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 |
|---|---|---|---|---|---|---|---|---|---|
| 4416 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_6M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.663 | 0.838 | 0.7912 | [X:[], M:[0.8797, 1.0397, 1.0409, 0.8002, 1.1203, 1.1998, 0.8002, 0.7196], q:[0.7599, 0.3604], qb:[0.4398, 0.5192], phi:[0.4801]] | [X:[], M:[[14], [12], [-38], [-10], [-14], [10], [-10], [16]], q:[[3], [-17]], qb:[[7], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_4$, $ M_7$, $ M_1$, $ M_3$, $ M_2$, $ M_5$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_8^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_8$, $ M_7M_8$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_1q_2$, $ M_1M_8$, $ M_1M_4$, $ M_1M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_8$, $ M_1^2$, $ M_2M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_4$, $ M_3M_7$, $ M_2M_4$, $ M_2M_7$, $ M_5M_8$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$, $ M_8\phi_1q_2^2$, $ M_1M_2$ | $M_4\phi_1q_2^2$, $ M_7\phi_1q_2^2$, $ M_8q_1\tilde{q}_2$ | 1 | t^2.16 + 2*t^2.4 + t^2.64 + 2*t^3.12 + t^3.36 + t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 3*t^4.56 + 4*t^4.8 + 2*t^5.04 + 3*t^5.28 + 4*t^5.52 + 3*t^5.76 + t^6. + 3*t^6.24 + t^6.25 + 6*t^6.48 + t^6.71 + 4*t^6.72 + t^6.73 + 6*t^6.96 + t^7.19 + 5*t^7.2 + t^7.21 + 6*t^7.44 + t^7.67 + 5*t^7.68 + 7*t^7.92 + 4*t^8.16 + t^8.39 + 3*t^8.4 + 6*t^8.64 + t^8.65 + 2*t^8.87 + 7*t^8.88 - t^4.44/y - t^6.6/y - t^6.84/y + t^7.32/y + t^7.56/y + (2*t^7.8)/y + (3*t^8.04)/y + (3*t^8.28)/y + (5*t^8.52)/y + (4*t^8.76)/y - t^4.44*y - t^6.6*y - t^6.84*y + t^7.32*y + t^7.56*y + 2*t^7.8*y + 3*t^8.04*y + 3*t^8.28*y + 5*t^8.52*y + 4*t^8.76*y | g1^16*t^2.16 + (2*t^2.4)/g1^10 + g1^14*t^2.64 + t^3.12/g1^38 + g1^12*t^3.12 + t^3.36/g1^14 + t^3.6/g1^40 + g1^34*t^3.84 + 2*g1^8*t^4.08 + 2*g1^32*t^4.32 + 2*g1^6*t^4.56 + g1^56*t^4.56 + (3*t^4.8)/g1^20 + g1^30*t^4.8 + 2*g1^4*t^5.04 + t^5.28/g1^22 + 2*g1^28*t^5.28 + t^5.52/g1^48 + 3*g1^2*t^5.52 + (2*t^5.76)/g1^24 + g1^26*t^5.76 - 2*t^6. + (2*t^6.)/g1^50 + g1^50*t^6. + t^6.24/g1^26 + 2*g1^24*t^6.24 + t^6.25/g1^76 + t^6.48/g1^52 + (3*t^6.48)/g1^2 + 2*g1^48*t^6.48 + g1^72*t^6.71 + 4*g1^22*t^6.72 + t^6.73/g1^78 + (2*t^6.96)/g1^4 + 4*g1^46*t^6.96 + g1^70*t^7.19 + (3*t^7.2)/g1^30 + 2*g1^20*t^7.2 + t^7.21/g1^80 + (4*t^7.44)/g1^6 + 2*g1^44*t^7.44 + g1^68*t^7.67 + (2*t^7.68)/g1^32 + 3*g1^18*t^7.68 + t^7.92/g1^58 + (4*t^7.92)/g1^8 + 2*g1^42*t^7.92 + (2*t^8.16)/g1^34 + g1^16*t^8.16 + g1^66*t^8.16 + g1^90*t^8.39 + (4*t^8.4)/g1^60 - (4*t^8.4)/g1^10 + 3*g1^40*t^8.4 + (2*t^8.64)/g1^36 + 4*g1^64*t^8.64 + t^8.65/g1^86 + 2*g1^88*t^8.87 + (2*t^8.88)/g1^62 + (3*t^8.88)/g1^12 + 2*g1^38*t^8.88 - t^4.44/(g1^6*y) - (g1^10*t^6.6)/y - t^6.84/(g1^16*y) + (g1^32*t^7.32)/y - t^7.56/(g1^44*y) + (2*g1^6*t^7.56)/y + t^7.8/(g1^20*y) + (g1^30*t^7.8)/y + (3*g1^4*t^8.04)/y + (2*t^8.28)/(g1^22*y) + (g1^28*t^8.28)/y + (2*t^8.52)/(g1^48*y) + (3*g1^2*t^8.52)/y + (4*t^8.76)/(g1^24*y) - (t^4.44*y)/g1^6 - g1^10*t^6.6*y - (t^6.84*y)/g1^16 + g1^32*t^7.32*y - (t^7.56*y)/g1^44 + 2*g1^6*t^7.56*y + (t^7.8*y)/g1^20 + g1^30*t^7.8*y + 3*g1^4*t^8.04*y + (2*t^8.28*y)/g1^22 + g1^28*t^8.28*y + (2*t^8.52*y)/g1^48 + 3*g1^2*t^8.52*y + (4*t^8.76*y)/g1^24 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5919 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_6M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2\tilde{q}_1$ + $ M_9\phi_1q_2^2$ | 0.6805 | 0.8706 | 0.7817 | [X:[], M:[0.8685, 1.0302, 1.0711, 0.8082, 1.1315, 1.1918, 0.8082, 0.7069, 0.7673], q:[0.7575, 0.3739], qb:[0.4343, 0.4946], phi:[0.4849]] | t^2.12 + t^2.3 + 2*t^2.42 + t^2.61 + t^3.09 + t^3.21 + t^3.39 + t^3.76 + 2*t^4.06 + 2*t^4.24 + 2*t^4.42 + 2*t^4.55 + t^4.6 + 3*t^4.73 + 3*t^4.85 + t^4.91 + 2*t^5.03 + 2*t^5.21 + t^5.33 + t^5.39 + 4*t^5.52 + t^5.64 + 2*t^5.7 + t^5.82 + t^5.88 - 2*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2391 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_6M_7$ + $ \phi_1q_1^2$ | 0.643 | 0.8005 | 0.8032 | [X:[], M:[0.8823, 1.042, 1.0337, 0.7983, 1.1177, 1.2017, 0.7983], q:[0.7605, 0.3572], qb:[0.4412, 0.5251], phi:[0.479]] | 2*t^2.4 + t^2.65 + t^3.1 + t^3.13 + t^3.35 + t^3.58 + t^3.83 + t^3.86 + 2*t^4.08 + t^4.34 + t^4.59 + 3*t^4.79 + 2*t^5.04 + t^5.29 + t^5.5 + 2*t^5.52 + t^5.75 + t^5.77 + 2*t^5.98 - 2*t^6. - t^4.44/y - t^4.44*y | detail |