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 |
---|---|---|---|---|---|---|---|---|---|
47100 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.6406 | 0.843 | 0.7599 | [X:[], M:[0.9525, 0.8575, 1.0475, 0.7138, 0.8088], q:[0.7381, 0.3094], qb:[0.4044, 0.4531], phi:[0.5238]] | [X:[], M:[[4], [12], [-4], [-18], [-26]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_5$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_5^2$, $ M_2q_2\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_5$, $ M_5\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_3$, $ M_2\phi_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_1^2$ | $\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | -1 | 2*t^2.14 + t^2.29 + t^2.43 + 2*t^2.57 + 2*t^3.14 + t^3.43 + t^3.71 + t^4. + t^4.14 + 3*t^4.28 + t^4.29 + 2*t^4.43 + 3*t^4.57 + 5*t^4.71 + t^4.85 + 2*t^4.86 + 2*t^5. + 3*t^5.14 + 4*t^5.28 + 2*t^5.43 + 3*t^5.57 + 3*t^5.71 + 2*t^5.85 - t^6. + 3*t^6.14 - t^6.15 + 4*t^6.29 + 5*t^6.42 + t^6.43 + 6*t^6.57 + t^6.58 + 3*t^6.71 + 3*t^6.72 + 11*t^6.86 + 2*t^6.99 + 2*t^7. + 6*t^7.14 + t^7.15 + t^7.28 + 6*t^7.29 + 12*t^7.43 + 3*t^7.57 + 6*t^7.71 + 4*t^7.72 + 5*t^7.86 + 6*t^8. - t^8.14 + 5*t^8.28 + 4*t^8.43 + 5*t^8.57 + t^8.58 + 10*t^8.71 - t^8.72 + 5*t^8.85 + 5*t^8.86 - t^4.57/y - t^6.71/y - t^7./y - t^7.14/y + t^7.28/y + (3*t^7.43)/y + (2*t^7.57)/y + (4*t^7.71)/y + (2*t^7.86)/y + (3*t^8.)/y + (2*t^8.14)/y + (4*t^8.28)/y + (3*t^8.43)/y + (4*t^8.57)/y + (5*t^8.71)/y + (2*t^8.85)/y - t^4.57*y - t^6.71*y - t^7.*y - t^7.14*y + t^7.28*y + 3*t^7.43*y + 2*t^7.57*y + 4*t^7.71*y + 2*t^7.86*y + 3*t^8.*y + 2*t^8.14*y + 4*t^8.28*y + 3*t^8.43*y + 4*t^8.57*y + 5*t^8.71*y + 2*t^8.85*y | (2*t^2.14)/g1^18 + g1^20*t^2.29 + t^2.43/g1^26 + 2*g1^12*t^2.57 + (2*t^3.14)/g1^4 + t^3.43/g1^12 + t^3.71/g1^20 + t^4./g1^28 + g1^10*t^4.14 + (3*t^4.28)/g1^36 + g1^48*t^4.29 + 2*g1^2*t^4.43 + (2*t^4.57)/g1^44 + g1^40*t^4.57 + (5*t^4.71)/g1^6 + t^4.85/g1^52 + 2*g1^32*t^4.86 + (2*t^5.)