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 |
|---|---|---|---|---|---|---|---|---|---|
| 4427 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ | 0.6878 | 0.8808 | 0.7809 | [X:[1.5647], M:[0.4353, 1.1882, 0.7824, 0.8706, 0.8118, 0.6941, 0.7529, 0.8412], q:[0.7971, 0.7676], qb:[0.45, 0.3618], phi:[0.4059]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-4], [36], [16], [-14]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_7$, $ M_3$, $ M_5$, $ \phi_1^2$, $ M_8$, $ M_4$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_6M_7$, $ M_3M_6$, $ M_5M_6$, $ M_7^2$, $ M_6\phi_1^2$, $ M_3M_7$, $ M_6M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_4M_6$, $ M_5M_7$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3M_5$, $ M_7M_8$, $ M_3\phi_1^2$, $ M_5^2$, $ M_4M_7$, $ M_3M_8$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_5M_8$, $ M_8\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ M_8^2$, $ M_4\phi_1^2$, $ M_4M_8$, $ M_4^2$, $ M_6q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_8q_2\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -2 | t^2.08 + t^2.26 + t^2.35 + 2*t^2.44 + t^2.52 + t^2.61 + t^3.39 + t^3.65 + t^4.16 + t^4.34 + t^4.43 + 3*t^4.52 + 3*t^4.61 + 5*t^4.69 + 2*t^4.78 + 6*t^4.87 + 3*t^4.96 + 2*t^5.05 + t^5.14 + t^5.22 + t^5.47 + t^5.65 + t^5.74 + 3*t^5.82 + t^5.91 - 2*t^6. + t^6.09 + t^6.25 - t^6.26 + t^6.42 + t^6.51 + 3*t^6.6 + 3*t^6.69 + 7*t^6.78 + 4*t^6.86 + 8*t^6.95 + 8*t^7.04 + 9*t^7.13 + 5*t^7.22 + 10*t^7.31 + 6*t^7.39 + 4*t^7.48 + t^7.55 + 3*t^7.57 + 2*t^7.66 + t^7.73 + t^7.75 + t^7.82 + t^7.84 + 4*t^7.91 + 2*t^7.99 + t^8.08 + t^8.26 + t^8.33 - 2*t^8.35 - 7*t^8.44 + t^8.51 - 3*t^8.52 + t^8.59 - 5*t^8.61 + 3*t^8.68 - 3*t^8.7 + 3*t^8.77 - 2*t^8.79 + 7*t^8.86 - t^8.88 + 4*t^8.95 - t^4.22/y - t^6.3/y - t^6.48/y - t^6.56/y - t^6.65/y - t^6.74/y - t^6.83/y + t^7.34/y + t^7.43/y + (2*t^7.52)/y + (3*t^7.61)/y + (4*t^7.69)/y + (4*t^7.78)/y + (4*t^7.87)/y + (4*t^7.96)/y + (2*t^8.05)/y + (2*t^8.14)/y - t^8.38/y + t^8.47/y - t^8.56/y - t^8.91/y - t^4.22*y - t^6.3*y - t^6.48*y - t^6.56*y - t^6.65*y - t^6.74*y - t^6.83*y + t^7.34*y + t^7.43*y + 2*t^7.52*y + 3*t^7.61*y + 4*t^7.69*y + 4*t^7.78*y + 4*t^7.87*y + 4*t^7.96*y + 2*t^8.05*y + 2*t^8.14*y - t^8.38*y + t^8.47*y - t^8.56*y - t^8.91*y | g1^36*t^2.08 + g1^16*t^2.26 + g1^6*t^2.35 + (2*t^2.44)/g1^4 + t^2.52/g1^14 + t^2.61/g1^24 + g1^24*t^3.39 + t^3.65/g1^6 + g1^72*t^4.16 + g1^52*t^4.34 + g1^42*t^4.43 + 3*g1^32*t^4.52 + 3*g1^22*t^4.61 + 5*g1^12*t^4.69 + 2*g1^2*t^4.78 + (6*t^4.87)/g1^8 + (3*t^4.96)/g1^18 + (2*t^5.05)/g1^28 + t^5.14/g1^38 + t^5.22/g1^48 + g1^60*t^5.47 + g1^40*t^5.65 + g1^30*t^5.74 + 3*g1^20*t^5.82 + g1^10*t^5.91 - 2*t^6. + t^6.09/g1^10 + g1^108*t^6.25 - t^6.26/g1^30 + g1^88*t^6.42 + g1^78*t^6.51 + 3*g1^68*t^6.6 + 3*g1^58*t^6.69 + 7*g1^48*t^6.78 + 4*g1^38*t^6.86 + 8*g1^28*t^6.95 + 8*g1^18*t^7.04 + 9*g1^8*t^7.13 + (5*t^7.22)/g1^2 + (10*t^7.31)/g1^12 + (6*t^7.39)/g1^22 + (4*t^7.48)/g1^32 + g1^96*t^7.55 + (3*t^7.57)/g1^42 + (2*t^7.66)/g1^52 + g1^76*t^7.73 + t^7.75/g1^62 + g1^66*t^7.82 + t^7.84/g1^72 + 4*g1^56*t^7.91 + 2*g1^46*t^7.99 + g1^36*t^8.08 + g1^16*t^8.26 + g1^144*t^8.33 - 2*g1^6*t^8.35 - (7*t^8.44)/g1^4 + g1^124*t^8.51 - (3*t^8.52)/g1^14 + g1^114*t^8.59 - (5*t^8.61)/g1^24 + 3*g1^104*t^8.68 - (3*t^8.7)/g1^34 + 3*g1^94*t^8.77 - (2*t^8.79)/g1^44 + 7*g1^84*t^8.86 - t^8.88/g1^54 + 4*g1^74*t^8.95 - t^4.22/(g1^2*y) - (g1^34*t^6.3)/y - (g1^14*t^6.48)/y - (g1^4*t^6.56)/y - t^6.65/(g1^6*y) - t^6.74/(g1^16*y) - t^6.83/(g1^26*y) + (g1^52*t^7.34)/y + (g1^42*t^7.43)/y + (2*g1^32*t^7.52)/y + (3*g1^22*t^7.61)/y + (4*g1^12*t^7.69)/y + (4*g1^2*t^7.78)/y + (4*t^7.87)/(g1^8*y) + (4*t^7.96)/(g1^18*y) + (2*t^8.05)/(g1^28*y) + (2*t^8.14)/(g1^38*y) - (g1^70*t^8.38)/y + (g1^60*t^8.47)/y - (g1^50*t^8.56)/y - (g1^10*t^8.91)/y - (t^4.22*y)/g1^2 - g1^34*t^6.3*y - g1^14*t^6.48*y - g1^4*t^6.56*y - (t^6.65*y)/g1^6 - (t^6.74*y)/g1^16 - (t^6.83*y)/g1^26 + g1^52*t^7.34*y + g1^42*t^7.43*y + 2*g1^32*t^7.52*y + 3*g1^22*t^7.61*y + 4*g1^12*t^7.69*y + 4*g1^2*t^7.78*y + (4*t^7.87*y)/g1^8 + (4*t^7.96*y)/g1^18 + (2*t^8.05*y)/g1^28 + (2*t^8.14*y)/g1^38 - g1^70*t^8.38*y + g1^60*t^8.47*y - g1^50*t^8.56*y - g1^10*t^8.91*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5938 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ + $ M_3M_9$ | 0.6703 | 0.8495 | 0.7891 | [X:[1.5667], M:[0.4333, 1.1889, 0.7833, 0.8666, 0.8111, 0.7, 0.7556, 0.8389, 1.2167], q:[0.7972, 0.7695], qb:[0.4472, 0.3639], phi:[0.4056]] | t^2.1 + t^2.27 + 2*t^2.43 + t^2.52 + t^2.6 + t^3.4 + 2*t^3.65 + t^4.2 + t^4.37 + 3*t^4.53 + 2*t^4.62 + 4*t^4.7 + 5*t^4.87 + 2*t^4.95 + 2*t^5.03 + t^5.12 + t^5.2 + t^5.5 + t^5.67 + t^5.75 + 3*t^5.83 + 2*t^5.92 - 3*t^6. - t^4.22/y - t^4.22*y | detail | |
| 5933 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ + $ M_6M_7$ + $ M_4X_2$ | 0.5668 | 0.7158 | 0.7918 | [X:[1.6923, 1.3846], M:[0.3077, 1.2308, 0.8462, 0.6154, 0.7692, 1.0769, 0.9231, 0.6923], q:[0.8077, 0.8846], qb:[0.2692, 0.5], phi:[0.3846]] | t^2.08 + 2*t^2.31 + t^2.54 + t^2.77 + t^3.23 + t^3.46 + 2*t^4.15 + 2*t^4.38 + 5*t^4.62 + 2*t^4.85 + 4*t^5.08 + t^5.31 + 3*t^5.54 + 2*t^5.77 - 2*t^6. - t^4.15/y - t^4.15*y | detail | {a: 19923/35152, c: 12581/17576, X1: 22/13, X2: 18/13, M1: 4/13, M2: 16/13, M3: 11/13, M4: 8/13, M5: 10/13, M6: 14/13, M7: 12/13, M8: 9/13, q1: 21/26, q2: 23/26, qb1: 7/26, qb2: 1/2, phi1: 5/13} |
| 5941 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ + $ M_9\phi_1\tilde{q}_1\tilde{q}_2$ | 0.7054 | 0.9123 | 0.7731 | [X:[1.5628], M:[0.4372, 1.1876, 0.7814, 0.8745, 0.8124, 0.6883, 0.7503, 0.8434, 0.7814], q:[0.7969, 0.7659], qb:[0.4528, 0.3597], phi:[0.4062]] | t^2.06 + t^2.25 + 2*t^2.34 + 2*t^2.44 + t^2.53 + t^2.62 + t^3.38 + t^4.13 + t^4.32 + 2*t^4.41 + 3*t^4.5 + 4*t^4.6 + 7*t^4.69 + 4*t^4.78 + 7*t^4.87 + 4*t^4.97 + 2*t^5.06 + t^5.15 + t^5.25 + t^5.44 + t^5.63 + t^5.72 + 3*t^5.81 - 3*t^6. - t^4.22/y - t^4.22*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2400 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_1$ | 0.6743 | 0.8589 | 0.7851 | [X:[1.5584], M:[0.4416, 1.1861, 0.7792, 0.8832, 0.8139, 0.6753, 0.7446], q:[0.7965, 0.7619], qb:[0.4589, 0.355], phi:[0.4069]] | t^2.03 + t^2.23 + t^2.34 + 2*t^2.44 + t^2.65 + t^3.35 + t^3.45 + t^3.66 + t^4.05 + t^4.26 + t^4.36 + 3*t^4.47 + 2*t^4.57 + 5*t^4.68 + t^4.78 + 5*t^4.88 + t^4.99 + t^5.09 + t^5.3 + t^5.38 + t^5.48 + t^5.58 + 2*t^5.69 + 4*t^5.79 + 2*t^5.9 - 2*t^6. - t^4.22/y - t^4.22*y | detail |