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 |
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46770 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_1^2$ | 0.6312 | 0.7836 | 0.8055 | [X:[], M:[0.8193, 0.7807, 1.2, 0.7613], q:[0.8, 0.3807], qb:[0.4193, 0.8], phi:[0.4]] | [X:[], M:[[1], [-1], [0], [-2]], q:[[0], [-1]], qb:[[1], [0]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_4$, $ M_2$, $ \phi_1^2$, $ M_1$, $ \phi_1q_2^2$, $ q_2\tilde{q}_2$, $ M_3$, $ \phi_1q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_2M_4$, $ M_2^2$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_2\phi_1^2$, $ \phi_1q_1q_2$, $ M_1M_2$, $ \phi_1^4$, $ q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ M_4\phi_1q_2^2$, $ M_2\phi_1q_2^2$, $ M_4q_2\tilde{q}_2$, $ M_3M_4$, $ \phi_1^3q_2^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_2M_3$, $ M_2\phi_1q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$ | $\phi_1^3q_2\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$ | 1 | t^2.28 + t^2.34 + t^2.4 + t^2.46 + t^3.48 + t^3.54 + 2*t^3.6 + t^3.66 + t^4.57 + t^4.63 + 2*t^4.68 + 2*t^4.74 + 3*t^4.8 + t^4.86 + t^4.92 + t^5.77 + 2*t^5.83 + 3*t^5.88 + 3*t^5.94 + t^6. + t^6.06 + t^6.85 + t^6.91 + 3*t^6.97 + 4*t^7.03 + 5*t^7.08 + 3*t^7.14 + 3*t^7.2 + t^7.26 + t^7.37 + t^8.05 + 2*t^8.11 + 4*t^8.17 + 4*t^8.23 + 3*t^8.28 + t^8.4 - 2*t^8.46 - t^8.52 - t^4.2/y - t^6.48/y - t^6.54/y - t^6.66/y + t^7.63/y + t^7.68/y + (3*t^7.74)/y + t^7.8/y + (2*t^7.86)/y + t^7.92/y + t^8.83/y + (3*t^8.88)/y + (4*t^8.94)/y - t^4.2*y - t^6.48*y - t^6.54*y - t^6.66*y + t^7.63*y + t^7.68*y + 3*t^7.74*y + t^7.8*y + 2*t^7.86*y + t^7.92*y + t^8.83*y + 3*t^8.88*y + 4*t^8.94*y | t^2.28/g1^2 + t^2.34/g1 + t^2.4 + g1*t^2.46 + t^3.48/g1^2 + t^3.54/g1 + 2*t^3.6 + g1*t^3.66 + t^4.57/g1^4 + t^4.63/g1^3 + (2*t^4.68)/g1^2 + (2*t^4.74)/g1 + 3*t^4.8 + g1*t^4.86 + g1^2*t^4.92 + t^5.77/g1^4 + (2*t^5.83)/g1^3 + (3*t^5.88)/g1^2 + (3*t^5.94)/g1 + t^6. + g1*t^6.06 + t^6.85/g1^6 + t^6.91/g1^5 + (3*t^6.97)/g1^4 + (4*t^7.03)/g1^3 + (5*t^7.08)/g1^2 + (3*t^7.14)/g1 + 3*t^7.2 + g1*t^7.26 + g1^3*t^7.37 + t^8.05/g1^6 + (2*t^8.11)/g1^5 + (4*t^8.17)/g1^4 + (4*t^8.23)/g1^3 + (3*t^8.28)/g1^2 + t^8.4 - 2*g1*t^8.46 - g1^2*t^8.52 - t^4.2/y - t^6.48/(g1^2*y) - t^6.54/(g1*y) - (g1*t^6.66)/y + t^7.63/(g1^3*y) + t^7.68/(g1^2*y) + (3*t^7.74)/(g1*y) + t^7.8/y + (2*g1*t^7.86)/y + (g1^2*t^7.92)/y + t^8.83/(g1^3*y) + (3*t^8.88)/(g1^2*y) + (4*t^8.94)/(g1*y) - t^4.2*y - (t^6.48*y)/g1^2 - (t^6.54*y)/g1 - g1*t^6.66*y + (t^7.63*y)/g1^3 + (t^7.68*y)/g1^2 + (3*t^7.74*y)/g1 + t^7.8*y + 2*g1*t^7.86*y + g1^2*t^7.92*y + (t^8.83*y)/g1^3 + (3*t^8.88*y)/g1^2 + (4*t^8.94*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
48118 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_1^2$ + $ M_4^2$ | 0.5899 | 0.7274 | 0.811 | [X:[], M:[0.7, 0.9, 1.2, 1.0], q:[0.8, 0.5], qb:[0.3, 0.8], phi:[0.4]] | t^2.1 + t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + t^3.9 + 2*t^4.2 + t^4.5 + 3*t^4.8 + 2*t^5.1 + 2*t^5.4 + 2*t^5.7 + 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 4719/8000, c: 5819/8000, M1: 7/10, M2: 9/10, M3: 6/5, M4: 1, q1: 4/5, q2: 1/2, qb1: 3/10, qb2: 4/5, phi1: 2/5} |
47010 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_1^2$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6477 | 0.8126 | 0.797 | [X:[], M:[0.8193, 0.7807, 1.2, 0.7613, 0.8], q:[0.8, 0.3807], qb:[0.4193, 0.8], phi:[0.4]] | t^2.28 + t^2.34 + 2*t^2.4 + t^2.46 + t^3.48 + t^3.54 + t^3.6 + t^3.66 + t^4.57 + t^4.63 + 3*t^4.68 + 3*t^4.74 + 5*t^4.8 + 2*t^4.86 + t^4.92 + t^5.77 + 2*t^5.83 + 3*t^5.88 + 3*t^5.94 + 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 |
---|---|---|---|---|---|---|---|---|---|
46136 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6704 | 0.8232 | 0.8144 | [X:[], M:[0.9809, 0.9756, 1.1208, 0.6759], q:[0.5821, 0.437], qb:[0.4423, 0.7802], phi:[0.4396]] | t^2.03 + t^2.64 + t^2.93 + t^2.94 + t^3.36 + t^3.65 + t^3.67 + t^3.94 + t^3.96 + t^4.06 + t^4.09 + t^4.38 + t^4.39 + t^4.67 + t^4.81 + t^4.95 + t^4.97 + t^5.28 + t^5.39 + t^5.68 + t^5.69 + t^5.85 + t^5.87 + t^5.89 + t^5.97 - 2*t^6. - t^4.32/y - t^4.32*y | detail |