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 |
---|---|---|---|---|---|---|---|---|---|
46142 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ | 0.6791 | 0.8777 | 0.7737 | [X:[], M:[0.8226, 0.6774, 0.8226], q:[0.75, 0.4274], qb:[0.4274, 0.3951], phi:[0.5]] | [X:[], M:[[1], [-1], [1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_1$, $ M_3$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_2M_3$, $ M_2q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_2q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | . | -3 | t^2.03 + 4*t^2.47 + t^2.56 + t^3. + t^3.44 + t^3.87 + t^3.97 + 4*t^4.06 + 4*t^4.5 + t^4.6 + 10*t^4.94 + 5*t^5.03 + t^5.13 + 5*t^5.47 + t^5.56 + 3*t^5.9 - 3*t^6. + 2*t^6.1 + 4*t^6.34 + 4*t^6.44 + 13*t^6.53 + 4*t^6.63 + t^6.87 + 7*t^6.97 + 4*t^7.06 + t^7.16 + t^7.31 + 17*t^7.4 + 10*t^7.5 + t^7.6 + t^7.69 + t^7.74 + t^7.84 + 13*t^7.94 + 8*t^8.13 + 6*t^8.37 - 14*t^8.47 + t^8.56 + 2*t^8.66 + 10*t^8.81 + 9*t^8.9 - t^4.5/y - t^6.53/y - (2*t^6.97)/y + (4*t^7.5)/y + t^7.6/y + (6*t^7.94)/y + (7*t^8.03)/y + (6*t^8.47)/y + (5*t^8.9)/y - t^4.5*y - t^6.53*y - 2*t^6.97*y + 4*t^7.5*y + t^7.6*y + 6*t^7.94*y + 7*t^8.03*y + 6*t^8.47*y + 5*t^8.9*y | t^2.03/g1 + 4*g1*t^2.47 + t^2.56/g1^2 + t^3. + g1^2*t^3.44 + g1^4*t^3.87 + g1*t^3.97 + (4*t^4.06)/g1^2 + 4*t^4.5 + t^4.6/g1^3 + 10*g1^2*t^4.94 + (5*t^5.03)/g1 + t^5.13/g1^4 + 5*g1*t^5.47 + t^5.56/g1^2 + 3*g1^3*t^5.9 - 3*t^6. + (2*t^6.1)/g1^3 + 4*g1^5*t^6.34 + 4*g1^2*t^6.44 + (13*t^6.53)/g1 + (4*t^6.63)/g1^4 + g1^4*t^6.87 + 7*g1*t^6.97 + (4*t^7.06)/g1^2 + t^7.16/g1^5 + g1^6*t^7.31 + 17*g1^3*t^7.4 + 10*t^7.5 + t^7.6/g1^3 + t^7.69/g1^6 + g1^8*t^7.74 + g1^5*t^7.84 + 13*g1^2*t^7.94 + (8*t^8.13)/g1^4 + 6*g1^4*t^8.37 - 14*g1*t^8.47 + t^8.56/g1^2 + (2*t^8.66)/g1^5 + 10*g1^6*t^8.81 + 9*g1^3*t^8.9 - t^4.5/y - t^6.53/(g1*y) - (2*g1*t^6.97)/y + (4*t^7.5)/y + t^7.6/(g1^3*y) + (6*g1^2*t^7.94)/y + (7*t^8.03)/(g1*y) + (6*g1*t^8.47)/y + (5*g1^3*t^8.9)/y - t^4.5*y - (t^6.53*y)/g1 - 2*g1*t^6.97*y + 4*t^7.5*y + (t^7.6*y)/g1^3 + 6*g1^2*t^7.94*y + (7*t^8.03*y)/g1 + 6*g1*t^8.47*y + 5*g1^3*t^8.9*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 |
---|---|---|---|---|---|---|---|---|
46462 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ | 0.6673 | 0.8592 | 0.7767 | [X:[], M:[0.8103, 0.6897, 0.8103, 1.1206], q:[0.75, 0.4397], qb:[0.4397, 0.3706], phi:[0.5]] | t^2.07 + 4*t^2.43 + t^3. + 2*t^3.36 + t^3.72 + t^3.93 + 4*t^4.14 + 4*t^4.5 + 10*t^4.86 + t^5.07 + 6*t^5.43 + 7*t^5.79 - 4*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 |
---|---|---|---|---|---|---|---|---|---|
45941 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ | 0.6643 | 0.8518 | 0.7799 | [X:[], M:[0.8278, 0.6722], q:[0.75, 0.4222], qb:[0.4222, 0.4056], phi:[0.5]] | t^2.02 + 3*t^2.48 + t^2.53 + t^3. + t^3.47 + t^3.52 + t^3.93 + t^3.98 + 4*t^4.03 + 3*t^4.5 + t^4.55 + 6*t^4.97 + 4*t^5.02 + t^5.07 + 4*t^5.48 + 2*t^5.53 + 2*t^5.95 - t^4.5/y - t^4.5*y | detail |