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 |
|---|---|---|---|---|---|---|---|---|---|
| 5217 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_2M_7$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.7212 | 0.9361 | 0.7705 | [X:[], M:[0.8314, 1.0562, 1.1686, 0.719, 0.8314, 0.6967, 0.9438, 0.6745], q:[0.4046, 0.7641], qb:[0.4268, 0.517], phi:[0.4719]] | [X:[], M:[[-12], [4], [12], [-20], [-12], [14], [-4], [48]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_6$, $ M_4$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ M_7$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ M_8^2$, $ M_6M_8$, $ M_6^2$, $ M_4M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_1M_8$, $ M_5M_8$, $ \phi_1\tilde{q}_2^2$, $ M_1M_6$, $ M_5M_6$, $ M_1M_4$, $ M_4M_5$, $ M_8q_1\tilde{q}_2$, $ M_7M_8$, $ M_8\phi_1^2$, $ M_6q_1\tilde{q}_2$, $ M_6M_7$, $ M_6\phi_1^2$, $ \phi_1q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4M_7$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_7$, $ M_5M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ q_1^2\tilde{q}_2^2$, $ M_8q_2\tilde{q}_1$, $ M_7q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_6q_2\tilde{q}_1$, $ M_8\phi_1q_1^2$ | $M_4\phi_1q_1^2$ | -2 | t^2.02 + t^2.09 + t^2.16 + 2*t^2.49 + t^2.76 + 2*t^2.83 + t^3.57 + t^3.84 + t^4.05 + t^4.11 + 3*t^4.18 + 2*t^4.25 + t^4.31 + 3*t^4.52 + 2*t^4.58 + 2*t^4.65 + t^4.79 + 3*t^4.85 + 3*t^4.92 + 5*t^4.99 + 2*t^5.26 + 4*t^5.33 + t^5.53 + 3*t^5.6 + 3*t^5.66 + t^5.87 - 2*t^6. + 2*t^6.07 + t^6.14 + 3*t^6.2 + 3*t^6.27 + 4*t^6.34 + 3*t^6.4 + t^6.47 + 3*t^6.54 + 4*t^6.61 + 7*t^6.67 + 2*t^6.74 + 3*t^6.81 + 3*t^6.88 + 5*t^6.94 + 10*t^7.01 + 5*t^7.08 + 4*t^7.15 + 3*t^7.28 + 6*t^7.35 + 3*t^7.42 + 6*t^7.48 + t^7.55 + 4*t^7.62 + 4*t^7.69 + 6*t^7.75 + 7*t^7.82 + t^7.89 + 2*t^8.09 + 2*t^8.16 - t^8.22 + 3*t^8.23 + 4*t^8.29 + 8*t^8.36 + 4*t^8.43 + 5*t^8.56 + 5*t^8.63 + 9*t^8.7 + 2*t^8.76 + 6*t^8.9 + 2*t^8.96 + 5*t^8.97 - t^4.42/y - t^6.44/y - t^6.51/y - t^6.57/y - t^6.91/y + t^7.11/y + t^7.18/y + (2*t^7.52)/y + (3*t^7.58)/y + (2*t^7.65)/y + t^7.79/y + (3*t^7.85)/y + (4*t^7.92)/y + (3*t^7.99)/y + (3*t^8.26)/y + (5*t^8.33)/y + t^8.39/y - t^8.46/y - t^8.53/y + t^8.6/y + t^8.66/y + t^8.87/y - t^4.42*y - t^6.44*y - t^6.51*y - t^6.57*y - t^6.91*y + t^7.11*y + t^7.18*y + 2*t^7.52*y + 3*t^7.58*y + 2*t^7.65*y + t^7.79*y + 3*t^7.85*y + 4*t^7.92*y + 3*t^7.99*y + 3*t^8.26*y + 5*t^8.33*y + t^8.39*y - t^8.46*y - t^8.53*y + t^8.6*y + t^8.66*y + t^8.87*y | g1^48*t^2.02 + g1^14*t^2.09 + t^2.16/g1^20 + (2*t^2.49)/g1^12 + g1^30*t^2.76 + (2*t^2.83)/g1^4 + t^3.57/g1^22 + g1^20*t^3.84 + g1^96*t^4.05 + g1^62*t^4.11 + 3*g1^28*t^4.18 + (2*t^4.25)/g1^6 + t^4.31/g1^40 + 3*g1^36*t^4.52 + 2*g1^2*t^4.58 + (2*t^4.65)/g1^32 + g1^78*t^4.79 + 3*g1^44*t^4.85 + 3*g1^10*t^4.92 + (5*t^4.99)/g1^24 + 2*g1^18*t^5.26 + (4*t^5.33)/g1^16 + g1^60*t^5.53 + 3*g1^26*t^5.6 + (3*t^5.66)/g1^8 + g1^68*t^5.87 - 2*t^6. + t^6.07/g1^34 + g1^144*t^6.07 + g1^110*t^6.14 + 3*g1^76*t^6.2 + 3*g1^42*t^6.27 + 4*g1^8*t^6.34 + (3*t^6.4)/g1^26 + t^6.47/g1^60 + 3*g1^84*t^6.54 + 4*g1^50*t^6.61 + 7*g1^16*t^6.67 + (2*t^6.74)/g1^18 + (2*t^6.81)/g1^52 + g1^126*t^6.81 + 3*g1^92*t^6.88 + 5*g1^58*t^6.94 + 10*g1^24*t^7.01 + (5*t^7.08)/g1^10 + (4*t^7.15)/g1^44 + 3*g1^66*t^7.28 + 6*g1^32*t^7.35 + (3*t^7.42)/g1^2 + (6*t^7.48)/g1^36 + g1^108*t^7.55 + 4*g1^74*t^7.62 + 4*g1^40*t^7.69 + 6*g1^6*t^7.75 + (7*t^7.82)/g1^28 + g1^116*t^7.89 + g1^14*t^8.09 + g1^192*t^8.09 + t^8.16/g1^20 + g1^158*t^8.16 - t^8.22/g1^54 + 3*g1^124*t^8.23 + 4*g1^90*t^8.29 + 8*g1^56*t^8.36 + 4*g1^22*t^8.43 + (2*t^8.56)/g1^46 + 3*g1^132*t^8.56 + t^8.63/g1^80 + 4*g1^98*t^8.63 + 9*g1^64*t^8.7 + 2*g1^30*t^8.76 - t^8.83/g1^4 + g1^174*t^8.83 + (3*t^8.9)/g1^38 + 3*g1^140*t^8.9 + (2*t^8.96)/g1^72 + 5*g1^106*t^8.97 - t^4.42/(g1^2*y) - (g1^46*t^6.44)/y - (g1^12*t^6.51)/y - t^6.57/(g1^22*y) - t^6.91/(g1^14*y) + (g1^62*t^7.11)/y + (g1^28*t^7.18)/y + (2*g1^36*t^7.52)/y + (3*g1^2*t^7.58)/y + (2*t^7.65)/(g1^32*y) + (g1^78*t^7.79)/y + (3*g1^44*t^7.85)/y + (4*g1^10*t^7.92)/y + (3*t^7.99)/(g1^24*y) + (3*g1^18*t^8.26)/y + (5*t^8.33)/(g1^16*y) + t^8.39/(g1^50*y) - (g1^94*t^8.46)/y - (g1^60*t^8.53)/y + (g1^26*t^8.6)/y + t^8.66/(g1^8*y) + (g1^68*t^8.87)/y - (t^4.42*y)/g1^2 - g1^46*t^6.44*y - g1^12*t^6.51*y - (t^6.57*y)/g1^22 - (t^6.91*y)/g1^14 + g1^62*t^7.11*y + g1^28*t^7.18*y + 2*g1^36*t^7.52*y + 3*g1^2*t^7.58*y + (2*t^7.65*y)/g1^32 + g1^78*t^7.79*y + 3*g1^44*t^7.85*y + 4*g1^10*t^7.92*y + (3*t^7.99*y)/g1^24 + 3*g1^18*t^8.26*y + (5*t^8.33*y)/g1^16 + (t^8.39*y)/g1^50 - g1^94*t^8.46*y - g1^60*t^8.53*y + g1^26*t^8.6*y + (t^8.66*y)/g1^8 + g1^68*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 6764 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_2M_7$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_6M_8$ + $ M_4X_1$ | 0.5576 | 0.7169 | 0.7778 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.7097, 0.8387, 0.9032, 1.1613], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | 2*t^2.13 + t^2.52 + 2*t^2.71 + t^2.9 + t^3.48 + t^3.68 + t^4.06 + 3*t^4.26 + t^4.45 + 2*t^4.65 + 4*t^4.84 + 3*t^5.03 + 2*t^5.23 + 3*t^5.42 + 4*t^5.61 + t^5.81 - 2*t^6. - t^4.35/y - t^4.35*y | detail | {a: 265803/476656, c: 170861/238328, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 22/31, M6: 26/31, M7: 28/31, M8: 36/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3541 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_2M_7$ | 0.7004 | 0.895 | 0.7826 | [X:[], M:[0.8302, 1.0566, 1.1698, 0.7171, 0.8302, 0.698, 0.9434], q:[0.4056, 0.7641], qb:[0.4246, 0.5188], phi:[0.4717]] | t^2.09 + t^2.15 + 2*t^2.49 + t^2.77 + 2*t^2.83 + t^3.57 + t^3.85 + t^3.96 + 2*t^4.19 + 2*t^4.25 + t^4.3 + t^4.53 + 2*t^4.58 + 2*t^4.64 + t^4.87 + 3*t^4.92 + 5*t^4.98 + 2*t^5.26 + 4*t^5.32 + t^5.55 + 2*t^5.6 + 3*t^5.66 - 2*t^6. - t^4.42/y - t^4.42*y | detail |