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 |
---|---|---|---|---|---|---|---|---|---|
392 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6426 | 0.8185 | 0.785 | [X:[], M:[1.1576, 1.1576, 0.6848, 0.6848], q:[0.75, 0.4348], qb:[0.4076, 0.4076], phi:[0.5]] | [X:[], M:[[1], [1], [-2], [-2]], q:[[0], [-2]], qb:[[1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_2M_3$, $ M_1M_4$, $ M_2M_4$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_3q_1q_2$, $ M_4q_1q_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_4\phi_1\tilde{q}_2^2$ | -2 | 2*t^2.05 + t^2.45 + t^3. + 4*t^3.47 + t^3.55 + t^3.95 + 2*t^4.03 + 4*t^4.11 + 2*t^4.5 + t^4.89 + 2*t^5.05 + t^5.45 + 8*t^5.53 + 2*t^5.61 + 2*t^5.92 - 2*t^6. + 2*t^6.08 + 6*t^6.16 + t^6.39 + 2*t^6.47 + 3*t^6.55 + 9*t^6.95 + 2*t^7.03 + 4*t^7.11 + t^7.34 + 3*t^7.5 + 14*t^7.58 + 4*t^7.66 + t^7.89 + 2*t^7.97 - 5*t^8.05 + 4*t^8.14 + 9*t^8.22 + 2*t^8.36 - 2*t^8.45 + 2*t^8.53 + 4*t^8.61 + t^8.84 - t^4.5/y - (2*t^6.55)/y + (2*t^7.03)/y + t^7.11/y + (2*t^7.5)/y - (2*t^7.97)/y + (2*t^8.05)/y + (3*t^8.45)/y + (8*t^8.53)/y - t^8.61/y + (4*t^8.92)/y - t^4.5*y - 2*t^6.55*y + 2*t^7.03*y + t^7.11*y + 2*t^7.5*y - 2*t^7.97*y + 2*t^8.05*y + 3*t^8.45*y + 8*t^8.53*y - t^8.61*y + 4*t^8.92*y | (2*t^2.05)/g1^2 + g1^2*t^2.45 + t^3. + 4*g1*t^3.47 + t^3.55/g1^2 + g1^2*t^3.95 + (2*t^4.03)/g1 + (4*t^4.11)/g1^4 + 2*t^4.5 + g1^4*t^4.89 + (2*t^5.05)/g1^2 + g1^2*t^5.45 + (8*t^5.53)/g1 + (2*t^5.61)/g1^4 + 2*g1^3*t^5.92 - 2*t^6. + (2*t^6.08)/g1^3 + (6*t^6.16)/g1^6 + g1^4*t^6.39 + 2*g1*t^6.47 + (3*t^6.55)/g1^2 + 9*g1^2*t^6.95 + (2*t^7.03)/g1 + (4*t^7.11)/g1^4 + g1^6*t^7.34 + 3*t^7.5 + (14*t^7.58)/g1^3 + (4*t^7.66)/g1^6 + g1^4*t^7.89 + 2*g1*t^7.97 - (5*t^8.05)/g1^2 + (4*t^8.14)/g1^5 + (9*t^8.22)/g1^8 + 2*g1^5*t^8.36 - 2*g1^2*t^8.45 + (2*t^8.53)/g1 + (4*t^8.61)/g1^4 + g1^6*t^8.84 - t^4.5/y - (2*t^6.55)/(g1^2*y) + (2*t^7.03)/(g1*y) + t^7.11/(g1^4*y) + (2*t^7.5)/y - (2*g1*t^7.97)/y + (2*t^8.05)/(g1^2*y) + (3*g1^2*t^8.45)/y + (8*t^8.53)/(g1*y) - t^8.61/(g1^4*y) + (4*g1^3*t^8.92)/y - t^4.5*y - (2*t^6.55*y)/g1^2 + (2*t^7.03*y)/g1 + (t^7.11*y)/g1^4 + 2*t^7.5*y - 2*g1*t^7.97*y + (2*t^8.05*y)/g1^2 + 3*g1^2*t^8.45*y + (8*t^8.53*y)/g1 - (t^8.61*y)/g1^4 + 4*g1^3*t^8.92*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 |
---|---|---|---|---|---|---|---|---|
633 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6633 | 0.8593 | 0.772 | [X:[], M:[1.1588, 1.1588, 0.6825, 0.6825, 0.6825], q:[0.75, 0.4325], qb:[0.4088, 0.4088], phi:[0.5]] | 3*t^2.05 + t^2.45 + t^3. + 4*t^3.48 + t^3.55 + 2*t^4.02 + 7*t^4.09 + 3*t^4.5 + t^4.91 + 3*t^5.05 + t^5.45 + 12*t^5.52 + 3*t^5.59 + 2*t^5.93 - 4*t^6. - t^4.5/y - t^4.5*y | detail | |
1833 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_1q_2$ | 0.6586 | 0.8461 | 0.7784 | [X:[], M:[1.1497, 1.1497, 0.7005, 0.7005, 0.7995], q:[0.75, 0.4505], qb:[0.3997, 0.3997], phi:[0.5]] | 2*t^2.1 + 2*t^2.4 + t^3. + 4*t^3.45 + t^3.9 + 2*t^4.05 + 4*t^4.2 + 4*t^4.5 + 3*t^4.8 + 2*t^5.1 + 2*t^5.4 + 8*t^5.55 + 6*t^5.85 - 3*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 |
---|---|---|---|---|---|---|---|---|---|
247 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.6218 | 0.7781 | 0.7992 | [X:[], M:[1.1561, 1.1561, 0.6878], q:[0.75, 0.4378], qb:[0.4061, 0.4061], phi:[0.5]] | t^2.06 + t^2.44 + t^3. + 4*t^3.47 + t^3.56 + 2*t^3.94 + 2*t^4.03 + 2*t^4.13 + t^4.5 + t^4.87 + t^5.06 + t^5.44 + 4*t^5.53 + t^5.63 + 2*t^5.91 - 2*t^6. - t^4.5/y - t^4.5*y | detail |