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 |
---|---|---|---|---|---|---|---|---|---|
44944 | SO5adj1nf2 | $\phi_1^4q_1$ + $ M_1q_1^2$ | 1.7837 | 1.8999 | 0.9389 | [X:[], M:[1.0431], q:[0.4784, 0.3804], qb:[], phi:[0.3804]] | [X:[], M:[[8]], q:[[-4], [1]], qb:[], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ q_2^2$, $ q_1q_2$, $ M_1$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_2^2$, $ q_2^4$, $ \phi_1^2q_1q_2$, $ q_1q_2^3$, $ \phi_1^2q_1^2$, $ q_1^2q_2^2$, $ M_1\phi_1^2$, $ M_1q_2^2$, $ M_1q_1q_2$, $ \phi_1^2q_2^3$ | $2\phi_1^3q_1q_2$, $ 2\phi_1^2q_1q_2^2$, $ \phi_1q_1q_2^3$ | 4 | 2*t^2.28 + t^2.58 + t^3.13 + t^3.42 + 2*t^3.72 + 5*t^4.56 + 3*t^4.86 + 2*t^5.15 + 2*t^5.41 + 2*t^5.71 + 4*t^6. + t^6.26 + t^6.29 + t^6.55 + 9*t^6.85 + 7*t^7.14 + 6*t^7.44 + 5*t^7.69 + 2*t^7.73 + 5*t^7.99 + 9*t^8.28 + 2*t^8.54 + 2*t^8.58 + 2*t^8.84 + 2*t^8.87 - t^4.14/y - t^5.28/y - t^5.58/y - (3*t^6.42)/y - t^6.72/y - t^7.27/y - (2*t^7.56)/y - (2*t^7.86)/y - t^8.15/y + t^8.41/y - (4*t^8.71)/y - t^4.14*y - t^5.28*y - t^5.58*y - 3*t^6.42*y - t^6.72*y - t^7.27*y - 2*t^7.56*y - 2*t^7.86*y - t^8.15*y + t^8.41*y - 4*t^8.71*y | 2*g1^2*t^2.28 + t^2.58/g1^3 + g1^8*t^3.13 + g1^3*t^3.42 + (2*t^3.72)/g1^2 + 5*g1^4*t^4.56 + (3*t^4.86)/g1 + (2*t^5.15)/g1^6 + 2*g1^10*t^5.41 + 2*g1^5*t^5.71 + 4*t^6. + g1^16*t^6.26 + t^6.29/g1^5 + g1^11*t^6.55 + 9*g1^6*t^6.85 + 7*g1*t^7.14 + (6*t^7.44)/g1^4 + 5*g1^12*t^7.69 + (2*t^7.73)/g1^9 + 5*g1^7*t^7.99 + 9*g1^2*t^8.28 + 2*g1^18*t^8.54 + (2*t^8.58)/g1^3 + 2*g1^13*t^8.84 + (2*t^8.87)/g1^8 - (g1*t^4.14)/y - (g1^2*t^5.28)/y - t^5.58/(g1^3*y) - (3*g1^3*t^6.42)/y - t^6.72/(g1^2*y) - (g1^9*t^7.27)/y - (2*g1^4*t^7.56)/y - (2*t^7.86)/(g1*y) - t^8.15/(g1^6*y) + (g1^10*t^8.41)/y - (4*g1^5*t^8.71)/y - g1*t^4.14*y - g1^2*t^5.28*y - (t^5.58*y)/g1^3 - 3*g1^3*t^6.42*y - (t^6.72*y)/g1^2 - g1^9*t^7.27*y - 2*g1^4*t^7.56*y - (2*t^7.86*y)/g1 - (t^8.15*y)/g1^6 + g1^10*t^8.41*y - 4*g1^5*t^8.71*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 |
---|---|---|---|---|---|---|---|---|
45009 | $\phi_1^4q_1$ + $ M_1q_1^2$ + $ M_2\phi_1^2q_1$ | 1.8023 | 1.9338 | 0.932 | [X:[], M:[1.0344, 0.7586], q:[0.4828, 0.3793], qb:[], phi:[0.3793]] | 3*t^2.28 + t^2.59 + t^3.1 + t^3.41 + t^3.72 + 8*t^4.55 + 4*t^4.86 + 2*t^5.17 + 3*t^5.38 + 3*t^5.69 + 3*t^6. - t^4.14/y - t^5.28/y - t^5.59/y - t^4.14*y - t^5.28*y - t^5.59*y | detail | |
45071 | $\phi_1^4q_1$ + $ M_1q_1^2$ + $ M_2\phi_1^2q_2$ | 1.7965 | 1.9215 | 0.9349 | [X:[], M:[1.0653, 0.8505], q:[0.4673, 0.3832], qb:[], phi:[0.3832]] | 2*t^2.3 + 2*t^2.55 + t^3.2 + 2*t^3.7 + 5*t^4.6 + 5*t^4.85 + 4*t^5.1 + 2*t^5.49 + t^5.75 + 3*t^6. - t^4.15/y - t^5.3/y - t^5.55/y - t^4.15*y - t^5.3*y - t^5.55*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 |
---|---|---|---|---|---|---|---|---|---|
44926 | SO5adj1nf2 | $\phi_1^4q_1$ | 1.7908 | 1.9123 | 0.9365 | [X:[], M:[], q:[0.445, 0.3887], qb:[], phi:[0.3887]] | 2*t^2.33 + t^2.5 + t^2.67 + t^3.5 + 2*t^3.67 + 5*t^4.66 + 3*t^4.83 + 4*t^5. + t^5.17 + t^5.34 + t^5.83 + 4*t^6. - t^4.17/y - t^5.33/y - t^5.5/y - t^4.17*y - t^5.33*y - t^5.5*y | detail |