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 |
---|---|---|---|---|---|---|---|---|---|
45760 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1q_1\tilde{q}_1$ | 0.9037 | 0.9394 | 0.962 | [X:[1.6509, 1.4763], M:[1.0474], q:[0.4763], qb:[0.4763], phi:[0.1746]] | [X:[[0, 2], [0, 3]], M:[[0, -6]], q:[[-1, 6]], qb:[[1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_1$, $ X_2$, $ X_1$, $ \phi_1^3\tilde{q}_1^3$, $ \phi_1^3q_1^3$ | . | -2 | t^3.14 + t^3.38 + t^3.91 + t^4.43 + t^4.95 + 2*t^5.86 - 2*t^6. + t^6.28 + t^6.76 + t^7.05 + t^7.29 + 2*t^7.57 + 2*t^7.81 - 2*t^7.95 + 2*t^8.09 + t^8.33 - 2*t^8.48 + t^8.62 + t^8.86 + t^7.57/y^2 - t^3.52/y - t^4.05/y - t^6.67/y - t^7.19/y - t^7.43/y - t^7.95/y - t^8.48/y - t^3.52*y - t^4.05*y - t^6.67*y - t^7.19*y - t^7.43*y - t^7.95*y - t^8.48*y + t^7.57*y^2 | t^3.14/g2^6 + g2^5*t^3.38 + g2^4*t^3.91 + g2^3*t^4.43 + g2^2*t^4.95 + (g1^3*t^5.86)/g2^3 + (g2^15*t^5.86)/g1^3 - 2*t^6. + t^6.28/g2^12 + g2^10*t^6.76 + t^7.05/g2^2 + g2^9*t^7.29 + (2*t^7.57)/g2^3 + 2*g2^8*t^7.81 - (g1^3*t^7.95)/g2^7 - (g2^11*t^7.95)/g1^3 + (2*t^8.09)/g2^4 + g2^7*t^8.33 - (g1^3*t^8.48)/g2^8 - (g2^10*t^8.48)/g1^3 + t^8.62/g2^5 + g2^6*t^8.86 + t^7.57/(g2^3*y^2) - t^3.52/(g2*y) - t^4.05/(g2^2*y) - t^6.67/(g2^7*y) - t^7.19/(g2^8*y) - (g2^3*t^7.43)/y - (g2^2*t^7.95)/y - (g2*t^8.48)/y - (t^3.52*y)/g2 - (t^4.05*y)/g2^2 - (t^6.67*y)/g2^7 - (t^7.19*y)/g2^8 - g2^3*t^7.43*y - g2^2*t^7.95*y - g2*t^8.48*y + (t^7.57*y^2)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|
45773 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2q_1\tilde{q}_1$ | 0.9243 | 0.9785 | 0.9447 | [X:[1.6535, 1.4802], M:[1.0396, 0.6931], q:[0.4802], qb:[0.4802], phi:[0.1733]] | t^2.08 + t^3.12 + t^3.4 + t^4.16 + t^4.44 + t^4.96 + t^5.2 + t^5.48 + 2*t^5.88 - 2*t^6. - t^3.52/y - t^4.04/y - t^5.6/y - t^3.52*y - t^4.04*y - t^5.6*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 |
---|---|---|---|---|---|---|---|---|---|
45755 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ | 0.9113 | 0.9605 | 0.9488 | [X:[1.6284, 1.4426], M:[], q:[0.4426], qb:[0.4426], phi:[0.1858]] | t^2.66 + t^3.21 + t^3.77 + t^4.33 + t^4.89 + t^5.31 + 2*t^5.66 + t^5.87 - 2*t^6. - t^3.56/y - t^4.11/y - t^3.56*y - t^4.11*y | detail |