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 |
---|---|---|---|---|---|---|---|---|---|
46050 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ | 0.7051 | 0.8546 | 0.8251 | [X:[], M:[0.9277, 1.0, 1.0], q:[0.6084, 0.4639], qb:[0.5361, 0.5361], phi:[0.4639]] | [X:[], M:[[-2, -2], [-1, 1], [1, -1]], q:[[3, 3], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \phi_1^2$, $ M_3$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$ | $M_2^2$, $ M_3^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | -1 | 2*t^2.78 + 2*t^3. + t^3.22 + 2*t^3.43 + t^4.17 + 2*t^4.39 + 4*t^4.61 + 2*t^4.83 + t^5.04 + 2*t^5.57 - t^6. + 2*t^6.22 + 3*t^6.43 + 2*t^6.65 + 3*t^6.87 + t^6.96 + 2*t^7.17 + 6*t^7.39 + 6*t^7.61 + 4*t^7.83 + 6*t^8.04 + 3*t^8.26 + 4*t^8.35 + 2*t^8.48 - 3*t^8.78 - t^4.39/y - (2*t^7.17)/y + (2*t^7.61)/y + t^8.57/y + (4*t^8.78)/y - t^4.39*y - 2*t^7.17*y + 2*t^7.61*y + t^8.57*y + 4*t^8.78*y | (2*t^2.78)/(g1^2*g2^2) + (g1*t^3.)/g2 + (g2*t^3.)/g1 + g1^2*g2^2*t^3.22 + g1^5*g2^3*t^3.43 + g1^3*g2^5*t^3.43 + t^4.17/(g1^3*g2^3) + t^4.39/g1^2 + t^4.39/g2^2 + (g1^3*t^4.61)/g2 + 2*g1*g2*t^4.61 + (g2^3*t^4.61)/g1 + g1^4*g2^2*t^4.83 + g1^2*g2^4*t^4.83 + g1^5*g2^5*t^5.04 + (2*t^5.57)/(g1^4*g2^4) - t^6. + g1^3*g2*t^6.22 + g1*g2^3*t^6.22 + g1^6*g2^2*t^6.43 + g1^4*g2^4*t^6.43 + g1^2*g2^6*t^6.43 + g1^7*g2^5*t^6.65 + g1^5*g2^7*t^6.65 + g1^10*g2^6*t^6.87 + g1^8*g2^8*t^6.87 + g1^6*g2^10*t^6.87 + t^6.96/(g1^5*g2^5) + t^7.17/(g1^2*g2^4) + t^7.17/(g1^4*g2^2) + (2*g1*t^7.39)/g2^3 + (2*t^7.39)/(g1*g2) + (2*g2*t^7.39)/g1^3 + 2*g1^2*t^7.61 + (g1^4*t^7.61)/g2^2 + 2*g2^2*t^7.61 + (g2^4*t^7.61)/g1^2 + g1^5*g2*t^7.83 + 2*g1^3*g2^3*t^7.83 + g1*g2^5*t^7.83 + g1^8*g2^2*t^8.04 + 2*g1^6*g2^4*t^8.04 + 2*g1^4*g2^6*t^8.04 + g1^2*g2^8*t^8.04 + g1^9*g2^5*t^8.26 + g1^7*g2^7*t^8.26 + g1^5*g2^9*t^8.26 + (4*t^8.35)/(g1^6*g2^6) + g1^10*g2^8*t^8.48 + g1^8*g2^10*t^8.48 - (3*t^8.78)/(g1^2*g2^2) - t^4.39/(g1*g2*y) - (2*t^7.17)/(g1^3*g2^3*y) + (2*g1*g2*t^7.61)/y + t^8.57/(g1^4*g2^4*y) + (2*t^8.78)/(g1*g2^3*y) + (2*t^8.78)/(g1^3*g2*y) - (t^4.39*y)/(g1*g2) - (2*t^7.17*y)/(g1^3*g2^3) + 2*g1*g2*t^7.61*y + (t^8.57*y)/(g1^4*g2^4) + (2*t^8.78*y)/(g1*g2^3) + (2*t^8.78*y)/(g1^3*g2) |
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 |
---|---|---|---|---|---|---|---|---|
46214 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9045, 1.0186, 0.9814, 0.7904], q:[0.6433, 0.4522], qb:[0.5292, 0.5663], phi:[0.4522]] | t^2.37 + 2*t^2.71 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.07 + t^4.3 + t^4.41 + t^4.53 + 2*t^4.64 + t^4.74 + t^4.75 + t^4.87 + t^4.99 + 2*t^5.08 + t^5.22 + t^5.32 + 3*t^5.43 + t^5.66 + t^5.89 - t^6. - t^4.36/y - t^4.36*y | detail | |
46307 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1q_1\tilde{q}_2$ | 0.6178 | 0.7527 | 0.8207 | [X:[], M:[0.7725, 1.1587, 0.8413], q:[0.8413, 0.3862], qb:[0.455, 0.7725], phi:[0.3862]] | 2*t^2.32 + t^2.52 + 2*t^3.48 + 2*t^3.68 + 2*t^3.89 + 3*t^4.63 + 3*t^4.84 + t^5.05 + 2*t^5.79 + t^6. - t^4.16/y - t^4.16*y | detail | |
46273 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1q_1^2$ | 0.6675 | 0.805 | 0.8292 | [X:[], M:[0.8, 1.0, 1.0], q:[0.8, 0.4], qb:[0.6, 0.6], phi:[0.4]] | 2*t^2.4 + 2*t^3. + 2*t^3.6 + 4*t^4.2 + 6*t^4.8 + 2*t^5.4 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 267/400, c: 161/200, M1: 4/5, M2: 1, M3: 1, q1: 4/5, q2: 2/5, qb1: 3/5, qb2: 3/5, phi1: 2/5} |
46123 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ | 0.6277 | 0.7724 | 0.8127 | [X:[], M:[0.8767, 1.2192, 0.7808], q:[0.6849, 0.4384], qb:[0.3425, 0.7808], phi:[0.4384]] | t^2.34 + 2*t^2.63 + t^3.08 + 2*t^3.37 + 2*t^3.66 + t^3.95 + 2*t^4.4 + 2*t^4.68 + t^4.97 + 2*t^5.26 + 2*t^5.42 + 3*t^5.71 + 2*t^6. - t^4.32/y - t^4.32*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 |
---|---|---|---|---|---|---|---|---|---|
45875 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ | 0.7566 | 0.9235 | 0.8193 | [X:[], M:[0.7979, 0.7634, 0.7634], q:[0.5665, 0.6356], qb:[0.601, 0.601], phi:[0.399]] | 2*t^2.29 + 2*t^2.39 + 2*t^3.5 + t^3.61 + 3*t^4.58 + t^4.6 + 4*t^4.68 + 2*t^4.7 + 3*t^4.79 + 4*t^4.8 + 2*t^4.91 + t^5.01 + 3*t^5.79 + 2*t^5.9 - 4*t^6. - t^4.2/y - t^4.2*y | detail |