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 |
---|---|---|---|---|---|---|---|---|---|
63 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.6281 | 0.7582 | 0.8284 | [X:[], M:[0.6941], q:[0.8224, 0.8224], qb:[0.4753, 0.4589], phi:[0.3553]] | [X:[], M:[[-10, 2]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_1q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ M_1q_1\tilde{q}_1$, $ M_1q_2\tilde{q}_1$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -2 | t^2.08 + t^2.13 + t^2.8 + t^3.82 + 2*t^3.84 + t^3.87 + 2*t^3.89 + t^4.16 + t^4.21 + t^4.26 + t^4.88 + 2*t^4.93 + t^5.61 + t^5.9 + 2*t^5.93 + t^5.95 + 2*t^5.98 - 2*t^6. - t^6.05 + t^6.25 + t^6.3 + t^6.35 + t^6.39 + t^6.62 + 2*t^6.65 + t^6.67 + 2*t^6.7 + t^6.97 + t^7.02 - 2*t^7.04 - 2*t^7.09 - t^7.12 + t^7.64 + 2*t^7.66 + 4*t^7.69 + 2*t^7.71 + 4*t^7.74 + 2*t^7.79 + t^7.98 + 2*t^8.01 + t^8.03 + 2*t^8.06 - 2*t^8.08 - 2*t^8.13 - t^8.18 + t^8.33 + t^8.38 + t^8.41 + t^8.43 + t^8.48 + t^8.53 + t^8.7 + 2*t^8.73 + t^8.75 + 2*t^8.78 - 3*t^8.8 - 2*t^8.85 - t^4.07/y - t^6.15/y - t^6.2/y + t^7.21/y + t^7.88/y + (2*t^7.93)/y + t^7.98/y - t^8.23/y - t^8.28/y - t^8.33/y + t^8.9/y + (2*t^8.93)/y + (2*t^8.95)/y + (4*t^8.98)/y - t^4.07*y - t^6.15*y - t^6.2*y + t^7.21*y + t^7.88*y + 2*t^7.93*y + t^7.98*y - t^8.23*y - t^8.28*y - t^8.33*y + t^8.9*y + 2*t^8.93*y + 2*t^8.95*y + 4*t^8.98*y | (g2^2*t^2.08)/g1^10 + t^2.13/(g1^4*g2^4) + g1^6*g2^6*t^2.8 + (g2^10*t^3.82)/g1^2 + 2*g1*g2^7*t^3.84 + g1^4*g2^4*t^3.87 + 2*g1^7*g2*t^3.89 + (g2^4*t^4.16)/g1^20 + t^4.21/(g1^14*g2^2) + t^4.26/(g1^8*g2^8) + (g2^8*t^4.88)/g1^4 + 2*g1^2*g2^2*t^4.93 + g1^12*g2^12*t^5.61 + (g2^12*t^5.9)/g1^12 + (2*g2^9*t^5.93)/g1^9 + (g2^6*t^5.95)/g1^6 + (2*g2^3*t^5.98)/g1^3 - 2*t^6. - (g1^6*t^6.05)/g2^6 + (g2^6*t^6.25)/g1^30 + t^6.3/g1^24 + t^6.35/(g1^18*g2^6) + t^6.39/(g1^12*g2^12) + g1^4*g2^16*t^6.62 + 2*g1^7*g2^13*t^6.65 + g1^10*g2^10*t^6.67 + 2*g1^13*g2^7*t^6.7 + (g2^10*t^6.97)/g1^14 + (g2^4*t^7.02)/g1^8 - (2*g2*t^7.04)/g1^5 - (2*g1*t^7.09)/g2^5 - (g1^4*t^7.12)/g2^8 + (g2^20*t^7.64)/g1^4 + (2*g2^17*t^7.66)/g1 + 4*g1^2*g2^14*t^7.69 + 2*g1^5*g2^11*t^7.71 + 4*g1^8*g2^8*t^7.74 + 2*g1^14*g2^2*t^7.79 + (g2^14*t^7.98)/g1^22 + (2*g2^11*t^8.01)/g1^19 + (g2^8*t^8.03)/g1^16 + (2*g2^5*t^8.06)/g1^13 - (2*g2^2*t^8.08)/g1^10 - (2*t^8.13)/(g1^4*g2^4) - (g1^2*t^8.18)/g2^10 + (g2^8*t^8.33)/g1^40 + (g2^2*t^8.38)/g1^34 + g1^18*g2^18*t^8.41 + t^8.43/(g1^28*g2^4) + t^8.48/(g1^22*g2^10) + t^8.53/(g1^16*g2^16) + (g2^18*t^8.7)/g1^6 + (2*g2^15*t^8.73)/g1^3 + g2^12*t^8.75 + 2*g1^3*g2^9*t^8.78 - 3*g1^6*g2^6*t^8.8 - 2*g1^12*t^8.85 - t^4.07/(g1^2*g2^2*y) - t^6.15/(g1^12*y) - t^6.2/(g1^6*g2^6*y) + t^7.21/(g1^14*g2^2*y) + (g2^8*t^7.88)/(g1^4*y) + (2*g1^2*g2^2*t^7.93)/y + (g1^8*t^7.98)/(g2^4*y) - (g2^2*t^8.23)/(g1^22*y) - t^8.28/(g1^16*g2^4*y) - t^8.33/(g1^10*g2^10*y) + (g2^12*t^8.9)/(g1^12*y) + (2*g2^9*t^8.93)/(g1^9*y) + (2*g2^6*t^8.95)/(g1^6*y) + (4*g2^3*t^8.98)/(g1^3*y) - (t^4.07*y)/(g1^2*g2^2) - (t^6.15*y)/g1^12 - (t^6.2*y)/(g1^6*g2^6) + (t^7.21*y)/(g1^14*g2^2) + (g2^8*t^7.88*y)/g1^4 + 2*g1^2*g2^2*t^7.93*y + (g1^8*t^7.98*y)/g2^4 - (g2^2*t^8.23*y)/g1^22 - (t^8.28*y)/(g1^16*g2^4) - (t^8.33*y)/(g1^10*g2^10) + (g2^12*t^8.9*y)/g1^12 + (2*g2^9*t^8.93*y)/g1^9 + (2*g2^6*t^8.95*y)/g1^6 + (4*g2^3*t^8.98*y)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
96 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ | 0.5776 | 0.6992 | 0.8261 | [X:[], M:[1.0], q:[0.8055, 0.8055], qb:[0.3055, 0.5273], phi:[0.3891]] | t^2.33 + t^2.5 + t^3. + 2*t^3.33 + t^3.67 + 2*t^4. + t^4.33 + t^4.67 + 2*t^4.83 + t^5. + t^5.5 + 2*t^5.83 - t^6. - t^4.17/y - t^4.17*y | detail | |
97 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_2\phi_1\tilde{q}_2^2$ | 0.6484 | 0.7953 | 0.8152 | [X:[], M:[0.7026, 0.7026], q:[0.8244, 0.8244], qb:[0.4731, 0.4731], phi:[0.3513]] | 3*t^2.11 + t^2.84 + 5*t^3.89 + 6*t^4.22 + 4*t^4.95 + t^5.68 + 6*t^6. - t^4.05/y - t^4.05*y | detail | |
95 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ \phi_1\tilde{q}_2^2$ + $ \phi_1^2X_1$ | 0.4583 | 0.5 | 0.9167 | [X:[1.5556], M:[0.8889], q:[0.8889, 0.8889], qb:[0.4444, 0.8889], phi:[0.2222]] | t^2.67 + 3*t^4. + t^4.67 + t^5.33 - 4*t^6. - t^3.67/y - t^3.67*y | detail | {a: 11/24, c: 1/2, X1: 14/9, M1: 8/9, q1: 8/9, q2: 8/9, qb1: 4/9, qb2: 8/9, phi1: 2/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
55723 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ q_2q_3$ + $ q_3\tilde{q}_1$ + $ M_1\tilde{q}_1\tilde{q}_2$ | 0.6281 | 0.7582 | 0.8284 | [X:[], M:[0.6941], q:[0.81, 0.8347, 1.1653], qb:[0.8347, 0.4712, 0.463], phi:[0.3553]] | t^2.08 + t^2.13 + t^2.8 + t^3.82 + 2*t^3.84 + t^3.87 + 2*t^3.89 + t^4.16 + t^4.21 + t^4.26 + t^4.88 + 2*t^4.93 + t^5.61 + t^5.9 + 2*t^5.93 + t^5.95 + 2*t^5.98 - 2*t^6. - t^4.07/y - t^4.07*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
43 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ | 0.6076 | 0.7195 | 0.8446 | [X:[], M:[], q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]] | t^2.15 + t^2.78 + 7*t^3.85 + t^4.29 + 2*t^4.93 + t^5.56 - 2*t^6. - t^4.07/y - t^4.07*y | detail |