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 |
---|---|---|---|---|---|---|---|---|---|
8473 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1\phi_1^4$ | 1.108 | 1.2425 | 0.8917 | [X:[1.5797], M:[1.1594, 1.0508], q:[0.3152, 0.4239], qb:[], phi:[0.2102]] | [X:[[4]], M:[[8], [-10]], q:[[-3], [15]], qb:[], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_1q_2$, $ \phi_1^4$, $ M_2$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ q_1^2q_2^2$, $ \phi_1^4q_1q_2$, $ X_1$, $ \phi_1^8$, $ M_2q_1q_2$, $ \phi_1q_1q_2^3$, $ M_1q_1q_2$, $ \phi_1^5q_2^2$, $ \phi_1^2q_1^2q_2^2$ | $\phi_1^6q_1q_2$, $ \phi_1^3q_1^3q_2$ | 1 | t^2.22 + t^2.52 + t^3.15 + t^3.17 + 2*t^3.48 + t^3.78 + t^4.11 + 2*t^4.43 + 2*t^4.74 + t^5.04 + t^5.37 + t^5.39 + 3*t^5.7 + t^6. + t^6.3 + t^6.33 + t^6.35 + 2*t^6.63 + 4*t^6.65 + 5*t^6.96 + 3*t^7.26 + t^7.28 + t^7.57 + 2*t^7.59 + 2*t^7.61 + t^7.89 + 5*t^7.91 + 3*t^8.22 + 2*t^8.52 + 2*t^8.54 + t^8.56 - t^8.85 + 6*t^8.87 + t^8.52/y^2 - t^8.85/y^2 - t^3.63/y - t^4.89/y - t^5.85/y - t^6.15/y - t^6.78/y - t^6.8/y - (2*t^7.11)/y - t^7.41/y + t^7.74/y - t^8.04/y - (2*t^8.07)/y - t^8.37/y + t^8.39/y + (3*t^8.7)/y - t^3.63*y - t^4.89*y - t^5.85*y - t^6.15*y - t^6.78*y - t^6.8*y - 2*t^7.11*y - t^7.41*y + t^7.74*y - t^8.04*y - 2*t^8.07*y - t^8.37*y + t^8.39*y + 3*t^8.7*y + t^8.52*y^2 - t^8.85*y^2 | g1^12*t^2.22 + t^2.52/g1^8 + t^3.15/g1^10 + g1^28*t^3.17 + 2*g1^8*t^3.48 + t^3.78/g1^12 + g1^6*t^4.11 + 2*g1^24*t^4.43 + 2*g1^4*t^4.74 + t^5.04/g1^16 + g1^2*t^5.37 + g1^40*t^5.39 + 3*g1^20*t^5.7 + t^6. + t^6.3/g1^20 + g1^18*t^6.33 + g1^56*t^6.35 + (2*t^6.63)/g1^2 + 4*g1^36*t^6.65 + 5*g1^16*t^6.96 + (3*t^7.26)/g1^4 + g1^34*t^7.28 + t^7.57/g1^24 + 2*g1^14*t^7.59 + 2*g1^52*t^7.61 + t^7.89/g1^6 + 5*g1^32*t^7.91 + 3*g1^12*t^8.22 + (2*t^8.52)/g1^8 + 2*g1^30*t^8.54 + g1^68*t^8.56 - g1^10*t^8.85 + 6*g1^48*t^8.87 + t^8.52/(g1^8*y^2) - (g1^10*t^8.85)/y^2 - t^3.63/(g1^2*y) - t^4.89/(g1^6*y) - (g1^10*t^5.85)/y - t^6.15/(g1^10*y) - t^6.78/(g1^12*y) - (g1^26*t^6.8)/y - (2*g1^6*t^7.11)/y - t^7.41/(g1^14*y) + (g1^4*t^7.74)/y - t^8.04/(g1^16*y) - (2*g1^22*t^8.07)/y - (g1^2*t^8.37)/y + (g1^40*t^8.39)/y + (3*g1^20*t^8.7)/y - (t^3.63*y)/g1^2 - (t^4.89*y)/g1^6 - g1^10*t^5.85*y - (t^6.15*y)/g1^10 - (t^6.78*y)/g1^12 - g1^26*t^6.8*y - 2*g1^6*t^7.11*y - (t^7.41*y)/g1^14 + g1^4*t^7.74*y - (t^8.04*y)/g1^16 - 2*g1^22*t^8.07*y - g1^2*t^8.37*y + g1^40*t^8.39*y + 3*g1^20*t^8.7*y + (t^8.52*y^2)/g1^8 - g1^10*t^8.85*y^2 |
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 |
---|---|---|---|---|---|---|---|---|
8646 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ M_1M_3$ | 1.122 | 1.2656 | 0.8865 | [X:[1.5822], M:[1.1643, 1.0446, 0.8357], q:[0.3134, 0.4331], qb:[], phi:[0.2089]] | t^2.24 + 2*t^2.51 + t^3.13 + t^3.23 + t^3.49 + t^3.76 + t^4.12 + 2*t^4.48 + 3*t^4.75 + 3*t^5.01 + t^5.37 + t^5.46 + t^5.64 + 3*t^5.73 + t^6. - t^3.63/y - t^4.88/y - t^5.87/y - t^3.63*y - t^4.88*y - t^5.87*y | detail | |
8648 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ M_3\phi_1^3q_1^2$ | 1.1275 | 1.2795 | 0.8812 | [X:[1.5779], M:[1.1559, 1.0551, 0.7338], q:[0.3165, 0.4173], qb:[], phi:[0.211]] | 2*t^2.2 + t^2.53 + t^3.14 + t^3.17 + 2*t^3.47 + t^4.1 + 4*t^4.4 + 3*t^4.73 + t^5.06 + 2*t^5.34 + 2*t^5.37 + 5*t^5.67 - t^3.63/y - t^4.9/y - (2*t^5.83)/y - t^3.63*y - t^4.9*y - 2*t^5.83*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 |
---|---|---|---|---|---|---|---|---|---|
8228 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ | 1.1778 | 1.3093 | 0.8996 | [X:[1.6457], M:[0.8448, 0.8858], q:[0.489, 0.4481], qb:[], phi:[0.1772]] | t^2.13 + t^2.53 + t^2.66 + t^2.81 + t^3.22 + t^3.87 + t^4.25 + t^4.28 + t^4.41 + t^4.53 + t^4.66 + t^4.78 + 2*t^4.94 + t^5.07 + t^5.19 + t^5.31 + 2*t^5.35 + t^5.47 + t^5.62 + t^5.75 - t^6. - t^3.53/y - t^4.59/y - t^5.66/y - t^3.53*y - t^4.59*y - t^5.66*y | detail |