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 |
---|---|---|---|---|---|---|---|---|---|
2881 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_3X_1$ + $ M_2M_6$ | 0.6497 | 0.8094 | 0.8027 | [X:[1.6113], M:[0.7774, 1.166, 0.3887, 0.834, 0.7774, 0.834], q:[0.4453, 0.7774], qb:[0.3887, 0.834], phi:[0.3887]] | [X:[[1]], M:[[-2], [-3], [-1], [3], [-2], [3]], q:[[4], [-2]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_5$, $ \phi_1^2$, $ M_4$, $ M_6$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_4$, $ M_4M_5$, $ M_1M_6$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$ | $M_5\phi_1q_1\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$ | 0 | 3*t^2.33 + 2*t^2.5 + t^3.5 + t^3.67 + 2*t^3.84 + 6*t^4.66 + 7*t^4.83 + 3*t^5. + t^5.83 + 6*t^6.17 + 4*t^6.34 + 9*t^7. + 10*t^7.17 + 7*t^7.34 + 4*t^7.51 + 3*t^7.68 - 7*t^8.33 + 2*t^8.5 + 11*t^8.67 + 6*t^8.84 - t^4.17/y - (3*t^6.5)/y - t^6.67/y + (4*t^7.66)/y + (9*t^7.83)/y + t^8./y - (3*t^8.83)/y - t^4.17*y - 3*t^6.5*y - t^6.67*y + 4*t^7.66*y + 9*t^7.83*y + t^8.*y - 3*t^8.83*y | (3*t^2.33)/g1^2 + 2*g1^3*t^2.5 + t^3.5/g1^3 + g1^2*t^3.67 + 2*g1^7*t^3.84 + (6*t^4.66)/g1^4 + 7*g1*t^4.83 + 3*g1^6*t^5. + t^5.83/g1^5 + 6*g1^5*t^6.17 + 4*g1^10*t^6.34 + (9*t^7.)/g1^6 + (10*t^7.17)/g1 + 7*g1^4*t^7.34 + 4*g1^9*t^7.51 + 3*g1^14*t^7.68 - (7*t^8.33)/g1^2 + 2*g1^3*t^8.5 + 11*g1^8*t^8.67 + 6*g1^13*t^8.84 - t^4.17/(g1*y) - (3*t^6.5)/(g1^3*y) - (g1^2*t^6.67)/y + (4*t^7.66)/(g1^4*y) + (9*g1*t^7.83)/y + (g1^6*t^8.)/y - (3*t^8.83)/(g1^5*y) - (t^4.17*y)/g1 - (3*t^6.5*y)/g1^3 - g1^2*t^6.67*y + (4*t^7.66*y)/g1^4 + 9*g1*t^7.83*y + g1^6*t^8.*y - (3*t^8.83*y)/g1^5 |
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 |
---|
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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
1868 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_3X_1$ | 0.6359 | 0.7849 | 0.8102 | [X:[1.616], M:[0.7681, 1.1521, 0.384, 0.8479, 0.7681], q:[0.4639, 0.7681], qb:[0.384, 0.8479], phi:[0.384]] | 3*t^2.3 + t^2.54 + 2*t^3.46 + t^3.7 + 2*t^3.94 + 6*t^4.61 + 4*t^4.85 + t^5.09 + 4*t^5.76 - t^4.15/y - t^4.15*y | detail |