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 |
---|---|---|---|---|---|---|---|---|---|
8911 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_3$ + $ M_4\phi_1^2q_1q_2$ + $ M_5\phi_1q_1q_2$ | 1.1474 | 1.3085 | 0.8769 | [X:[1.5936], M:[0.8451, 1.1871, 0.8129, 0.8129, 1.0161], q:[0.4758, 0.3048], qb:[], phi:[0.2032]] | [X:[[4]], M:[[-28], [8], [-8], [-8], [-10]], q:[[15], [-3]], qb:[], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_1q_2$, $ M_3$, $ M_4$, $ \phi_1^4$, $ M_1$, $ M_5$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ q_1^2q_2^2$, $ M_3q_1q_2$, $ M_4q_1q_2$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3\phi_1^4$, $ M_4\phi_1^4$, $ \phi_1^8$, $ M_1q_1q_2$, $ M_1M_3$, $ M_1M_4$, $ M_1\phi_1^4$, $ M_1^2$, $ M_5q_1q_2$, $ M_3M_5$, $ M_4M_5$, $ M_5\phi_1^4$, $ M_1M_5$ | $\phi_1^3q_1q_2^3$ | -1 | t^2.34 + 3*t^2.44 + t^2.54 + t^3.05 + t^3.66 + t^4.17 + 2*t^4.68 + 4*t^4.78 + 7*t^4.88 + 3*t^4.97 + t^5.07 + t^5.39 + 2*t^5.49 + t^5.58 - t^6. + 3*t^6.1 + t^6.19 + 2*t^6.61 + t^6.71 + 2*t^7.03 + 5*t^7.12 + 10*t^7.22 + 14*t^7.32 + 7*t^7.41 + 3*t^7.51 + t^7.61 + 3*t^7.83 + 4*t^7.93 + 2*t^8.02 + t^8.12 - t^8.25 - 2*t^8.34 - 2*t^8.44 + 4*t^8.54 + 3*t^8.63 + t^8.73 + t^8.85 - 3*t^8.95 + t^8.44/y^2 - t^8.95/y^2 - t^3.61/y - t^4.83/y - t^5.95/y - (3*t^6.05)/y - t^6.15/y - t^6.66/y - (3*t^7.27)/y - t^7.36/y + (3*t^7.78)/y + (3*t^7.88)/y + (3*t^7.97)/y - t^8.29/y - t^8.39/y - (4*t^8.49)/y - (2*t^8.58)/y - t^8.68/y - t^3.61*y - t^4.83*y - t^5.95*y - 3*t^6.05*y - t^6.15*y - t^6.66*y - 3*t^7.27*y - t^7.36*y + 3*t^7.78*y + 3*t^7.88*y + 3*t^7.97*y - t^8.29*y - t^8.39*y - 4*t^8.49*y - 2*t^8.58*y - t^8.68*y + t^8.44*y^2 - t^8.95*y^2 | g1^12*t^2.34 + (3*t^2.44)/g1^8 + t^2.54/g1^28 + t^3.05/g1^10 + t^3.66/g1^12 + g1^6*t^4.17 + 2*g1^24*t^4.68 + 4*g1^4*t^4.78 + (7*t^4.88)/g1^16 + (3*t^4.97)/g1^36 + t^5.07/g1^56 + g1^2*t^5.39 + (2*t^5.49)/g1^18 + t^5.58/g1^38 - t^6. + (3*t^6.1)/g1^20 + t^6.19/g1^40 + (2*t^6.61)/g1^2 + t^6.71/g1^22 + 2*g1^36*t^7.03 + 5*g1^16*t^7.12 + (10*t^7.22)/g1^4 + (14*t^7.32)/g1^24 + (7*t^7.41)/g1^44 + (3*t^7.51)/g1^64 + t^7.61/g1^84 + (3*t^7.83)/g1^6 + (4*t^7.93)/g1^26 + (2*t^8.02)/g1^46 + t^8.12/g1^66 - g1^32*t^8.25 - 2*g1^12*t^8.34 - (2*t^8.44)/g1^8 + (4*t^8.54)/g1^28 + (3*t^8.63)/g1^48 + t^8.73/g1^68 + g1^30*t^8.85 - 3*g1^10*t^8.95 + t^8.44/(g1^8*y^2) - (g1^10*t^8.95)/y^2 - t^3.61/(g1^2*y) - t^4.83/(g1^6*y) - (g1^10*t^5.95)/y - (3*t^6.05)/(g1^10*y) - t^6.15/(g1^30*y) - t^6.66/(g1^12*y) - (3*t^7.27)/(g1^14*y) - t^7.36/(g1^34*y) + (3*g1^4*t^7.78)/y + (3*t^7.88)/(g1^16*y) + (3*t^7.97)/(g1^36*y) - (g1^22*t^8.29)/y - (g1^2*t^8.39)/y - (4*t^8.49)/(g1^18*y) - (2*t^8.58)/(g1^38*y) - t^8.68/(g1^58*y) - (t^3.61*y)/g1^2 - (t^4.83*y)/g1^6 - g1^10*t^5.95*y - (3*t^6.05*y)/g1^10 - (t^6.15*y)/g1^30 - (t^6.66*y)/g1^12 - (3*t^7.27*y)/g1^14 - (t^7.36*y)/g1^34 + 3*g1^4*t^7.78*y + (3*t^7.88*y)/g1^16 + (3*t^7.97*y)/g1^36 - g1^22*t^8.29*y - g1^2*t^8.39*y - (4*t^8.49*y)/g1^18 - (2*t^8.58*y)/g1^38 - (t^8.68*y)/g1^58 + (t^8.44*y^2)/g1^8 - g1^10*t^8.95*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 |
---|---|---|---|---|---|---|---|---|
9015 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_3$ + $ M_4\phi_1^2q_1q_2$ + $ M_5\phi_1q_1q_2$ + $ M_6\phi_1^3q_2^2$ | 1.1652 | 1.3399 | 0.8696 | [X:[1.5913], M:[0.8607, 1.1827, 0.8173, 0.8173, 1.0217, 0.774], q:[0.4675, 0.3065], qb:[], phi:[0.2043]] | 2*t^2.32 + 3*t^2.45 + t^2.58 + t^3.07 + t^4.16 + 4*t^4.64 + 7*t^4.77 + 8*t^4.9 + 3*t^5.03 + t^5.16 + 2*t^5.39 + 2*t^5.52 + t^5.65 - 2*t^6. - t^3.61/y - t^4.84/y - (2*t^5.93)/y - t^3.61*y - t^4.84*y - 2*t^5.93*y | detail | |
8953 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_3$ + $ M_4\phi_1^2q_1q_2$ + $ M_5\phi_1q_1q_2$ + $ M_6q_1q_2$ | 1.13 | 1.2784 | 0.8839 | [X:[1.596], M:[0.8281, 1.192, 0.808, 0.808, 1.01, 1.2121], q:[0.4849, 0.303], qb:[], phi:[0.202]] | 3*t^2.42 + t^2.48 + t^3.03 + 2*t^3.64 + t^4.18 + t^4.73 + t^4.79 + 6*t^4.85 + 3*t^4.91 + t^4.97 + 2*t^5.45 + t^5.51 - 2*t^6. - t^3.61/y - t^4.82/y - t^3.61*y - t^4.82*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 |
---|---|---|---|---|---|---|---|---|---|
8804 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_3$ + $ M_4\phi_1^2q_1q_2$ | 1.1493 | 1.3112 | 0.8765 | [X:[1.5901], M:[0.8691, 1.1803, 0.8197, 0.8197], q:[0.463, 0.3074], qb:[], phi:[0.2049]] | t^2.31 + 3*t^2.46 + t^2.61 + t^2.93 + t^3.69 + t^4.16 + 2*t^4.62 + 4*t^4.77 + 7*t^4.92 + 3*t^5.07 + t^5.21 + t^5.24 + 3*t^5.39 + t^5.85 - t^6. - t^3.61/y - t^4.84/y - t^5.93/y - t^3.61*y - t^4.84*y - t^5.93*y | detail |