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 |
|---|---|---|---|---|---|---|---|---|---|
| 47192 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_5$ | 0.5838 | 0.7365 | 0.7926 | [X:[], M:[1.2777, 1.0186, 0.7223, 0.685, 0.9814], q:[0.3425, 0.3798], qb:[0.6389, 0.9352], phi:[0.4259]] | [X:[], M:[[-6], [14], [6], [-22], [-14]], q:[[-11], [17]], qb:[[-3], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ \phi_1^2$, $ M_5$, $ M_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_1$, $ M_4^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4\phi_1^2$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_2\tilde{q}_2$, $ M_4\phi_1q_1^2$, $ M_5\phi_1^2$, $ M_4\phi_1q_1q_2$, $ M_2\phi_1^2$, $ M_4\phi_1q_2^2$, $ M_3\phi_1q_2^2$, $ M_1M_4$, $ M_5^2$, $ \phi_1^3q_1^2$ | $\phi_1^3q_1q_2$ | 0 | t^2.05 + t^2.17 + t^2.56 + t^2.94 + t^3.06 + t^3.33 + t^3.44 + t^3.56 + t^3.83 + t^4.11 + t^4.22 + t^4.33 + t^4.61 + 2*t^4.72 + t^5. + 3*t^5.11 + t^5.22 + t^5.39 + 2*t^5.5 + 2*t^5.61 + t^5.72 + 2*t^5.89 + t^6.11 + t^6.16 + 2*t^6.28 + 2*t^6.39 + t^6.5 + t^6.61 + 2*t^6.67 + 2*t^6.78 + t^6.89 + t^7.05 + t^7.11 + 3*t^7.17 + 2*t^7.28 + t^7.44 + 2*t^7.55 + 4*t^7.67 + t^7.78 + t^7.89 + 2*t^7.94 + t^8.05 + t^8.22 + t^8.28 + 2*t^8.33 + 3*t^8.44 + t^8.67 + 2*t^8.72 + t^8.78 + 3*t^8.83 - t^8.94 - t^4.28/y - t^6.33/y - t^6.83/y + t^7.22/y + t^7.61/y + (2*t^7.72)/y + t^8./y + (2*t^8.11)/y + (2*t^8.22)/y + (3*t^8.5)/y + (3*t^8.61)/y + t^8.72/y + t^8.89/y - t^4.28*y - t^6.33*y - t^6.83*y + t^7.22*y + t^7.61*y + 2*t^7.72*y + t^8.*y + 2*t^8.11*y + 2*t^8.22*y + 3*t^8.5*y + 3*t^8.61*y + t^8.72*y + t^8.89*y | t^2.05/g1^22 + g1^6*t^2.17 + t^2.56/g1^4 + t^2.94/g1^14 + g1^14*t^3.06 + t^3.33/g1^24 + g1^4*t^3.44 + g1^32*t^3.56 + t^3.83/g1^6 + t^4.11/g1^44 + t^4.22/g1^16 + g1^12*t^4.33 + t^4.61/g1^26 + 2*g1^2*t^4.72 + t^5./g1^36 + (3*t^5.11)/g1^8 + g1^20*t^5.22 + t^5.39/g1^46 + (2*t^5.5)/g1^18 + 2*g1^10*t^5.61 + g1^38*t^5.72 + (2*t^5.89)/g1^28 + g1^28*t^6.11 + t^6.16/g1^66 + (2*t^6.28)/g1^38 + (2*t^6.39)/g1^10 + g1^18*t^6.5 + g1^46*t^6.61 + (2*t^6.67)/g1^48 + (2*t^6.78)/g1^20 + g1^8*t^6.89 + t^7.05/g1^58 + g1^64*t^7.11 + (3*t^7.17)/g1^30 + (2*t^7.28)/g1^2 + t^7.44/g1^68 + (2*t^7.55)/g1^40 + (4*t^7.67)/g1^12 + g1^16*t^7.78 + g1^44*t^7.89 + (2*t^7.94)/g1^50 + t^8.05/g1^22 + t^8.22/g1^88 + g1^34*t^8.28 + (2*t^8.33)/g1^60 + (3*t^8.44)/g1^32 + g1^24*t^8.67 + (2*t^8.72)/g1^70 + g1^52*t^8.78 + (3*t^8.83)/g1^42 - t^8.94/g1^14 - t^4.28/(g1^2*y) - t^6.33/(g1^24*y) - t^6.83/(g1^6*y) + t^7.22/(g1^16*y) + t^7.61/(g1^26*y) + (2*g1^2*t^7.72)/y + t^8./(g1^36*y) + (2*t^8.11)/(g1^8*y) + (2*g1^20*t^8.22)/y + (3*t^8.5)/(g1^18*y) + (3*g1^10*t^8.61)/y + (g1^38*t^8.72)/y + t^8.89/(g1^28*y) - (t^4.28*y)/g1^2 - (t^6.33*y)/g1^24 - (t^6.83*y)/g1^6 + (t^7.22*y)/g1^16 + (t^7.61*y)/g1^26 + 2*g1^2*t^7.72*y + (t^8.