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 |
---|---|---|---|---|---|---|---|---|---|
8340 | G2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^2q_1^2$ + $ M_2q_1^2$ | 1.3148 | 1.3957 | 0.942 | [X:[1.7051], M:[0.8848, 1.1797], q:[0.4102], qb:[], phi:[0.1475]] | [X:[[2]], M:[[-6], [-8]], q:[[4]], qb:[], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^3q_1$, $ M_1$, $ \phi_1^6$, $ M_2$, $ \phi_1^4q_1^2$, $ \phi_1^3q_1^3$, $ \phi_1^6q_1^2$, $ X_1$, $ M_1\phi_1^3q_1$, $ \phi_1^9q_1$, $ M_1^2$, $ M_1\phi_1^6$, $ \phi_1^12$ | . | -1 | t^2.56 + 2*t^2.65 + t^3.54 + t^4.23 + t^5.02 + 2*t^5.12 + 2*t^5.21 + 3*t^5.31 - t^6. + 2*t^6.19 + t^6.35 + t^6.79 + 2*t^6.88 + t^7.08 - t^7.33 + t^7.58 + 3*t^7.67 + 4*t^7.77 + 3*t^7.87 + 4*t^7.96 - t^8.12 + 3*t^8.85 + t^8.9 + t^8.56/y^2 + t^8.65/y^2 - t^3.44/y - t^5.12/y - t^5.21/y - t^6./y - (2*t^6.1)/y - t^6.98/y - t^7.67/y - (2*t^7.77)/y - (2*t^7.87)/y + (2*t^8.21)/y + t^8.31/y - (2*t^8.65)/y - (4*t^8.75)/y - t^3.44*y - t^5.12*y - t^5.21*y - t^6.*y - 2*t^6.1*y - t^6.98*y - t^7.67*y - 2*t^7.77*y - 2*t^7.87*y + 2*t^8.21*y + t^8.31*y - 2*t^8.65*y - 4*t^8.75*y + t^8.56*y^2 + t^8.65*y^2 | g1*t^2.56 + (2*t^2.65)/g1^6 + t^3.54/g1^8 + g1^4*t^4.23 + g1^9*t^5.02 + 2*g1^2*t^5.12 + (2*t^5.21)/g1^5 + (3*t^5.31)/g1^12 - t^6. + (2*t^6.19)/g1^14 + g1^6*t^6.35 + g1^5*t^6.79 + (2*t^6.88)/g1^2 + t^7.08/g1^16 - t^7.33/g1^3 + g1^10*t^7.58 + 3*g1^3*t^7.67 + (4*t^7.77)/g1^4 + (3*t^7.87)/g1^11 + (4*t^7.96)/g1^18 - g1^2*t^8.12 + (3*t^8.85)/g1^20 + g1^7*t^8.9 + (g1*t^8.56)/y^2 + t^8.65/(g1^6*y^2) - t^3.44/(g1*y) - (g1^2*t^5.12)/y - t^5.21/(g1^5*y) - t^6./y - (2*t^6.1)/(g1^7*y) - t^6.98/(g1^9*y) - (g1^3*t^7.67)/y - (2*t^7.77)/(g1^4*y) - (2*t^7.87)/(g1^11*y) + (2*t^8.21)/(g1^5*y) + t^8.31/(g1^12*y) - (2*t^8.65)/(g1^6*y) - (4*t^8.75)/(g1^13*y) - (t^3.44*y)/g1 - g1^2*t^5.12*y - (t^5.21*y)/g1^5 - t^6.*y - (2*t^6.1*y)/g1^7 - (t^6.98*y)/g1^9 - g1^3*t^7.67*y - (2*t^7.77*y)/g1^4 - (2*t^7.87*y)/g1^11 + (2*t^8.21*y)/g1^5 + (t^8.31*y)/g1^12 - (2*t^8.65*y)/g1^6 - (4*t^8.75*y)/g1^13 + g1*t^8.56*y^2 + (t^8.65*y^2)/g1^6 |
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 |
---|---|---|---|---|---|---|---|---|
8380 | $\phi_1^2X_1$ + $ M_1\phi_1^2q_1^2$ + $ M_2q_1^2$ + $ M_3\phi_1^3q_1$ | 1.3019 | 1.3736 | 0.9478 | [X:[1.7064], M:[0.8808, 1.1744, 1.1468], q:[0.4128], qb:[], phi:[0.1468]] | 2*t^2.64 + t^3.44 + t^3.52 + t^4.24 + t^5.04 + t^5.12 + 3*t^5.28 - t^6. - t^3.44/y - t^5.12/y - t^5.2/y - t^3.44*y - t^5.12*y - t^5.2*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 |
---|---|---|---|---|---|---|---|---|---|
8313 | G2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^2q_1^2$ | 1.3311 | 1.4257 | 0.9336 | [X:[1.6972], M:[0.9085], q:[0.3944], qb:[], phi:[0.1514]] | t^2.37 + t^2.55 + 2*t^2.73 + t^4.18 + t^4.73 + 2*t^4.91 + 4*t^5.09 + 2*t^5.27 + 3*t^5.45 - t^6. - t^3.45/y - t^5.09/y - t^5.27/y - t^5.82/y - t^6./y - t^3.45*y - t^5.09*y - t^5.27*y - t^5.82*y - t^6.*y | detail |