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 |
|---|---|---|---|---|---|---|---|---|---|
| 4410 | 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_3M_5$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ + $ M_1X_1$ | 0.5864 | 0.74 | 0.7924 | [X:[1.3391], M:[0.6609, 1.1526, 1.034, 0.7288, 0.966, 1.2712, 0.7288, 0.7795], q:[0.9407, 0.3984], qb:[0.3304, 0.6356], phi:[0.4237]] | [X:[[22]], M:[[-22], [4], [14], [6], [-14], [-6], [6], [-32]], q:[[5], [17]], qb:[[-11], [-3]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_8$, $ M_5$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_8$, $ M_7M_8$, $ M_8^2$, $ q_1\tilde{q}_2$, $ M_4M_5$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_5M_8$, $ M_3M_4$, $ M_3M_7$, $ \phi_1q_1q_2$, $ M_3M_8$, $ M_4\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_8\phi_1\tilde{q}_1^2$, $ M_2M_4$, $ M_2M_7$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_2M_8$, $ M_8\phi_1q_2\tilde{q}_1$ | . | -2 | 2*t^2.19 + t^2.34 + t^2.9 + t^3.1 + t^3.25 + 2*t^3.46 + t^4.02 + 3*t^4.37 + 2*t^4.52 + t^4.68 + t^4.73 + 2*t^5.08 + t^5.24 + 2*t^5.29 + 2*t^5.44 + t^5.59 + 3*t^5.64 + 2*t^5.8 - 2*t^6. + t^6.15 + 2*t^6.2 + 2*t^6.36 + t^6.51 + 4*t^6.56 + 3*t^6.71 + 2*t^6.86 + 2*t^6.92 + t^7.02 + t^7.27 + 2*t^7.42 + 3*t^7.48 + t^7.57 + 2*t^7.63 + 2*t^7.78 + 3*t^7.83 + t^7.93 + 3*t^7.98 + t^8.03 + 2*t^8.13 - 4*t^8.19 - t^8.34 + 2*t^8.39 + t^8.49 + 2*t^8.54 + 3*t^8.69 + 4*t^8.75 + t^8.85 - t^4.27/y - t^6.46/y - t^6.61/y + t^7.37/y + (2*t^7.52)/y + t^7.93/y + (3*t^8.08)/y + t^8.24/y + (2*t^8.29)/y + (3*t^8.44)/y + t^8.59/y + (3*t^8.64)/y + t^8.8/y - t^8.95/y - t^4.27*y - t^6.46*y - t^6.61*y + t^7.37*y + 2*t^7.52*y + t^7.93*y + 3*t^8.08*y + t^8.24*y + 2*t^8.29*y + 3*t^8.44*y + t^8.59*y + 3*t^8.64*y + t^8.8*y - t^8.95*y | 2*g1^6*t^2.19 + t^2.34/g1^32 + t^2.9/g1^14 + g1^14*t^3.1 + t^3.25/g1^24 + 2*g1^4*t^3.46 + g1^22*t^4.02 + 3*g1^12*t^4.37 + (2*t^4.52)/g1^26 + t^4.68/g1^64 + g1^2*t^4.73 + (2*t^5.08)/g1^8 + t^5.24/g1^46 + 2*g1^20*t^5.29 + (2*t^5.44)/g1^18 + t^5.59/g1^56 + 3*g1^10*t^5.64 + (2*t^5.8)/g1^28 - 2*t^6. + t^6.15/g1^38 + 2*g1^28*t^6.2 + (2*t^6.36)/g1^10 + t^6.51/g1^48 + 4*g1^18*t^6.56 + (3*t^6.71)/g1^20 + (2*t^6.86)/g1^58 + 2*g1^8*t^6.92 + t^7.02/g1^96 + t^7.27/g1^2 + (2*t^7.42)/g1^40 + 3*g1^26*t^7.48 + t^7.57/g1^78 + (2*t^7.63)/g1^12 + (2*t^7.78)/g1^50 + 3*g1^16*t^7.83 + t^7.93/g1^88 + (3*t^7.98)/g1^22 + g1^44*t^8.03 + (2*t^8.13)/g1^60 - 4*g1^6*t^8.19 - t^8.34/g1^32 + 2*g1^34*t^8.39 + t^8.49/g1^70 + (2*t^8.54)/g1^4 + (3*t^8.69)/g1^42 + 4*g1^24*t^8.75 + t^8.85/g1^80 - t^4.27/(g1^2*y) - (g1^4*t^6.46)/y - t^6.61/(g1^34*y) + (g1^12*t^7.37)/y + (2*t^7.52)/(g1^26*y) + (g1^30*t^7.93)/y + (3*t^8.08)/(g1^8*y) + t^8.24/(g1^46*y) + (2*g1^20*t^8.29)/y + (3*t^8.44)/(g1^18*y) + t^8.59/(g1^56*y) + (3*g1^10*t^8.64)/y + t^8.8/(g1^28*y) - t^8.95/(g1^66*y) - (t^4.27*y)/g1^2 - g1^4*t^6.46*y - (t^6.61*y)/g1^34 + g1^12*t^7.37*y + (2*t^7.52*y)/g1^26 + g1^30*t^7.93*y + (3*t^8.08*y)/g1^8 + (t^8.24*y)/g1^46 + 2*g1^20*t^8.29*y + (3*t^8.44*y)/g1^18 + (t^8.59*y)/g1^56 + 3*g1^10*t^8.64*y + (t^8.8*y)/g1^28 - (t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 5902 | $M_1q_1q_2$ + $ 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_3M_5$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ + $ M_1X_1$ + $ M_5M_8$ | 0.568 | 0.7174 | 0.7917 | [X:[1.2174], M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.6957, 0.9565], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | 2*t^2.09 + 2*t^2.87 + t^3.13 + 2*t^3.39 + 2*t^3.65 + 3*t^4.17 + t^4.7 + 4*t^4.96 + 2*t^5.22 + 3*t^5.48 + 5*t^5.74 - t^6. - t^4.3/y - t^4.3*y | detail | {a: 110571/194672, c: 69833/97336, X1: 28/23, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 16/23, M8: 22/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23} |
| 5901 | $M_1q_1q_2$ + $ 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_3M_5$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ + $ M_1X_1$ + $ M_8^2$ | 0.5583 | 0.7067 | 0.79 | [X:[1.1875], M:[0.8125, 1.125, 0.9375, 0.6875, 1.0625, 1.3125, 0.6875, 1.0], q:[0.9062, 0.2812], qb:[0.4062, 0.6562], phi:[0.4375]] | 2*t^2.06 + t^2.81 + t^3. + t^3.19 + 2*t^3.38 + t^3.56 + t^3.75 + 3*t^4.12 + t^4.69 + 2*t^4.88 + 2*t^5.06 + 2*t^5.25 + 3*t^5.44 + 2*t^5.62 + 2*t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 9147/16384, c: 11579/16384, X1: 19/16, M1: 13/16, M2: 9/8, M3: 15/16, M4: 11/16, M5: 17/16, M6: 21/16, M7: 11/16, M8: 1, q1: 29/32, q2: 9/32, qb1: 13/32, qb2: 21/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2385 | 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_3M_5$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ | 0.5909 | 0.7517 | 0.786 | [X:[], M:[0.6939, 1.1466, 1.013, 0.7199, 0.987, 1.2801, 0.7199], q:[0.9332, 0.3729], qb:[0.3469, 0.6401], phi:[0.4267]] | t^2.08 + 2*t^2.16 + t^2.96 + t^3.04 + t^3.36 + 2*t^3.44 + t^3.52 + t^4.16 + 2*t^4.24 + 3*t^4.32 + t^4.72 + t^5.04 + 3*t^5.12 + 2*t^5.2 + t^5.44 + 3*t^5.52 + 4*t^5.6 + 2*t^5.68 - 2*t^6. - t^4.28/y - t^4.28*y | detail |