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 |
---|---|---|---|---|---|---|---|---|---|
48141 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_4\phi_1q_1^2$ | 0.6565 | 0.8232 | 0.7974 | [X:[], M:[1.1417, 0.7126, 0.8583, 0.8097, 0.7126], q:[0.4049, 0.4534], qb:[0.8825, 0.7369], phi:[0.3806]] | [X:[], M:[[12], [18], [-12], [-2], [18]], q:[[-1], [-11]], qb:[[-17], [13]], phi:[[4]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_5$, $ \phi_1^2$, $ M_4$, $ M_3$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_4$, $ M_4M_5$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_3$, $ M_3M_5$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ M_1M_5$, $ \phi_1\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_5\phi_1q_1^2$, $ M_1M_4$, $ \phi_1^3q_1^2$, $ M_5\phi_1q_1q_2$ | $\phi_1^3q_1q_2$ | 2*t^2.14 + t^2.28 + t^2.43 + t^2.57 + t^3.43 + t^3.57 + t^3.72 + t^4.01 + 3*t^4.28 + 2*t^4.42 + 3*t^4.57 + 3*t^4.71 + 3*t^4.86 + t^5. + t^5.15 + 2*t^5.56 + 2*t^5.71 + 2*t^5.85 + 2*t^6.15 + t^6.29 + 4*t^6.41 + t^6.44 + 3*t^6.56 + t^6.58 + 5*t^6.7 + 6*t^6.85 + 6*t^7. + 4*t^7.14 + 2*t^7.29 + t^7.43 + 3*t^7.7 + t^7.72 + 3*t^7.85 + 3*t^7.99 + t^8.02 - t^8.14 + 2*t^8.28 - 2*t^8.43 + 5*t^8.55 + 4*t^8.7 + 7*t^8.84 + 2*t^8.87 + 9*t^8.99 - t^4.14/y - (2*t^6.28)/y - t^6.43/y - t^6.57/y + t^7.28/y + (2*t^7.42)/y + (2*t^7.57)/y + (4*t^7.71)/y + (2*t^7.86)/y + (3*t^8.)/y - (3*t^8.42)/y + (3*t^8.85)/y - t^4.14*y - 2*t^6.28*y - t^6.43*y - t^6.57*y + t^7.28*y + 2*t^7.42*y + 2*t^7.57*y + 4*t^7.71*y + 2*t^7.86*y + 3*t^8.*y - 3*t^8.42*y + 3*t^8.85*y | 2*g1^18*t^2.14 + g1^8*t^2.28 + t^2.43/g1^2 + t^2.57/g1^12 + g1^12*t^3.43 + g1^2*t^3.57 + t^3.72/g1^8 + t^4.01/g1^28 + 3*g1^36*t^4.28 + 2*g1^26*t^4.42 + 3*g1^16*t^4.57 + 3*g1^6*t^4.71 + (3*t^4.86)/g1^4 + t^5./g1^14 + t^5.15/g1^24 + 2*g1^30*t^5.56 + 2*g1^20*t^5.71 + 2*g1^10*t^5.85 + (2*t^6.15)/g1^10 + t^6.29/g1^20 + 4*g1^54*t^6.41 + t^6.44/g1^30 + 3*g1^44*t^6.56 + t^6.58/g1^40 + 5*g1^34*t^6.7 + 6*g1^24*t^6.85 + 6*g1^14*t^7. + 4*g1^4*t^7.14 + (2*t^7.29)/g1^6 + t^7.43/g1^16 + 3*g1^48*t^7.7 + t^7.72/g1^36 + 3*g1^38*t^7.85 + 3*g1^28*t^7.99 + t^8.02/g1^56 - g1^18*t^8.14 + 2*g1^8*t^8.28 - (2*t^8.43)/g1^2 + 5*g1^72*t^8.55 + 4*g1^62*t^8.7 + 7*g1^52*t^8.84 + (2*t^8.87)/g1^32 + 9*g1^42*t^8.99 - (g1^4*t^4.14)/y - (2*g1^22*t^6.28)/y - (g1^12*t^6.43)/y - (g1^2*t^6.57)/y + (g1^36*t^7.28)/y + (2*g1^26*t^7.42)/y + (2*g1^16*t^7.57)/y + (4*g1^6*t^7.71)/y + (2*t^7.86)/(g1^4*y) + (3*t^8.)/(g1^14*y) - (3*g1^40*t^8.42)/y + (3*g1^10*t^8.85)/y - g1^4*t^4.14*y - 2*g1^22*t^6.28*y - g1^12*t^6.43*y - g1^2*t^6.57*y + g1^36*t^7.28*y + 2*g1^26*t^7.42*y + 2*g1^16*t^7.57*y + 4*g1^6*t^7.71*y + (2*t^7.86*y)/g1^4 + (3*t^8.*y)/g1^14 - 3*g1^40*t^8.42*y + 3*g1^10*t^8.85*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 |
---|---|---|---|---|---|---|---|---|
55899 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ | 0.6751 | 0.8573 | 0.7874 | [X:[], M:[1.1368, 0.7052, 0.8632, 0.8105, 0.7052, 0.7578], q:[0.4053, 0.458], qb:[0.8896, 0.7315], phi:[0.3789]] | 2*t^2.12 + 2*t^2.27 + t^2.43 + t^2.59 + t^3.41 + t^3.57 + t^4.04 + 3*t^4.23 + 4*t^4.39 + 5*t^4.55 + 4*t^4.71 + 4*t^4.86 + t^5.02 + t^5.18 + 2*t^5.53 + 3*t^5.68 + t^5.84 - t^6. - t^4.14/y - t^4.14*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 |
---|---|---|---|---|---|---|---|---|---|
46786 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.6572 | 0.8255 | 0.7962 | [X:[], M:[1.1417, 0.7369, 0.8583, 0.7854, 0.6882], q:[0.3927, 0.4656], qb:[0.8704, 0.749], phi:[0.3806]] | t^2.06 + t^2.21 + t^2.28 + t^2.36 + t^2.57 + t^3.43 + t^3.5 + t^3.72 + t^4.01 + t^4.13 + t^4.28 + t^4.35 + 2*t^4.42 + t^4.49 + 2*t^4.57 + 2*t^4.64 + t^4.71 + t^4.79 + 2*t^4.86 + t^4.93 + t^5.15 + t^5.49 + t^5.56 + t^5.64 + t^5.71 + 2*t^5.78 + t^5.85 - t^6. - t^4.14/y - t^4.14*y | detail |