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 |
---|---|---|---|---|---|---|---|---|---|
4412 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{6}M_{8}$ | 0.6327 | 0.7835 | 0.8075 | [M:[0.8894, 1.0481, 1.0144, 0.7933, 1.1106, 1.2067, 1.1106, 0.7933], q:[0.762, 0.3486], qb:[0.4447, 0.5408], phi:[0.476]] | [M:[[14], [12], [-38], [-10], [-14], [10], [-14], [-10]], q:[[3], [-17]], qb:[[7], [31]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{8}\phi_{1}q_{2}^{2}$ | ${}$ | -3 | 2*t^2.38 + t^3.043 + t^3.144 + 2*t^3.332 + t^3.519 + t^3.808 + t^3.909 + 2*t^4.096 + t^4.385 + t^4.673 + 3*t^4.76 + t^5.423 + 2*t^5.524 + 2*t^5.712 + 2*t^5.899 - 3*t^6. + t^6.087 + 2*t^6.188 + 2*t^6.375 + 4*t^6.476 + t^6.563 - t^6.577 + 2*t^6.664 + 2*t^6.851 + t^7.039 + 2*t^7.053 + 5*t^7.139 + t^7.24 + t^7.327 + 2*t^7.428 + 2*t^7.615 + t^7.803 + t^7.817 + 4*t^7.904 + t^8.005 + 2*t^8.091 + 2*t^8.192 + 3*t^8.279 - 6*t^8.38 + t^8.467 + t^8.481 + 2*t^8.567 + t^8.582 - t^8.668 + t^8.755 + 2*t^8.769 + 4*t^8.856 + t^8.942 - 2*t^8.957 - t^4.428/y - t^6.808/y + t^7.096/y + t^7.385/y - t^7.471/y + t^8.048/y + (2*t^8.423)/y + (2*t^8.524)/y + (4*t^8.712)/y + (2*t^8.899)/y - t^4.428*y - t^6.808*y + t^7.096*y + t^7.385*y - t^7.471*y + t^8.048*y + 2*t^8.423*y + 2*t^8.524*y + 4*t^8.712*y + 2*t^8.899*y | (2*t^2.38)/g1^10 + t^3.043/g1^38 + g1^12*t^3.144 + (2*t^3.332)/g1^14 + t^3.519/g1^40 + t^3.808/g1^16 + g1^34*t^3.909 + 2*g1^8*t^4.096 + g1^32*t^4.385 + g1^56*t^4.673 + (3*t^4.76)/g1^20 + t^5.423/g1^48 + 2*g1^2*t^5.524 + (2*t^5.712)/g1^24 + (2*t^5.899)/g1^50 - 3*t^6. + t^6.087/g1^76 + (2*t^6.188)/g1^26 + (2*t^6.375)/g1^52 + (4*t^6.476)/g1^2 + t^6.563/g1^78 - g1^48*t^6.577 + (2*t^6.664)/g1^28 + (2*t^6.851)/g1^54 + t^7.039/g1^80 + 2*g1^46*t^7.053 + (5*t^7.139)/g1^30 + g1^20*t^7.24 + t^7.327/g1^56 + (2*t^7.428)/g1^6 + (2*t^7.615)/g1^32 + t^7.803/g1^58 + g1^68*t^7.817 + (4*t^7.904)/g1^8 + g1^42*t^8.005 + (2*t^8.091)/g1^34 + 2*g1^16*t^8.192 + (3*t^8.279)/g1^60 - (6*t^8.38)/g1^10 + t^8.467/g1^86 + g1^40*t^8.481 + (2*t^8.567)/g1^36 + g1^90*t^8.582 - g1^14*t^8.668 + t^8.755/g1^62 + 2*g1^64*t^8.769 + (4*t^8.856)/g1^12 + t^8.942/g1^88 - 2*g1^38*t^8.957 - t^4.428/(g1^6*y) - t^6.808/(g1^16*y) + (g1^8*t^7.096)/y + (g1^32*t^7.385)/y - t^7.471/(g1^44*y) + (g1^4*t^8.048)/y + (2*t^8.423)/(g1^48*y) + (2*g1^2*t^8.524)/y + (4*t^8.712)/(g1^24*y) + (2*t^8.899)/(g1^50*y) - (t^4.428*y)/g1^6 - (t^6.808*y)/g1^16 + g1^8*t^7.096*y + g1^32*t^7.385*y - (t^7.471*y)/g1^44 + g1^4*t^8.048*y + (2*t^8.423*y)/g1^48 + 2*g1^2*t^8.524*y + (4*t^8.712*y)/g1^24 + (2*t^8.899*y)/g1^50 |
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 |
---|---|---|---|---|---|---|---|---|
5921 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.6488 | 0.8117 | 0.7993 | [M:[0.8756, 1.0363, 1.0518, 0.8031, 1.1244, 1.1969, 1.1244, 0.8031, 0.7876], q:[0.7591, 0.3653], qb:[0.4378, 0.5104], phi:[0.4819]] | t^2.363 + 2*t^2.409 + t^3.109 + t^3.155 + 2*t^3.373 + t^3.808 + t^3.855 + 2*t^4.073 + t^4.29 + t^4.508 + t^4.725 + 2*t^4.772 + 3*t^4.819 + t^5.471 + 3*t^5.518 + t^5.565 + 2*t^5.736 + 2*t^5.782 - 3*t^6. - t^4.446/y - t^4.446*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 |
---|---|---|---|---|---|---|---|---|---|
2389 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6159 | 0.7536 | 0.8172 | [M:[0.8858, 1.045, 1.0243, 0.7959, 1.1142, 1.2041, 1.1142], q:[0.7612, 0.353], qb:[0.4429, 0.5328], phi:[0.4775]] | t^2.388 + t^3.073 + t^3.135 + 2*t^3.343 + t^3.55 + t^3.612 + t^3.82 + t^3.882 + 2*t^4.09 + t^4.36 + t^4.63 + t^4.775 + t^5.522 + t^5.938 - 2*t^6. - t^4.433/y - t^4.433*y | detail |