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 |
---|---|---|---|---|---|---|---|---|---|
457 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6689 | 0.835 | 0.8011 | [X:[], M:[0.699, 1.301, 0.7054, 0.6926, 0.6926], q:[0.8221, 0.8284], qb:[0.479, 0.4726], phi:[0.3495]] | [X:[], M:[[-2, -2], [2, 2], [1, -5], [-5, 1], [-5, 1]], q:[[-1, 2], [2, -1]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_5$, $ M_1$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_1M_4$, $ M_1M_5$, $ M_1^2$, $ M_3M_4$, $ M_3M_5$, $ M_1M_3$, $ M_3^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_5$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | $M_1M_2$, $ M_3q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$ | -1 | 2*t^2.08 + t^2.1 + t^2.12 + t^2.85 + t^3.88 + 3*t^3.9 + 3*t^4.16 + 2*t^4.17 + 3*t^4.19 + t^4.21 + t^4.23 + 2*t^4.93 + 2*t^4.95 + t^4.97 + t^5.71 + 2*t^5.96 + 5*t^5.98 - t^6. + t^6.02 + 4*t^6.23 + 3*t^6.25 + 5*t^6.27 + 3*t^6.29 + 3*t^6.31 + t^6.33 + t^6.35 + t^6.74 + 3*t^6.76 + 3*t^7.01 + 2*t^7.03 + t^7.09 + t^7.77 + 3*t^7.79 + 3*t^7.81 - t^7.83 + 3*t^8.04 + 7*t^8.06 - 3*t^8.08 - 3*t^8.12 + t^8.14 + 5*t^8.31 + 4*t^8.33 + 7*t^8.35 + 5*t^8.37 + 6*t^8.39 + 3*t^8.41 + 3*t^8.43 + t^8.45 + t^8.46 + t^8.56 + 2*t^8.82 + 4*t^8.84 - 2*t^8.85 - t^8.87 - t^4.05/y - (2*t^6.13)/y - t^6.15/y - t^6.16/y + t^7.16/y + (2*t^7.17)/y + (2*t^7.19)/y + t^7.21/y + (3*t^7.93)/y + (2*t^7.95)/y + (3*t^7.97)/y - (3*t^8.2)/y - (2*t^8.22)/y - (3*t^8.24)/y - t^8.26/y - t^8.28/y + (2*t^8.96)/y + (7*t^8.98)/y - t^4.05*y - 2*t^6.13*y - t^6.15*y - t^6.16*y + t^7.16*y + 2*t^7.17*y + 2*t^7.19*y + t^7.21*y + 3*t^7.93*y + 2*t^7.95*y + 3*t^7.97*y - 3*t^8.2*y - 2*t^8.22*y - 3*t^8.24*y - t^8.26*y - t^8.28*y + 2*t^8.96*y + 7*t^8.98*y | (2*g2*t^2.08)/g1^5 + t^2.1/(g1^2*g2^2) + (g1*t^2.12)/g2^5 + g1^3*g2^3*t^2.85 + (g2^5*t^3.88)/g1 + 3*g1^2*g2^2*t^3.9 + (3*g2^2*t^4.16)/g1^10 + (2*t^4.17)/(g1^7*g2) + (3*t^4.19)/(g1^4*g2^4) + t^4.21/(g1*g2^7) + (g1^2*t^4.23)/g2^10 + (2*g2^4*t^4.93)/g1^2 + 2*g1*g2*t^4.95 + (g1^4*t^4.97)/g2^2 + g1^6*g2^6*t^5.71 + (2*g2^6*t^5.96)/g1^6 + (5*g2^3*t^5.98)/g1^3 - t^6. + (g1^3*t^6.02)/g2^3 + (4*g2^3*t^6.23)/g1^15 + (3*t^6.25)/g1^12 + (5*t^6.27)/(g1^9*g2^3) + (3*t^6.29)/(g1^6*g2^6) + (3*t^6.31)/(g1^3*g2^9) + t^6.33/g2^12 + (g1^3*t^6.35)/g2^15 + g1^2*g2^8*t^6.74 + 3*g1^5*g2^5*t^6.76 + (3*g2^5*t^7.01)/g1^7 + (2*g2^2*t^7.03)/g1^4 + (g1^5*t^7.09)/g2^7 + (g2^10*t^7.77)/g1^2 + 3*g1*g2^7*t^7.79 + 3*g1^4*g2^4*t^7.81 - g1^7*g2*t^7.83 + (3*g2^7*t^8.04)/g1^11 + (7*g2^4*t^8.06)/g1^8 - (3*g2*t^8.08)/g1^5 - (3*g1*t^8.12)/g2^5 + (g1^4*t^8.14)/g2^8 + (5*g2^4*t^8.31)/g1^20 + (4*g2*t^8.33)/g1^17 + (7*t^8.35)/(g1^14*g2^2) + (5*t^8.37)/(g1^11*g2^5) + (6*t^8.39)/(g1^8*g2^8) + (3*t^8.41)/(g1^5*g2^11) + (3*t^8.43)/(g1^2*g2^14) + (g1*t^8.45)/g2^17 + (g1^4*t^8.46)/g2^20 + g1^9*g2^9*t^8.56 + (2*g2^9*t^8.82)/g1^3 + 4*g2^6*t^8.84 - 2*g1^3*g2^3*t^8.85 - g1^6*t^8.87 - t^4.05/(g1*g2*y) - (2*t^6.13)/(g1^6*y) - t^6.15/(g1^3*g2^3*y) - t^6.16/(g2^6*y) + (g2^2*t^7.16)/(g1^10*y) + (2*t^7.17)/(g1^7*g2*y) + (2*t^7.19)/(g1^4*g2^4*y) + t^7.21/(g1*g2^7*y) + (3*g2^4*t^7.93)/(g1^2*y) + (2*g1*g2*t^7.95)/y + (3*g1^4*t^7.97)/(g2^2*y) - (3*g2*t^8.2)/(g1^11*y) - (2*t^8.22)/(g1^8*g2^2*y) - (3*t^8.24)/(g1^5*g2^5*y) - t^8.26/(g1^2*g2^8*y) - (g1*t^8.28)/(g2^11*y) + (2*g2^6*t^8.96)/(g1^6*y) + (7*g2^3*t^8.98)/(g1^3*y) - (t^4.05*y)/(g1*g2) - (2*t^6.13*y)/g1^6 - (t^6.15*y)/(g1^3*g2^3) - (t^6.16*y)/g2^6 + (g2^2*t^7.16*y)/g1^10 + (2*t^7.17*y)/(g1^7*g2) + (2*t^7.19*y)/(g1^4*g2^4) + (t^7.21*y)/(g1*g2^7) + (3*g2^4*t^7.93*y)/g1^2 + 2*g1*g2*t^7.95*y + (3*g1^4*t^7.97*y)/g2^2 - (3*g2*t^8.2*y)/g1^11 - (2*t^8.22*y)/(g1^8*g2^2) - (3*t^8.24*y)/(g1^5*g2^5) - (t^8.26*y)/(g1^2*g2^8) - (g1*t^8.28*y)/g2^11 + (2*g2^6*t^8.96*y)/g1^6 + (7*g2^3*t^8.98*y)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
752 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_6$ | 0.6484 | 0.7959 | 0.8147 | [X:[], M:[0.7035, 1.2965, 0.7108, 0.6962, 0.6962, 1.2965], q:[0.8205, 0.8278], qb:[0.476, 0.4687], phi:[0.3518]] | 2*t^2.09 + t^2.13 + t^2.83 + t^3.87 + 4*t^3.89 + 3*t^4.18 + 2*t^4.22 + t^4.26 + 2*t^4.92 + t^4.94 + t^4.97 + t^5.67 + 2*t^5.96 + 6*t^5.98 - 4*t^6. - t^4.06/y - t^4.06*y | detail | |
753 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_6$ | 0.6487 | 0.7983 | 0.8127 | [X:[], M:[0.7076, 1.2924, 0.7271, 0.6881, 0.6881, 1.2729], q:[0.8133, 0.8329], qb:[0.4791, 0.4596], phi:[0.3538]] | 2*t^2.06 + t^2.12 + t^2.82 + 2*t^3.82 + 3*t^3.88 + 3*t^4.13 + 2*t^4.19 + t^4.25 + 2*t^4.88 + 2*t^4.94 + t^5.63 + 4*t^5.88 + 6*t^5.94 - 2*t^6. - t^4.06/y - t^4.06*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 |
---|---|---|---|---|---|---|---|---|---|
283 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6689 | 0.8351 | 0.801 | [X:[], M:[0.6951, 1.3008, 0.7072, 0.6951, 0.6911], q:[0.8252, 0.8252], qb:[0.4797, 0.4716], phi:[0.3496]] | t^2.07 + 2*t^2.09 + t^2.12 + t^2.85 + 2*t^3.89 + 2*t^3.9 + t^4.15 + 2*t^4.16 + 3*t^4.17 + t^4.2 + 2*t^4.21 + t^4.24 + t^4.93 + 2*t^4.94 + t^4.95 + t^4.98 + t^5.71 + 2*t^5.96 + 5*t^5.98 + 2*t^5.99 - 3*t^6. - t^4.05/y - t^4.05*y | detail |