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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46059 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ | 0.6306 | 0.7937 | 0.7946 | [X:[], M:[1.1085, 0.7829], q:[0.75, 0.4671], qb:[0.3585, 0.4244], phi:[0.5]] | [X:[], M:[[-1], [2]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]] | 1 | {a: 895529/1420032, c: 1127041/1420032, M1: 143/129, M2: 101/129, q1: 3/4, q2: 241/516, qb1: 185/516, qb2: 73/172, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2q_2\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_2\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1M_2$, $ M_2q_1\tilde{q}_1$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1q_2\tilde{q}_1^2$, $ M_2q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $q_1q_2\tilde{q}_1\tilde{q}_2$ | 0 | 2*t^2.35 + t^2.48 + t^3. + 2*t^3.33 + t^3.52 + t^3.65 + t^3.85 + t^3.98 + t^4.05 + t^4.17 + t^4.3 + 3*t^4.7 + 2*t^4.83 + t^4.95 + 2*t^5.35 + t^5.48 + 3*t^5.67 + t^5.8 + t^5.87 + t^6.2 + 2*t^6.33 + 2*t^6.4 + t^6.45 + 2*t^6.52 + 4*t^6.65 + t^6.78 + t^6.85 + t^6.98 + 5*t^7.05 + 3*t^7.17 + 3*t^7.3 + t^7.37 + t^7.43 + t^7.57 + t^7.63 + 3*t^7.7 + t^7.83 + t^7.9 + 2*t^7.95 + 4*t^8.02 + t^8.09 + t^8.15 + 2*t^8.22 + 2*t^8.28 - t^8.35 - t^8.48 + t^8.55 + t^8.6 + t^8.67 + 3*t^8.74 + t^8.8 + 2*t^8.87 + t^8.93 - t^4.5/y - t^6.85/y + t^7.17/y + t^7.7/y + t^7.83/y + t^8.15/y + (2*t^8.35)/y + t^8.48/y + (4*t^8.67)/y + (2*t^8.8)/y + (2*t^8.87)/y - t^4.5*y - t^6.85*y + t^7.17*y + t^7.7*y + t^7.83*y + t^8.15*y + 2*t^8.35*y + t^8.48*y + 4*t^8.67*y + 2*t^8.8*y + 2*t^8.87*y | 2*g1^2*t^2.35 + t^2.48/g1^3 + t^3. + (2*t^3.33)/g1 + g1^3*t^3.52 + t^3.65/g1^2 + g1^2*t^3.85 + t^3.98/g1^3 + g1^6*t^4.05 + g1*t^4.17 + t^4.3/g1^4 + 3*g1^4*t^4.7 + (2*t^4.83)/g1 + t^4.95/g1^6 + 2*g1^2*t^5.35 + t^5.48/g1^3 + 3*g1*t^5.67 + t^5.8/g1^4 + g1^5*t^5.87 + g1^4*t^6.2 + (2*t^6.33)/g1 + 2*g1^8*t^6.4 + t^6.45/g1^6 + 2*g1^3*t^6.52 + (4*t^6.65)/g1^2 + t^6.78/g1^7 + g1^2*t^6.85 + t^6.98/g1^3 + 5*g1^6*t^7.05 + 3*g1*t^7.17 + (3*t^7.3)/g1^4 + g1^5*t^7.37 + t^7.43/g1^9 + g1^9*t^7.57 + t^7.63/g1^5 + 3*g1^4*t^7.7 + t^7.83/g1 + g1^8*t^7.9 + (2*t^7.95)/g1^6 + 4*g1^3*t^8.02 + g1^12*t^8.09 + t^8.15/g1^2 + 2*g1^7*t^8.22 + (2*t^8.28)/g1^7 - g1^2*t^8.35 - t^8.48/g1^3 + g1^6*t^8.55 + t^8.6/g1^8 + g1*t^8.67 + 3*g1^10*t^8.74 + t^8.8/g1^4 + 2*g1^5*t^8.87 + t^8.93/g1^9 - t^4.5/y - (g1^2*t^6.85)/y + (g1*t^7.17)/y + (g1^4*t^7.7)/y + t^7.83/(g1*y) + t^8.15/(g1^2*y) + (2*g1^2*t^8.35)/y + t^8.48/(g1^3*y) + (4*g1*t^8.67)/y + (2*t^8.8)/(g1^4*y) + (2*g1^5*t^8.87)/y - t^4.5*y - g1^2*t^6.85*y + g1*t^7.17*y + g1^4*t^7.7*y + (t^7.83*y)/g1 + (t^8.15*y)/g1^2 + 2*g1^2*t^8.35*y + (t^8.48*y)/g1^3 + 4*g1*t^8.67*y + (2*t^8.8*y)/g1^4 + 2*g1^5*t^8.87*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 |
