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 |
---|---|---|---|---|---|---|---|---|---|
91 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ | 0.5344 | 0.6715 | 0.7957 | [X:[], M:[1.0], q:[0.7805, 0.7805], qb:[0.2195, 0.4638], phi:[0.4389]] | [X:[], M:[[0]], q:[[1], [1]], qb:[[-1], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^3\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1^3\tilde{q}_1^2$, $ \phi_1^2\tilde{q}_1^4$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_1\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$ | $M_1q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1^3\tilde{q}_2$ | 1 | t^2.05 + 2*t^2.63 + 2*t^3. + t^3.37 + 2*t^3.73 + 2*t^4.1 + 3*t^4.68 + 2*t^5.05 + 2*t^5.27 + t^5.42 + 2*t^5.63 + 2*t^5.78 + t^6. + 2*t^6.15 + 2*t^6.37 - t^6.58 + 6*t^6.73 - 2*t^6.95 + 4*t^7.1 + t^7.32 + 4*t^7.47 + 4*t^7.83 + 2*t^7.9 - t^8.05 + 3*t^8.2 + 2*t^8.42 - 2*t^8.63 + 6*t^8.78 - t^4.32/y - t^6.95/y + (3*t^7.68)/y + (2*t^8.05)/y + t^8.27/y + t^8.42/y + (4*t^8.63)/y + (2*t^8.78)/y - t^4.32*y - t^6.95*y + 3*t^7.68*y + 2*t^8.05*y + t^8.27*y + t^8.42*y + 4*t^8.63*y + 2*t^8.78*y | g1^6*t^2.05 + (2*t^2.63)/g1^4 + 2*t^3. + g1^4*t^3.37 + 2*g1^8*t^3.73 + 2*g1^12*t^4.1 + 3*g1^2*t^4.68 + 2*g1^6*t^5.05 + (2*t^5.27)/g1^8 + g1^10*t^5.42 + (2*t^5.63)/g1^4 + 2*g1^14*t^5.78 + t^6. + 2*g1^18*t^6.15 + 2*g1^4*t^6.37 - t^6.58/g1^10 + 6*g1^8*t^6.73 - (2*t^6.95)/g1^6 + 4*g1^12*t^7.1 + t^7.32/g1^2 + 4*g1^16*t^7.47 + 4*g1^20*t^7.83 + (2*t^7.9)/g1^12 - g1^6*t^8.05 + 3*g1^24*t^8.2 + 2*g1^10*t^8.42 - (2*t^8.63)/g1^4 + 6*g1^14*t^8.78 - t^4.32/(g1^2*y) - t^6.95/(g1^6*y) + (3*g1^2*t^7.68)/y + (2*g1^6*t^8.05)/y + t^8.27/(g1^8*y) + (g1^10*t^8.42)/y + (4*t^8.63)/(g1^4*y) + (2*g1^14*t^8.78)/y - (t^4.32*y)/g1^2 - (t^6.95*y)/g1^6 + 3*g1^2*t^7.68*y + 2*g1^6*t^8.05*y + (t^8.27*y)/g1^8 + g1^10*t^8.42*y + (4*t^8.63*y)/g1^4 + 2*g1^14*t^8.78*y |
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 |
---|---|---|---|---|---|---|---|---|
148 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5458 | 0.6894 | 0.7916 | [X:[], M:[1.0, 0.8656], q:[0.7836, 0.7836], qb:[0.2164, 0.4852], phi:[0.4328]] | t^2.1 + 3*t^2.6 + 2*t^3. + 2*t^3.81 + 2*t^4.21 + 4*t^4.7 + 2*t^5.1 + 5*t^5.19 + 4*t^5.6 + 2*t^5.91 - t^6. - t^4.3/y - t^4.3*y | detail | |
150 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ + $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | 0.516 | 0.641 | 0.805 | [X:[], M:[1.0], q:[0.8, 0.8], qb:[0.2, 0.6], phi:[0.4]] | 3*t^2.4 + 2*t^3. + t^3.6 + 2*t^4.2 + 7*t^4.8 + 4*t^5.4 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 129/250, c: 641/1000, M1: 1, q1: 4/5, q2: 4/5, qb1: 1/5, qb2: 3/5, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
60 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ | 0.628 | 0.7573 | 0.8293 | [X:[], M:[0.7035], q:[0.8228, 0.8228], qb:[0.4737, 0.4628], phi:[0.3545]] | t^2.11 + t^2.13 + t^2.81 + t^3.84 + 2*t^3.86 + t^3.87 + t^3.89 + t^3.91 + t^4.22 + t^4.24 + t^4.25 + t^4.92 + 2*t^4.94 + t^5.62 + t^5.95 + 2*t^5.97 + t^5.98 - t^6. - t^4.06/y - t^4.06*y | detail |