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 |
---|---|---|---|---|---|---|---|---|---|
47188 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ | 0.6329 | 0.7805 | 0.8109 | [X:[1.5742], M:[0.4258, 1.1914, 0.7871, 0.8516, 0.8301], q:[0.7978, 0.7763], qb:[0.4366, 0.372], phi:[0.4043]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-14]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ \phi_1^2$, $ M_5$, $ M_4$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3M_5$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_4^2$, $ \phi_1q_2^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -1 | t^2.36 + t^2.43 + t^2.49 + t^2.55 + t^3.45 + t^3.57 + t^3.64 + t^3.7 + t^3.83 + t^4.66 + 2*t^4.72 + 3*t^4.85 + 2*t^4.92 + t^4.98 + t^5.05 + t^5.11 + 2*t^5.87 + t^5.94 - t^6. + 2*t^6.06 + 2*t^6.13 + t^6.19 + 2*t^6.26 + t^6.32 + t^6.39 + t^6.89 - t^7.02 + 2*t^7.08 + t^7.15 + t^7.21 + 4*t^7.28 + 3*t^7.34 + 3*t^7.41 + 3*t^7.47 + 2*t^7.54 + t^7.6 + 2*t^7.66 + t^8.1 - t^8.23 + 2*t^8.3 - t^8.36 + t^8.55 + t^8.62 + 3*t^8.68 + 2*t^8.75 + 2*t^8.81 + t^8.88 + t^8.94 - t^4.21/y - t^6.57/y - t^6.7/y - t^6.77/y + t^7.66/y + t^7.72/y + t^7.79/y + (2*t^7.85)/y + (2*t^7.92)/y + t^7.98/y + t^8.05/y + t^8.81/y + t^8.87/y + t^8.94/y - t^4.21*y - t^6.57*y - t^6.7*y - t^6.77*y + t^7.66*y + t^7.72*y + t^7.79*y + 2*t^7.85*y + 2*t^7.92*y + t^7.98*y + t^8.05*y + t^8.81*y + t^8.87*y + t^8.94*y | g1^6*t^2.36 + t^2.43/g1^4 + t^2.49/g1^14 + t^2.55/g1^24 + g1^24*t^3.45 + g1^4*t^3.57 + t^3.64/g1^6 + t^3.7/g1^16 + t^3.83/g1^36 + g1^22*t^4.66 + 2*g1^12*t^4.72 + (3*t^4.85)/g1^8 + (2*t^4.92)/g1^18 + t^4.98/g1^28 + t^5.05/g1^38 + t^5.11/g1^48 + 2*g1^20*t^5.87 + g1^10*t^5.94 - t^6. + (2*t^6.06)/g1^10 + (2*t^6.13)/g1^20 + t^6.19/g1^30 + (2*t^6.26)/g1^40 + t^6.32/g1^50 + t^6.39/g1^60 + g1^48*t^6.89 - g1^28*t^7.02 + 2*g1^18*t^7.08 + g1^8*t^7.15 + t^7.21/g1^2 + (4*t^7.28)/g1^12 + (3*t^7.34)/g1^22 + (3*t^7.41)/g1^32 + (3*t^7.47)/g1^42 + (2*t^7.54)/g1^52 + t^7.6/g1^62 + (2*t^7.66)/g1^72 + g1^46*t^8.1 - g1^26*t^8.23 + 2*g1^16*t^8.3 - g1^6*t^8.36 + t^8.55/g1^24 + t^8.62/g1^34 + (3*t^8.68)/g1^44 + (2*t^8.75)/g1^54 + (2*t^8.81)/g1^64 + t^8.88/g1^74 + t^8.94/g1^84 - t^4.21/(g1^2*y) - (g1^4*t^6.57)/y - t^6.7/(g1^16*y) - t^6.77/(g1^26*y) + (g1^22*t^7.66)/y + (g1^12*t^7.72)/y + (g1^2*t^7.79)/y + (2*t^7.85)/(g1^8*y) + (2*t^7.92)/(g1^18*y) + t^7.98/(g1^28*y) + t^8.05/(g1^38*y) + (g1^30*t^8.81)/y + (g1^20*t^8.87)/y + (g1^10*t^8.94)/y - (t^4.21*y)/g1^2 - g1^4*t^6.57*y - (t^6.7*y)/g1^16 - (t^6.77*y)/g1^26 + g1^22*t^7.66*y + g1^12*t^7.72*y + g1^2*t^7.79*y + (2*t^7.85*y)/g1^8 + (2*t^7.92*y)/g1^18 + (t^7.98*y)/g1^28 + (t^8.05*y)/g1^38 + g1^30*t^8.81*y + g1^20*t^8.87*y + g1^10*t^8.94*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 |
---|---|---|---|---|---|---|---|---|
55483 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ | 0.5933 | 0.7314 | 0.8111 | [X:[1.4737], M:[0.5263, 1.1579, 0.7368, 1.0526, 0.9474], q:[0.7895, 0.6842], qb:[0.5789, 0.2632], phi:[0.4211]] | t^2.21 + t^2.53 + 2*t^2.84 + t^3.16 + t^3.47 + t^3.79 + 2*t^4.11 + 2*t^4.42 + t^4.74 + 3*t^5.05 + 4*t^5.37 + 3*t^5.68 - t^4.26/y - t^4.26*y | detail | {a: 32553/54872, c: 20067/27436, X1: 28/19, M1: 10/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 18/19, q1: 15/19, q2: 13/19, qb1: 11/19, qb2: 5/19, phi1: 8/19} |
55520 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_6$ | 0.6214 | 0.7603 | 0.8173 | [X:[1.5539], M:[0.4461, 1.1846, 0.777, 0.8922, 0.8538, 1.1078], q:[0.7962, 0.7577], qb:[0.4653, 0.3501], phi:[0.4077]] | t^2.33 + t^2.45 + t^2.56 + 2*t^3.32 + t^3.55 + t^3.67 + t^3.78 + t^4.01 + t^4.55 + 2*t^4.66 + 3*t^4.89 + t^5.01 + t^5.65 + 3*t^5.77 + 2*t^5.88 - 2*t^6. - t^4.22/y - t^4.22*y | detail | |
55466 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6532 | 0.8187 | 0.7978 | [X:[1.5674], M:[0.4326, 1.1891, 0.7837, 0.8652, 0.838, 0.7022], q:[0.7973, 0.7701], qb:[0.4462, 0.3647], phi:[0.4054]] | t^2.11 + t^2.35 + t^2.43 + t^2.51 + t^2.6 + t^3.4 + t^3.57 + t^3.65 + t^3.73 + t^4.21 + t^4.46 + t^4.54 + 2*t^4.62 + 3*t^4.7 + 3*t^4.87 + 2*t^4.95 + t^5.03 + t^5.11 + t^5.19 + t^5.51 + t^5.67 + t^5.76 + 3*t^5.84 + t^5.92 - t^6. - t^4.22/y - t^4.22*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 |
---|---|---|---|---|---|---|---|---|---|
46680 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ | 0.6187 | 0.7555 | 0.819 | [X:[1.5641], M:[0.4359, 1.188, 0.782, 0.8719], q:[0.797, 0.7671], qb:[0.4509, 0.3611], phi:[0.406]] | t^2.35 + t^2.44 + t^2.62 + t^3.38 + t^3.47 + t^3.56 + t^3.65 + t^3.74 + t^3.92 + t^4.6 + 2*t^4.69 + 2*t^4.87 + t^4.96 + t^5.23 + 3*t^5.82 + t^5.91 - t^6. - t^4.22/y - t^4.22*y | detail |