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 |
---|---|---|---|---|---|---|---|---|---|
4384 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6579 | 0.8295 | 0.7932 | [X:[], M:[0.8696, 1.0311, 1.0682, 0.8074, 1.1304, 1.1926, 0.8696, 0.7081], q:[0.7578, 0.3726], qb:[0.4348, 0.497], phi:[0.4844]] | [X:[], M:[[14], [12], [-38], [-10], [-14], [10], [14], [16]], q:[[3], [-17]], qb:[[7], [31]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_8$, $ M_4$, $ M_1$, $ M_7$, $ M_2$, $ M_3$, $ M_6$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_8^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_8$, $ M_1M_8$, $ M_7M_8$, $ M_4^2$, $ \phi_1q_1q_2$, $ M_1M_4$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ M_1M_7$, $ M_7^2$, $ M_2M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_8$, $ M_2M_4$, $ M_1M_2$, $ M_2M_7$, $ M_6M_8$, $ M_1M_3$, $ M_3M_7$, $ M_8\phi_1q_2^2$, $ M_8q_1\tilde{q}_2$ | . | -2 | t^2.12 + t^2.42 + 2*t^2.61 + t^3.09 + t^3.2 + t^3.58 + t^3.69 + t^3.76 + 2*t^4.06 + 2*t^4.25 + t^4.44 + t^4.55 + 2*t^4.73 + t^4.84 + 2*t^5.03 + 4*t^5.22 + t^5.33 + t^5.52 + 3*t^5.7 + t^5.81 + t^5.89 - 2*t^6. + t^6.11 + 3*t^6.19 + 2*t^6.3 + 3*t^6.37 + t^6.41 + t^6.56 + 5*t^6.67 + 5*t^6.86 + t^6.89 + 2*t^7.04 - t^7.08 + 2*t^7.16 + t^7.27 + 5*t^7.34 + t^7.38 + t^7.45 + t^7.53 + 3*t^7.64 + t^7.75 + 7*t^7.83 + t^7.94 + 2*t^8.01 + t^8.12 + t^8.2 - t^8.24 + 6*t^8.31 - t^8.42 + 5*t^8.5 + 2*t^8.53 - 5*t^8.61 + 2*t^8.68 + t^8.72 + 5*t^8.8 + t^8.87 + t^8.91 + 6*t^8.98 - t^4.45/y - t^6.58/y - t^7.06/y + t^7.25/y + t^7.55/y - t^7.66/y + (2*t^7.73)/y + t^7.84/y + (2*t^8.03)/y + (2*t^8.22)/y + (2*t^8.33)/y + t^8.52/y + t^8.63/y + (2*t^8.7)/y + (3*t^8.81)/y + t^8.89/y - t^4.45*y - t^6.58*y - t^7.06*y + t^7.25*y + t^7.55*y - t^7.66*y + 2*t^7.73*y + t^7.84*y + 2*t^8.03*y + 2*t^8.22*y + 2*t^8.33*y + t^8.52*y + t^8.63*y + 2*t^8.7*y + 3*t^8.81*y + t^8.89*y | g1^16*t^2.12 + t^2.42/g1^10 + 2*g1^14*t^2.61 + g1^12*t^3.09 + t^3.2/g1^38 + g1^10*t^3.58 + t^3.69/g1^40 + g1^34*t^3.76 + 2*g1^8*t^4.06 + 2*g1^32*t^4.25 + g1^56*t^4.44 + g1^6*t^4.55 + 2*g1^30*t^4.73 + t^4.84/g1^20 + 2*g1^4*t^5.03 + 4*g1^28*t^5.22 + t^5.33/g1^22 + g1^2*t^5.52 + 3*g1^26*t^5.7 + t^5.81/g1^24 + g1^50*t^5.89 - 2*t^6. + t^6.11/g1^50 + 