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 |
---|---|---|---|---|---|---|---|---|---|
1162 | 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_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6708 | 0.8396 | 0.799 | [X:[], M:[1.1552, 1.0891, 0.944, 0.8448, 0.8448, 0.6997], q:[0.7723, 0.3499], qb:[0.495, 0.5611], phi:[0.4555]] | [X:[], M:[[8], [-4], [10], [-8], [-8], [6]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_4$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_2$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_5M_6$, $ \phi_1\tilde{q}_2^2$, $ M_6\phi_1^2$, $ M_3M_6$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_3M_4$, $ M_3M_5$, $ M_2M_6$, $ \phi_1^4$, $ M_6q_1q_2$, $ M_3^2$, $ M_2M_4$, $ M_2M_5$, $ M_4q_1q_2$, $ M_5q_1q_2$, $ M_6q_1\tilde{q}_1$ | . | -2 | t^2.1 + 2*t^2.53 + t^2.73 + t^2.83 + t^3.27 + t^3.37 + t^3.8 + t^4. + t^4.1 + t^4.2 + t^4.34 + t^4.53 + 2*t^4.63 + t^4.73 + t^4.83 + t^4.93 + 3*t^5.07 + 2*t^5.27 + 2*t^5.37 + 2*t^5.47 + t^5.66 + t^5.8 + 3*t^5.9 - 2*t^6. + 2*t^6.1 + t^6.2 + t^6.3 + 2*t^6.34 + 2*t^6.53 + 2*t^6.63 + t^6.73 + 2*t^6.83 + 2*t^6.87 + t^6.93 + t^7.03 + 3*t^7.07 + 3*t^7.17 + t^7.27 + 2*t^7.37 + 3*t^7.47 + 2*t^7.56 + 5*t^7.6 + t^7.76 + 2*t^7.8 + 2*t^7.9 + 3*t^8. - 2*t^8.1 + t^8.14 + 4*t^8.2 + t^8.3 + 2*t^8.34 + t^8.4 + 4*t^8.44 + t^8.5 - 4*t^8.53 + 2*t^8.63 + t^8.67 + 4*t^8.87 + t^8.93 - t^4.37/y - t^6.47/y - t^6.9/y - t^7.2/y + t^7.53/y + (2*t^7.63)/y + (2*t^7.83)/y + t^7.93/y + t^8.07/y + (3*t^8.27)/y + (3*t^8.37)/y + t^8.47/y + (2*t^8.8)/y + (3*t^8.9)/y - t^4.37*y - t^6.47*y - t^6.9*y - t^7.2*y + t^7.53*y + 2*t^7.63*y + 2*t^7.83*y + t^7.93*y + t^8.07*y + 3*t^8.27*y + 3*t^8.37*y + t^8.47*y + 2*t^8.8*y + 3*t^8.9*y | g1^6*t^2.1 + (2*t^2.53)/g1^8 + g1^4*t^2.73 + g1^10*t^2.83 + t^3.27/g1^4 + g1^2*t^3.37 + t^3.8/g1^12 + t^4. + g1^6*t^4.1 + g1^12*t^4.2 + t^4.34/g1^20 + t^4.53/g1^8 + (2*t^4.63)/g1^2 + g1^4*t^4.73 + g1^10*t^4.83 + g1^16*t^4.93 + (3*t^5.07)/g1^16 + (2*t^5.27)/g1^4 + 2*g1^2*t^5.37 + 2*g1^8*t^5.47 + g1^20*t^5.66 + t^5.8/g1^12 + (3*t^5.9)/g1^6 - 2*t^6. + 2*g1^6*t^6.1 + g1^12*t^6.2 + g1^18*t^6.3 + (2*t^6.34)/g1^20 + (2*t^6.53)/g1^8 + (2*t^6.63)/g1^2 + g1^4*t^6.73 + 2*g1^10*t^6.83 + (2*t^6.87)/g1^28 + g1^16*t^6.93 + g1^22*t^7.03 + (3*t^7.07)/g1^16 + (3*t^7.17)/g1^10 + t^7.27/g1^4 + 2*g1^2*t^7.37 + 3*g1^8*t^7.47 + 2*g1^14*t^7.56 + (5*t^7.6)/g1^24 + g1^26*t^7.76 + (2*t^7.8)/g1^12 + (2*t^7.9)/g1^6 + 3*t^8. - 2*g1^6*t^8.1 + t^8.14/g1^32 + 4*g1^12*t^8.2 + g1^18*t^8.3 + (2*t^8.34)/g1^20 + g1^24*t^8.4 + (4*t^8.44)/g1^14 + g1^30*t^8.5 - (4*t^8.53)/g1^8 + (2*t^8.63)/g1^2 + t^8.67/g1^40 + (4*t^8.87)/g1^28 + g1^16*t^8.93 - (g1^2*t^4.37)/y - (g1^8*t^6.47)/y - t^6.9/(g1^6*y) - (g1^12*t^7.2)/y + t^7.53/(g1^8*y) + (2*t^7.63)/(g1^2*y) + (2*g1^10*t^7.83)/y + (g1^16*t^7.93)/y + t^8.07/(g1^16*y) + (3*t^8.27)/(g1^4*y) + (3*g1^2*t^8.37)/y + (g1^8*t^8.47)/y + (2*t^8.8)/(g1^12*y) + (3*t^8.9)/(g1^6*y) - g1^2*t^4.37*y - g1^8*t^6.47*y - (t^6.9*y)/g1^6 - g1^12*t^7.2*y + (t^7.53*y)/g1^8 + (2*t^7.63*y)/g1^2 + 2*g1^10*t^7.83*y + g1^16*t^7.93*y + (t^8.07*y)/g1^16 + (3*t^8.27*y)/g1^4 + 3*g1^2*t^8.37*y + g1^8*t^8.47*y + (2*t^8.8*y)/g1^12 + (3*t^8.9*y)/g1^6 |
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 |
---|---|---|---|---|---|---|---|---|
2184 | $\phi_1q_1^2$ + $ 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_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_1$ | 0.6908 | 0.8766 | 0.788 | [X:[], M:[1.1459, 1.0937, 0.9324, 0.8541, 0.8541, 0.6928, 0.7188], q:[0.7734, 0.3464], qb:[0.5077, 0.5599], phi:[0.4531]] | t^2.08 + t^2.16 + 2*t^2.56 + t^2.72 + t^2.8 + t^3.28 + t^3.36 + t^4. + t^4.08 + t^4.16 + t^4.23 + t^4.31 + t^4.41 + t^4.56 + 2*t^4.64 + 3*t^4.72 + t^4.8 + 2*t^4.88 + t^4.95 + 3*t^5.12 + 2*t^5.28 + 2*t^5.36 + 3*t^5.44 + t^5.52 + t^5.59 + t^5.84 + 2*t^5.92 - 2*t^6. - t^4.36/y - t^4.36*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 |
---|---|---|---|---|---|---|---|---|---|
711 | 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_1M_4$ + $ M_1M_5$ | 0.6503 | 0.8006 | 0.8123 | [X:[], M:[1.1584, 1.0875, 0.948, 0.8416, 0.8416], q:[0.7719, 0.3511], qb:[0.4905, 0.5615], phi:[0.4563]] | 2*t^2.52 + t^2.74 + t^2.84 + t^3.26 + t^3.37 + t^3.79 + t^3.89 + t^4. + t^4.11 + t^4.31 + t^4.52 + t^4.74 + 3*t^5.05 + 2*t^5.26 + t^5.37 + t^5.48 + t^5.69 + t^5.79 + 2*t^5.89 - 2*t^6. - t^4.37/y - t^4.37*y | detail |