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 |
|---|---|---|---|---|---|---|---|---|---|
| 4878 | 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_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_2X_1$ | 0.5909 | 0.7443 | 0.7939 | [X:[1.3339], M:[1.0307, 0.6661, 0.9693, 0.7274, 1.2726, 0.9693, 0.9097, 0.787], q:[0.6363, 0.333], qb:[0.3944, 0.9395], phi:[0.4242]] | [X:[[22]], M:[[14], [-22], [-14], [6], [-6], [-14], [24], [-32]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_8$, $ \phi_1^2$, $ M_7$, $ M_3$, $ M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_5$, $ X_1$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_8$, $ M_8^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_8\phi_1^2$, $ M_4M_7$, $ M_3M_4$, $ M_4M_6$, $ M_7M_8$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_8$, $ M_6M_8$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_7^2$, $ M_3M_7$, $ M_6M_7$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_8\phi_1q_2\tilde{q}_1$ | $\phi_1^3q_2\tilde{q}_1$ | -1 | t^2.18 + t^2.36 + t^2.55 + t^2.73 + 2*t^2.91 + t^3.45 + t^3.82 + t^4. + t^4.36 + t^4.54 + t^4.72 + 2*t^4.73 + 2*t^4.91 + 4*t^5.09 + 3*t^5.27 + t^5.45 + t^5.46 + 2*t^5.64 + 3*t^5.82 - t^6. + 2*t^6.18 + 2*t^6.36 + t^6.55 + 2*t^6.73 + t^6.9 + t^6.91 + t^7.08 + t^7.09 + 4*t^7.27 + 4*t^7.45 + t^7.46 + 2*t^7.63 + 5*t^7.64 + t^7.81 + 3*t^7.82 + 6*t^8. + t^8.18 + t^8.19 - t^8.36 + t^8.37 + t^8.54 + t^8.55 + 4*t^8.72 - 2*t^8.73 - 2*t^8.91 - t^4.27/y - t^6.63/y - t^6.82/y - t^7./y - t^7.18/y + t^7.36/y + (2*t^7.54)/y + (2*t^7.73)/y + (3*t^7.91)/y + (3*t^8.09)/y + (3*t^8.27)/y + (2*t^8.45)/y + (3*t^8.64)/y + (2*t^8.82)/y - t^8.99/y - t^4.27*y - t^6.63*y - t^6.82*y - t^7.*y - t^7.18*y + t^7.36*y + 2*t^7.54*y + 2*t^7.73*y + 3*t^7.91*y + 3*t^8.09*y + 3*t^8.27*y + 2*t^8.45*y + 3*t^8.64*y + 2*t^8.82*y - t^8.99*y | g1^6*t^2.18 + t^2.36/g1^32 + t^2.55/g1^4 + g1^24*t^2.73 + (2*t^2.91)/g1^14 + g1^4*t^3.45 + t^3.82/g1^6 + g1^22*t^4. + g1^12*t^4.36 + t^4.54/g1^26 + t^4.72/g1^64 + 2*g1^2*t^4.73 + t^4.91/g1^36 + g1^30*t^4.91 + (4*t^5.09)/g1^8 + (2*t^5.27)/g1^46 + g1^20*t^5.27 + t^5.45/g1^18 + g1^48*t^5.46 + 2*g1^10*t^5.64 + (3*t^5.82)/g1^28 - t^6. + t^6.18/g1^38 + g1^28*t^6.18 + (2*t^6.36)/g1^10 + g1^18*t^6.55 + t^6.73/g1^20 + g1^46*t^6.73 + t^6.9/g1^58 + g1^8*t^6.91 + t^7.08/g1^96 + t^7.09/g1^30 + t^7.27/g1^68 + (3*t^7.27)/g1^2 + (4*t^7.45)/g1^40 + g1^26*t^7.46 + (2*t^7.63)/g1^78 + (4*t^7.64)/g1^12 + g1^54*t^7.64 + t^7.81/g1^50 + 3*g1^16*t^7.82 + (4*t^8.)/g1^22 + 2*g1^44*t^8. + (3*t^8.18)/g1^60 - 2*g1^6*t^8.18 + g1^72*t^8.19 - t^8.36/g1^32 + g1^34*t^8.37 + t^8.54/g1^70 + t^8.55/g1^4 + (4*t^8.72)/g1^42 - 2*g1^24*t^8.73 - (3*t^8.91)/g1^14 + g1^52*t^8.91 - t^4.27/(g1^2*y) - t^6.63/(g1^34*y) - t^6.82/(g1^6*y) - (g1^22*t^7.)