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 |
---|---|---|---|---|---|---|---|---|---|
2234 | 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_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_3M_7$ | 0.6973 | 0.8712 | 0.8004 | [X:[], M:[1.0426, 1.109, 0.9668, 0.7394, 0.7394, 0.8152, 1.0332], q:[0.7773, 0.4076], qb:[0.5498, 0.4834], phi:[0.4455]] | [X:[], M:[[32], [-12], [22], [-8], [-8], [2], [-22]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_7$, $ M_1$, $ M_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4M_6$, $ M_5M_6$, $ M_6^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_4M_7$, $ M_5M_7$, $ M_1M_4$, $ M_1M_5$, $ \phi_1^4$, $ M_2M_4$, $ M_2M_5$, $ M_6M_7$, $ M_2M_6$, $ M_7\phi_1^2$ | . | -2 | 2*t^2.22 + t^2.45 + t^2.67 + t^3.1 + t^3.13 + t^3.33 + t^3.98 + t^4.01 + t^4.21 + t^4.24 + 4*t^4.44 + t^4.64 + 2*t^4.66 + 3*t^4.89 + t^5.12 + 2*t^5.32 + 3*t^5.35 + 3*t^5.55 + t^5.77 - 2*t^6. + 2*t^6.2 + t^6.23 + t^6.26 + 3*t^6.43 + 3*t^6.45 + 7*t^6.65 + t^6.68 + 2*t^6.85 + 3*t^6.88 + 2*t^7.08 + 4*t^7.11 + 2*t^7.31 + 3*t^7.34 + t^7.36 + 3*t^7.54 + 5*t^7.56 + t^7.74 + 4*t^7.76 + t^7.96 + 2*t^7.99 + t^8.02 - 4*t^8.22 + 3*t^8.42 - t^8.45 + 3*t^8.47 + t^8.62 + 5*t^8.64 + 2*t^8.67 + t^8.7 + t^8.84 + 11*t^8.87 - t^4.34/y - (2*t^6.55)/y - t^6.78/y + t^7.21/y + t^7.44/y - t^7.46/y + (2*t^7.66)/y + (3*t^7.89)/y + (3*t^8.12)/y + (2*t^8.32)/y + (2*t^8.35)/y + (3*t^8.55)/y + t^8.57/y - t^8.77/y + t^8.8/y - t^4.34*y - 2*t^6.55*y - t^6.78*y + t^7.21*y + t^7.44*y - t^7.46*y + 2*t^7.66*y + 3*t^7.89*y + 3*t^8.12*y + 2*t^8.32*y + 2*t^8.35*y + 3*t^8.55*y + t^8.57*y - t^8.77*y + t^8.8*y | (2*t^2.22)/g1^8 + g1^2*t^2.45 + g1^12*t^2.67 + t^3.1/g1^22 + g1^32*t^3.13 + t^3.33/g1^12 + t^3.98/g1^36 + g1^18*t^4.01 + t^4.21/g1^26 + g1^28*t^4.24 + (4*t^4.44)/g1^16 + t^4.64/g1^60 + (2*t^4.66)/g1^6 + 3*g1^4*t^4.89 + g1^14*t^5.12 + (2*t^5.32)/g1^30 + 3*g1^24*t^5.35 + (3*t^5.55)/g1^20 + t^5.77/g1^10 - 2*t^6. + (2*t^6.2)/g1^44 + g1^10*t^6.23 + g1^64*t^6.26 + (3*t^6.43)/g1^34 + 3*g1^20*t^6.45 + (7*t^6.65)/g1^24 + g1^30*t^6.68 + (2*t^6.85)/g1^68 + (3*t^6.88)/g1^14 + (2*t^7.08)/g1^58 + (4*t^7.11)/g1^4 + (2*t^7.31)/g1^48 + 3*g1^6*t^7.34 + g1^60*t^7.36 + (3*t^7.54)/g1^38 + 5*g1^16*t^7.56 + t^7.74/g1^82 + (4*t^7.76)/g1^28 + t^7.96/g1^72 + (2*t^7.99)/g1^18 + g1^36*t^8.02 - (4*t^8.22)/g1^8 + (3*t^8.42)/g1^52 - g1^2*t^8.45 + 3*g1^56*t^8.47 + t^8.62/g1^96 + (5*t^8.64)/g1^42 + 2*g1^12*t^8.67 + g1^66*t^8.7 + t^8.84/g1^86 + (11*t^8.87)/g1^32 - (g1^6*t^4.34)/y - (2*t^6.55)/(g1^2*y) - (g1^8*t^6.78)/y + t^7.21/(g1^26*y) + t^7.44/(g1^16*y) - (g1^38*t^7.46)/y + (2*t^7.66)/(g1^6*y) + (3*g1^4*t^7.89)/y + (3*g1^14*t^8.12)/y + (2*t^8.32)/(g1^30*y) + (2*g1^24*t^8.35)/y + (3*t^8.55)/(g1^20*y) + (g1^34*t^8.57)/y - t^8.77/(g1^10*y) + (g1^44*t^8.8)/y - g1^6*t^4.34*y - (2*t^6.55*y)/g1^2 - g1^8*t^6.78*y + (t^7.21*y)/g1^26 + (t^7.44*y)/g1^16 - g1^38*t^7.46*y + (2*t^7.66*y)/g1^6 + 3*g1^4*t^7.89*y + 3*g1^14*t^8.12*y + (2*t^8.32*y)/g1^30 + 2*g1^24*t^8.35*y + (3*t^8.55*y)/g1^20 + g1^34*t^8.57*y - (t^8.77*y)/g1^10 + g1^44*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 |
---|---|---|---|---|---|---|---|---|
4232 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_3M_7$ + $ M_2M_8$ | 0.7074 | 0.8877 | 0.7969 | [X:[], M:[1.026, 1.1152, 0.9554, 0.7435, 0.7435, 0.8141, 1.0446, 0.8848], q:[0.7788, 0.4071], qb:[0.5669, 0.4777], phi:[0.4424]] | 2*t^2.23 + t^2.44 + 2*t^2.65 + t^3.08 + t^3.13 + t^3.98 + t^4.04 + t^4.19 + t^4.25 + 4*t^4.46 + 2*t^4.67 + t^4.73 + 5*t^4.88 + 2*t^5.1 + 5*t^5.31 + 2*t^5.36 + t^5.58 + t^5.73 + t^5.79 - 3*t^6. - t^4.33/y - t^4.33*y | detail | |
4233 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_3M_7$ + $ M_8q_1\tilde{q}_1$ | 0.7181 | 0.9125 | 0.787 | [X:[], M:[1.0411, 1.1096, 0.9657, 0.7397, 0.7397, 0.8151, 1.0343, 0.6712], q:[0.7774, 0.4075], qb:[0.5514, 0.4829], phi:[0.4452]] | t^2.01 + 2*t^2.22 + t^2.45 + t^2.67 + t^3.1 + t^3.12 + t^3.33 + t^4.01 + t^4.03 + t^4.21 + 3*t^4.23 + 4*t^4.44 + t^4.46 + t^4.64 + 2*t^4.66 + t^4.68 + 3*t^4.89 + 2*t^5.12 + t^5.14 + 2*t^5.32 + 4*t^5.34 + 3*t^5.55 + t^5.77 - 2*t^6. - t^4.34/y - t^4.34*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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
1179 | 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_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ | 0.7015 | 0.8773 | 0.7996 | [X:[], M:[1.0088, 1.1217, 0.9436, 0.7478, 0.7478, 0.8131], q:[0.7804, 0.4065], qb:[0.5847, 0.4718], phi:[0.4392]] | 2*t^2.24 + t^2.44 + t^2.63 + t^2.83 + t^3.03 + t^3.37 + t^3.95 + t^4.1 + t^4.15 + t^4.29 + 4*t^4.49 + 2*t^4.68 + t^4.83 + 3*t^4.88 + 3*t^5.07 + 4*t^5.27 + t^5.47 + 2*t^5.61 + t^5.66 + t^5.86 - 2*t^6. - t^4.32/y - t^4.32*y | detail |