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 |
---|---|---|---|---|---|---|---|---|---|
918 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4^2$ | 0.7194 | 0.8833 | 0.8145 | [X:[], M:[1.0, 0.8377, 0.8377, 1.0, 1.0], q:[0.5812, 0.4188], qb:[0.5812, 0.5812], phi:[0.4594]] | [X:[], M:[[0], [-4], [-4], [0], [0]], q:[[2], [-2]], qb:[[2], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ \phi_1^2$, $ M_1$, $ M_4$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_1M_2$, $ M_1M_3$, $ M_2M_4$, $ M_3M_4$, $ M_2M_5$, $ M_3M_5$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$ | $M_1M_4$, $ M_1M_5$, $ M_4M_5$, $ M_3q_1\tilde{q}_2$ | -2 | 2*t^2.51 + t^2.76 + 3*t^3. + t^3.49 + t^3.89 + 3*t^4.38 + 6*t^4.87 + 3*t^5.03 + 2*t^5.27 + 4*t^5.51 + 3*t^5.76 - 2*t^6. + t^6.24 + 2*t^6.4 - t^6.49 + t^6.65 + 6*t^6.89 + t^6.97 + 2*t^7.13 + 10*t^7.38 + 4*t^7.54 + 3*t^7.62 + 4*t^7.78 + 9*t^7.87 + 5*t^8.03 - 6*t^8.11 + 7*t^8.27 + 3*t^8.35 - 5*t^8.51 + 4*t^8.76 + 3*t^8.92 - t^4.38/y - (2*t^6.89)/y - t^7.13/y + t^7.62/y + (2*t^7.87)/y + t^8.03/y + (2*t^8.27)/y + (6*t^8.51)/y + (3*t^8.76)/y - t^4.38*y - 2*t^6.89*y - t^7.13*y + t^7.62*y + 2*t^7.87*y + t^8.03*y + 2*t^8.27*y + 6*t^8.51*y + 3*t^8.76*y | (2*t^2.51)/g1^4 + t^2.76/g1^2 + 3*t^3. + g1^4*t^3.49 + t^3.89/g1^5 + (3*t^4.38)/g1 + 6*g1^3*t^4.87 + (3*t^5.03)/g1^8 + (2*t^5.27)/g1^6 + (4*t^5.51)/g1^4 + (3*t^5.76)/g1^2 - 2*t^6. + g1^2*t^6.24 + (2*t^6.4)/g1^9 - g1^4*t^6.49 + t^6.65/g1^7 + (6*t^6.89)/g1^5 + g1^8*t^6.97 + (2*t^7.13)/g1^3 + (10*t^7.38)/g1 + (4*t^7.54)/g1^12 + 3*g1*t^7.62 + (4*t^7.78)/g1^10 + 9*g1^3*t^7.87 + (5*t^8.03)/g1^8 - 6*g1^5*t^8.11 + (7*t^8.27)/g1^6 + 3*g1^7*t^8.35 - (5*t^8.51)/g1^4 + (4*t^8.76)/g1^2 + (3*t^8.92)/g1^13 - t^4.38/(g1*y) - (2*t^6.89)/(g1^5*y) - t^7.13/(g1^3*y) + (g1*t^7.62)/y + (2*g1^3*t^7.87)/y + t^8.03/(g1^8*y) + (2*t^8.27)/(g1^6*y) + (6*t^8.51)/(g1^4*y) + (3*t^8.76)/(g1^2*y) - (t^4.38*y)/g1 - (2*t^6.89*y)/g1^5 - (t^7.13*y)/g1^3 + g1*t^7.62*y + 2*g1^3*t^7.87*y + (t^8.03*y)/g1^8 + (2*t^8.27*y)/g1^6 + (6*t^8.51*y)/g1^4 + (3*t^8.76*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
1406 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4^2$ + $ M_6\phi_1q_2^2$ | 0.74 | 0.9227 | 0.802 | [X:[], M:[1.0, 0.8456, 0.8456, 1.0, 1.0, 0.693], q:[0.5772, 0.4228], qb:[0.5772, 0.5772], phi:[0.4614]] | t^2.08 + 2*t^2.54 + t^2.77 + 3*t^3. + t^3.46 + t^4.16 + 3*t^4.38 + 2*t^4.62 + 7*t^4.85 + 3*t^5.07 + 3*t^5.08 + 2*t^5.31 + 5*t^5.54 + 3*t^5.77 - 2*t^6. - t^4.38/y - t^4.38*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 |
---|---|---|---|---|---|---|---|---|---|
588 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ | 0.7293 | 0.896 | 0.8139 | [X:[], M:[1.0, 0.7765, 0.8995, 0.877, 1.0], q:[0.5503, 0.4497], qb:[0.5503, 0.6733], phi:[0.4441]] | t^2.33 + t^2.63 + t^2.66 + t^2.7 + 2*t^3. + t^3.67 + t^4.03 + 2*t^4.33 + 3*t^4.63 + t^4.66 + t^4.7 + t^4.96 + t^4.99 + 2*t^5. + t^5.03 + t^5.26 + t^5.3 + 3*t^5.33 + t^5.36 + t^5.37 + t^5.4 + 2*t^5.66 - 2*t^6. - t^4.33/y - t^4.33*y | detail |