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 |
---|---|---|---|---|---|---|---|---|---|
94 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_1q_1q_2$ + $ M_2\phi_1q_2^2$ | 0.6885 | 0.8369 | 0.8227 | [X:[], M:[0.7483, 0.7483], q:[0.8129, 0.4388], qb:[0.6259, 0.6259], phi:[0.3741]] | [X:[], M:[[-4, -4], [-4, -4]], q:[[1, 1], [3, 3]], qb:[[4, 0], [0, 4]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_2$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_1$, $ M_1q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_2$ | $M_1\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$ | -3 | 3*t^2.24 + 2*t^3.19 + t^3.76 + 4*t^4.32 + 6*t^4.49 + 3*t^4.88 + 4*t^5.44 - 3*t^6. + 3*t^6.39 + 4*t^6.56 + 10*t^6.73 + 2*t^6.95 + 4*t^7.12 + 6*t^7.51 + 4*t^7.68 + 4*t^8.07 - 9*t^8.24 + 7*t^8.63 + 4*t^8.81 + 15*t^8.98 - t^4.12/y - (3*t^6.37)/y + (3*t^7.49)/y + (3*t^7.88)/y + (6*t^8.44)/y - (6*t^8.61)/y - t^4.12*y - 3*t^6.37*y + 3*t^7.49*y + 3*t^7.88*y + 6*t^8.44*y - 6*t^8.61*y | (3*t^2.24)/(g1^4*g2^4) + g1^7*g2^3*t^3.19 + g1^3*g2^7*t^3.19 + g1^4*g2^4*t^3.76 + 2*g1^5*g2*t^4.32 + 2*g1*g2^5*t^4.32 + (6*t^4.49)/(g1^8*g2^8) + (g1^6*t^4.88)/g2^2 + g1^2*g2^2*t^4.88 + (g2^6*t^4.88)/g1^2 + (2*g1^3*t^5.44)/g2 + (2*g2^3*t^5.44)/g1 - t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 + g1^14*g2^6*t^6.39 + g1^10*g2^10*t^6.39 + g1^6*g2^14*t^6.39 + (2*g1*t^6.56)/g2^3 + (2*g2*t^6.56)/g1^3 + (10*t^6.73)/(g1^12*g2^12) + g1^11*g2^7*t^6.95 + g1^7*g2^11*t^6.95 + (2*g1^2*t^7.12)/g2^6 + (2*g2^2*t^7.12)/g1^6 + 2*g1^12*g2^4*t^7.51 + 2*g1^8*g2^8*t^7.51 + 2*g1^4*g2^12*t^7.51 + (2*t^7.68)/(g1*g2^5) + (2*t^7.68)/(g1^5*g2) + g1^13*g2*t^8.07 + g1^9*g2^5*t^8.07 + g1^5*g2^9*t^8.07 + g1*g2^13*t^8.07 - (2*t^8.24)/g1^8 - (2*t^8.24)/g2^8 - (5*t^8.24)/(g1^4*g2^4) + 3*g1^10*g2^2*t^8.63 + g1^6*g2^6*t^8.63 + 3*g1^2*g2^10*t^8.63 + (2*t^8.81)/(g1^3*g2^7) + (2*t^8.81)/(g1^7*g2^3) + (15*t^8.98)/(g1^16*g2^16) - t^4.12/(g1^2*g2^2*y) - (3*t^6.37)/(g1^6*g2^6*y) + (3*t^7.49)/(g1^8*g2^8*y) + (3*g1^2*g2^2*t^7.88)/y + (3*g1^3*t^8.44)/(g2*y) + (3*g2^3*t^8.44)/(g1*y) - (6*t^8.61)/(g1^10*g2^10*y) - (t^4.12*y)/(g1^2*g2^2) - (3*t^6.37*y)/(g1^6*g2^6) + (3*t^7.49*y)/(g1^8*g2^8) + 3*g1^2*g2^2*t^7.88*y + (3*g1^3*t^8.44*y)/g2 + (3*g2^3*t^8.44*y)/g1 - (6*t^8.61*y)/(g1^10*g2^10) |
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 |
---|---|---|---|---|---|---|---|---|
1710 | $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_1q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.7078 | 0.8723 | 0.8115 | [X:[], M:[0.7377, 0.7377, 0.7377], q:[0.8156, 0.4467], qb:[0.6311, 0.6311], phi:[0.3689]] | 4*t^2.21 + 2*t^3.23 + 4*t^4.34 + 10*t^4.43 + 3*t^4.89 + 6*t^5.45 - 6*t^6. - t^4.11/y - t^4.11*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 |
---|---|---|---|---|---|---|---|---|---|
61 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_1q_1q_2$ | 0.6696 | 0.8036 | 0.8333 | [X:[], M:[0.7619], q:[0.8095, 0.4286], qb:[0.619, 0.619], phi:[0.381]] | 2*t^2.29 + 2*t^3.14 + 2*t^3.71 + 4*t^4.29 + 3*t^4.57 + 3*t^4.86 + 2*t^5.43 - 2*t^6. - t^4.14/y - t^4.14*y | detail | {a: 75/112, c: 45/56, M1: 16/21, q1: 17/21, q2: 3/7, qb1: 13/21, qb2: 13/21, phi1: 8/21} |