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 |
---|---|---|---|---|---|---|---|---|---|
55545 | 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_3q_1\tilde{q}_2$ + $ M_1M_6$ | 0.7035 | 0.8675 | 0.8109 | [X:[], M:[1.0226, 0.887, 0.9322, 1.0678, 0.9322, 0.9774], q:[0.5565, 0.4209], qb:[0.5565, 0.5113], phi:[0.4887]] | [X:[], M:[[2], [-10], [-6], [6], [-6], [-2]], q:[[5], [-7]], qb:[[5], [1]], 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_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \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_2q_2\tilde{q}_1$, $ M_3M_6$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_6q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$ | $M_5q_1\tilde{q}_2$ | -4 | t^2.66 + 2*t^2.8 + 3*t^2.93 + t^3.2 + t^3.99 + t^4.26 + 2*t^4.4 + t^4.53 + 2*t^4.67 + 3*t^4.81 + t^5.32 + 2*t^5.46 + 4*t^5.59 + 5*t^5.73 + 5*t^5.86 - 4*t^6. - t^6.27 - t^6.41 + t^6.65 + 2*t^6.79 + 4*t^6.92 + t^7.06 + 6*t^7.19 + 6*t^7.33 + 2*t^7.47 + 6*t^7.6 + 5*t^7.74 - 4*t^7.87 + 2*t^7.98 + t^8.01 + 2*t^8.12 + 5*t^8.25 + 7*t^8.39 + 7*t^8.53 + 6*t^8.66 + 2*t^8.8 - 15*t^8.93 - t^4.47/y - t^7.13/y - t^7.26/y - t^7.4/y + t^7.53/y + t^7.67/y + t^7.81/y + (2*t^8.46)/y + (4*t^8.59)/y + (6*t^8.73)/y + (4*t^8.86)/y - t^4.47*y - t^7.13*y - t^7.26*y - t^7.4*y + t^7.53*y + t^7.67*y + t^7.81*y + 2*t^8.46*y + 4*t^8.59*y + 6*t^8.73*y + 4*t^8.86*y | t^2.66/g1^10 + (2*t^2.8)/g1^6 + (3*t^2.93)/g1^2 + g1^6*t^3.2 + t^3.99/g1^15 + t^4.26/g1^7 + (2*t^4.4)/g1^3 + g1*t^4.53 + 2*g1^5*t^4.67 + 3*g1^9*t^4.81 + t^5.32/g1^20 + (2*t^5.46)/g1^16 + (4*t^5.59)/g1^12 + (5*t^5.73)/g1^8 + (5*t^5.86)/g1^4 - 4*t^6. - g1^8*t^6.27 - g1^12*t^6.41 + t^6.65/g1^25 + (2*t^6.79)/g1^21 + (4*t^6.92)/g1^17 + t^7.06/g1^13 + (6*t^7.19)/g1^9 + (6*t^7.33)/g1^5 + (2*t^7.47)/g1 + 6*g1^3*t^7.6 + 5*g1^7*t^7.74 - 4*g1^11*t^7.87 + (2*t^7.98)/g1^30 + g1^15*t^8.01 + (2*t^8.12)/g1^26 + (5*t^8.25)/g1^22 + (7*t^8.39)/g1^18 + (7*t^8.53)/g1^14 + (6*t^8.66)/g1^10 + (2*t^8.8)/g1^6 - (15*t^8.93)/g1^2 - t^4.47/(g1*y) - t^7.13/(g1^11*y) - t^7.26/(g1^7*y) - t^7.4/(g1^3*y) + (g1*t^7.53)/y + (g1^5*t^7.67)/y + (g1^9*t^7.81)/y + (2*t^8.46)/(g1^16*y) + (4*t^8.59)/(g1^12*y) + (6*t^8.73)/(g1^8*y) + (4*t^8.86)/(g1^4*y) - (t^4.47*y)/g1 - (t^7.13*y)/g1^11 - (t^7.26*y)/g1^7 - (t^7.4*y)/g1^3 + g1*t^7.53*y + g1^5*t^7.67*y + g1^9*t^7.81*y + (2*t^8.46*y)/g1^16 + (4*t^8.59*y)/g1^12 + (6*t^8.73*y)/g1^8 + (4*t^8.86*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
57126 | $M_1q_1q_2$ + $ 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_3q_1\tilde{q}_2$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ | 0.7243 | 0.909 | 0.7968 | [X:[], M:[1.0224, 0.8878, 0.9327, 1.0673, 0.9327, 0.9776, 0.6684], q:[0.5561, 0.4214], qb:[0.5561, 0.5112], phi:[0.4888]] | t^2.01 + t^2.66 + 2*t^2.8 + 3*t^2.93 + t^3.2 + t^4.01 + t^4.26 + 2*t^4.4 + t^4.53 + 3*t^4.67 + 5*t^4.8 + 3*t^4.94 + t^5.21 + t^5.33 + 2*t^5.46 + 4*t^5.6 + 5*t^5.73 + 5*t^5.87 - 4*t^6. - t^4.47/y - t^4.47*y | detail | |
57125 | $M_1q_1q_2$ + $ 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_3q_1\tilde{q}_2$ + $ M_1M_6$ + $ M_7q_1\tilde{q}_2$ | 0.7105 | 0.8815 | 0.806 | [X:[], M:[1.0278, 0.8608, 0.9165, 1.0835, 0.9165, 0.9722, 0.9165], q:[0.5696, 0.4026], qb:[0.5696, 0.5139], phi:[0.4861]] | t^2.58 + 3*t^2.75 + 3*t^2.92 + t^3.87 + t^4.21 + 2*t^4.37 + t^4.54 + 2*t^4.71 + 3*t^4.88 + t^5.16 + 3*t^5.33 + 7*t^5.5 + 8*t^5.67 + 4*t^5.83 - 6*t^6. - t^4.46/y - t^4.46*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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
48100 | 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_3q_1\tilde{q}_2$ | 0.7014 | 0.8635 | 0.8123 | [X:[], M:[1.0207, 0.8965, 0.9379, 1.0621, 0.9379], q:[0.5517, 0.4276], qb:[0.5517, 0.5103], phi:[0.4897]] | t^2.69 + 2*t^2.81 + 2*t^2.94 + t^3.06 + t^3.19 + t^4.03 + t^4.28 + 2*t^4.41 + t^4.53 + 2*t^4.66 + 3*t^4.78 + t^5.38 + 2*t^5.5 + 3*t^5.63 + 4*t^5.75 + 4*t^5.88 - 2*t^6. - t^4.47/y - t^4.47*y | detail |