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 |
---|---|---|---|---|---|---|---|---|---|
45869 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ | 0.7036 | 0.8583 | 0.8198 | [X:[], M:[1.0499, 0.8504], q:[0.4751, 0.4751], qb:[0.5748, 0.5748], phi:[0.4751]] | [X:[], M:[[0, 2, 2], [0, -6, -6]], q:[[-1, -2, -2], [1, 0, 0]], qb:[[0, 6, 0], [0, 0, 6]], phi:[[0, -1, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_1$, $ M_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_1M_2$, $ \phi_1^4$ | $\phi_1^2q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$ | -3 | t^2.55 + t^2.85 + 5*t^3.15 + 3*t^4.28 + 4*t^4.57 + 3*t^4.87 + t^5.1 + t^5.4 + 2*t^5.7 - 3*t^6. + 10*t^6.3 + 3*t^6.83 + 3*t^7.13 + 8*t^7.43 + t^7.65 + 8*t^7.72 + t^7.95 + 8*t^8.02 + 2*t^8.25 + 2*t^8.55 + 2*t^8.85 - t^4.43/y - t^6.98/y + t^7.87/y + t^8.4/y + (5*t^8.7)/y - t^4.43*y - t^6.98*y + t^7.87*y + t^8.4*y + 5*t^8.7*y | t^2.55/(g2^6*g3^6) + t^2.85/(g2^2*g3^2) + g1*g2^6*t^3.15 + (g2^4*t^3.15)/(g1*g3^2) + g2^2*g3^2*t^3.15 + (g3^4*t^3.15)/(g1*g2^2) + g1*g3^6*t^3.15 + t^4.28/(g1^2*g2^5*g3^5) + t^4.28/(g2^3*g3^3) + (g1^2*t^4.28)/(g2*g3) + (g2^3*t^4.57)/(g1*g3^3) + (g1*g2^5*t^4.57)/g3 + (g3^3*t^4.57)/(g1*g2^3) + (g1*g3^5*t^4.57)/g2 + (g2^11*t^4.87)/g3 + g2^5*g3^5*t^4.87 + (g3^11*t^4.87)/g2 + t^5.1/(g2^12*g3^12) + t^5.4/(g2^8*g3^8) + (2*t^5.7)/(g2^4*g3^4) - 3*t^6. - (g2^6*t^6.)/g3^6 + (g2^2*t^6.)/(g1*g3^4) - t^6./(g1^2*g2^2*g3^2) + (g1*g2^4*t^6.)/g3^2 + (g3^2*t^6.)/(g1*g2^4) - g1^2*g2^2*g3^2*t^6. + (g1*g3^4*t^6.)/g2^2 - (g3^6*t^6.)/g2^6 + g1^2*g2^12*t^6.3 + (g2^8*t^6.3)/(g1^2*g3^4) + (g2^10*t^6.3)/g3^2 + (g2^2*g3^2*t^6.3)/g1^2 + 2*g2^4*g3^4*t^6.3 + g1^2*g2^6*g3^6*t^6.3 + (g3^8*t^6.3)/(g1^2*g2^4) + (g3^10*t^6.3)/g2^2 + g1^2*g3^12*t^6.3 + t^6.83/(g1^2*g2^11*g3^11) + t^6.83/(g2^9*g3^9) + (g1^2*t^6.83)/(g2^7*g3^7) + t^7.13/(g1^2*g2^7*g3^7) + t^7.13/(g2^5*g3^5) + (g1^2*t^7.13)/(g2^3*g3^3) + t^7.43/(g1^3*g2*g3^7) + (2*g2*t^7.43)/(g1*g3^5) - t^7.43/(g1^2*g2^3*g3^3) + (2*g1*g2^3*t^7.43)/g3^3 + t^7.43/(g1^3*g2^7*g3) - (2*t^7.43)/(g2*g3) + (g1^3*g2^5*t^7.43)/g3 + (2*g3*t^7.43)/(g1*g2^5) - g1^2*g2*g3*t^7.43 + (2*g1*g3^3*t^7.43)/g2^3 + (g1^3*g3^5*t^7.43)/g2 + t^7.65/(g2^18*g3^18) + (g2^7*t^7.72)/(g1^2*g3^5) + (2*g2^9*t^7.72)/g3^3 - (g2^5*t^7.72)/(g1*g3) + (g1^2*g2^11*t^7.72)/g3 + (g2*g3*t^7.72)/g1^2 - g1*g2^7*g3*t^7.72 + 2*g2^3*g3^3*t^7.72 - (g3^5*t^7.72)/(g1*g2) + g1^2*g2^5*g3^5*t^7.72 + (g3^7*t^7.72)/(g1^2*g2^5) - g1*g2*g3^7*t^7.72 + (2*g3^9*t^7.72)/g2^3 + (g1^2*g3^11*t^7.72)/g2 + t^7.95/(g2^14*g3^14) + (g2^15*t^8.02)/(g1*g3^3) + (g1*g2^17*t^8.02)/g3 + (g2^9*g3^3*t^8.02)/g1 + g1*g2^11*g3^5*t^8.02 + (g2^3*g3^9*t^8.02)/g1 + g1*g2^5*g3^11*t^8.02 + (g3^15*t^8.02)/(g1*g2^3) + (g1*g3^17*t^8.02)/g2 + (2*t^8.25)/(g2^10*g3^10) + t^8.55/(g1^4*g2^10*g3^10) + (g1^4*t^8.55)/(g2^2*g3^2) - 2*g1^2*t^8.85 + (2*t^8.85)/(g1*g2^6) + t^8.85/(g1^3*g2^2*g3^8) - (g2^4*t^8.85)/g3^8 + (2*t^8.85)/(g1*g3^6) - (2*t^8.85)/(g1^2*g2^4*g3^4) + (2*g1*g2^2*t^8.85)/g3^4 + t^8.85/(g1^3*g2^8*g3^2) - (4*t^8.85)/(g2^2*g3^2) + (g1^3*g2^4*t^8.85)/g3^2 + (2*g1*g3^2*t^8.85)/g2^4 - (g3^4*t^8.85)/g2^8 + (g1^3*g3^4*t^8.85)/g2^2 - t^4.43/(g2*g3*y) - t^6.98/(g2^7*g3^7*y) + (g2^5*g3^5*t^7.87)/y + t^8.4/(g2^8*g3^8*y) + (g1*t^8.7)/(g2^6*y) + t^8.7/(g1*g2^2*g3^8*y) + (g1*t^8.7)/(g3^6*y) + t^8.7/(g2^4*g3^4*y) + t^8.7/(g1*g2^8*g3^2*y) - (t^4.43*y)/(g2*g3) - (t^6.98*y)/(g2^7*g3^7) + g2^5*g3^5*t^7.87*y + (t^8.4*y)/(g2^8*g3^8) + (g1*t^8.7*y)/g2^6 + (t^8.7*y)/(g1*g2^2*g3^8) + (g1*t^8.7*y)/g3^6 + (t^8.7*y)/(g2^4*g3^4) + (t^8.7*y)/(g1*g2^8*g3^2) |
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 |
---|---|---|---|---|---|---|---|---|
45907 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_3$ | 0.7087 | 0.8668 | 0.8176 | [X:[], M:[1.0587, 0.8239, 0.9413], q:[0.4707, 0.4707], qb:[0.588, 0.588], phi:[0.4707]] | t^2.47 + 2*t^2.82 + 4*t^3.18 + 3*t^4.24 + 4*t^4.59 + 4*t^4.94 + 2*t^5.3 + 3*t^5.65 - t^4.41/y - t^4.41*y | detail | |
45926 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ | 0.6994 | 0.8518 | 0.8211 | [X:[], M:[1.0407, 0.8778, 1.0407], q:[0.4796, 0.4796], qb:[0.5611, 0.5611], phi:[0.4796]] | t^2.63 + 6*t^3.12 + 3*t^4.32 + 4*t^4.56 + 3*t^4.81 + t^5.27 + 2*t^5.76 - 8*t^6. - t^4.44/y - t^4.44*y | detail | |
45901 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ | 0.5805 | 0.693 | 0.8377 | [X:[1.6], M:[1.2, 0.4], q:[0.4, 0.4], qb:[0.8, 0.8], phi:[0.4]] | t^2.4 + 8*t^3.6 + 2*t^4.8 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 1161/2000, c: 693/1000, X1: 8/5, M1: 6/5, M2: 2/5, q1: 2/5, q2: 2/5, qb1: 4/5, qb2: 4/5, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
55 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ | 0.7382 | 0.8885 | 0.8308 | [X:[], M:[0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]] | 3*t^2.43 + 4*t^3.57 + 10*t^4.78 + 6*t^4.86 - 4*t^6. - t^4.22/y - t^4.22*y | detail |