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 |
---|---|---|---|---|---|---|---|---|---|
1853 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ \phi_1^3\tilde{q}_2^2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.7308 | 0.9551 | 0.7651 | [X:[], M:[0.6855, 0.6901, 0.6901, 0.6948, 0.6901, 0.6855], q:[0.8321, 0.8228], qb:[0.4824, 0.4824], phi:[0.3451]] | [X:[], M:[[1, -5], [0, -4], [0, -4], [-1, -3], [0, -4], [1, -5]], q:[[-1, 2], [1, 0]], qb:[[0, 3], [0, 3]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_6$, $ M_2$, $ M_3$, $ M_5$, $ \phi_1^2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_6$, $ M_6^2$, $ M_1M_2$, $ M_1M_3$, $ M_1M_5$, $ M_2M_6$, $ M_3M_6$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_1M_4$, $ M_2M_5$, $ M_3M_5$, $ M_5^2$, $ M_4M_6$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_2M_4$, $ M_3M_4$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_4^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$ | $M_4q_2\tilde{q}_2$ | -4 | 2*t^2.06 + 4*t^2.07 + t^2.08 + t^2.89 + t^3.92 + 3*t^4.11 + 8*t^4.13 + 12*t^4.14 + 4*t^4.15 + t^4.17 + 2*t^4.95 + 5*t^4.96 + t^4.98 + t^5.79 + 2*t^5.97 + 2*t^5.99 - 4*t^6. - 2*t^6.01 + 4*t^6.17 + 12*t^6.18 + 23*t^6.2 + 28*t^6.21 + 12*t^6.23 + 4*t^6.24 + t^6.25 + t^6.81 + 3*t^7.01 + 8*t^7.02 + 12*t^7.04 + 3*t^7.05 + t^7.06 + t^7.83 - t^7.87 + 3*t^8.03 + 4*t^8.04 - 6*t^8.06 - 21*t^8.07 - 12*t^8.08 - 2*t^8.1 + 5*t^8.23 + 16*t^8.24 + 34*t^8.25 + 52*t^8.27 + 58*t^8.28 + 28*t^8.3 + 12*t^8.31 + 4*t^8.32 + t^8.34 + t^8.68 + 2*t^8.87 + t^8.88 - 8*t^8.89 - 4*t^8.91 - t^4.04/y - (2*t^6.09)/y - (4*t^6.11)/y - t^6.12/y + t^7.11/y + (8*t^7.13)/y + (8*t^7.14)/y + (4*t^7.15)/y + (3*t^7.95)/y + (8*t^7.96)/y + (3*t^7.98)/y - (3*t^8.15)/y - (8*t^8.16)/y - (12*t^8.18)/y - (4*t^8.19)/y - t^8.2/y + (2*t^8.97)/y + (4*t^8.99)/y - t^4.04*y - 2*t^6.09*y - 4*t^6.11*y - t^6.12*y + t^7.11*y + 8*t^7.13*y + 8*t^7.14*y + 4*t^7.15*y + 3*t^7.95*y + 8*t^7.96*y + 3*t^7.98*y - 3*t^8.15*y - 8*t^8.16*y - 12*t^8.18*y - 4*t^8.19*y - t^8.2*y + 2*t^8.97*y + 4*t^8.99*y | (2*g1*t^2.06)/g2^5 + (4*t^2.07)/g2^4 + t^2.08/(g1*g2^3) + g2^6*t^2.89 + g1*g2^3*t^3.92 + (3*g1^2*t^4.11)/g2^10 + (8*g1*t^4.13)/g2^9 + (12*t^4.14)/g2^8 + (4*t^4.15)/(g1*g2^7) + t^4.17/(g1^2*g2^6) + 2*g1*g2*t^4.95 + 5*g2^2*t^4.96 + (g2^3*t^4.98)/g1 + g2^12*t^5.79 + (2*g1^2*t^5.97)/g2^2 + (2*g1*t^5.99)/g2 - 4*t^6. - (2*g2*t^6.01)/g1 + (4*g1^3*t^6.17)/g2^15 + (12*g1^2*t^6.18)/g2^14 + (23*g1*t^6.2)/g2^13 + (28*t^6.21)/g2^12 + (12*t^6.23)/(g1*g2^11) + (4*t^6.24)/(g1^2*g2^10) + t^6.25/(g1^3*g2^9) + g1*g2^9*t^6.81 + (3*g1^2*t^7.01)/g2^4 + (8*g1*t^7.02)/g2^3 + (12*t^7.04)/g2^2 + (3*t^7.05)/(g1*g2) + t^7.06/g1^2 + g1^2*g2^6*t^7.83 - (g2^9*t^7.87)/g1 + (3*g1^3*t^8.03)/g2^7 + (4*g1^2*t^8.04)/g2^6 - (6*g1*t^8.06)/g2^5 - (21*t^8.07)/g2^4 - (12*t^8.08)/(g1*g2^3) - (2*t^8.1)/(g1^2*g2^2) + (5*g1^4*t^8.23)/g2^20 + (16*g1^3*t^8.24)/g2^19 + (34*g1^2*t^8.25)/g2^18 + (52*g1*t^8.27)/g2^17 + (58*t^8.28)/g2^16 + (28*t^8.3)/(g1*g2^15) + (12*t^8.31)/(g1^2*g2^14) + (4*t^8.32)/(g1^3*g2^13) + t^8.34/(g1^4*g2^12) + g2^18*t^8.68 + 2*g1^2*g2^4*t^8.87 + g1*g2^5*t^8.88 - 8*g2^6*t^8.89 - (4*g2^7*t^8.91)/g1 - t^4.04/(g2^2*y) - (2*g1*t^6.09)/(g2^7*y) - (4*t^6.11)/(g2^6*y) - t^6.12/(g1*g2^5*y) + (g1^2*t^7.11)/(g2^10*y) + (8*g1*t^7.13)/(g2^9*y) + (8*t^7.14)/(g2^8*y) + (4*t^7.15)/(g1*g2^7*y) + (3*g1*g2*t^7.95)/y + (8*g2^2*t^7.96)/y + (3*g2^3*t^7.98)/(g1*y) - (3*g1^2*t^8.15)/(g2^12*y) - (8*g1*t^8.16)/(g2^11*y) - (12*t^8.18)/(g2^10*y) - (4*t^8.19)/(g1*g2^9*y) - t^8.2/(g1^2*g2^8*y) + (2*g1^2*t^8.97)/(g2^2*y) + (4*g1*t^8.99)/(g2*y) - (t^4.04*y)/g2^2 - (2*g1*t^6.09*y)/g2^7 - (4*t^6.11*y)/g2^6 - (t^6.12*y)/(g1*g2^5) + (g1^2*t^7.11*y)/g2^10 + (8*g1*t^7.13*y)/g2^9 + (8*t^7.14*y)/g2^8 + (4*t^7.15*y)/(g1*g2^7) + 3*g1*g2*t^7.95*y + 8*g2^2*t^7.96*y + (3*g2^3*t^7.98*y)/g1 - (3*g1^2*t^8.15*y)/g2^12 - (8*g1*t^8.16*y)/g2^11 - (12*t^8.18*y)/g2^10 - (4*t^8.19*y)/(g1*g2^9) - (t^8.2*y)/(g1^2*g2^8) + (2*g1^2*t^8.97*y)/g2^2 + (4*g1*t^8.99*y)/g2 |
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 |
---|---|---|---|---|---|---|---|---|
2871 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ \phi_1^3\tilde{q}_2^2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_2\tilde{q}_2$ | 0.7515 | 0.9955 | 0.7549 | [X:[], M:[0.6878, 0.6878, 0.6878, 0.6878, 0.6878, 0.6878, 0.6878], q:[0.828, 0.828], qb:[0.4841, 0.4841], phi:[0.3439]] | 8*t^2.06 + t^2.9 + 36*t^4.13 + 9*t^4.97 + t^5.81 - 9*t^6. - t^4.03/y - t^4.03*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 |
---|---|---|---|---|---|---|---|---|---|
464 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ \phi_1^3\tilde{q}_2^2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.7101 | 0.9145 | 0.7765 | [X:[], M:[0.692, 0.692, 0.692, 0.692, 0.692], q:[0.827, 0.827], qb:[0.481, 0.481], phi:[0.346]] | 6*t^2.08 + t^2.89 + 2*t^3.92 + 21*t^4.15 + 7*t^4.96 + t^5.77 + 3*t^6. - t^4.04/y - t^4.04*y | detail |