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 |
---|---|---|---|---|---|---|---|---|---|
47154 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ \phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_1X_1$ | 0.6986 | 0.8555 | 0.8166 | [X:[1.3672], M:[0.6328, 0.6867, 1.0269, 0.9731, 0.9731, 0.9045], q:[0.7925, 0.5747], qb:[0.5208, 0.4523], phi:[0.4149]] | [X:[[0, 1]], M:[[0, -1], [16, 1], [8, 1], [-8, -1], [-8, -1], [14, 0]], q:[[-1, 0], [1, 1]], qb:[[-15, -1], [7, 0]], phi:[[2, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ \phi_1^2$, $ M_6$, $ M_4$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ X_1$, $ M_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ \phi_1q_2^2$, $ M_2M_6$, $ M_2M_4$, $ M_2M_5$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_6\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_6^2$, $ M_4M_6$, $ M_5M_6$, $ M_4^2$, $ M_4M_5$, $ M_5^2$ | . | -3 | t^2.06 + t^2.49 + t^2.71 + 2*t^2.92 + t^3.73 + t^3.96 + t^4.1 + t^4.12 + t^4.16 + t^4.33 + t^4.37 + t^4.53 + t^4.55 + t^4.69 + t^4.77 + 3*t^4.98 + t^5.2 + 2*t^5.41 + t^5.43 + t^5.63 + 2*t^5.84 - 3*t^6. + t^6.02 + t^6.18 - t^6.21 + t^6.22 - t^6.37 + t^6.39 + 2*t^6.45 + t^6.59 + t^6.61 + 2*t^6.65 + t^6.67 + t^6.75 + t^6.82 + t^6.83 + t^6.86 + 2*t^6.88 + t^7.02 + 3*t^7.04 + 2*t^7.08 + t^7.18 + t^7.26 + 2*t^7.29 + 3*t^7.47 + t^7.49 - t^7.67 + 3*t^7.69 - t^7.88 + 4*t^7.9 + 2*t^7.92 - t^8.04 - 2*t^8.06 + t^8.08 + 2*t^8.12 + t^8.14 + t^8.24 - t^8.27 + t^8.28 + 3*t^8.33 + t^8.35 + t^8.45 - 3*t^8.49 + t^8.51 + t^8.53 + t^8.55 + t^8.65 + t^8.67 - t^8.7 - 2*t^8.71 + t^8.73 + t^8.74 + 2*t^8.76 + t^8.79 + t^8.81 - t^8.86 + t^8.88 + t^8.89 + t^8.9 - 6*t^8.92 + 3*t^8.94 - t^4.24/y - t^6.3/y - t^6.73/y - t^6.96/y - t^7.16/y + t^7.33/y + t^7.53/y + t^7.55/y + t^7.76/y + t^7.77/y + (2*t^7.98)/y + t^8.18/y + t^8.2/y - t^8.36/y + (2*t^8.41)/y + (2*t^8.63)/y + t^8.84/y - t^4.24*y - t^6.3*y - t^6.73*y - t^6.96*y - t^7.16*y + t^7.33*y + t^7.53*y + t^7.55*y + t^7.76*y + t^7.77*y + 2*t^7.98*y + t^8.18*y + t^8.2*y - t^8.36*y + 2*t^8.41*y + 2*t^8.63*y + t^8.84*y | g1^16*g2*t^2.06 + g1^4*t^2.49 + g1^14*t^2.71 + (2*t^2.92)/(g1^8*g2) + g1^6*t^3.73 + g1^16*t^3.96 + g2*t^4.1 + g1^32*g2^2*t^4.12 + t^4.16/(g1^6*g2) + g1^10*g2*t^4.33 + t^4.37/(g1^28*g2^2) + t^4.53/g1^12 + g1^20*g2*t^4.55 + g1^4*g2^2*t^4.69 + g1^30*g2*t^4.77 + 3*g1^8*t^4.98 + g1^18*t^5.2 + (2*t^5.41)/(g1^4*g2) + g1^28*t^5.43 + (g1^6*t^5.63)/g2 + (2*t^5.84)/(g1^16*g2^2) - 3*t^6. + g1^32*g2*t^6.02 + g1^48*g2^3*t^6.18 - t^6.21/(g1^22*g2) + g1^10*t^6.22 - (g2*t^6.37)/g1^6 + g1^26*g2^2*t^6.39 + 2*g1^20*t^6.45 + g1^4*g2*t^6.59 + g1^36*g2^2*t^6.61 + (2*t^6.65)/(g1^2*g2) + g1^30*t^6.67 + g1^20*g2^3*t^6.75 + g1^14*g2*t^6.82 + g1^46*g2^2*t^6.83 + t^6.86/(g1^24*g2^2) + (2*g1^8*t^6.88)/g2 + t^7.02/g1^8 + 3*g1^24*g2*t^7.04 + (2*t^7.08)/(g1^14*g2^2) + g1^8*g2^2*t^7.18 + g1^34*g2*t^7.26 + (2*t^7.29)/(g1^36*g2^3) + 3*g1^12*t^7.47 + g1^44*g2*t^7.49 - t^7.67/(g1^10*g2) + 3*g1^22*t^7.69 - t^7.88/(g1^32*g2^2) + (4*t^7.9)/g2 + 2*g1^32*t^7.92 - t^8.04/g1^16 - 2*g1^16*g2*t^8.06 + g1^48*g2^2*t^8.08 + (2*g1^10*t^8.12)/g2 + g1^42*t^8.14 + g1^64*g2^4*t^8.24 - t^8.27/g1^6 + g1^26*g2*t^8.28 + (3*t^8.33)/(g1^12*g2^2) + (g1^20*t^8.35)/g2 + g1^42*g2^3*t^8.45 - 3*g1^4*t^8.49 + g1^36*g2*t^8.51 + t^8.53/(g1^34*g2^3) + t^8.55/(g1^2*g2^2) + g1^20*g2^2*t^8.65 + g1^52*g2^3*t^8.67 - t^8.7/(g1^18*g2) - 2*g1^14*t^8.71 + g1^46*g2*t^8.73 + t^8.74/(g1^56*g2^4) + (2*t^8.76)/(g1^24*g2^3) + g1^4*g2^3*t^8.79 + g1^36*g2^4*t^8.81 - (g2*t^8.86)/g1^2 + g1^30*g2^2*t^8.88 + g1^62*g2^3*t^8.89 + t^8.9/(g1^40*g2^2) - (6*t^8.92)/(g1^8*g2) + 3*g1^24*t^8.94 - (g1^2*t^4.24)/y - (g1^18*g2*t^6.3)/y - (g1^6*t^6.73)/y - (g1^16*t^6.96)/y - t^7.16/(g1^6*g2*y) + (g1^10*g2*t^7.33)/y + t^7.53/(g1^12*y) + (g1^20*g2*t^7.55)/y + t^7.76/(g1^2*y) + (g1^30*g2*t^7.77)/y + (2*g1^8*t^7.98)/y + t^8.18/(g1^14*g2*y) + (g1^18*t^8.2)/y - (g1^34*g2^2*t^8.36)/y + (2*t^8.41)/(g1^4*g2*y) + (2*g1^6*t^8.63)/(g2*y) + t^8.84/(g1^16*g2^2*y) - g1^2*t^4.24*y - g1^18*g2*t^6.3*y - g1^6*t^6.73*y - g1^16*t^6.96*y - (t^7.16*y)/(g1^6*g2) + g1^10*g2*t^7.33*y + (t^7.53*y)/g1^12 + g1^20*g2*t^7.55*y + (t^7.76*y)/g1^2 + g1^30*g2*t^7.77*y + 2*g1^8*t^7.98*y + (t^8.18*y)/(g1^14*g2) + g1^18*t^8.2*y - g1^34*g2^2*t^8.36*y + (2*t^8.41*y)/(g1^4*g2) + (2*g1^6*t^8.63*y)/g2 + (t^8.84*y)/(g1^16*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 |
---|---|---|---|---|---|---|---|---|
54824 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ \phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_1X_1$ + $ M_4M_6$ | 0.6914 | 0.8438 | 0.8194 | [X:[1.2806], M:[0.7194, 0.6954, 0.988, 1.012, 1.012, 0.988], q:[0.7866, 0.494], qb:[0.518, 0.494], phi:[0.4269]] | t^2.09 + t^2.56 + t^2.96 + 2*t^3.04 + 2*t^3.84 + t^4.17 + 3*t^4.24 + 2*t^4.32 + t^4.39 + t^4.65 + t^5.05 + 3*t^5.12 + t^5.53 + 2*t^5.6 + t^5.93 - 3*t^6. - t^4.28/y - t^4.28*y | detail | |
55622 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ \phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_1X_1$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.7194 | 0.8963 | 0.8026 | [X:[1.3646], M:[0.6354, 0.6884, 1.0265, 0.9735, 0.9735, 0.9084, 0.6762], q:[0.7923, 0.5723], qb:[0.5193, 0.4542], phi:[0.4155]] | t^2.03 + t^2.07 + t^2.49 + t^2.73 + 2*t^2.92 + t^3.74 + t^4.06 + 2*t^4.09 + t^4.13 + t^4.17 + t^4.33 + t^4.36 + 2*t^4.52 + t^4.56 + t^4.68 + t^4.75 + t^4.79 + 2*t^4.95 + 3*t^4.99 + t^5.22 + 2*t^5.41 + t^5.45 + t^5.65 + t^5.77 + 2*t^5.84 - 3*t^6. - t^4.25/y - t^4.25*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 |
---|---|---|---|---|---|---|---|---|---|
46675 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ \phi_1q_1^2$ | 0.7133 | 0.8853 | 0.8057 | [X:[], M:[0.6716, 0.7152, 1.0218, 0.9782, 0.9782], q:[0.7883, 0.5401], qb:[0.4965, 0.4817], phi:[0.4234]] | t^2.01 + t^2.15 + t^2.54 + 2*t^2.93 + t^3.11 + t^3.81 + t^4.03 + 2*t^4.16 + t^4.2 + t^4.25 + t^4.29 + t^4.34 + t^4.38 + t^4.51 + t^4.55 + t^4.69 + 2*t^4.95 + 3*t^5.08 + t^5.12 + t^5.26 + 2*t^5.47 + t^5.65 + 2*t^5.87 - 3*t^6. - t^4.27/y - t^4.27*y | detail |