3*g1^24*t^6.19 + (2*t^6.3)/g1^26 + 3*g1^48*t^6.37 + t^6.41/g1^76 + g1^72*t^6.56 + 5*g1^22*t^6.67 + 5*g1^46*t^6.86 + t^6.89/g1^78 + 2*g1^70*t^7.04 - t^7.08/g1^54 + 2*g1^20*t^7.16 + t^7.27/g1^30 + 5*g1^44*t^7.34 + t^7.38/g1^80 + t^7.45/g1^6 + g1^68*t^7.53 + 3*g1^18*t^7.64 + t^7.75/g1^32 + 7*g1^42*t^7.83 + t^7.94/g1^8 + 2*g1^66*t^8.01 + g1^16*t^8.12 + g1^90*t^8.2 - t^8.24/g1^34 + 6*g1^40*t^8.31 - t^8.42/g1^10 + 5*g1^64*t^8.5 + (2*t^8.53)/g1^60 - 5*g1^14*t^8.61 + 2*g1^88*t^8.68 + t^8.72/g1^36 + 5*g1^38*t^8.8 + g1^112*t^8.87 + t^8.91/g1^12 + 6*g1^62*t^8.98 - t^4.45/(g1^6*y) - (g1^10*t^6.58)/y - (g1^8*t^7.06)/y + (g1^32*t^7.25)/y + (g1^6*t^7.55)/y - t^7.66/(g1^44*y) + (2*g1^30*t^7.73)/y + t^7.84/(g1^20*y) + (2*g1^4*t^8.03)/y + (2*g1^28*t^8.22)/y + (2*t^8.33)/(g1^22*y) + (g1^2*t^8.52)/y + t^8.63/(g1^48*y) + (2*g1^26*t^8.7)/y + (3*t^8.81)/(g1^24*y) + (g1^50*t^8.89)/y - (t^4.45*y)/g1^6 - g1^10*t^6.58*y - g1^8*t^7.06*y + g1^32*t^7.25*y + g1^6*t^7.55*y - (t^7.66*y)/g1^44 + 2*g1^30*t^7.73*y + (t^7.84*y)/g1^20 + 2*g1^4*t^8.03*y + 2*g1^28*t^8.22*y + (2*t^8.33*y)/g1^22 + g1^2*t^8.52*y + (t^8.63*y)/g1^48 + 2*g1^26*t^8.7*y + (3*t^8.81*y)/g1^24 + g1^50*t^8.89*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 |
---|---|---|---|---|---|---|---|---|
5867 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2\tilde{q}_1$ + $ M_1M_9$ | 0.6466 | 0.8094 | 0.7988 | [X:[], M:[0.8761, 1.0367, 1.0505, 0.8028, 1.1239, 1.1972, 0.8761, 0.7156, 1.1239], q:[0.7592, 0.3647], qb:[0.4381, 0.5114], phi:[0.4817]] | t^2.15 + t^2.41 + t^2.63 + t^3.11 + t^3.15 + t^3.37 + t^3.59 + t^3.63 + t^3.81 + 2*t^4.07 + 2*t^4.29 + t^4.51 + t^4.56 + t^4.78 + t^4.82 + t^5.04 + 2*t^5.26 + t^5.3 + 2*t^5.52 + 2*t^5.74 + t^5.78 + t^5.96 - t^6. - t^4.44/y - t^4.44*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 |
---|---|---|---|---|---|---|---|---|---|
2375 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ | 0.6376 | 0.7908 | 0.8063 | [X:[], M:[0.8717, 1.0329, 1.0624, 0.8059, 1.1283, 1.1941, 0.8717], q:[0.7582, 0.37], qb:[0.4359, 0.5017], phi:[0.4835]] | t^2.42 + 2*t^2.62 + t^3.1 + t^3.19 + t^3.58 + t^3.67 + t^3.78 + t^3.87 + 2*t^4.07 + t^4.26 + t^4.46 + t^4.84 + 2*t^5.03 + 3*t^5.23 + t^5.52 + 2*t^5.71 - 2*t^6. - t^4.45/y - t^4.45*y | detail |