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 |
---|---|---|---|---|---|---|---|---|---|
45 | SU2adj1nf2 | $\phi_1q_1^2$ + $ q_1q_2$ + $ \phi_1^2X_1$ | 0.4527 | 0.4986 | 0.9078 | [X:[1.5042], M:[], q:[0.8761, 1.1239], qb:[0.5042, 0.5042], phi:[0.2479]] | [X:[[0, 4]], M:[], q:[[0, 1], [0, -1]], qb:[[-1, 8], [1, 0]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ X_1$ | . | -4 | t^3.03 + 3*t^3.77 + t^4.51 - 4*t^6. + t^6.05 - 3*t^6.74 + 3*t^6.79 + 6*t^7.54 + t^8.23 + 3*t^8.97 - t^3.74/y - t^3.74*y | g2^8*t^3.03 + (g1^2*t^3.77)/g2^2 + g2^6*t^3.77 + (g2^14*t^3.77)/g1^2 + g2^4*t^4.51 - 2*t^6. - (g1^2*t^6.)/g2^8 - (g2^8*t^6.)/g1^2 + g2^16*t^6.05 - (g1^2*t^6.74)/g2^10 - t^6.74/g2^2 - (g2^6*t^6.74)/g1^2 + g1^2*g2^6*t^6.79 + g2^14*t^6.79 + (g2^22*t^6.79)/g1^2 + (g1^4*t^7.54)/g2^4 + g1^2*g2^4*t^7.54 + 2*g2^12*t^7.54 + (g2^20*t^7.54)/g1^2 + (g2^28*t^7.54)/g1^4 + t^8.23/g2^6 + t^8.97/g1^2 + (g1^2*t^8.97)/g2^16 + t^8.97/g2^8 - t^3.74/(g2^2*y) - (t^3.74*y)/g2^2 |
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 |
---|---|---|---|---|---|---|---|---|
70 | $\phi_1q_1^2$ + $ q_1q_2$ + $ \phi_1^2X_1$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | 0.4723 | 0.5327 | 0.8867 | [X:[1.5173], M:[0.7241], q:[0.8793, 1.1207], qb:[0.5173, 0.5173], phi:[0.2414]] | t^2.17 + t^3.1 + 2*t^3.83 + t^4.34 + t^4.55 + t^5.28 - 2*t^6. - t^3.72/y - t^5.9/y - t^3.72*y - t^5.9*y | detail | |
67 | $\phi_1q_1^2$ + $ q_1q_2$ + $ \phi_1^2X_1$ + $ M_1\tilde{q}_1\tilde{q}_2$ | 0.4583 | 0.5 | 0.9167 | [X:[1.5556], M:[0.8889], q:[0.8889, 1.1111], qb:[0.5556, 0.5556], phi:[0.2222]] | t^2.67 + 3*t^4. + t^4.67 + t^5.33 - 4*t^6. - t^3.67/y - t^3.67*y | detail | {a: 11/24, c: 1/2, X1: 14/9, M1: 8/9, q1: 8/9, q2: 10/9, qb1: 5/9, qb2: 5/9, phi1: 2/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
1 | SU2adj1nf1 | $\phi_1^2X_1$ | 0.4527 | 0.4986 | 0.9078 | [X:[1.5042], M:[], q:[0.5042], qb:[0.5042], phi:[0.2479]] | t^3.03 + 3*t^3.77 + t^4.51 - 4*t^6. - t^3.74/y - t^3.74*y | detail | |
55714 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ q_2\tilde{q}_1$ + $ q_1q_3$ + $ \phi_1^2X_1$ | 0.4527 | 0.4986 | 0.9078 | [X:[1.5042], M:[], q:[1.1239, 0.6282, 0.8761], qb:[1.3718, 0.5042, 0.5042], phi:[0.2479]] | t^3.03 + 3*t^3.77 + t^4.51 - 4*t^6. - t^3.74/y - t^3.74*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
37 | SU2adj1nf2 | $\phi_1q_1^2$ | 0.6732 | 0.8001 | 0.8414 | [X:[], M:[], q:[0.7969, 0.5261], qb:[0.5261, 0.5261], phi:[0.4062]] | t^2.44 + 3*t^3.16 + 3*t^3.97 + 6*t^4.38 + t^4.87 + 3*t^5.59 - 9*t^6. - t^4.22/y - t^4.22*y | detail |