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 |
---|---|---|---|---|---|---|---|---|---|
45304 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ + $ M_1M_3$ + $ M_4\phi_1^2q_2$ | 1.8355 | 1.9805 | 0.9268 | [X:[], M:[0.8395, 0.7407, 1.1605, 0.7901], q:[0.4198, 0.4692], qb:[], phi:[0.3704]] | [X:[], M:[[4], [-6], [-4], [-1]], q:[[2], [7]], qb:[], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ \phi_1^2$, $ M_4$, $ M_1$, $ q_1q_2$, $ q_2^2$, $ M_3$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_2M_4$, $ M_4\phi_1^2$, $ M_1M_2$, $ M_4^2$, $ M_1\phi_1^2$, $ \phi_1^2q_1^2$, $ M_1M_4$, $ M_2q_1q_2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ M_4q_1q_2$, $ M_2q_2^2$, $ \phi_1^2q_2^2$, $ M_1q_1q_2$, $ M_4q_2^2$, $ M_1q_2^2$, $ q_1^2q_2^2$, $ q_1q_2^3$, $ q_2^4$, $ M_2M_3$, $ M_3\phi_1^2$ | $\phi_1^3q_1q_2$ | 0 | 2*t^2.22 + t^2.37 + t^2.52 + t^2.67 + t^2.81 + t^3.48 + 4*t^4.44 + 2*t^4.59 + 4*t^4.74 + 4*t^4.89 + 5*t^5.04 + 2*t^5.19 + 2*t^5.33 + t^5.48 + t^5.63 + 2*t^5.7 + t^6.3 + 6*t^6.67 + 3*t^6.81 + 7*t^6.96 + 9*t^7.11 + 12*t^7.26 + 9*t^7.41 + 9*t^7.56 + 7*t^7.7 + 6*t^7.85 + 4*t^7.93 + 3*t^8. - t^8.07 + 2*t^8.15 + t^8.3 - 2*t^8.37 + t^8.44 - 2*t^8.67 - t^8.81 + 9*t^8.89 - t^4.11/y - t^5.37/y - t^5.52/y - (3*t^6.33)/y - t^6.48/y - t^6.63/y - t^6.78/y - t^6.93/y + t^7.44/y - t^7.59/y - t^7.74/y + (2*t^7.89)/y + t^8.04/y + t^8.48/y - (6*t^8.56)/y - (3*t^8.85)/y - t^4.11*y - t^5.37*y - t^5.52*y - 3*t^6.33*y - t^6.48*y - t^6.63*y - t^6.78*y - t^6.93*y + t^7.44*y - t^7.59*y - t^7.74*y + 2*t^7.89*y + t^8.04*y + t^8.48*y - 6*t^8.56*y - 3*t^8.85*y | (2*t^2.22)/g1^6 + t^2.37/g1 + g1^4*t^2.52 + g1^9*t^2.67 + g1^14*t^2.81 + t^3.48/g1^4 + (4*t^4.44)/g1^12 + (2*t^4.59)/g1^7 + (4*t^4.74)/g1^2 + 4*g1^3*t^4.89 + 5*g1^8*t^5.04 + 2*g1^13*t^5.19 + 2*g1^18*t^5.33 + g1^23*t^5.48 + g1^28*t^5.63 + (2*t^5.7)/g1^10 + g1^10*t^6.3 + (6*t^6.67)/g1^18 + (3*t^6.81)/g1^13 + (7*t^6.96)/g1^8 + (9*t^7.11)/g1^3 + 12*g1^2*t^7.26 + 9*g1^7*t^7.41 + 9*g1^12*t^7.56 + 7*g1^17*t^7.7 + 6*g1^22*t^7.85 + (4*t^7.93)/g1^16 + 3*g1^27*t^8. - t^8.07/g1^11 + 2*g1^32*t^8.15 + g1^37*t^8.3 - (2*t^8.37)/g1 + g1^42*t^8.44 - 2*g1^9*t^8.67 - g1^14*t^8.81 + (9*t^8.89)/g1^24 - t^4.11/(g1^3*y) - t^5.37/(g1*y) - (g1^4*t^5.52)/y - (3*t^6.33)/(g1^9*y) - t^6.48/(g1^4*y) - (g1*t^6.63)/y - (g1^6*t^6.78)/y - (g1^11*t^6.93)/y + t^7.44/(g1^12*y) - t^7.59/(g1^7*y) - t^7.74/(g1^2*y) + (2*g1^3*t^7.89)/y + (g1^8*t^8.04)/y + (g1^23*t^8.48)/y - (6*t^8.56)/(g1^15*y) - (3*t^8.85)/(g1^5*y) - (t^4.11*y)/g1^3 - (t^5.37*y)/g1 - g1^4*t^5.52*y - (3*t^6.33*y)/g1^9 - (t^6.48*y)/g1^4 - g1*t^6.63*y - g1^6*t^6.78*y - g1^11*t^6.93*y + (t^7.44*y)/g1^12 - (t^7.59*y)/g1^7 - (t^7.74*y)/g1^2 + 2*g1^3*t^7.89*y + g1^8*t^8.04*y + g1^23*t^8.48*y - (6*t^8.56*y)/g1^15 - (3*t^8.85*y)/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 |
---|---|---|---|---|---|---|---|---|
45451 | $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ + $ M_1M_3$ + $ M_4\phi_1^2q_2$ + $ M_5q_2^2$ | 1.8322 | 1.9748 | 0.9278 | [X:[], M:[0.8546, 0.718, 1.1454, 0.7863, 1.0087], q:[0.4273, 0.4956], qb:[], phi:[0.359]] | 2*t^2.15 + t^2.36 + t^2.56 + t^2.77 + t^3.03 + t^3.44 + 4*t^4.31 + 2*t^4.51 + 4*t^4.72 + 4*t^4.92 + 3*t^5.13 + 2*t^5.18 + t^5.33 + t^5.39 + t^5.54 + 3*t^5.59 + t^5.8 - t^4.08/y - t^5.36/y - t^5.56/y - t^4.08*y - t^5.36*y - t^5.56*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 |
---|---|---|---|---|---|---|---|---|---|
45204 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ + $ M_1M_3$ | 1.8184 | 1.9504 | 0.9323 | [X:[], M:[0.8389, 0.7417, 1.1611], q:[0.4194, 0.468], qb:[], phi:[0.3708]] | 2*t^2.23 + t^2.52 + t^2.66 + t^2.81 + t^3.48 + t^3.63 + 4*t^4.45 + 3*t^4.74 + 3*t^4.89 + 4*t^5.03 + t^5.18 + 2*t^5.32 + t^5.47 + t^5.62 + 2*t^5.71 + t^5.85 - t^4.11/y - t^5.37/y - t^5.52/y - t^4.11*y - t^5.37*y - t^5.52*y | detail |