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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [X:[], M:[[1, 0], [-2, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2q_2\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2q_1\tilde{q}_1$, $ M_2q_1q_2$, $ M_2q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1^2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $q_1q_2^2\tilde{q}_1$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | -1 | 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. + 3*t^6.13 + t^6.26 + 4*t^6.46 + 4*t^6.52 + 2*t^6.65 + 2*t^6.91 + 2*t^6.98 + 5*t^7.04 + t^7.17 + 4*t^7.43 + 2*t^7.5 + 4*t^7.57 + 2*t^7.63 + 2*t^7.7 + 2*t^7.96 + 4*t^8.02 + 4*t^8.09 + 3*t^8.22 + t^8.35 + 2*t^8.41 - 4*t^8.48 + 4*t^8.61 + 2*t^8.74 + 4*t^8.93 - t^4.5/y - t^6.59/y + t^7.04/y + (2*t^7.57)/y + t^8.09/y + t^8.41/y + (2*t^8.48)/y + (2*t^8.54)/y + (2*t^8.61)/y - t^8.67/y + (4*t^8.93)/y - t^4.5*y - t^6.59*y + t^7.04*y + 2*t^7.57*y + t^8.09*y + t^8.41*y + 2*t^8.48*y + 2*t^8.54*y + 2*t^8.61*y - t^8.67*y + 4*t^8.93*y | t^2.09/g1^2 + t^2.48/g2 + g1*g2*t^2.48 + t^3. + 2*g1*t^3.46 + t^3.52/(g1*g2) + g2*t^3.52 + t^3.98/g2 + g1*g2*t^3.98 + t^4.04/g1 + t^4.04/(g1^2*g2^2) + g2^2*t^4.04 + t^4.17/g1^4 + t^4.57/(g1^2*g2) + (g2*t^4.57)/g1 + g1*t^4.96 + t^4.96/g2^2 + g1^2*g2^2*t^4.96 + t^5.09/g1^2 + t^5.48/g2 + g1*g2*t^5.48 + (2*t^5.54)/g1 + t^5.61/(g1^3*g2) + (g2*t^5.61)/g1^2 + (g1*t^5.93)/g2 + g1^2*g2*t^5.93 - t^6. + t^6.13/g1^3 + t^6.13/(g1^4*g2^2) + (g2^2*t^6.13)/g1^2 + t^6.26/g1^6 + 2*g1*t^6.46 + t^6.46/g2^2 + g1^2*g2^2*t^6.46 + t^6.52/(g1^2*g2^3) + t^6.52/(g1*g2) + g2*t^6.52 + g1*g2^3*t^6.52 + t^6.65/(g1^4*g2) + (g2*t^6.65)/g1^3 + 2*g1^2*t^6.91 + t^6.98/g2 + g1*g2*t^6.98 + t^7.04/g1 + (2*t^7.04)/(g1^2*g2^2) + 2*g2^2*t^7.04 + t^7.17/g1^4 + t^7.43/g2^3 + (g1*t^7.43)/g2 + g1^2*g2*t^7.43 + g1^3*g2^3*t^7.43 + t^7.5/(g1*g2^2) + g1*g2^2*t^7.5 + t^7.57/(g1^3*g2^3) + t^7.57/(g1^2*g2) + (g2*t^7.57)/g1 + g2^3*t^7.57 + (2*t^7.63)/g1^3 + t^7.7/(g1^5*g2) + (g2*t^7.7)/g1^4 + t^7.96/g2^2 + g1^2*g2^2*t^7.96 + t^8.02/(g1^2*g2^3) + t^8.02/(g1*g2) + g2*t^8.02 + g1*g2^3*t^8.02 + t^8.09/(g1^4*g2^4) + t^8.09/(g1^3*g2^2) + (g2^2*t^8.09)/g1 + g2^4*t^8.09 + t^8.22/g1^5 + t^8.22/(g1^6*g2^2) + (g2^2*t^8.22)/g1^4 + t^8.35/g1^8 + (g1*t^8.41)/g2^2 + g1^3*g2^2*t^8.41 - (2*t^8.48)/g2 - 2*g1*g2*t^8.48 + t^8.61/(g1^4*g2^3) + t^8.61/(g1^3*g2) + (g2*t^8.61)/g1^2 + (g2^3*t^8.61)/g1 + t^8.74/(g1^6*g2) + (g2*t^8.74)/g1^5 + t^8.93/g2^3 + (g1*t^8.93)/g2 + g1^2*g2*t^8.93 + g1^3*g2^3*t^8.93 - t^4.5/y - t^6.59/(g1^2*y) + t^7.04/(g1*y) + t^7.57/(g1^2*g2*y) + (g2*t^7.57)/(g1*y) + t^8.09/(g1^2*y) + (g1^2*t^8.41)/y + t^8.48/(g2*y) + (g1*g2*t^8.48)/y + (2*t^8.54)/(g1*y) + t^8.61/(g1^3*g2*y) + (g2*t^8.61)/(g1^2*y) - t^8.67/(g1^4*y) + (2*g1*t^8.93)/(g2*y) + (2*g1^2*g2*t^8.93)/y - t^4.5*y - (t^6.59*y)/g1^2 + (t^7.04*y)/g1 + (t^7.57*y)/(g1^2*g2) + (g2*t^7.57*y)/g1 + (t^8.09*y)/g1^2 + g1^2*t^8.41*y + (t^8.48*y)/g2 + g1*g2*t^8.48*y + (2*t^8.54*y)/g1 + (t^8.61*y)/(g1^3*g2) + (g2*t^8.61*y)/g1^2 - (t^8.67*y)/g1^4 + (2*g1*t^8.93*y)/g2 + 2*g1^2*g2*t^8.93*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 |
---|---|---|---|---|---|---|---|---|
46059 | $\phi_1q_1^2$ + $ \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]] | 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^4.5/y - t^4.5*y | detail | {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} |
45975 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3q_1q_2$ | 0.6514 | 0.8288 | 0.7859 | [X:[], M:[1.1456, 0.7089, 0.8067], q:[0.75, 0.4433], qb:[0.3956, 0.4111], phi:[0.5]] | t^2.13 + 2*t^2.42 + t^2.52 + t^3. + 2*t^3.44 + t^3.48 + t^3.92 + t^3.97 + t^4.02 + t^4.06 + t^4.16 + t^4.25 + 2*t^4.55 + t^4.64 + 3*t^4.84 + 2*t^4.94 + t^5.03 + t^5.13 + 2*t^5.42 + t^5.52 + 2*t^5.56 + t^5.61 + 3*t^5.86 + t^5.9 + t^5.95 - 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 |
---|---|---|---|---|---|---|---|---|---|
45840 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ | 0.6155 | 0.7629 | 0.8067 | [X:[], M:[1.1409], q:[0.75, 0.4296], qb:[0.3909, 0.4296], phi:[0.5]] | 2*t^2.46 + t^3. + 2*t^3.42 + 2*t^3.54 + t^3.85 + 2*t^3.96 + 3*t^4.08 + 3*t^4.92 + 2*t^5.46 + 2*t^5.88 - t^6. - t^4.5/y - t^4.5*y | detail |