*y)/g1^36 + (2*t^8.11*y)/g1^8 + 2*g1^20*t^8.22*y + (3*t^8.5*y)/g1^18 + 3*g1^10*t^8.61*y + g1^38*t^8.72*y + (t^8.89*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 53323 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1M_6$ | 0.6038 | 0.7739 | 0.7802 | [X:[], M:[1.2786, 1.0166, 0.7214, 0.6882, 0.9834, 0.7214], q:[0.3441, 0.3773], qb:[0.6393, 0.9345], phi:[0.4262]] | 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^4.28/y - t^4.28*y | detail | |
| 50777 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_5$ + $ M_4\phi_1q_1^2$ | 0.5724 | 0.7219 | 0.793 | [X:[], M:[1.3043, 0.9565, 0.6957, 0.7826, 1.0435], q:[0.3913, 0.3043], qb:[0.6522, 0.913], phi:[0.4348]] | t^2.09 + t^2.35 + t^2.61 + t^2.87 + 2*t^3.13 + t^3.39 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 3*t^4.7 + 2*t^4.96 + 4*t^5.22 + 3*t^5.48 + 3*t^5.74 + 2*t^6. - t^4.3/y - t^4.3*y | detail | {a: 4845/8464, c: 3055/4232, M1: 30/23, M2: 22/23, M3: 16/23, M4: 18/23, M5: 24/23, q1: 9/23, q2: 7/23, qb1: 15/23, qb2: 21/23, phi1: 10/23} |
| 52396 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_1q_2$ | 0.5968 | 0.7591 | 0.7862 | [X:[], M:[1.2762, 1.0223, 0.7238, 0.6793, 0.9777, 0.8508], q:[0.3396, 0.3842], qb:[0.6381, 0.9365], phi:[0.4254]] | t^2.04 + t^2.17 + 2*t^2.55 + t^2.93 + t^3.07 + t^3.31 + t^3.58 + t^3.83 + t^4.08 + t^4.21 + t^4.34 + 2*t^4.59 + 3*t^4.72 + t^4.97 + 5*t^5.1 + t^5.24 + t^5.35 + 2*t^5.49 + 2*t^5.62 + t^5.75 + 3*t^5.87 - t^6. - t^4.28/y - t^4.28*y | detail | |
| 55577 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_1^2$ | 0.5953 | 0.7562 | 0.7872 | [X:[], M:[1.2871, 0.9968, 0.7129, 0.7194, 1.0032, 0.8516], q:[0.3597, 0.3532], qb:[0.6436, 0.9274], phi:[0.429]] | t^2.14 + t^2.16 + t^2.55 + t^2.57 + t^2.99 + t^3.01 + t^3.41 + t^3.43 + t^3.86 + t^4.28 + t^4.3 + t^4.32 + t^4.69 + 3*t^4.71 + t^4.73 + t^5.11 + 2*t^5.13 + 3*t^5.15 + t^5.17 + 2*t^5.55 + 3*t^5.56 + t^5.58 + t^5.96 + 2*t^5.98 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46634 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.6574 | 0.8268 | 0.7952 | [X:[], M:[1.1451, 0.7351, 0.8549, 0.7916, 0.6718], q:[0.3958, 0.4591], qb:[0.8691, 0.7492], phi:[0.3817]] | t^2.02 + t^2.21 + t^2.29 + t^2.37 + t^2.56 + t^3.44 + t^3.52 + t^3.71 + t^3.9 + t^4.03 + t^4.22 + t^4.31 + t^4.39 + t^4.41 + t^4.5 + 3*t^4.58 + t^4.67 + t^4.75 + t^4.77 + 2*t^4.85 + t^4.94 + t^5.13 + t^5.45 + t^5.54 + t^5.64 + 2*t^5.73 + t^5.81 + t^5.89 + t^5.92 - t^6. - t^4.15/y - t^4.15*y | detail |