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 |
---|---|---|---|---|---|---|---|---|---|
1983 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1q_2$ | 0.6856 | 0.8692 | 0.7888 | [X:[], M:[1.1153, 0.7259, 0.8847, 0.8847, 0.7259, 0.6729], q:[0.8053, 0.5218], qb:[0.3629, 0.7523], phi:[0.3894]] | [X:[], M:[[16], [14], [-16], [-16], [14], [24]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_4$, $ M_1$, $ q_1\tilde{q}_1$, $ M_6^2$, $ M_2M_6$, $ M_5M_6$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_6\phi_1^2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_4M_6$, $ \phi_1^4$, $ q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ M_3M_5$, $ M_4M_5$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_1M_6$, $ M_1M_2$, $ M_1M_5$, $ M_6q_1\tilde{q}_1$, $ M_1\phi_1^2$, $ M_2q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$ | . | -2 | t^2.02 + 2*t^2.18 + t^2.34 + 2*t^2.65 + t^3.35 + t^3.5 + t^4.04 + 2*t^4.2 + t^4.3 + 4*t^4.36 + 3*t^4.51 + 4*t^4.67 + 3*t^4.83 + 3*t^4.99 + 2*t^5.31 + t^5.36 + 2*t^5.52 + 4*t^5.68 - 2*t^6. + t^6.06 + t^6.16 + 2*t^6.21 + 4*t^6.37 + 7*t^6.53 + t^6.64 + 8*t^6.69 + 8*t^6.85 + 2*t^6.95 + 8*t^7.01 + 3*t^7.17 + 4*t^7.33 + t^7.38 + 2*t^7.49 + 2*t^7.54 + 2*t^7.64 + 5*t^7.7 + 6*t^7.86 + t^7.96 + t^8.02 + t^8.07 - 5*t^8.18 + 2*t^8.23 - 2*t^8.34 + 4*t^8.39 - 3*t^8.5 + 7*t^8.55 + t^8.6 - 6*t^8.65 + 13*t^8.71 + 13*t^8.87 + t^8.97 - t^4.17/y - t^6.19/y - (2*t^6.35)/y - t^6.5/y - t^6.82/y + (2*t^7.2)/y + (2*t^7.36)/y + (3*t^7.51)/y + (2*t^7.67)/y + (5*t^7.83)/y + (4*t^7.99)/y + t^8.15/y - t^8.21/y + t^8.31/y - t^8.36/y - t^8.52/y + t^8.68/y - t^8.84/y - t^4.17*y - t^6.19*y - 2*t^6.35*y - t^6.5*y - t^6.82*y + 2*t^7.2*y + 2*t^7.36*y + 3*t^7.51*y + 2*t^7.67*y + 5*t^7.83*y + 4*t^7.99*y + t^8.15*y - t^8.21*y + t^8.31*y - t^8.36*y - t^8.52*y + t^8.68*y - t^8.84*y | g1^24*t^2.02 + 2*g1^14*t^2.18 + g1^4*t^2.34 + (2*t^2.65)/g1^16 + g1^16*t^3.35 + g1^6*t^3.5 + g1^48*t^4.04 + 2*g1^38*t^4.2 + t^4.3/g1^44 + 4*g1^28*t^4.36 + 3*g1^18*t^4.51 + 4*g1^8*t^4.67 + (3*t^4.83)/g1^2 + (3*t^4.99)/g1^12 + (2*t^5.31)/g1^32 + g1^40*t^5.36 + 2*g1^30*t^5.52 + 4*g1^20*t^5.68 - 2*t^6. + g1^72*t^6.06 + t^6.16/g1^10 + 2*g1^62*t^6.21 + 4*g1^52*t^6.37 + 7*g1^42*t^6.53 + t^6.64/g1^40 + 8*g1^32*t^6.69 + 8*g1^22*t^6.85 + (2*t^6.95)/g1^60 + 8*g1^12*t^7.01 + 3*g1^2*t^7.17 + (4*t^7.33)/g1^8 + g1^64*t^7.38 + (2*t^7.49)/g1^18 + 2*g1^54*t^7.54 + (2*t^7.64)/g1^28 + 5*g1^44*t^7.7 + 6*g1^34*t^7.86 + t^7.96/g1^48 + g1^24*t^8.02 + g1^96*t^8.07 - 5*g1^14*t^8.18 + 2*g1^86*t^8.23 - 2*g1^4*t^8.34 + 4*g1^76*t^8.39 - (3*t^8.5)/g1^6 + 7*g1^66*t^8.55 + t^8.6/g1^88 - (6*t^8.65)/g1^16 + 13*g1^56*t^8.71 + 13*g1^46*t^8.87 + t^8.97/g1^36 - (g1^2*t^4.17)/y - (g1^26*t^6.19)/y - (2*g1^16*t^6.35)/y - (g1^6*t^6.5)/y - t^6.82/(g1^14*y) + (2*g1^38*t^7.2)/y + (2*g1^28*t^7.36)/y + (3*g1^18*t^7.51)/y + (2*g1^8*t^7.67)/y + (5*t^7.83)/(g1^2*y) + (4*t^7.99)/(g1^12*y) + t^8.15/(g1^22*y) - (g1^50*t^8.21)/y + t^8.31/(g1^32*y) - (g1^40*t^8.36)/y - (g1^30*t^8.52)/y + (g1^20*t^8.68)/y - (g1^10*t^8.84)/y - g1^2*t^4.17*y - g1^26*t^6.19*y - 2*g1^16*t^6.35*y - g1^6*t^6.5*y - (t^6.82*y)/g1^14 + 2*g1^38*t^7.2*y + 2*g1^28*t^7.36*y + 3*g1^18*t^7.51*y + 2*g1^8*t^7.67*y + (5*t^7.83*y)/g1^2 + (4*t^7.99*y)/g1^12 + (t^8.15*y)/g1^22 - g1^50*t^8.21*y + (t^8.31*y)/g1^32 - g1^40*t^8.36*y - g1^30*t^8.52*y + g1^20*t^8.68*y - g1^10*t^8.84*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 |
---|---|---|---|---|---|---|---|---|
3038 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_1M_7$ | 0.6965 | 0.8868 | 0.7854 | [X:[], M:[1.1281, 0.7371, 0.8719, 0.8719, 0.7371, 0.6921, 0.8719], q:[0.8045, 0.5034], qb:[0.3685, 0.7596], phi:[0.391]] | t^2.08 + 2*t^2.21 + t^2.35 + 3*t^2.62 + t^3.52 + t^4.15 + t^4.19 + 2*t^4.29 + 4*t^4.42 + 3*t^4.56 + 5*t^4.69 + 5*t^4.83 + 4*t^4.96 + 5*t^5.23 + 3*t^5.73 - 4*t^6. - t^4.17/y - t^4.17*y | detail | |
3039 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_1$ | 0.7001 | 0.8939 | 0.7832 | [X:[], M:[1.1194, 0.7295, 0.8806, 0.8806, 0.7295, 0.6792, 0.8302], q:[0.805, 0.5158], qb:[0.3648, 0.7547], phi:[0.3899]] | t^2.04 + 2*t^2.19 + t^2.34 + t^2.49 + 2*t^2.64 + t^3.36 + t^4.08 + 2*t^4.23 + t^4.26 + 4*t^4.38 + 4*t^4.53 + 6*t^4.68 + 4*t^4.83 + 4*t^4.98 + 2*t^5.13 + 2*t^5.28 + t^5.4 + t^5.55 + 2*t^5.7 - 2*t^6. - t^4.17/y - t^4.17*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 |
---|---|---|---|---|---|---|---|---|---|
726 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6648 | 0.8279 | 0.8029 | [X:[], M:[1.1163, 0.7268, 0.8837, 0.8837, 0.7268], q:[0.8052, 0.5203], qb:[0.3634, 0.7529], phi:[0.3895]] | 2*t^2.18 + t^2.34 + 2*t^2.65 + t^3.35 + t^3.51 + t^3.98 + t^4.29 + 3*t^4.36 + 3*t^4.52 + 2*t^4.67 + 3*t^4.83 + 3*t^4.99 + 2*t^5.3 + t^5.53 + 4*t^5.69 - 2*t^6. - t^4.17/y - t^4.17*y | detail |