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 |
|---|---|---|---|---|---|---|---|---|---|
| 3115 | 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_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6721 | 0.8536 | 0.7873 | [X:[1.5631], M:[0.4369, 1.1877, 0.7816, 0.8737, 0.6894, 0.843, 0.7509], q:[0.7969, 0.7662], qb:[0.4522, 0.3601], phi:[0.4061]] | [X:[[12]], M:[[-12], [4], [6], [-24], [36], [-14], [16]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_3$, $ \phi_1^2$, $ M_6$, $ M_4$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5M_7$, $ M_3M_5$, $ M_7^2$, $ M_5\phi_1^2$, $ M_5M_6$, $ M_3M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_4M_5$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_6M_7$, $ M_3\phi_1^2$, $ M_3M_6$, $ M_4M_7$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_6^2$, $ M_4\phi_1^2$, $ M_4M_6$, $ M_4^2$, $ M_5q_2\tilde{q}_2$, $ M_2M_5$, $ M_7q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_7$, $ \phi_1q_2^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -1 | t^2.07 + t^2.25 + t^2.34 + t^2.44 + t^2.53 + t^2.62 + t^3.38 + t^3.56 + t^3.66 + t^4.14 + t^4.32 + t^4.41 + 2*t^4.51 + 3*t^4.6 + 4*t^4.69 + t^4.78 + 4*t^4.87 + 2*t^4.97 + t^5.06 + t^5.15 + t^5.24 + t^5.45 + 2*t^5.63 + t^5.72 + 3*t^5.82 + 2*t^5.91 - t^6. + t^6.09 + t^6.18 + t^6.2 - t^6.28 + t^6.39 + t^6.48 + 2*t^6.57 + 3*t^6.67 + 6*t^6.76 + 3*t^6.85 + 6*t^6.94 + 5*t^7.03 + 5*t^7.13 + 4*t^7.22 + 4*t^7.31 + 3*t^7.4 + 2*t^7.49 + t^7.52 + 2*t^7.59 + t^7.68 + 2*t^7.7 + t^7.77 + t^7.79 + t^7.86 + 4*t^7.88 + 3*t^7.98 + 2*t^8.07 + 2*t^8.16 + 2*t^8.25 + t^8.27 - 2*t^8.34 - t^8.44 + t^8.46 - 2*t^8.53 + t^8.55 - 4*t^8.62 + 2*t^8.64 - t^8.71 + 3*t^8.73 - t^8.81 + 6*t^8.83 - t^8.9 + 3*t^8.92 - t^4.22/y - t^6.29/y - t^6.47/y - t^6.56/y - t^6.75/y - t^6.84/y + t^7.32/y + t^7.41/y + t^7.51/y + (3*t^7.6)/y + (3*t^7.69)/y + (2*t^7.78)/y + (3*t^7.87)/y + (3*t^7.97)/y + t^8.06/y + (2*t^8.15)/y - t^8.36/y + t^8.45/y - t^8.54/y + t^8.63/y + t^8.72/y + t^8.91/y - t^4.22*y - t^6.29*y - t^6.47*y - t^6.56*y - t^6.75*y - t^6.84*y + t^7.32*y + t^7.41*y + t^7.51*y + 3*t^7.6*y + 3*t^7.69*y + 2*t^7.78*y + 3*t^7.87*y + 3*t^7.97*y + t^8.06*y + 2*t^8.15*y - t^8.36*y + t^8.45*y - t^8.54*y + t^8.63*y + t^8.72*y + t^8.91*y | g1^36*t^2.07 + g1^16*t^2.25 + g1^6*t^2.34 + t^2.44/g1^4 + t^2.53/g1^14 + t^2.62/g1^24 + g1^24*t^3.38 + g1^4*t^3.56 + t^3.66/g1^6 + g1^72*t^4.14 + g1^52*t^4.32 + g1^42*t^4.41 + 2*g1^32*t^4.51 + 3*g1^22*t^4.6 + 4*g1^12*t^4.69 + g1^2*t^4.78 + (4*t^4.87)/g1^8 + (2*t^4.97)/g1^18 + t^5.06/g1^28 + t^5.15/g1^38 + t^5.24/g1^48 + g1^60*t^5.45 + 2*g1^40*t^5.63 + g1^30*t^5.72 + 3*g1^20*t^5.82 + 2*g1^10*t^5.91 - t^6. + t^6.09/g1^10 + t^6.18/g1^20 + g1^108*t^6.2 - t^6.28/g1^30 + g1^88*t^6.39 + g1^78*t^6.48 + 2*g1^68*t^6.57 + 3*g1^58*t^6.67 + 6*g1^48*t^6.76 + 3*g1^38*t^6.85 + 6*g1^28*t^6.94 + 5*g1^18*t^7.03 + 5*g1^8*t^7.13 + (4*t^7.22)/g1^2 + (4*t^7.31)/g1^12 + (3*t^7.4)/g1^22 + (2*t^7.49)/g1^32 + g1^96*t^7.52 + (2*t^7.59)/g1^42 + t^7.68/g1^52 + 2*g1^76*t^7.7 + t^7.77/g1^62 + g1^66*t^7.79 + t^7.86/g1^72 + 4*g1^56*t^7.88 + 3*g1^46*t^7.98 + 2*g1^36*t^8.07 + 2*g1^26*t^8.16 + 2*g1^16*t^8.25 + g1^144*t^8.27 - 2*g1^6*t^8.34 - t^8.44/g1^4 + g1^124*t^8.46 - (2*t^8.53)/g1^14 + g1^114*t^8.55 - (4*t^8.62)/g1^24 + 2*g1^104*t^8.64 - t^8.71/g1^34 + 3*g1^94*t^8.73 - t^8.81/g1^44 + 6*g1^84*t^8.83 - t^8.9/g1^54 + 3*g1^74*t^8.92 - t^4.22/(g1^2*y) - (g1^34*t^6.29)/y - (g1^14*t^6.47)/y - (g1^4*t^6.56)/y - t^6.75/(g1^16*y) - t^6.84/(g1^26*y) + (g1^52*t^7.32)/y + (g1^42*t^7.41)/y + (g1^32*t^7.51)/y + (3*g1^22*t^7.6)/y + (3*g1^12*t^7.69)/y + (2*g1^2*t^7.78)/y + (3*t^7.87)/(g1^8*y) + (3*t^7.97)/(g1^18*y) + t^8.06/(g1^28*y) + (2*t^8.15)/(g1^38*y) - (g1^70*t^8.36)/y + (g1^60*t^8.45)/y - (g1^50*t^8.54)/y + (g1^40*t^8.63)/y + (g1^30*t^8.72)/y + (g1^10*t^8.91)/y - (t^4.22*y)/g1^2 - g1^34*t^6.29*y - g1^14*t^6.47*y - g1^4*t^6.56*y - (t^6.75*y)/g1^16 - (t^6.84*y)/g1^26 + g1^52*t^7.32*y + g1^42*t^7.41*y + g1^32*t^7.51*y + 3*g1^22*t^7.6*y + 3*g1^12*t^7.69*y + 2*g1^2*t^7.78*y + (3*t^7.87*y)/g1^8 + (3*t^7.97*y)/g1^18 + (t^8.06*y)/g1^28 + (2*t^8.15*y)/g1^38 - g1^70*t^8.36*y + g1^60*t^8.45*y - g1^50*t^8.54*y + g1^40*t^8.63*y + g1^30*t^8.72*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 |
|---|---|---|---|---|---|---|---|---|
| 4986 | $M_1q_1q_2$ + $ 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_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_3M_8$ | 0.6545 | 0.8221 | 0.7962 | [X:[1.5651], M:[0.4349, 1.1884, 0.7826, 0.8698, 0.6953, 0.8407, 0.7535, 1.2174], q:[0.7971, 0.768], qb:[0.4494, 0.3622], phi:[0.4058]] | t^2.09 + t^2.26 + t^2.43 + t^2.52 + t^2.61 + t^3.39 + t^3.57 + 2*t^3.65 + t^4.17 + t^4.35 + 2*t^4.52 + 2*t^4.61 + 3*t^4.7 + 3*t^4.87 + t^4.96 + t^5.04 + t^5.13 + t^5.22 + t^5.48 + 2*t^5.65 + t^5.74 + 3*t^5.83 + 2*t^5.91 - 2*t^6. - t^4.22/y - t^4.22*y | detail | |
| 4982 | $M_1q_1q_2$ + $ 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_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_5M_7$ + $ M_4X_2$ | 0.5486 | 0.6832 | 0.803 | [X:[1.6923, 1.3846], M:[0.3077, 1.2308, 0.8462, 0.6154, 1.0769, 0.6923, 0.9231], q:[0.8077, 0.8846], qb:[0.2692, 0.5], phi:[0.3846]] | t^2.08 + t^2.31 + t^2.54 + t^2.77 + t^3.23 + t^3.46 + t^3.69 + 2*t^4.15 + t^4.38 + 3*t^4.62 + t^4.85 + 3*t^5.08 + t^5.31 + 2*t^5.54 + 2*t^5.77 - t^6. - t^4.15/y - t^4.15*y | detail | {a: 4821/8788, c: 1501/2197, X1: 22/13, X2: 18/13, M1: 4/13, M2: 16/13, M3: 11/13, M4: 8/13, M5: 14/13, M6: 9/13, M7: 12/13, q1: 21/26, q2: 23/26, qb1: 7/26, qb2: 1/2, phi1: 5/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2042 | 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_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.6532 | 0.8187 | 0.7978 | [X:[1.5674], M:[0.4326, 1.1891, 0.7837, 0.8652, 0.7022, 0.838], q:[0.7973, 0.7701], qb:[0.4462, 0.3647], phi:[0.4054]] | t^2.11 + t^2.35 + t^2.43 + t^2.51 + t^2.6 + t^3.4 + t^3.57 + t^3.65 + t^3.73 + t^4.21 + t^4.46 + t^4.54 + 2*t^4.62 + 3*t^4.7 + 3*t^4.87 + 2*t^4.95 + t^5.03 + t^5.11 + t^5.19 + t^5.51 + t^5.67 + t^5.76 + 3*t^5.84 + t^5.92 - t^6. - t^4.22/y - t^4.22*y | detail |