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 |
---|---|---|---|---|---|---|---|---|---|
8774 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_4\phi_1q_2^2$ | 1.1506 | 1.2786 | 0.8999 | [X:[1.6194], M:[1.1419, 1.0484, 0.9516, 0.8548], q:[0.3806, 0.4774], qb:[], phi:[0.1903]] | [X:[[2]], M:[[-6], [5], [-5], [-15]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$\phi_1^4$, $ M_4$, $ M_3$, $ M_2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_2^2$, $ M_4\phi_1^4$, $ X_1$, $ M_4^2$, $ M_3\phi_1^4$, $ M_3M_4$, $ M_2\phi_1^4$, $ M_3^2$, $ M_2M_4$, $ M_1\phi_1^4$, $ M_1M_4$ | $\phi_1^6q_1q_2$ | 0 | t^2.28 + t^2.56 + t^2.85 + t^3.15 + t^3.43 + t^3.72 + t^4. + t^4.29 + t^4.57 + t^4.58 + t^4.85 + t^4.86 + t^5.13 + t^5.14 + t^5.42 + t^5.43 + 2*t^5.71 + t^5.99 + 2*t^6.28 + t^6.56 + 2*t^6.57 + 3*t^6.85 + t^6.86 + t^7.13 + 4*t^7.14 + t^7.41 + 2*t^7.42 + t^7.43 + t^7.69 + t^7.7 + 2*t^7.71 + t^7.72 + t^7.98 + 3*t^7.99 + t^8. + 2*t^8.27 + 3*t^8.28 + t^8.55 + t^8.56 + t^8.57 + t^8.85 + t^8.86 + t^8.28/y^2 - t^8.85/y^2 - t^3.57/y - t^4.71/y - t^5.85/y - t^6.14/y - t^6.43/y - t^6.72/y - (2*t^7.)/y - t^7.28/y - t^7.57/y + t^7.85/y - t^7.86/y - t^8.14/y + t^8.43/y - t^8.7/y + t^8.71/y - t^3.57*y - t^4.71*y - t^5.85*y - t^6.14*y - t^6.43*y - t^6.72*y - 2*t^7.*y - t^7.28*y - t^7.57*y + t^7.85*y - t^7.86*y - t^8.14*y + t^8.43*y - t^8.7*y + t^8.71*y + t^8.28*y^2 - t^8.85*y^2 | t^2.28/g1^4 + t^2.56/g1^15 + t^2.85/g1^5 + g1^5*t^3.15 + t^3.43/g1^6 + g1^4*t^3.72 + t^4./g1^7 + g1^3*t^4.29 + t^4.57/g1^8 + g1^13*t^4.58 + t^4.85/g1^19 + g1^2*t^4.86 + t^5.13/g1^30 + t^5.14/g1^9 + t^5.42/g1^20 + g1*t^5.43 + (2*t^5.71)/g1^10 + t^5.99/g1^21 + (2*t^6.28)/g1^11 + t^6.56/g1^22 + (2*t^6.57)/g1 + (3*t^6.85)/g1^12 + g1^9*t^6.86 + t^7.13/g1^23 + (4*t^7.14)/g1^2 + t^7.41/g1^34 + (2*t^7.42)/g1^13 + g1^8*t^7.43 + t^7.69/g1^45 + t^7.7/g1^24 + (2*t^7.71)/g1^3 + g1^18*t^7.72 + t^7.98/g1^35 + (3*t^7.99)/g1^14 + g1^7*t^8. + (2*t^8.27)/g1^25 + (3*t^8.28)/g1^4 + t^8.55/g1^36 + t^8.56/g1^15 + g1^6*t^8.57 + (2*t^8.85)/g1^26 - t^8.85/g1^5 + g1^16*t^8.86 + t^8.28/(g1^4*y^2) - t^8.85/(g1^5*y^2) - t^3.57/(g1*y) - t^4.71/(g1^3*y) - t^5.85/(g1^5*y) - t^6.14/(g1^16*y) - t^6.43/(g1^6*y) - (g1^4*t^6.72)/y - (2*t^7.)