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 |
|---|---|---|---|---|---|---|---|---|---|
| 5088 | 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$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_8\phi_1q_2^2$ | 0.6281 | 0.8157 | 0.77 | [X:[], M:[0.9985, 0.7167, 1.0015, 0.7136, 1.2864, 0.7136, 0.8576, 0.8546], q:[0.6432, 0.3583], qb:[0.3553, 0.928], phi:[0.4288]] | [X:[], M:[[14], [-22], [-14], [6], [-6], [6], [-4], [24]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_2$, $ M_8$, $ M_7$, $ \phi_1^2$, $ M_3$, $ M_1$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_4$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_2^2$, $ M_4M_8$, $ M_6M_8$, $ M_4M_7$, $ M_6M_7$, $ M_2M_8$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_7$, $ M_2\phi_1^2$, $ M_8^2$, $ M_1M_4$, $ M_1M_6$, $ M_7M_8$, $ M_8\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_8$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_1M_7$, $ M_3M_8$, $ M_1\phi_1^2$, $ M_3M_7$, $ M_3\phi_1^2$, $ M_8\phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$ | . | -2 | 2*t^2.14 + t^2.15 + t^2.56 + 2*t^2.57 + 2*t^3. + t^3.42 + 3*t^4.28 + 2*t^4.29 + t^4.3 + 2*t^4.7 + 6*t^4.71 + 2*t^4.72 + t^5.13 + 4*t^5.14 + 7*t^5.15 + 3*t^5.56 + 3*t^5.57 + t^5.58 + t^5.98 + 2*t^5.99 - 2*t^6. + t^6.41 + 3*t^6.42 + t^6.43 + 2*t^6.44 + t^6.45 + t^6.84 + 8*t^6.85 + 4*t^6.86 + 2*t^6.87 + 2*t^7.27 + 7*t^7.28 + 12*t^7.29 + 6*t^7.3 + t^7.69 + 7*t^7.7 + 9*t^7.71 + 8*t^7.72 + t^7.73 + 3*t^8.12 + 7*t^8.13 - 2*t^8.14 - 2*t^8.15 + 5*t^8.55 + 3*t^8.56 - 7*t^8.57 + 2*t^8.59 + t^8.6 + 3*t^8.98 + 3*t^8.99 - t^4.29/y - t^6.43/y - t^6.44/y - t^6.85/y - (2*t^6.86)/y + t^7.28/y + (2*t^7.29)/y + (2*t^7.7)/y + (7*t^7.71)/y + (3*t^7.72)/y + (5*t^8.14)/y + (6*t^8.15)/y + (3*t^8.56)/y + (3*t^8.57)/y + t^8.58/y - t^8.59/y + t^8.98/y + t^8.99/y - t^4.29*y - t^6.43*y - t^6.44*y - t^6.85*y - 2*t^6.86*y + t^7.28*y + 2*t^7.29*y + 2*t^7.7*y + 7*t^7.71*y + 3*t^7.72*y + 5*t^8.14*y + 6*t^8.15*y + 3*t^8.56*y + 3*t^8.57*y + t^8.58*y - t^8.59*y + t^8.98*y + t^8.99*y | 2*g1^6*t^2.14 + t^2.15/g1^22 + g1^24*t^2.56 + (2*t^2.57)/g1^4 + t^3./g1^14 + g1^14*t^3. + g1^32*t^3.42 + 3*g1^12*t^4.28 + (2*t^4.29)/g1^16 + t^4.3/g1^44 + 2*g1^30*t^4.7 + 6*g1^2*t^4.71 + (2*t^4.72)/g1^26 + g1^48*t^5.13 + 4*g1^20*t^5.14 + t^5.15/g1^36 + (6*t^5.15)/g1^8 + 3*g1^38*t^5.56 + 3*g1^10*t^5.57 + t^5.58/g1^18 + g1^56*t^5.98 + 2*g1^28*t^5.99 - 2*t^6. + g1^46*t^6.41 + 3*g1^18*t^6.42 + t^6.43/g1^10 + (2*t^6.44)/g1^38 + t^6.45/g1^66 + g1^64*t^6.84 + 6*g1^8*t^6.85 + 2*g1^36*t^6.85 + (4*t^6.86)/g1^20 + (2*t^6.87)/g1^48 + 2*g1^54*t^7.27 + 7*g1^26*t^7.28 + (12*t^7.29)/g1^2 + t^7.3/g1^58 + (5*t^7.3)/g1^30 + g1^72*t^7.69 + 7*g1^44*t^7.7 + 9*g1^16*t^7.71 + (8*t^7.72)/g1^12 + t^7.73/g1^40 + 3*g1^62*t^8.12 + 7*g1^34*t^8.13 - 2*g1^6*t^8.14 - (2*t^8.15)/g1^22 + 4*g1^52*t^8.55 + g1^80*t^8.55 + 3*g1^24*t^8.56 - (7*t^8.57)/g1^4 + (2*t^8.59)/g1^60 + t^8.6/g1^88 + 3*g1^70*t^8.98 + 3*g1^42*t^8.99 - t^4.29/(g1^2*y) - (g1^4*t^6.43)/y - t^6.44/(g1^24*y) - (g1^22*t^6.85)/y - (2*t^6.86)/(g1^6*y) + (g1^12*t^7.28)/y + (2*t^7.29)/(g1^16*y) + (2*g1^30*t^7.7)/y + (7*g1^2*t^7.71)/y + (3*t^7.72)/(g1^26*y) + (5*g1^20*t^8.14)/y + t^8.15/(g1^36*y) + (5*t^8.15)/(g1^8*y) + (3*g1^38*t^8.56)/y + (3*g1^10*t^8.57)/y + t^8.58/(g1^18*y) - t^8.59/(g1^46*y) + (g1^56*t^8.98)/y + (g1^28*t^8.99)/y - (t^4.29*y)/g1^2 - g1^4*t^6.43*y - (t^6.44*y)/g1^24 - g1^22*t^6.85*y - (2*t^6.86*y)/g1^6 + g1^12*t^7.28*y + (2*t^7.29*y)/g1^16 + 2*g1^30*t^7.7*y + 7*g1^2*t^7.71*y + (3*t^7.72*y)/g1^26 + 5*g1^20*t^8.14*y + (t^8.15*y)/g1^36 + (5*t^8.15*y)/g1^8 + 3*g1^38*t^8.56*y + 3*g1^10*t^8.57*y + (t^8.58*y)/g1^18 - (t^8.59*y)/g1^46 + g1^56*t^8.98*y + g1^28*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 6685 | $M_1q_1q_2$ + $ 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$ + $ M_8\phi_1q_2^2$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.6424 | 0.8404 | 0.7643 | [X:[], M:[1.0204, 0.6823, 0.9796, 0.723, 1.277, 0.723, 0.8513, 0.8921, 0.8106], q:[0.6385, 0.3411], qb:[0.3819, 0.9358], phi:[0.4257]] | t^2.05 + 2*t^2.17 + t^2.43 + 2*t^2.55 + t^2.68 + t^2.94 + t^3.06 + t^4.09 + 2*t^4.22 + 3*t^4.34 + t^4.48 + 4*t^4.6 + 6*t^4.72 + 2*t^4.85 + t^4.86 + 3*t^4.99 + 7*t^5.11 + 4*t^5.23 + t^5.35 + t^5.37 + 2*t^5.49 + 2*t^5.62 + t^5.74 - 2*t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3198 | 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$ + $ 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 |