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 |
---|---|---|---|---|---|---|---|---|---|
45235 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_3q_2^2$ | 1.8019 | 1.9337 | 0.9318 | [X:[], M:[1.0083, 0.6722, 0.8907], q:[0.437, 0.5546], qb:[], phi:[0.3361]] | [X:[], M:[[-9], [-6], [-2]], q:[[8], [1]], qb:[], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ \phi_1^2$, $ q_1^2$, $ M_3$, $ M_1$, $ q_2^2$, $ \phi_1^2q_2$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_2q_1^2$, $ \phi_1^2q_1^2$, $ M_2M_3$, $ M_3\phi_1^2$, $ \phi_1^2q_1q_2$, $ M_1M_2$, $ M_1\phi_1^2$, $ q_1^4$, $ M_3q_1^2$, $ M_3^2$, $ M_2q_2^2$, $ \phi_1^2q_2^2$, $ M_1M_3$, $ M_2\phi_1^2q_2$, $ \phi_1^4q_2$, $ q_1^2q_2^2$ | $\phi_1^3q_1q_2$ | 0 | 2*t^2.02 + t^2.62 + t^2.67 + t^3.03 + t^3.33 + t^3.68 + 4*t^4.03 + 3*t^4.64 + 2*t^4.69 + t^4.99 + 2*t^5.04 + t^5.24 + t^5.29 + 4*t^5.34 + 3*t^5.7 + t^5.95 + 7*t^6.05 + t^6.3 + 6*t^6.66 + 4*t^6.71 + 2*t^7.01 + 4*t^7.06 + 3*t^7.26 + 3*t^7.31 + 8*t^7.36 + t^7.61 + t^7.66 + 6*t^7.71 + t^7.87 + t^7.92 + 4*t^7.97 + 2*t^8.02 + 11*t^8.07 + 3*t^8.32 + t^8.37 + t^8.57 - t^8.62 + 10*t^8.67 + 7*t^8.72 + t^8.92 - 2*t^8.97 - t^4.01/y - t^5.32/y - t^5.67/y - (3*t^6.03)/y - t^6.63/y - t^6.68/y - (3*t^7.34)/y + (2*t^7.64)/y - t^7.69/y - t^7.94/y - (4*t^8.04)/y + t^8.34/y - (3*t^8.65)/y + t^8.95/y - t^4.01*y - t^5.32*y - t^5.67*y - 3*t^6.03*y - t^6.63*y - t^6.68*y - 3*t^7.34*y + 2*t^7.64*y - t^7.69*y - t^7.94*y - 4*t^8.04*y + t^8.34*y - 3*t^8.65*y + t^8.95*y | (2*t^2.02)/g1^6 + g1^16*t^2.62 + t^2.67/g1^2 + t^3.03/g1^9 + g1^2*t^3.33 + t^3.68/g1^5 + (4*t^4.03)/g1^12 + 3*g1^10*t^4.64 + (2*t^4.69)/g1^8 + g1^3*t^4.99 + (2*t^5.04)/g1^15 + g1^32*t^5.24 + g1^14*t^5.29 + (4*t^5.34)/g1^4 + (3*t^5.7)/g1^11 + g1^18*t^5.95 + (7*t^6.05)/g1^18 + g1^11*t^6.3 + 6*g1^4*t^6.66 + (4*t^6.71)/g1^14 + (2*t^7.01)/g1^3 + (4*t^7.06)/g1^21 + 3*g1^26*t^7.26 + 3*g1^8*t^7.31 + (8*t^7.36)/g1^10 + g1^19*t^7.61 + g1*t^7.66 + (6*t^7.71)/g1^17 + g1^48*t^7.87 + g1^30*t^7.92 + 4*g1^12*t^7.97 + (2*t^8.02)/g1^6 + (11*t^8.07)/g1^24 + 3*g1^5*t^8.32 + t^8.37/g1^13 + g1^34*t^8.57 - g1^16*t^8.62 + (10*t^8.67)/g1^2 + (7*t^8.72)/g1^20 + g1^27*t^8.92 - 2*g1^9*t^8.97 - t^4.01/(g1^3*y) - (g1^5*t^5.32)/y - t^5.67/(g1^2*y) - (3*t^6.03)/(g1^9*y) - (g1^13*t^6.63)/y - t^6.68/(g1^5*y) - (3*t^7.34)/(g1*y) + (2*g1^10*t^7.64)/y - t^7.69/(g1^8*y) - (g1^21*t^7.94)/y - (4*t^8.04)/(g1^15*y) + t^8.34/(g1^4*y) - (3*g1^7*t^8.65)/y + (g1^18*t^8.95)/y - (t^4.01*y)/g1^3 - g1^5*t^5.32*y - (t^5.67*y)/g1^2 - (3*t^6.03*y)/g1^9 - g1^13*t^6.63*y - (t^6.68*y)/g1^5 - (3*t^7.34*y)/g1 + 2*g1^10*t^7.64*y - (t^7.69*y)/g1^8 - g1^21*t^7.94*y - (4*t^8.04*y)/g1^15 + (t^8.34*y)/g1^4 - 3*g1^7*t^8.65*y + g1^18*t^8.95*y |
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 |
---|---|---|---|---|---|---|---|---|
45342 | $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_3q_2^2$ + $ M_3M_4$ | 1.792 | 1.917 | 0.9348 | [X:[], M:[1.0119, 0.6746, 0.8915, 1.1085], q:[0.4339, 0.5542], qb:[], phi:[0.3373]] | 2*t^2.02 + t^2.6 + t^3.04 + 2*t^3.33 + t^3.69 + 4*t^4.05 + 3*t^4.63 + t^4.99 + 2*t^5.06 + t^5.21 + 5*t^5.35 + 2*t^5.71 + 2*t^5.93 - t^6. - t^4.01/y - t^5.31/y - t^5.67/y - t^4.01*y - t^5.31*y - t^5.67*y | detail | |
45282 | $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_3q_2^2$ + $ M_4q_2^2$ | 1.8118 | 1.9505 | 0.9289 | [X:[], M:[1.0048, 0.6699, 0.89, 0.89], q:[0.4402, 0.555], qb:[], phi:[0.3349]] | 2*t^2.01 + t^2.64 + 2*t^2.67 + t^3.01 + t^3.67 + 4*t^4.02 + 3*t^4.65 + 4*t^4.68 + t^5. + 2*t^5.02 + t^5.28 + 2*t^5.31 + 4*t^5.34 + 4*t^5.68 - t^6. - t^4./y - t^5.33/y - t^5.67/y - t^4.*y - t^5.33*y - t^5.67*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 |
---|---|---|---|---|---|---|---|---|---|
44984 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ | 1.8293 | 1.966 | 0.9305 | [X:[], M:[1.0749, 0.7166, 0.8137], q:[0.4697, 0.4554], qb:[], phi:[0.3583]] | 2*t^2.15 + t^2.44 + t^2.73 + t^2.82 + t^3.22 + t^3.52 + 4*t^4.3 + 2*t^4.59 + 4*t^4.88 + t^4.93 + 3*t^4.97 + t^5.17 + t^5.26 + 2*t^5.37 + t^5.47 + t^5.55 + t^5.64 + 3*t^5.67 + t^5.96 - t^6. - t^4.07/y - t^5.44/y - t^5.48/y - t^4.07*y - t^5.44*y - t^5.48*y | detail |