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 |
---|---|---|---|---|---|---|---|---|---|
46393 | 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6384 | 0.7923 | 0.8057 | [X:[], M:[0.7685, 1.1527, 0.8473, 0.6897], q:[0.8473, 0.3842], qb:[0.463, 0.7685], phi:[0.3842]] | [X:[], M:[[2], [3], [-3], [7]], q:[[-3], [1]], qb:[[-4], [2]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_1$, $ \phi_1^2$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_4^2$, $ M_1M_4$, $ M_4\phi_1^2$, $ M_1^2$, $ M_3M_4$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_3\phi_1^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ M_1M_2$, $ M_2\phi_1^2$, $ \phi_1^3q_2^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$ | $M_3\phi_1q_2^2$, $ M_4q_1\tilde{q}_1$, $ M_1\tilde{q}_1\tilde{q}_2$ | 2 | t^2.07 + 2*t^2.31 + t^2.54 + 2*t^3.46 + 2*t^3.69 + t^3.93 + t^4.14 + 2*t^4.37 + 4*t^4.61 + 3*t^4.85 + t^5.08 + 2*t^5.53 + 4*t^5.76 + 2*t^6. + t^6.21 + 2*t^6.24 + 2*t^6.44 + t^6.47 + 4*t^6.68 + 8*t^6.92 + 4*t^7.15 + t^7.39 + 2*t^7.6 + t^7.63 + 4*t^7.83 + t^7.86 + 4*t^8.07 + t^8.28 + t^8.31 + 2*t^8.51 - t^8.54 + 4*t^8.75 + t^8.78 + 8*t^8.99 - t^4.15/y - t^6.22/y - (2*t^6.46)/y + (2*t^7.37)/y + (2*t^7.61)/y + (4*t^7.85)/y + t^8.08/y - t^8.29/y + (3*t^8.76)/y - t^4.15*y - t^6.22*y - 2*t^6.46*y + 2*t^7.37*y + 2*t^7.61*y + 4*t^7.85*y + t^8.08*y - t^8.29*y + 3*t^8.76*y | g1^7*t^2.07 + 2*g1^2*t^2.31 + t^2.54/g1^3 + 2*g1^3*t^3.46 + (2*t^3.69)/g1^2 + t^3.93/g1^7 + g1^14*t^4.14 + 2*g1^9*t^4.37 + 4*g1^4*t^4.61 + (3*t^4.85)/g1 + t^5.08/g1^6 + 2*g1^10*t^5.53 + 4*g1^5*t^5.76 + 2*t^6. + g1^21*t^6.21 + (2*t^6.24)/g1^5 + 2*g1^16*t^6.44 + t^6.47/g1^10 + 4*g1^11*t^6.68 + 8*g1^6*t^6.92 + 4*g1*t^7.15 + t^7.39/g1^4 + 2*g1^17*t^7.6 + t^7.63/g1^9 + 4*g1^12*t^7.83 + t^7.86/g1^14 + 4*g1^7*t^8.07 + g1^28*t^8.28 + g1^2*t^8.31 + 2*g1^23*t^8.51 - t^8.54/g1^3 + 4*g1^18*t^8.75 + t^8.78/g1^8 + 8*g1^13*t^8.99 - (g1*t^4.15)/y - (g1^8*t^6.22)/y - (2*g1^3*t^6.46)/y + (2*g1^9*t^7.37)/y + (2*g1^4*t^7.61)/y + (4*t^7.85)/(g1*y) + t^8.08/(g1^6*y) - (g1^15*t^8.29)/y + (3*g1^5*t^8.76)/y - g1*t^4.15*y - g1^8*t^6.22*y - 2*g1^3*t^6.46*y + 2*g1^9*t^7.37*y + 2*g1^4*t^7.61*y + (4*t^7.85*y)/g1 + (t^8.08*y)/g1^6 - g1^15*t^8.29*y + 3*g1^5*t^8.76*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 |
---|---|---|---|---|---|---|---|---|
46889 | $M_1q_1q_2$ + $ \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$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4^2$ | 0.5751 | 0.7179 | 0.801 | [X:[], M:[0.8571, 1.2857, 0.7143, 1.0], q:[0.7143, 0.4286], qb:[0.2857, 0.8571], phi:[0.4286]] | t^2.14 + 2*t^2.57 + 2*t^3. + 2*t^3.43 + 2*t^3.86 + t^4.29 + 3*t^4.71 + 5*t^5.14 + 4*t^5.57 + 4*t^6. - t^4.29/y - t^4.29*y | detail | {a: 789/1372, c: 985/1372, M1: 6/7, M2: 9/7, M3: 5/7, M4: 1, q1: 5/7, q2: 3/7, qb1: 2/7, qb2: 6/7, phi1: 3/7} |
48240 | $M_1q_1q_2$ + $ \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$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5q_1\tilde{q}_1$ | 0.6591 | 0.8331 | 0.7912 | [X:[], M:[0.7667, 1.15, 0.85, 0.6833, 0.6833], q:[0.85, 0.3833], qb:[0.4667, 0.7667], phi:[0.3833]] | 2*t^2.05 + 2*t^2.3 + t^2.55 + 2*t^3.45 + 2*t^3.7 + 3*t^4.1 + 4*t^4.35 + 5*t^4.6 + 3*t^4.85 + t^5.1 + 4*t^5.5 + 6*t^5.75 + t^6. - t^4.15/y - t^4.15*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 |
---|---|---|---|---|---|---|---|---|---|
46307 | 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$ + $ \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 |