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 |
---|---|---|---|---|---|---|---|---|---|
3389 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_1$ | 0.6283 | 0.8228 | 0.7636 | [X:[], M:[0.9544, 1.1368, 1.0456, 0.7052, 0.8632, 0.7964], q:[0.7386, 0.307], qb:[0.465, 0.3982], phi:[0.5228]] | [X:[], M:[[-4], [12], [4], [18], [-12], [26]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_6$, $ M_5$, $ M_3$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_6^2$, $ M_5q_2\tilde{q}_1$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_4$, $ M_4\phi_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_4$, $ M_3M_6$, $ M_6\phi_1^2$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_3M_5$, $ M_5\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_6$, $ M_6\phi_1q_2^2$, $ M_4\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_5\phi_1q_2^2$ | -1 | 2*t^2.12 + t^2.32 + t^2.39 + t^2.59 + 2*t^3.14 + 2*t^3.41 + t^3.68 + t^3.96 + t^4.16 + 3*t^4.23 + t^4.36 + 2*t^4.43 + 2*t^4.5 + t^4.63 + 3*t^4.71 + t^4.78 + t^4.91 + t^4.98 + t^5.18 + 4*t^5.25 + 2*t^5.45 + 5*t^5.53 + 2*t^5.73 + 3*t^5.8 - t^6. + 3*t^6.07 - t^6.2 + 3*t^6.27 + 5*t^6.35 + t^6.47 + 7*t^6.55 + 3*t^6.62 + t^6.67 + 2*t^6.75 + 7*t^6.82 + 2*t^6.89 + 2*t^6.95 + 5*t^7.09 + t^7.17 + t^7.29 + 8*t^7.37 + 2*t^7.5 + 2*t^7.57 + 9*t^7.64 + 2*t^7.77 + 3*t^7.84 + 7*t^7.92 - t^8.12 + 6*t^8.19 - 2*t^8.32 + 3*t^8.39 + 8*t^8.46 - t^8.59 + 11*t^8.66 + t^8.72 + 5*t^8.74 + 2*t^8.86 + 12*t^8.94 + t^8.99 - t^4.57/y - t^6.68/y - t^6.96/y + t^7.23/y + (3*t^7.43)/y + (2*t^7.5)/y + (2*t^7.71)/y + t^7.91/y + t^7.98/y + t^8.18/y + (4*t^8.25)/y + (3*t^8.45)/y + (6*t^8.53)/y + (4*t^8.73)/y + (3*t^8.8)/y - t^4.57*y - t^6.68*y - t^6.96*y + t^7.23*y + 3*t^7.43*y + 2*t^7.5*y + 2*t^7.71*y + t^7.91*y + t^7.98*y + t^8.18*y + 4*t^8.25*y + 3*t^8.45*y + 6*t^8.53*y + 4*t^8.73*y + 3*t^8.8*y | 2*g1^18*t^2.12 + t^2.32/g1^20 + g1^26*t^2.39 + t^2.59/g1^12 + 2*g1^4*t^3.14 + 2*g1^12*t^3.41 + g1^20*t^3.68 + g1^28*t^3.96 + t^4.16/g1^10 + 3*g1^36*t^4.23 + t^4.36/g1^48 + (2*t^4.43)/g1^2 + 2*g1^44*t^4.5 + t^4.63/g1^40 + 3*g1^6*t^4.71 + g1^52*t^4.78 + t^4.91/g1^32 + g1^14*t^4.98 + t^5.18/g1^24 + 4*g1^22*t^5.25 + (2*t^5.45)/g1^16 + 5*g1^30*t^5.53 + (2*t^5.73)/g1^8 + 3*g1^38*t^5.8 - t^6. + 3*g1^46*t^6.07 - t^6.2/g1^38 + 3*g1^8*t^6.27 + 5*g1^54*t^6.35 + t^6.47/g1^30 + 7*g1^16*t^6.55 + 3*g1^62*t^6.62 + t^6.67/g1^68 + (2*t^6.75)/g1^22 + 7*g1^24*t^6.82 + 2*g1^70*t^6.89 + (2*t^6.95)/g1^60 + 5*g1^32*t^7.09 + g1^78*t^7.17 + t^7.29/g1^6 + 8*g1^40*t^7.37 + (2*t^7.5)/g1^44 + 2*g1^2*t^7.57 + 9*g1^48*t^7.64 + (2*t^7.77)/g1^36 + 3*g1^10*t^7.84 + 7*g1^56*t^7.92 - g1^18*t^8.12 + 6*g1^64*t^8.19 - (2*t^8.32)/g1^20 + 3*g1^26*t^8.39 + 8*g1^72*t^8.46 - t^8.59/g1^12 + 11*g1^34*t^8.66 + t^8.72/g1^96 + 5*g1^80*t^8.74 + (2*t^8.86)/g1^4 + 12*g1^42*t^8.94 + t^8.99/g1^88 - (g1^2*t^4.57)/y - (g1^20*t^6.68)/y - (g1^28*t^6.96)/y + (g1^36*t^7.23)/y + (3*t^7.43)/(g1^2*y) + (2*g1^44*t^7.5)/y + (2*g1^6*t^7.71)/y + t^7.91/(g1^32*y) + (g1^14*t^7.98)/y + t^8.18/(g1^24*y) + (4*g1^22*t^8.25)/y + (3*t^8.45)/(g1^16*y) + (6*g1^30*t^8.53)/y + (4*t^8.73)/(g1^8*y) + (3*g1^38*t^8.8)/y - g1^2*t^4.57*y - g1^20*t^6.68*y - g1^28*t^6.96*y + g1^36*t^7.23*y + (3*t^7.43*y)/g1^2 + 2*g1^44*t^7.5*y + 2*g1^6*t^7.71*y + (t^7.91*y)/g1^32 + g1^14*t^7.98*y + (t^8.18*y)/g1^24 + 4*g1^22*t^8.25*y + (3*t^8.45*y)/g1^16 + 6*g1^30*t^8.53*y + (4*t^8.73*y)/g1^8 + 3*g1^38*t^8.8*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 |
---|---|---|---|---|---|---|---|---|
3868 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_5M_7$ | 0.6164 | 0.8038 | 0.7669 | [X:[], M:[0.9564, 1.1309, 1.0436, 0.6964, 0.8691, 0.7836, 1.1309], q:[0.7391, 0.3045], qb:[0.4773, 0.3918], phi:[0.5218]] | 2*t^2.09 + 2*t^2.35 + 2*t^3.13 + 3*t^3.39 + t^3.65 + t^3.92 + t^4.17 + 3*t^4.18 + 3*t^4.43 + 2*t^4.44 + t^4.69 + 2*t^4.7 + 4*t^5.22 + 9*t^5.48 + 5*t^5.74 - 3*t^6. - t^4.57/y - t^4.57*y | detail | |
3869 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6491 | 0.8635 | 0.7517 | [X:[], M:[0.954, 1.1379, 1.046, 0.7069, 0.8621, 0.7988, 0.6782], q:[0.7385, 0.3075], qb:[0.4627, 0.3994], phi:[0.523]] | t^2.03 + 2*t^2.12 + t^2.31 + t^2.4 + t^2.59 + 2*t^3.14 + 2*t^3.41 + t^3.69 + t^4.07 + 3*t^4.16 + 3*t^4.24 + 2*t^4.35 + 3*t^4.43 + 2*t^4.52 + 2*t^4.62 + 3*t^4.71 + t^4.79 + t^4.9 + t^4.98 + 3*t^5.17 + 4*t^5.26 + 4*t^5.45 + 5*t^5.53 + 3*t^5.72 + 3*t^5.81 - t^6. - t^4.57/y - t^4.57*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 |
---|---|---|---|---|---|---|---|---|---|
2838 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ | 0.6123 | 0.7936 | 0.7715 | [X:[], M:[0.9508, 1.1475, 1.0492, 0.7212, 0.8525], q:[0.7377, 0.3115], qb:[0.4427, 0.4098], phi:[0.5246]] | 2*t^2.16 + t^2.26 + t^2.56 + 2*t^3.15 + 2*t^3.44 + t^3.54 + t^3.74 + t^4.03 + t^4.13 + t^4.23 + 3*t^4.33 + 2*t^4.43 + t^4.53 + 2*t^4.72 + t^4.82 + t^5.12 + 4*t^5.31 + 2*t^5.41 + 3*t^5.61 + 4*t^5.71 + t^5.8 + t^5.9 - t^6. - t^4.57/y - t^4.57*y | detail |