0.6727 | 0.8545 | 0.7872 | [M:[0.7831, 1.2306, 0.7556, 0.8459, 0.6928, 1.1541, 0.7066, 0.8459], q:[0.7625, 0.4544], qb:[0.3916, 0.8528], phi:[0.3847]] | t^2.079 + t^2.12 + t^2.267 + t^2.349 + 2*t^2.538 + t^3.503 + 2*t^3.692 + t^4.157 + t^4.198 + t^4.24 + t^4.345 + t^4.387 + t^4.428 + t^4.469 + t^4.534 + 3*t^4.616 + 2*t^4.658 + t^4.699 + 2*t^4.805 + t^4.846 + 2*t^4.887 + 3*t^5.076 + t^5.582 + t^5.623 + 2*t^5.77 + t^5.812 + t^5.853 + t^5.959 - 3*t^6. - t^4.154/y - t^4.154*y | detail |