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 |
---|---|---|---|---|---|---|---|---|---|
55147 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3M_4$ + $ M_4M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_1M_6$ | 0.7042 | 0.8689 | 0.8105 | [X:[], M:[1.0246, 0.8772, 0.9263, 1.0737, 0.9263, 0.9754], q:[0.5123, 0.4632], qb:[0.6105, 0.4632], phi:[0.4877]] | [X:[], M:[[-2], [10], [6], [-6], [6], [2]], q:[[-1], [3]], qb:[[-9], [3]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ M_5$, $ M_6$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_3$, $ M_2M_5$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_3M_6$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_2q_2\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$ | . | -4 | t^2.63 + 2*t^2.78 + 3*t^2.93 + t^3.22 + 3*t^4.24 + 2*t^4.39 + t^4.54 + 2*t^4.68 + t^4.83 + t^5.13 + t^5.26 + 2*t^5.41 + 4*t^5.56 + 5*t^5.71 + 5*t^5.85 - 4*t^6. - t^6.29 - t^6.44 + 3*t^6.87 + 6*t^7.02 + 11*t^7.17 + 4*t^7.32 + 2*t^7.46 + 2*t^7.61 + t^7.9 + 2*t^8.04 + 2*t^8.05 + 4*t^8.19 - t^8.2 + 6*t^8.34 + t^8.35 + 12*t^8.48 + 6*t^8.63 - t^8.78 - 11*t^8.93 - t^4.46/y - t^7.09/y - t^7.24/y - t^7.39/y + t^7.54/y + t^7.68/y + t^7.83/y + (2*t^8.41)/y + (4*t^8.56)/y + (6*t^8.71)/y + (4*t^8.85)/y - t^4.46*y - t^7.09*y - t^7.24*y - t^7.39*y + t^7.54*y + t^7.68*y + t^7.83*y + 2*t^8.41*y + 4*t^8.56*y + 6*t^8.71*y + 4*t^8.85*y | g1^10*t^2.63 + 2*g1^6*t^2.78 + 3*g1^2*t^2.93 + t^3.22/g1^6 + 3*g1^7*t^4.24 + 2*g1^3*t^4.39 + t^4.54/g1 + (2*t^4.68)/g1^5 + t^4.83/g1^9 + t^5.13/g1^17 + g1^20*t^5.26 + 2*g1^16*t^5.41 + 4*g1^12*t^5.56 + 5*g1^8*t^5.71 + 5*g1^4*t^5.85 - 4*t^6. - t^6.29/g1^8 - t^6.44/g1^12 + 3*g1^17*t^6.87 + 6*g1^13*t^7.02 + 11*g1^9*t^7.17 + 4*g1^5*t^7.32 + 2*g1*t^7.46 + (2*t^7.61)/g1^3 + g1^30*t^7.9 + 2*g1^26*t^8.04 + (2*t^8.05)/g1^15 + 4*g1^22*t^8.19 - t^8.2/g1^19 + 6*g1^18*t^8.34 + t^8.35/g1^23 + 12*g1^14*t^8.48 + 6*g1^10*t^8.63 - g1^6*t^8.78 - 11*g1^2*t^8.93 - (g1*t^4.46)/y - (g1^11*t^7.09)/y - (g1^7*t^7.24)/y - (g1^3*t^7.39)/y + t^7.54/(g1*y) + t^7.68/(g1^5*y) + t^7.83/(g1^9*y) + (2*g1^16*t^8.41)/y + (4*g1^12*t^8.56)/y + (6*g1^8*t^8.71)/y + (4*g1^4*t^8.85)/y - g1*t^4.46*y - g1^11*t^7.09*y - g1^7*t^7.24*y - g1^3*t^7.39*y + (t^7.54*y)/g1 + (t^7.68*y)/g1^5 + (t^7.83*y)/g1^9 + 2*g1^16*t^8.41*y + 4*g1^12*t^8.56*y + 6*g1^8*t^8.71*y + 4*g1^4*t^8.85*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 |
---|---|---|---|---|---|---|---|---|
56815 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3M_4$ + $ M_4M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_1M_6$ + $ M_7q_2\tilde{q}_1$ | 0.7118 | 0.8844 | 0.8049 | [X:[], M:[1.0307, 0.8463, 0.9078, 1.0922, 0.9078, 0.9693, 0.9078], q:[0.5154, 0.4539], qb:[0.6383, 0.4539], phi:[0.4846]] | t^2.54 + 3*t^2.72 + 3*t^2.91 + 3*t^4.18 + 2*t^4.36 + t^4.55 + 2*t^4.73 + t^4.91 + t^5.08 + 3*t^5.26 + t^5.28 + 7*t^5.45 + 8*t^5.63 + 4*t^5.82 - 6*t^6. - t^4.45/y - t^4.45*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 |
---|---|---|---|---|---|---|---|---|---|
46900 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3M_4$ + $ M_4M_5$ + $ M_5q_2\tilde{q}_1$ | 0.702 | 0.8645 | 0.812 | [X:[], M:[1.0223, 0.8883, 0.933, 1.067, 0.933], q:[0.5112, 0.4665], qb:[0.6005, 0.4665], phi:[0.4888]] | t^2.66 + 2*t^2.8 + 2*t^2.93 + t^3.07 + t^3.2 + 3*t^4.27 + 2*t^4.4 + t^4.53 + 2*t^4.67 + t^4.8 + t^5.07 + t^5.33 + 2*t^5.46 + 3*t^5.6 + 4*t^5.73 + 4*t^5.87 - 2*t^6. - t^4.47/y - t^4.47*y | detail |