/(g1^7*y) - t^7.28/(g1^18*y) - t^7.57/(g1^8*y) + t^7.85/(g1^19*y) - (g1^2*t^7.86)/y - t^8.14/(g1^9*y) + (g1*t^8.43)/y - t^8.7/(g1^31*y) + t^8.71/(g1^10*y) - (t^3.57*y)/g1 - (t^4.71*y)/g1^3 - (t^5.85*y)/g1^5 - (t^6.14*y)/g1^16 - (t^6.43*y)/g1^6 - g1^4*t^6.72*y - (2*t^7.*y)/g1^7 - (t^7.28*y)/g1^18 - (t^7.57*y)/g1^8 + (t^7.85*y)/g1^19 - g1^2*t^7.86*y - (t^8.14*y)/g1^9 + g1*t^8.43*y - (t^8.7*y)/g1^31 + (t^8.71*y)/g1^10 + (t^8.28*y^2)/g1^4 - (t^8.85*y^2)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
8880 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_4\phi_1q_2^2$ + $ M_2M_5$ | 1.1554 | 1.2874 | 0.8975 | [X:[1.6224], M:[1.1328, 1.056, 0.944, 0.8321, 0.944], q:[0.3776, 0.4896], qb:[], phi:[0.1888]] | t^2.27 + t^2.5 + 2*t^2.83 + t^3.4 + t^3.73 + t^3.96 + t^4.3 + t^4.53 + t^4.64 + t^4.76 + t^4.87 + t^4.99 + 2*t^5.1 + 2*t^5.33 + 3*t^5.66 + t^5.89 - t^6. - t^3.57/y - t^4.7/y - t^5.83/y - t^3.57*y - t^4.7*y - t^5.83*y | detail | |
8879 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_4\phi_1q_2^2$ + $ M_3M_5$ | 1.1464 | 1.2714 | 0.9017 | [X:[1.6162], M:[1.1513, 1.0406, 0.9594, 0.8782, 1.0406], q:[0.3838, 0.465], qb:[], phi:[0.1919]] | t^2.3 + t^2.63 + 2*t^3.12 + t^3.45 + t^3.7 + t^4.03 + t^4.27 + t^4.52 + t^4.61 + t^4.85 + t^4.94 + t^5.27 + 2*t^5.42 + 2*t^5.76 - t^6. - t^3.58/y - t^4.73/y - t^5.88/y - t^3.58*y - t^4.73*y - t^5.88*y | detail | |
8881 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1^2q_1q_2$ | 1.1692 | 1.3125 | 0.8908 | [X:[1.6206], M:[1.1383, 1.0514, 0.9486, 0.8459, 0.7589], q:[0.3794, 0.4822], qb:[], phi:[0.1897]] | 2*t^2.28 + t^2.54 + t^2.85 + t^3.15 + t^3.42 + t^3.98 + t^4.29 + 3*t^4.55 + t^4.6 + 2*t^4.81 + t^4.86 + t^5.08 + 2*t^5.12 + t^5.38 + 2*t^5.43 + 3*t^5.69 + t^5.95 - t^6. - t^3.57/y - t^4.71/y - (2*t^5.85)/y - t^3.57*y - t^4.71*y - 2*t^5.85*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 |
---|---|---|---|---|---|---|---|---|---|
8613 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ | 1.1404 | 1.2622 | 0.9035 | [X:[1.6102], M:[1.1693, 1.0256, 0.9744], q:[0.3898, 0.441], qb:[], phi:[0.1949]] | t^2.34 + t^2.92 + t^3.08 + t^3.23 + t^3.51 + t^3.66 + t^4.09 + t^4.25 + t^4.4 + t^4.68 + t^4.83 + t^5.26 + t^5.42 + t^5.57 + t^5.85 - t^3.58/y - t^4.75/y - t^5.92/y - t^3.58*y - t^4.75*y - t^5.92*y | detail |