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 |
---|---|---|---|---|---|---|---|---|---|
8517 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ | 1.1632 | 1.3098 | 0.8881 | [X:[1.6545], M:[1.0364, 0.6909, 0.6909], q:[0.5682, 0.3955], qb:[], phi:[0.1727]] | [X:[[4]], M:[[-12], [-8], [-8]], q:[[5], [7]], qb:[], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ \phi_1^4$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1^3q_2^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2\phi_1^4$, $ M_3\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ M_2\phi_1q_2^2$, $ M_3\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ X_1$, $ M_1M_2$, $ M_1M_3$, $ M_1\phi_1^4$, $ M_2\phi_1q_1q_2$, $ M_3\phi_1q_1q_2$, $ \phi_1^2q_2^4$ | $M_1\phi_1q_2^2$, $ M_2\phi_1^3q_2^2$, $ M_3\phi_1^3q_2^2$, $ \phi_1^7q_2^2$ | 1 | 3*t^2.07 + t^2.89 + t^3.11 + t^3.41 + t^3.93 + 6*t^4.15 + t^4.45 + 5*t^4.96 + 3*t^5.18 + 2*t^5.48 + t^5.78 + t^6. + 11*t^6.22 + t^6.3 + t^6.52 + 2*t^6.82 + 10*t^7.04 + 6*t^7.25 + 2*t^7.34 + 2*t^7.55 + 5*t^7.85 + 2*t^8.07 + 18*t^8.29 + 4*t^8.37 - 5*t^8.59 + t^8.67 + 2*t^8.89 + t^8.07/y^2 - (3*t^8.59)/y^2 - t^3.52/y - t^4.55/y - (3*t^5.59)/y - t^6.41/y - (4*t^6.63)/y - t^6.93/y + (3*t^7.15)/y - (7*t^7.66)/y + (2*t^7.96)/y + (3*t^8.18)/y + t^8.48/y - (9*t^8.7)/y - t^3.52*y - t^4.55*y - 3*t^5.59*y - t^6.41*y - 4*t^6.63*y - t^6.93*y + 3*t^7.15*y - 7*t^7.66*y + 2*t^7.96*y + 3*t^8.18*y + t^8.48*y - 9*t^8.7*y + t^8.07*y^2 - 3*t^8.59*y^2 | (3*t^2.07)/g1^8 + g1^12*t^2.89 + t^3.11/g1^12 + g1^10*t^3.41 + g1^8*t^3.93 + (6*t^4.15)/g1^16 + g1^6*t^4.45 + 5*g1^4*t^4.96 + (3*t^5.18)/g1^20 + 2*g1^2*t^5.48 + g1^24*t^5.78 + t^6. + (11*t^6.22)/g1^24 + g1^22*t^6.3 + t^6.52/g1^2 + 2*g1^20*t^6.82 + (10*t^7.04)/g1^4 + (6*t^7.25)/g1^28 + 2*g1^18*t^7.34 + (2*t^7.55)/g1^6 + 5*g1^16*t^7.85 + (2*t^8.07)/g1^8 + (18*t^8.29)/g1^32 + 4*g1^14*t^8.37 - (5*t^8.59)/g1^10 + g1^36*t^8.67 + 2*g1^12*t^8.89 + t^8.07/(g1^8*y^2) - (3*t^8.59)/(g1^10*y^2) - t^3.52/(g1^2*y) - t^4.55/(g1^6*y) - (3*t^5.59)/(g1^10*y) - (g1^10*t^6.41)/y - (4*t^6.63)/(g1^14*y) - (g1^8*t^6.93)/y + (3*t^7.15)/(g1^16*y) - (7*t^7.66)/(g1^18*y) + (2*g1^4*t^7.96)/y + (3*t^8.18)/(g1^20*y) + (g1^2*t^8.48)/y - (9*t^8.7)/(g1^22*y) - (t^3.52*y)/g1^2 - (t^4.55*y)/g1^6 - (3*t^5.59*y)/g1^10 - g1^10*t^6.41*y - (4*t^6.63*y)/g1^14 - g1^8*t^6.93*y + (3*t^7.15*y)/g1^16 - (7*t^7.66*y)/g1^18 + 2*g1^4*t^7.96*y + (3*t^8.18*y)/g1^20 + g1^2*t^8.48*y - (9*t^8.7*y)/g1^22 + (t^8.07*y^2)/g1^8 - (3*t^8.59*y^2)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
8747 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ + $ M_4\phi_1^3q_2^2$ | 1.1838 | 1.3498 | 0.877 | [X:[1.6556], M:[1.0332, 0.6888, 0.6888, 0.6888], q:[0.5695, 0.3973], qb:[], phi:[0.1722]] | 4*t^2.07 + t^2.9 + t^3.1 + t^3.42 + 10*t^4.13 + t^4.45 + 6*t^4.97 + 4*t^5.17 + 3*t^5.48 + t^5.8 - 2*t^6. - t^3.52/y - t^4.55/y - (4*t^5.58)/y - t^3.52*y - t^4.55*y - 4*t^5.58*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 |
---|---|---|---|---|---|---|---|---|---|
8384 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ | 1.1425 | 1.27 | 0.8996 | [X:[1.6533], M:[1.0401, 0.6934], q:[0.5666, 0.3933], qb:[], phi:[0.1734]] | 2*t^2.08 + t^2.88 + t^3.12 + t^3.4 + 2*t^3.92 + 3*t^4.16 + t^4.44 + 4*t^4.96 + 2*t^5.2 + t^5.48 + t^5.76 + 2*t^6. - t^3.52/y - t^4.56/y - (2*t^5.6)/y - t^3.52*y - t^4.56*y - 2*t^5.6*y | detail |