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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1843 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_1$ | 0.6926 | 0.9092 | 0.7617 | [X:[], M:[1.1557, 0.6887, 0.6887, 0.6887, 0.8113], q:[0.75, 0.4057], qb:[0.4387, 0.4057], phi:[0.5]] | [X:[], M:[[1], [-2], [-2], [-2], [2]], q:[[0], [1]], qb:[[-2], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_2$, $ M_3$, $ M_4$, $ M_5$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2M_4$, $ M_3M_4$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_5$, $ M_3M_5$, $ M_4M_5$, $ M_2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_5\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1M_2$, $ M_1M_3$, $ M_1M_4$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ M_4q_1q_2$, $ M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ M_5q_1q_2$, $ M_5q_1\tilde{q}_2$, $ q_1q_2^2\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $q_1\tilde{q}_1\tilde{q}_2^2$ | -2 | 3*t^2.07 + 2*t^2.43 + t^2.53 + t^3. + 3*t^3.47 + 2*t^4.03 + 7*t^4.13 + 6*t^4.5 + 3*t^4.6 + 3*t^4.87 + 2*t^4.97 + 4*t^5.07 + 2*t^5.43 + 10*t^5.53 + 4*t^5.9 - 2*t^6. + 4*t^6.1 + 13*t^6.2 + 3*t^6.47 + 14*t^6.57 + 7*t^6.67 + 11*t^6.93 + 4*t^7.03 + 9*t^7.13 + 4*t^7.3 - t^7.4 + 6*t^7.5 + 21*t^7.6 + 2*t^7.87 + 10*t^7.97 - 6*t^8.07 + 8*t^8.17 + 22*t^8.26 + 5*t^8.33 - 6*t^8.43 + 3*t^8.53 + 24*t^8.63 + 13*t^8.73 + 2*t^8.9 - t^4.5/y - (3*t^6.57)/y - t^6.93/y + t^7.03/y + (3*t^7.13)/y + (6*t^7.5)/y + (3*t^7.6)/y + t^7.87/y + t^7.97/y + (4*t^8.07)/y + (5*t^8.43)/y + (10*t^8.53)/y - (6*t^8.63)/y + (6*t^8.9)/y - t^4.5*y - 3*t^6.57*y - t^6.93*y + t^7.03*y + 3*t^7.13*y + 6*t^7.5*y + 3*t^7.6*y + t^7.87*y + t^7.97*y + 4*t^8.07*y + 5*t^8.43*y + 10*t^8.53*y - 6*t^8.63*y + 6*t^8.9*y | (3*t^2.07)/g1^2 + 2*g1^2*t^2.43 + t^2.53/g1 + t^3. + 3*g1*t^3.47 + (2*t^4.03)/g1 + (7*t^4.13)/g1^4 + 6*t^4.5 + (3*t^4.6)/g1^3 + 3*g1^4*t^4.87 + 2*g1*t^4.97 + (4*t^5.07)/g1^2 + 2*g1^2*t^5.43 + (10*t^5.53)/g1 + 4*g1^3*t^5.9 - 2*t^6. + (4*t^6.1)/g1^3 + (13*t^6.2)/g1^6 + 3*g1*t^6.47 + (14*t^6.57)/g1^2 + (7*t^6.67)/g1^5 + 11*g1^2*t^6.93 + (4*t^7.03)/g1 + (9*t^7.13)/g1^4 + 4*g1^6*t^7.3 - g1^3*t^7.4 + 6*t^7.5 + (21*t^7.6)/g1^3 + 2*g1^4*t^7.87 + 10*g1*t^7.97 - (6*t^8.07)/g1^2 + (8*t^8.17)/g1^5 + (22*t^8.26)/g1^8 + 5*g1^5*t^8.33 - 6*g1^2*t^8.43 + (3*t^8.53)/g1 + (24*t^8.63)/g1^4 + (13*t^8.73)/g1^7 + 2*g1^3*t^8.9 - t^4.5/y - (3*t^6.57)/(g1^2*y) - (g1^2*t^6.93)/y + t^7.03/(g1*y) + (3*t^7.13)/(g1^4*y) + (6*t^7.5)/y + (3*t^7.6)/(g1^3*y) + (g1^4*t^7.87)/y + (g1*t^7.97)/y + (4*t^8.07)/(g1^2*y) + (5*g1^2*t^8.43)/y + (10*t^8.53)/(g1*y) - (6*t^8.63)/(g1^4*y) + (6*g1^3*t^8.9)/y - t^4.5*y - (3*t^6.57*y)/g1^2 - g1^2*t^6.93*y + (t^7.03*y)/g1 + (3*t^7.13*y)/g1^4 + 6*t^7.5*y + (3*t^7.6*y)/g1^3 + g1^4*t^7.87*y + g1*t^7.97*y + (4*t^8.07*y)/g1^2 + 5*g1^2*t^8.43*y + (10*t^8.53*y)/g1 - (6*t^8.63*y)/g1^4 + 6*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
408 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6772 | 0.8843 | 0.7658 | [X:[], M:[1.1628, 0.6744, 0.6744, 0.6744], q:[0.75, 0.4128], qb:[0.4244, 0.4128], phi:[0.5]] | 3*t^2.02 + t^2.48 + t^2.51 + t^3. + 3*t^3.49 + t^3.52 + 2*t^4.01 + 7*t^4.05 + 3*t^4.5 + 3*t^4.53 + t^4.95 + t^4.99 + 4*t^5.02 + t^5.48 + 10*t^5.51 + 3*t^5.55 + t^5.97 - t^6. - t^4.5/y - t^4.5*y | detail |