/g1^14 + 3*g1^24*t^5.14 + (4*t^5.28)/g1^22 + 2*g1^16*t^5.43 + (3*t^5.57)/g1^30 + 3*g1^8*t^5.71 + (2*t^5.85)/g1^38 - t^6. + (3*t^6.14)/g1^46 - g1^38*t^6.15 + (4*t^6.29)/g1^8 + (5*t^6.42)/g1^54 + g1^30*t^6.43 + (6*t^6.57)/g1^16 + g1^68*t^6.58 + (3*t^6.71)/g1^62 + 3*g1^22*t^6.72 + (8*t^6.86)/g1^24 + 3*g1^60*t^6.86 + (2*t^6.99)/g1^70 + 2*g1^14*t^7. + (6*t^7.14)/g1^32 + g1^52*t^7.15 + t^7.28/g1^78 + 6*g1^6*t^7.29 + (8*t^7.43)/g1^40 + 4*g1^44*t^7.43 + (3*t^7.57)/g1^2 + (6*t^7.71)/g1^48 + 4*g1^36*t^7.72 + (5*t^7.86)/g1^10 + (5*t^8.)/g1^56 + g1^28*t^8. - t^8.14/g1^18 + (5*t^8.28)/g1^64 + (4*t^8.43)/g1^26 + (8*t^8.57)/g1^72 - 3*g1^12*t^8.57 + g1^96*t^8.58 + (10*t^8.71)/g1^34 - g1^50*t^8.72 + (5*t^8.85)/g1^80 + 4*g1^4*t^8.86 + g1^88*t^8.86 - t^4.57/(g1^2*y) - t^6.71/(g1^20*y) - t^7./(g1^28*y) - (g1^10*t^7.14)/y + t^7.28/(g1^36*y) + (3*g1^2*t^7.43)/y + (2*t^7.57)/(g1^44*y) + (4*t^7.71)/(g1^6*y) + (2*g1^32*t^7.86)/y + (3*t^8.)/(g1^14*y) + (2*g1^24*t^8.14)/y + (4*t^8.28)/(g1^22*y) + (3*g1^16*t^8.43)/y + (4*t^8.57)/(g1^30*y) + (5*g1^8*t^8.71)/y + (2*t^8.85)/(g1^38*y) - (t^4.57*y)/g1^2 - (t^6.71*y)/g1^20 - (t^7.*y)/g1^28 - g1^10*t^7.14*y + (t^7.28*y)/g1^36 + 3*g1^2*t^7.43*y + (2*t^7.57*y)/g1^44 + (4*t^7.71*y)/g1^6 + 2*g1^32*t^7.86*y + (3*t^8.*y)/g1^14 + 2*g1^24*t^8.14*y + (4*t^8.28*y)/g1^22 + 3*g1^16*t^8.43*y + (4*t^8.57*y)/g1^30 + 5*g1^8*t^8.71*y + (2*t^8.85*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|
55035 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6283 | 0.8228 | 0.7636 | [X:[], M:[0.9544, 0.8632, 1.0456, 0.7052, 0.7964, 1.1368], q:[0.7386, 0.307], qb:[0.3982, 0.465], phi:[0.5228]] | 2*t^2.12 + t^2.32 + t^2.39 + t^2.59 + 2*t^3.14 + 2*t^3.41 + t^3.68 + t^3.96 + t^4.16 + 3*t^4.23 + t^4.36 + 2*t^4.43 + 2*t^4.5 + t^4.63 + 3*t^4.71 + t^4.78 + t^4.91 + t^4.98 + t^5.18 + 4*t^5.25 + 2*t^5.45 + 5*t^5.53 + 2*t^5.73 + 3*t^5.8 - t^6. - t^4.57/y - t^4.57*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 |
---|---|---|---|---|---|---|---|---|---|
46696 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6254 | 0.8161 | 0.7663 | [X:[], M:[0.9488, 0.8464, 1.0512, 0.7304], q:[0.7372, 0.314], qb:[0.4164, 0.43], phi:[0.5256]] | 2*t^2.19 + t^2.23 + 2*t^2.54 + 2*t^3.15 + t^3.46 + t^3.5 + t^3.77 + t^4.08 + t^4.12 + t^4.16 + 3*t^4.38 + 2*t^4.42 + t^4.46 + 4*t^4.73 + 2*t^4.77 + 3*t^5.08 + 4*t^5.34 + 2*t^5.39 + t^5.65 + 5*t^5.69 + t^5.73 + t^5.96 - t^6. - t^4.58/y - t^4.58*y | detail |