/y - t^7.18/(g1^16*y) + (g1^12*t^7.36)/y + (2*t^7.54)/(g1^26*y) + (2*g1^2*t^7.73)/y + t^7.91/(g1^36*y) + (2*g1^30*t^7.91)/y + (3*t^8.09)/(g1^8*y) + (2*t^8.27)/(g1^46*y) + (g1^20*t^8.27)/y + (2*t^8.45)/(g1^18*y) + (3*g1^10*t^8.64)/y + (2*t^8.82)/(g1^28*y) - t^8.99/(g1^66*y) - (t^4.27*y)/g1^2 - (t^6.63*y)/g1^34 - (t^6.82*y)/g1^6 - g1^22*t^7.*y - (t^7.18*y)/g1^16 + g1^12*t^7.36*y + (2*t^7.54*y)/g1^26 + 2*g1^2*t^7.73*y + (t^7.91*y)/g1^36 + 2*g1^30*t^7.91*y + (3*t^8.09*y)/g1^8 + (2*t^8.27*y)/g1^46 + g1^20*t^8.27*y + (2*t^8.45*y)/g1^18 + 3*g1^10*t^8.64*y + (2*t^8.82*y)/g1^28 - (t^8.99*y)/g1^66 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6505 | $M_1q_1q_2$ + $ 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_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_2X_1$ + $ M_8^2$ | 0.562 | 0.7104 | 0.7911 | [X:[1.1875], M:[0.9375, 0.8125, 1.0625, 0.6875, 1.3125, 1.0625, 0.75, 1.0], q:[0.6562, 0.4062], qb:[0.2812, 0.9062], phi:[0.4375]] | t^2.06 + t^2.25 + t^2.62 + t^3. + 2*t^3.19 + t^3.38 + t^3.56 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + 2*t^4.69 + t^4.88 + t^5.06 + 4*t^5.25 + 2*t^5.44 + 2*t^5.62 + 2*t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 36831/65536, c: 46559/65536, X1: 19/16, M1: 15/16, M2: 13/16, M3: 17/16, M4: 11/16, M5: 21/16, M6: 17/16, M7: 3/4, M8: 1, q1: 21/32, q2: 13/32, qb1: 9/32, qb2: 29/32, phi1: 7/16} |
| 6479 | $M_1q_1q_2$ + $ 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_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_2X_1$ + $ M_9\phi_1q_2\tilde{q}_1$ | 0.6041 | 0.7673 | 0.7874 | [X:[1.3387], M:[1.0337, 0.6613, 0.9663, 0.7287, 1.2713, 0.9663, 0.915, 0.78, 0.8475], q:[0.6356, 0.3306], qb:[0.3981, 0.9406], phi:[0.4238]] | t^2.19 + t^2.34 + 2*t^2.54 + t^2.74 + 2*t^2.9 + t^3.81 + t^4.02 + t^4.37 + t^4.53 + t^4.68 + 3*t^4.73 + 2*t^4.88 + t^4.93 + 6*t^5.09 + 2*t^5.24 + 2*t^5.29 + 3*t^5.44 + t^5.49 + t^5.64 + 2*t^5.8 - 2*t^6. - t^4.27/y - t^4.27*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2702 | 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_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1q_1\tilde{q}_2$ | 0.5957 | 0.7565 | 0.7874 | [X:[], M:[1.011, 0.6969, 0.989, 0.719, 1.281, 0.989, 0.8761], q:[0.6405, 0.3485], qb:[0.3706, 0.9325], phi:[0.427]] | t^2.09 + t^2.16 + t^2.56 + t^2.63 + 2*t^2.97 + t^3.44 + t^3.5 + t^3.84 + t^4.18 + t^4.25 + t^4.31 + t^4.65 + 3*t^4.72 + t^4.79 + 2*t^5.06 + 3*t^5.12 + t^5.19 + t^5.26 + 2*t^5.53 + 3*t^5.6 + t^5.66 + 3*t^5.93 - t^6. - t^4.28/y - t^4.28*y | detail |