---|---|---|---|---|---|---|---|---|
46326 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_1M_3$ | 0.6406 | 0.8108 | 0.7901 | [X:[], M:[1.1115, 0.777, 0.8885], q:[0.75, 0.473], qb:[0.3615, 0.4156], phi:[0.5]] | 2*t^2.33 + t^2.5 + t^2.67 + t^3. + t^3.33 + t^3.5 + t^3.67 + t^3.83 + t^3.99 + t^4. + t^4.17 + t^4.34 + 3*t^4.66 + 2*t^4.83 + 2*t^5. + t^5.01 + t^5.17 + 3*t^5.33 + t^5.5 + 2*t^5.67 + t^5.83 + t^6. - t^4.5/y - t^4.5*y | detail | |
46249 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_2q_1\tilde{q}_2$ | 0.6296 | 0.7921 | 0.7949 | [X:[], M:[1.1, 0.8], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | 3*t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 6*t^4.8 + 3*t^5.4 + 4*t^5.7 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 5037/8000, c: 6337/8000, M1: 11/10, M2: 4/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
46232 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_3\phi_1q_2\tilde{q}_1$ | 0.6515 | 0.8349 | 0.7802 | [X:[], M:[1.1089, 0.7822, 0.6732], q:[0.75, 0.4678], qb:[0.3589, 0.4232], phi:[0.5]] | t^2.02 + 2*t^2.35 + t^2.48 + t^3. + 2*t^3.33 + t^3.52 + t^3.65 + t^3.85 + 2*t^4.04 + t^4.17 + t^4.31 + 2*t^4.37 + t^4.5 + 3*t^4.69 + 2*t^4.83 + t^4.96 + t^5.02 + 4*t^5.35 + t^5.48 + t^5.54 + 4*t^5.67 + t^5.81 + 2*t^5.87 - t^4.5/y - t^4.5*y | detail | |
46215 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_3q_1q_2$ | 0.6483 | 0.8256 | 0.7853 | [X:[], M:[1.1122, 0.7757, 0.7757], q:[0.75, 0.4743], qb:[0.3622, 0.4135], phi:[0.5]] | 3*t^2.33 + t^2.51 + t^3. + 2*t^3.34 + t^3.49 + t^3.83 + t^3.98 + t^4.01 + t^4.16 + t^4.35 + 6*t^4.65 + 3*t^4.84 + t^5.02 + 3*t^5.33 + t^5.51 + 5*t^5.66 + 2*t^5.82 + t^5.85 - 2*t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
45908 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ | 0.6359 | 0.8017 | 0.7932 | [X:[], M:[1.1522, 0.6956], q:[0.75, 0.4239], qb:[0.4022, 0.4239], phi:[0.5]] | t^2.09 + 2*t^2.48 + t^3. + 2*t^3.46 + 2*t^3.52 + 2*t^3.98 + 3*t^4.04 + t^4.17 + 2*t^4.57 + 3*t^4.96 + t^5.09 + 2*t^5.48 + 2*t^5.54 + 2*t^5.61 + 2*t^5.93 - t^6. - t^4.5/y - t^4.5*y | detail |