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 |
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46042 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ | 0.588 | 0.713 | 0.8247 | [X:[], M:[1.0, 0.8478], q:[0.837, 0.7935], qb:[0.3152, 0.5761], phi:[0.3696]] | [X:[], M:[[0], [-10]], q:[[9], [-7]], qb:[[1], [5]], phi:[[-2]]] | 1 | {a: 1731/2944, c: 2099/2944, M1: 1, M2: 39/46, q1: 77/92, q2: 73/92, qb1: 29/92, qb2: 53/92, phi1: 17/46} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1\tilde{q}_2^2$, $ M_2\phi_1^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1\phi_1^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_2q_2\tilde{q}_1$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | 0 | t^2.22 + t^2.54 + t^2.67 + t^3. + t^3.33 + t^3.78 + t^4.11 + t^4.24 + t^4.43 + t^4.57 + t^4.76 + 2*t^4.89 + t^5.09 + t^5.22 + t^5.35 + t^5.54 + t^5.87 + t^6.33 + t^6.46 + 2*t^6.65 + t^6.78 + t^6.91 + t^6.98 + 2*t^7.11 + t^7.24 + t^7.3 + 2*t^7.43 + t^7.57 + t^7.63 + t^7.76 + t^8.02 + t^8.09 + t^8.41 + t^8.48 - t^8.54 - t^8.67 + t^8.8 + 2*t^8.87 - t^4.11/y - t^6.33/y - t^6.65/y + t^7.57/y + t^7.76/y + (2*t^7.89)/y + (2*t^8.22)/y + t^8.54/y + t^8.67/y - t^4.11*y - t^6.33*y - t^6.65*y + t^7.57*y + t^7.76*y + 2*t^7.89*y + 2*t^8.22*y + t^8.54*y + t^8.67*y | t^2.22/g1^4 + t^2.54/g1^10 + g1^6*t^2.67 + t^3. + t^3.33/g1^6 + g1^4*t^3.78 + t^4.11/g1^2 + g1^14*t^4.24 + t^4.43/g1^8 + g1^8*t^4.57 + t^4.76/g1^14 + 2*g1^2*t^4.89 + t^5.09/g1^20 + t^5.22/g1^4 + g1^12*t^5.35 + t^5.54/g1^10 + t^5.87/g1^16 + t^6.33/g1^6 + g1^10*t^6.46 + (2*t^6.65)/g1^12 + g1^4*t^6.78 + g1^20*t^6.91 + t^6.98/g1^18 + (2*t^7.11)/g1^2 + g1^14*t^7.24 + t^7.3/g1^24 + (2*t^7.43)/g1^8 + g1^8*t^7.57 + t^7.63/g1^30 + t^7.76/g1^14 + g1^18*t^8.02 + t^8.09/g1^20 + t^8.41/g1^26 + g1^28*t^8.48 - t^8.54/g1^10 - g1^6*t^8.67 + g1^22*t^8.8 + (2*t^8.87)/g1^16 - t^4.11/(g1^2*y) - t^6.33/(g1^6*y) - t^6.65/(g1^12*y) + (g1^8*t^7.57)/y + t^7.76/(g1^14*y) + (2*g1^2*t^7.89)/y + (2*t^8.22)/(g1^4*y) + t^8.54/(g1^10*y) + (g1^6*t^8.67)/y - (t^4.11*y)/g1^2 - (t^6.33*y)/g1^6 - (t^6.65*y)/g1^12 + g1^8*t^7.57*y + (t^7.76*y)/g1^14 + 2*g1^2*t^7.89*y + (2*t^8.22*y)/g1^4 + (t^8.54*y)/g1^10 + g1^6*t^8.67*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 |
---|---|---|---|---|---|---|---|---|
46261 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_1M_2$ | 0.57 | 0.695 | 0.8201 | [X:[], M:[1.0, 1.0], q:[0.7, 0.9], qb:[0.3, 0.5], phi:[0.4]] | 2*t^2.4 + 2*t^3. + 3*t^3.6 + 2*t^4.2 + 4*t^4.8 + 2*t^5.4 + 4*t^6. - t^4.2/y - t^4.2*y | detail | {a: 57/100, c: 139/200, M1: 1, M2: 1, q1: 7/10, q2: 9/10, qb1: 3/10, qb2: 1/2, phi1: 2/5} |
46174 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\phi_1^2$ | 0.5204 | 0.6454 | 0.8063 | [X:[], M:[1.0, 1.1429], q:[0.5714, 1.0], qb:[0.2857, 0.4286], phi:[0.4286]] | t^2.14 + t^2.57 + 2*t^3. + 2*t^3.43 + 2*t^3.86 + 2*t^4.29 + 2*t^4.71 + 2*t^5.14 + 2*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 51/98, c: 253/392, M1: 1, M2: 8/7, q1: 4/7, q2: 1, qb1: 2/7, qb2: 3/7, phi1: 3/7} |
46081 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6075 | 0.749 | 0.8111 | [X:[], M:[1.0, 0.8389, 0.7355], q:[0.845, 0.7872], qb:[0.3161, 0.5806], phi:[0.3678]] | 2*t^2.21 + t^2.52 + t^2.69 + t^3. + t^3.31 + t^4.1 + t^4.28 + 3*t^4.41 + t^4.59 + 2*t^4.72 + 3*t^4.9 + t^5.03 + 2*t^5.21 + t^5.38 + 2*t^5.52 + t^5.83 - t^6. - t^4.1/y - t^4.1*y | detail | |
46339 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1^2$ | 0.5686 | 0.6775 | 0.8392 | [X:[], M:[1.0, 0.8576, 1.2569], q:[0.8281, 0.8003], qb:[0.3142, 0.5712], phi:[0.3715]] | t^2.57 + t^2.66 + t^3. + t^3.34 + 2*t^3.77 + t^4.11 + t^4.2 + t^4.54 + t^4.89 + t^5.15 + t^5.31 + t^5.92 - t^6. - t^4.11/y - t^4.11*y | detail | |
46308 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ | 0.5986 | 0.7315 | 0.8183 | [X:[], M:[1.0, 0.8788, 0.8727], q:[0.8091, 0.8151], qb:[0.3121, 0.5606], phi:[0.3758]] | t^2.25 + 2*t^2.62 + t^2.64 + t^3. + t^3.75 + t^4.11 + t^4.13 + t^4.49 + t^4.51 + 3*t^4.87 + t^4.89 + 3*t^5.24 + 2*t^5.25 + t^5.27 + t^5.62 - t^6. - t^4.13/y - t^4.13*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 |
---|---|---|---|---|---|---|---|---|---|
45933 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ | 0.5768 | 0.6957 | 0.829 | [X:[], M:[1.0], q:[0.7872, 0.8322], qb:[0.3097, 0.5484], phi:[0.3806]] | t^2.28 + t^2.57 + t^3. + t^3.29 + t^3.43 + t^3.72 + t^4.01 + t^4.14 + t^4.43 + t^4.57 + 2*t^4.86 + t^5.15 + t^5.57 + t^5.87 - t^4.14/y - t^4.14*y | detail |