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 |
---|---|---|---|---|---|---|---|---|---|
55333 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_1q_2$ | 0.6095 | 0.769 | 0.7926 | [X:[1.3682], M:[1.2239, 1.0, 0.7761, 0.6318, 0.6716, 0.8159], q:[0.3159, 0.4602], qb:[0.6841, 0.908], phi:[0.408]] | [X:[[4]], M:[[-3], [0], [3], [-4], [-9], [-2]], q:[[-2], [5]], qb:[[2], [-1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_2$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ M_1$, $ M_5^2$, $ X_1$, $ M_3M_5$, $ M_5M_6$, $ M_5\phi_1^2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_6$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_5$, $ M_5\phi_1q_1^2$, $ M_2M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_6\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ M_1M_5$, $ M_3q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$ | . | -1 | t^2.01 + t^2.33 + 2*t^2.45 + t^3. + t^3.12 + t^3.43 + t^3.67 + t^4.03 + t^4.1 + t^4.34 + 2*t^4.46 + t^4.66 + 3*t^4.78 + 3*t^4.9 + t^5.01 + t^5.13 + t^5.33 + 3*t^5.45 + t^5.57 + t^5.69 + t^5.76 + t^5.88 - t^6. + t^6.04 + 3*t^6.12 + t^6.24 + t^6.36 + t^6.43 + 2*t^6.48 + t^6.55 + 3*t^6.79 + t^6.87 + 3*t^6.91 + t^7.03 + t^7.1 + t^7.15 + 3*t^7.22 + 5*t^7.34 + 3*t^7.46 + t^7.58 - t^7.66 + t^7.7 + 3*t^7.78 + 3*t^7.9 + t^8.06 + t^8.09 + 3*t^8.13 + 2*t^8.21 + t^8.25 - 2*t^8.33 + t^8.37 - t^8.45 + 2*t^8.49 + 3*t^8.57 + t^8.69 + 3*t^8.81 + 3*t^8.92 - t^4.22/y - t^6.24/y - (2*t^6.67)/y + t^7.34/y + (2*t^7.46)/y + (4*t^7.78)/y + t^7.9/y + t^8.01/y + t^8.13/y + t^8.21/y - t^8.25/y + t^8.33/y + (4*t^8.45)/y + (2*t^8.57)/y - t^8.69/y + t^8.76/y + (2*t^8.88)/y - t^4.22*y - t^6.24*y - 2*t^6.67*y + t^7.34*y + 2*t^7.46*y + 4*t^7.78*y + t^7.9*y + t^8.01*y + t^8.13*y + t^8.21*y - t^8.25*y + t^8.33*y + 4*t^8.45*y + 2*t^8.57*y - t^8.69*y + t^8.76*y + 2*t^8.88*y | t^2.01/g1^9 + g1^3*t^2.33 + (2*t^2.45)/g1^2 + t^3. + t^3.12/g1^5 + g1^7*t^3.43 + t^3.67/g1^3 + t^4.03/g1^18 + g1^4*t^4.1 + t^4.34/g1^6 + (2*t^4.46)/g1^11 + g1^6*t^4.66 + 3*g1*t^4.78 + (3*t^4.9)/g1^4 + t^5.01/g1^9 + t^5.13/g1^14 + g1^3*t^5.33 + (3*t^5.45)/g1^2 + t^5.57/g1^7 + t^5.69/g1^12 + g1^10*t^5.76 + g1^5*t^5.88 - t^6. + t^6.04/g1^27 + (3*t^6.12)/g1^5 + t^6.24/g1^10 + t^6.36/g1^15 + g1^7*t^6.43 + (2*t^6.48)/g1^20 + g1^2*t^6.55 + (3*t^6.79)/g1^8 + g1^14*t^6.87 + (3*t^6.91)/g1^13 + t^7.03/g1^18 + g1^4*t^7.1 + t^7.15/g1^23 + (3*t^7.22)/g1 + (5*t^7.34)/g1^6 + (3*t^7.46)/g1^11 + t^7.58/g1^16 - g1^6*t^7.66 + t^7.7/g1^21 + 3*g1*t^7.78 + (3*t^7.9)/g1^4 + t^8.06/g1^36 + g1^13*t^8.09 + (3*t^8.13)/g1^14 + 2*g1^8*t^8.21 + t^8.25/g1^19 - 2*g1^3*t^8.33 + t^8.37/g1^24 - t^8.45/g1^2 + (2*t^8.49)/g1^29 + (3*t^8.57)/g1^7 + t^8.69/g1^12 + (3*t^8.81)/g1^17 + (3*t^8.92)/g1^22 - t^4.22/(g1*y) - t^6.24/(g1^10*y) - (2*t^6.67)/(g1^3*y) + t^7.34/(g1^6*y) + (2*t^7.46)/(g1^11*y) + (4*g1*t^7.78)/y + t^7.9/(g1^4*y) + t^8.01/(g1^9*y) + t^8.13/(g1^14*y) + (g1^8*t^8.21)/y - t^8.25/(g1^19*y) + (g1^3*t^8.33)/y + (4*t^8.45)/(g1^2*y) + (2*t^8.57)/(g1^7*y) - t^8.69/(g1^12*y) + (g1^10*t^8.76)/y + (2*g1^5*t^8.88)/y - (t^4.22*y)/g1 - (t^6.24*y)/g1^10 - (2*t^6.67*y)/g1^3 + (t^7.34*y)/g1^6 + (2*t^7.46*y)/g1^11 + 4*g1*t^7.78*y + (t^7.9*y)/g1^4 + (t^8.01*y)/g1^9 + (t^8.13*y)/g1^14 + g1^8*t^8.21*y - (t^8.25*y)/g1^19 + g1^3*t^8.33*y + (4*t^8.45*y)/g1^2 + (2*t^8.57*y)/g1^7 - (t^8.69*y)/g1^12 + g1^10*t^8.76*y + 2*g1^5*t^8.88*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 |
---|---|---|---|---|---|---|---|---|
56948 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_1M_7$ | 0.6274 | 0.8007 | 0.7836 | [X:[1.3627], M:[1.228, 1.0, 0.772, 0.6373, 0.684, 0.8187, 0.772], q:[0.3187, 0.4533], qb:[0.6813, 0.9093], phi:[0.4093]] | t^2.05 + 2*t^2.32 + 2*t^2.46 + t^3. + t^3.14 + t^3.4 + t^4.09 + t^4.1 + 2*t^4.37 + 2*t^4.51 + 3*t^4.63 + 5*t^4.77 + 3*t^4.91 + t^5.05 + t^5.19 + 2*t^5.32 + 4*t^5.46 + t^5.6 + 2*t^5.72 + t^5.86 - 2*t^6. - t^4.23/y - t^4.23*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 |
---|---|---|---|---|---|---|---|---|---|
46972 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_2^2$ | 0.5941 | 0.7418 | 0.8009 | [X:[1.3633], M:[1.2275, 1.0, 0.7725, 0.6367, 0.6825], q:[0.3183, 0.4541], qb:[0.6817, 0.9092], phi:[0.4092]] | t^2.05 + t^2.32 + t^2.46 + t^3. + t^3.14 + t^3.41 + t^3.54 + t^3.68 + t^4.09 + t^4.1 + t^4.37 + t^4.5 + t^4.63 + 2*t^4.77 + t^4.91 + t^5.05 + t^5.19 + t^5.32 + 2*t^5.46 + t^5.59 + t^5.72 + t^5.73 + t^5.86 - t^4.23/y - t^4.23*y | detail |