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 |
|---|---|---|---|---|---|---|---|---|---|
| 2105 | 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_5M_6$ + $ \phi_1q_1\tilde{q}_2$ | 0.6038 | 0.7739 | 0.7802 | [X:[], M:[1.0166, 0.6882, 0.9834, 0.7214, 1.2786, 0.7214], q:[0.6393, 0.3441], qb:[0.3773, 0.9345], phi:[0.4262]] | [X:[], M:[[14], [-22], [-14], [6], [-6], [6]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_4$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_3$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_1M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1q_2^2$, $ M_3\phi_1^2$, $ M_4\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ M_1\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_6\phi_1q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_3^2$, $ \phi_1^3q_2^2$ | $\phi_1^3q_2\tilde{q}_1$ | -1 | t^2.06 + 2*t^2.16 + t^2.56 + t^2.95 + t^3.05 + t^3.34 + t^3.44 + t^3.54 + t^4.13 + 2*t^4.23 + 3*t^4.33 + t^4.62 + 3*t^4.72 + t^5.01 + 4*t^5.11 + 2*t^5.21 + t^5.41 + 3*t^5.51 + 3*t^5.61 + 2*t^5.71 + t^5.9 - t^6. + t^6.1 + t^6.19 + 3*t^6.29 + 3*t^6.39 + 4*t^6.49 + t^6.59 + 2*t^6.69 + 2*t^6.79 + 3*t^6.89 + 2*t^7.08 + 3*t^7.18 + 5*t^7.28 + t^7.38 + t^7.47 + 3*t^7.57 + 6*t^7.67 + 4*t^7.77 + 3*t^7.87 + t^7.97 + t^8.06 - 2*t^8.16 + 3*t^8.26 + 3*t^8.36 + 5*t^8.46 + t^8.56 + 5*t^8.66 + 2*t^8.75 + 2*t^8.76 + 4*t^8.85 - 2*t^8.95 - t^4.28/y - t^6.34/y - t^6.44/y - t^6.84/y + (2*t^7.23)/y + t^7.33/y + t^7.62/y + (3*t^7.72)/y + t^8.01/y + (4*t^8.11)/y + (3*t^8.21)/y + (3*t^8.51)/y + (3*t^8.61)/y + (2*t^8.71)/y - t^4.28*y - t^6.34*y - t^6.44*y - t^6.84*y + 2*t^7.23*y + t^7.33*y + t^7.62*y + 3*t^7.72*y + t^8.01*y + 4*t^8.11*y + 3*t^8.21*y + 3*t^8.51*y + 3*t^8.61*y + 2*t^8.71*y | t^2.06/g1^22 + 2*g1^6*t^2.16 + t^2.56/g1^4 + t^2.95/g1^14 + g1^14*t^3.05 + t^3.34/g1^24 + g1^4*t^3.44 + g1^32*t^3.54 + t^4.13/g1^44 + (2*t^4.23)/g1^16 + 3*g1^12*t^4.33 + t^4.62/g1^26 + 3*g1^2*t^4.72 + t^5.01/g1^36 + (4*t^5.11)/g1^8 + 2*g1^20*t^5.21 + t^5.41/g1^46 + (3*t^5.51)/g1^18 + 3*g1^10*t^5.61 + 2*g1^38*t^5.71 + t^5.9/g1^28 - t^6. + g1^28*t^6.1 + t^6.19/g1^66 + (3*t^6.29)/g1^38 + (3*t^6.39)/g1^10 + 4*g1^18*t^6.49 + g1^46*t^6.59 + (2*t^6.69)/g1^48 + (2*t^6.79)/g1^20 + 3*g1^8*t^6.89 + t^7.08/g1^58 + g1^64*t^7.08 + (3*t^7.18)/g1^30 + (5*t^7.28)/g1^2 + g1^26*t^7.38 + t^7.47/g1^68 + (3*t^7.57)/g1^40 + (6*t^7.67)/g1^12 + 4*g1^16*t^7.77 + 3*g1^44*t^7.87 + t^7.97/g1^50 + t^8.06/g1^22 - 2*g1^6*t^8.16 + t^8.26/g1^88 + 2*g1^34*t^8.26 + (3*t^8.36)/g1^60 + (5*t^8.46)/g1^32 + t^8.56/g1^4 + 5*g1^24*t^8.66 + (2*t^8.75)/g1^70 + 2*g1^52*t^8.76 + (4*t^8.85)/g1^42 - (2*t^8.95)/g1^14 - t^4.28/(g1^2*y) - t^6.34/(g1^24*y) - (g1^4*t^6.44)/y - t^6.84/(g1^6*y) + (2*t^7.23)/(g1^16*y) + (g1^12*t^7.33)/y + t^7.62/(g1^26*y) + (3*g1^2*t^7.72)/y + t^8.01/(g1^36*y) + (4*t^8.11)/(g1^8*y) + (3*g1^20*t^8.21)/y + (3*t^8.51)/(g1^18*y) + (3*g1^10*t^8.61)/y + (2*g1^38*t^8.71)/y - (t^4.28*y)/g1^2 - (t^6.34*y)/g1^24 - g1^4*t^6.44*y - (t^6.84*y)/g1^6 + (2*t^7.23*y)/g1^16 + g1^12*t^7.33*y + (t^7.62*y)/g1^26 + 3*g1^2*t^7.72*y + (t^8.01*y)/g1^36 + (4*t^8.11*y)/g1^8 + 3*g1^20*t^8.21*y + (3*t^8.51*y)/g1^18 + 3*g1^10*t^8.61*y + 2*g1^38*t^8.71*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 |
|---|---|---|---|---|---|---|---|---|
| 3197 | $M_1q_1q_2$ + $ 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_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ | 0.593 | 0.7615 | 0.7788 | [X:[], M:[0.9565, 0.7826, 1.0435, 0.6957, 1.3043, 0.6957], q:[0.6522, 0.3913], qb:[0.3043, 0.913], phi:[0.4348]] | 2*t^2.09 + t^2.35 + t^2.61 + t^2.87 + 2*t^3.13 + t^3.39 + t^3.65 + 3*t^4.17 + 2*t^4.43 + 4*t^4.7 + 3*t^4.96 + 6*t^5.22 + 4*t^5.48 + 4*t^5.74 + t^6. - t^4.3/y - t^4.3*y | detail | {a: 57723/97336, c: 37061/48668, M1: 22/23, M2: 18/23, M3: 24/23, M4: 16/23, M5: 30/23, M6: 16/23, q1: 15/23, q2: 9/23, qb1: 7/23, qb2: 21/23, phi1: 10/23} |
| 3198 | $M_1q_1q_2$ + $ 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_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6167 | 0.7962 | 0.7746 | [X:[], M:[1.0202, 0.6826, 0.9798, 0.7229, 1.2771, 0.7229, 0.8514], q:[0.6385, 0.3413], qb:[0.3816, 0.9358], phi:[0.4257]] | t^2.05 + 2*t^2.17 + 2*t^2.55 + t^2.94 + t^3.06 + t^3.32 + t^3.57 + t^4.1 + 2*t^4.22 + 3*t^4.34 + 2*t^4.6 + 5*t^4.72 + t^4.99 + 6*t^5.11 + 2*t^5.23 + t^5.37 + 3*t^5.49 + 2*t^5.61 + 2*t^5.74 + 2*t^5.88 - 2*t^6. - t^4.28/y - t^4.28*y | detail | |
| 3199 | $M_1q_1q_2$ + $ 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_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.6156 | 0.7946 | 0.7748 | [X:[], M:[0.9952, 0.7218, 1.0048, 0.7122, 1.2878, 0.7122, 0.8489], q:[0.6439, 0.3609], qb:[0.3513, 0.9269], phi:[0.4293]] | 2*t^2.14 + t^2.17 + t^2.55 + t^2.58 + t^2.99 + t^3.01 + t^3.4 + t^3.42 + 3*t^4.27 + 2*t^4.3 + t^4.33 + 2*t^4.68 + 4*t^4.71 + t^4.74 + t^5.09 + 3*t^5.12 + 4*t^5.15 + t^5.18 + 3*t^5.53 + 4*t^5.56 + t^5.59 + t^5.94 + 2*t^5.97 - t^6. - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 993 | 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_5M_6$ | 0.7055 | 0.8657 | 0.8149 | [X:[], M:[1.0376, 0.878, 0.9624, 0.9531, 1.0469, 0.9531], q:[0.5235, 0.439], qb:[0.5141, 0.6079], phi:[0.4789]] | t^2.63 + 2*t^2.86 + t^2.87 + t^2.89 + t^3.11 + t^3.39 + t^4.07 + t^4.3 + t^4.32 + t^4.52 + t^4.55 + 2*t^4.58 + t^4.8 + t^4.83 + t^5.08 + t^5.27 + t^5.49 + t^5.51 + t^5.52 + 2*t^5.72 + 2*t^5.73 + 2*t^5.75 + t^5.76 + t^5.97 + t^5.99 - 3*t^6. - t^4.44/y - t^4.44*y | detail |