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 |
---|---|---|---|---|---|---|---|---|---|
46519 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ | 0.63 | 0.78 | 0.8077 | [X:[], M:[1.2, 0.8, 0.8, 0.8], q:[0.4, 0.4], qb:[0.8, 0.8], phi:[0.4]] | [X:[], M:[[0], [2], [0], [-2]], q:[[-1], [1]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 63/100, c: 39/50, M1: 6/5, M2: 4/5, M3: 4/5, M4: 4/5, q1: 2/5, q2: 2/5, qb1: 4/5, qb2: 4/5, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ M_4$, $ \phi_1^2$, $ M_4$, $ M_2$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2M_4$, $ M_3M_4$, $ M_4^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_3$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$ | $M_1M_2$, $ M_1M_4$, $ M_4\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ M_4\phi_1q_1q_2$, $ \phi_1^3q_1q_2$, $ M_2\phi_1q_2^2$, $ M_3\phi_1q_2^2$, $ M_4\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$ | 11 | 4*t^2.4 + 5*t^3.6 + 11*t^4.8 + 11*t^6. + 22*t^7.2 + 12*t^8.4 - t^4.2/y - (3*t^6.6)/y + (9*t^7.8)/y - t^4.2*y - 3*t^6.6*y + 9*t^7.8*y | 2*t^2.4 + t^2.4/g1^2 + g1^2*t^2.4 + 3*t^3.6 + t^3.6/g1^2 + g1^2*t^3.6 + 5*t^4.8 + t^4.8/g1^4 + (2*t^4.8)/g1^2 + 2*g1^2*t^4.8 + g1^4*t^4.8 + 3*t^6. + t^6./g1^4 + (3*t^6.)/g1^2 + 3*g1^2*t^6. + g1^4*t^6. + 6*t^7.2 + t^7.2/g1^6 + (3*t^7.2)/g1^4 + (4*t^7.2)/g1^2 + 4*g1^2*t^7.2 + 3*g1^4*t^7.2 + g1^6*t^7.2 + 2*t^8.4 + t^8.4/g1^6 + (3*t^8.4)/g1^4 + t^8.4/g1^2 + g1^2*t^8.4 + 3*g1^4*t^8.4 + g1^6*t^8.4 - t^4.2/y - t^6.6/y - t^6.6/(g1^2*y) - (g1^2*t^6.6)/y + (3*t^7.8)/y + (3*t^7.8)/(g1^2*y) + (3*g1^2*t^7.8)/y - t^4.2*y - t^6.6*y - (t^6.6*y)/g1^2 - g1^2*t^6.6*y + 3*t^7.8*y + (3*t^7.8*y)/g1^2 + 3*g1^2*t^7.8*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 |
---|---|---|---|---|---|---|---|---|
47131 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_5\phi_1q_2^2$ | 0.6473 | 0.8113 | 0.7978 | [X:[], M:[1.2, 0.8252, 0.8, 0.7748, 0.7748], q:[0.3874, 0.4126], qb:[0.7874, 0.8126], phi:[0.4]] | 2*t^2.32 + 2*t^2.4 + t^2.48 + t^3.52 + 3*t^3.6 + 3*t^4.65 + 4*t^4.72 + 6*t^4.8 + 2*t^4.88 + t^4.95 + 2*t^5.85 + 6*t^5.92 + 2*t^6. - t^4.2/y - t^4.2*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 |
---|---|---|---|---|---|---|---|---|---|
46225 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.6366 | 0.7855 | 0.8105 | [X:[], M:[1.1465, 0.7368, 0.8535, 0.7919], q:[0.396, 0.4575], qb:[0.8673, 0.7506], phi:[0.3822]] | t^2.21 + t^2.29 + t^2.38 + t^2.56 + t^3.44 + t^3.52 + t^3.71 + t^3.89 + t^3.97 + t^4.42 + t^4.5 + 2*t^4.59 + t^4.67 + t^4.75 + t^4.77 + 2*t^4.85 + t^4.94 + t^5.12 + t^5.65 + t^5.73 + t^5.82 + t^5.9 - t^6. - t^4.15/y - t^4.15*y | detail |