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 |
---|---|---|---|---|---|---|---|---|---|
1492 | 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_4M_5$ + $ M_2\phi_1^2$ + $ M_3^2$ + $ M_5M_6$ | 0.6999 | 0.8585 | 0.8152 | [X:[], M:[0.9245, 1.0252, 1.0, 0.9496, 1.0504, 0.9496], q:[0.563, 0.5126], qb:[0.437, 0.5378], phi:[0.4874]] | [X:[], M:[[-6], [2], [0], [-4], [4], [-4]], q:[[5], [1]], qb:[[-5], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_4$, $ M_1M_6$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ M_2M_4$, $ M_2M_6$, $ M_3\phi_1^2$ | . | -2 | t^2.77 + 2*t^2.85 + t^2.92 + t^3. + t^3.08 + t^3.3 + t^4.08 + t^4.31 + t^4.39 + t^4.46 + t^4.54 + t^4.61 + 2*t^4.69 + t^4.76 + t^4.84 + t^5.55 + t^5.62 + 3*t^5.7 + 2*t^5.77 + 3*t^5.85 + t^5.92 - 2*t^6. + t^6.15 + t^6.6 + t^6.86 + 2*t^6.93 + t^7.01 + t^7.08 + 2*t^7.16 + 2*t^7.24 + 3*t^7.31 + 3*t^7.39 + 2*t^7.46 + 3*t^7.54 + 3*t^7.61 + 3*t^7.69 + t^7.76 + t^7.99 + t^8.07 + t^8.14 + t^8.17 + t^8.32 + 2*t^8.4 + 2*t^8.47 + 4*t^8.55 + 4*t^8.62 + 3*t^8.7 + 2*t^8.77 - 3*t^8.85 - 2*t^8.92 - t^4.46/y - t^7.24/y - t^7.31/y + t^7.61/y + t^7.69/y + (2*t^8.62)/y + (2*t^8.7)/y + (3*t^8.77)/y + (3*t^8.85)/y + (3*t^8.92)/y - t^4.46*y - t^7.24*y - t^7.31*y + t^7.61*y + t^7.69*y + 2*t^8.62*y + 2*t^8.7*y + 3*t^8.77*y + 3*t^8.85*y + 3*t^8.92*y | t^2.77/g1^6 + (2*t^2.85)/g1^4 + t^2.92/g1^2 + t^3. + g1^2*t^3.08 + g1^8*t^3.3 + t^4.08/g1^11 + t^4.31/g1^5 + t^4.39/g1^3 + t^4.46/g1 + g1*t^4.54 + g1^3*t^4.61 + 2*g1^5*t^4.69 + g1^7*t^4.76 + g1^9*t^4.84 + t^5.55/g1^12 + t^5.62/g1^10 + (3*t^5.7)/g1^8 + (2*t^5.77)/g1^6 + (3*t^5.85)/g1^4 + t^5.92/g1^2 - 2*t^6. + g1^4*t^6.15 + g1^16*t^6.6 + t^6.86/g1^17 + (2*t^6.93)/g1^15 + t^7.01/g1^13 + t^7.08/g1^11 + (2*t^7.16)/g1^9 + (2*t^7.24)/g1^7 + (3*t^7.31)/g1^5 + (3*t^7.39)/g1^3 + (2*t^7.46)/g1 + 3*g1*t^7.54 + 3*g1^3*t^7.61 + 3*g1^5*t^7.69 + g1^7*t^7.76 + g1^13*t^7.99 + g1^15*t^8.07 + g1^17*t^8.14 + t^8.17/g1^22 + t^8.32/g1^18 + (2*t^8.4)/g1^16 + (2*t^8.47)/g1^14 + (4*t^8.55)/g1^12 + (4*t^8.62)/g1^10 + (3*t^8.7)/g1^8 + (2*t^8.77)/g1^6 - (3*t^8.85)/g1^4 - (2*t^8.92)/g1^2 - t^4.46/(g1*y) - t^7.24/(g1^7*y) - t^7.31/(g1^5*y) + (g1^3*t^7.61)/y + (g1^5*t^7.69)/y + (2*t^8.62)/(g1^10*y) + (2*t^8.7)/(g1^8*y) + (3*t^8.77)/(g1^6*y) + (3*t^8.85)/(g1^4*y) + (3*t^8.92)/(g1^2*y) - (t^4.46*y)/g1 - (t^7.24*y)/g1^7 - (t^7.31*y)/g1^5 + g1^3*t^7.61*y + g1^5*t^7.69*y + (2*t^8.62*y)/g1^10 + (2*t^8.7*y)/g1^8 + (3*t^8.77*y)/g1^6 + (3*t^8.85*y)/g1^4 + (3*t^8.92*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 |
---|---|---|---|---|---|---|---|---|
2584 | $M_1q_1q_2$ + $ 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_4M_5$ + $ M_2\phi_1^2$ + $ M_3^2$ + $ M_5M_6$ + $ M_2M_7$ | 0.7024 | 0.8631 | 0.8138 | [X:[], M:[0.9142, 1.0286, 1.0, 0.9428, 1.0572, 0.9428, 0.9714], q:[0.5715, 0.5143], qb:[0.4285, 0.5429], phi:[0.4857]] | t^2.74 + 2*t^2.83 + 2*t^2.91 + t^3. + t^3.34 + t^4.03 + t^4.29 + t^4.37 + t^4.46 + t^4.54 + t^4.63 + 2*t^4.71 + t^4.8 + t^4.89 + t^5.49 + t^5.57 + 4*t^5.66 + 4*t^5.74 + 4*t^5.83 - 3*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 |
---|---|---|---|---|---|---|---|---|---|
960 | 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_4M_5$ + $ M_2\phi_1^2$ + $ M_3^2$ | 0.6958 | 0.8515 | 0.8172 | [X:[], M:[0.9451, 1.0183, 1.0, 0.9634, 1.0366], q:[0.5458, 0.5092], qb:[0.4542, 0.5275], phi:[0.4908]] | t^2.84 + t^2.89 + t^2.95 + t^3. + t^3.05 + t^3.11 + t^3.22 + t^4.2 + t^4.36 + t^4.42 + t^4.47 + t^4.53 + t^4.58 + 2*t^4.64 + t^4.69 + t^4.75 + t^5.67 + t^5.78 + t^5.84 + 2*t^5.89 + t^5.95 - t^6. - t^4.47/y - t^4.47*y | detail |