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 |
|---|---|---|---|---|---|---|---|---|---|
| 2677 | 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_3^2$ + $ M_5M_6$ + $ M_2M_4$ + $ M_2M_7$ | 0.7018 | 0.8633 | 0.8129 | [X:[], M:[0.9043, 1.0478, 1.0, 0.9522, 1.0478, 0.9522, 0.9522], q:[0.5718, 0.5239], qb:[0.4282, 0.5239], phi:[0.488]] | [X:[], M:[[-8], [4], [0], [-4], [4], [-4], [-4]], q:[[6], [2]], qb:[[-6], [2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ M_6$, $ M_7$, $ \phi_1^2$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_4$, $ M_1M_6$, $ M_1M_7$, $ M_1\phi_1^2$, $ M_1M_3$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_4M_7$, $ M_6M_7$, $ M_7^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ M_3M_4$, $ M_3M_6$, $ M_3M_7$, $ \phi_1^4$, $ M_3\phi_1^2$ | . | -4 | t^2.71 + 3*t^2.86 + t^2.93 + t^3. + t^3.29 + t^4.03 + 2*t^4.32 + t^4.46 + 3*t^4.61 + 2*t^4.75 + t^4.89 + t^5.43 + 2*t^5.57 + t^5.64 + 5*t^5.71 + 3*t^5.78 + 2*t^5.86 + t^5.93 - 4*t^6. + t^6.22 - t^6.29 - t^6.43 + t^6.57 + t^6.75 + 3*t^6.89 + t^6.96 + 2*t^7.03 - t^7.11 + 4*t^7.18 + 2*t^7.25 + 5*t^7.32 - t^7.39 + 5*t^7.46 + 2*t^7.54 + 5*t^7.61 - t^7.68 + 2*t^7.75 - t^7.82 + t^7.89 - t^7.97 + t^8.04 + t^8.07 + t^8.14 + t^8.18 + 2*t^8.28 + 3*t^8.35 + 2*t^8.43 + 3*t^8.5 + 6*t^8.57 + 8*t^8.64 + 4*t^8.78 - 12*t^8.86 + t^8.93 - t^4.46/y - t^7.18/y - t^7.32/y - t^7.39/y + t^7.54/y + t^7.61/y + t^7.75/y + (3*t^8.57)/y + t^8.64/y + (4*t^8.71)/y + (3*t^8.78)/y + (3*t^8.86)/y + t^8.93/y - t^4.46*y - t^7.18*y - t^7.32*y - t^7.39*y + t^7.54*y + t^7.61*y + t^7.75*y + 3*t^8.57*y + t^8.64*y + 4*t^8.71*y + 3*t^8.78*y + 3*t^8.86*y + t^8.93*y | t^2.71/g1^8 + (3*t^2.86)/g1^4 + t^2.93/g1^2 + t^3. + g1^8*t^3.29 + t^4.03/g1^13 + (2*t^4.32)/g1^5 + t^4.46/g1 + 3*g1^3*t^4.61 + 2*g1^7*t^4.75 + g1^11*t^4.89 + t^5.43/g1^16 + (2*t^5.57)/g1^12 + t^5.64/g1^10 + (5*t^5.71)/g1^8 + (3*t^5.78)/g1^6 + (2*t^5.86)/g1^4 + t^5.93/g1^2 - 4*t^6. + g1^6*t^6.22 - g1^8*t^6.29 - g1^12*t^6.43 + g1^16*t^6.57 + t^6.75/g1^21 + (3*t^6.89)/g1^17 + t^6.96/g1^15 + (2*t^7.03)/g1^13 - t^7.11/g1^11 + (4*t^7.18)/g1^9 + (2*t^7.25)/g1^7 + (5*t^7.32)/g1^5 - t^7.39/g1^3 + (5*t^7.46)/g1 + 2*g1*t^7.54 + 5*g1^3*t^7.61 - g1^5*t^7.68 + 2*g1^7*t^7.75 - g1^9*t^7.82 + g1^11*t^7.89 - g1^13*t^7.97 + g1^15*t^8.04 + t^8.07/g1^26 + t^8.14/g1^24 + g1^19*t^8.18 + (2*t^8.28)/g1^20 + (3*t^8.35)/g1^18 + (2*t^8.43)/g1^16 + (3*t^8.5)/g1^14 + (6*t^8.57)/g1^12 + (8*t^8.64)/g1^10 + (4*t^8.78)/g1^6 - (12*t^8.86)/g1^4 + t^8.93/g1^2 - t^4.46/(g1*y) - t^7.18/(g1^9*y) - t^7.32/(g1^5*y) - t^7.39/(g1^3*y) + (g1*t^7.54)/y + (g1^3*t^7.61)/y + (g1^7*t^7.75)/y + (3*t^8.57)/(g1^12*y) + t^8.64/(g1^10*y) + (4*t^8.71)/(g1^8*y) + (3*t^8.78)/(g1^6*y) + (3*t^8.86)/(g1^4*y) + t^8.93/(g1^2*y) - (t^4.46*y)/g1 - (t^7.18*y)/g1^9 - (t^7.32*y)/g1^5 - (t^7.39*y)/g1^3 + g1*t^7.54*y + g1^3*t^7.61*y + g1^7*t^7.75*y + (3*t^8.57*y)/g1^12 + (t^8.64*y)/g1^10 + (4*t^8.71*y)/g1^8 + (3*t^8.78*y)/g1^6 + (3*t^8.86*y)/g1^4 + (t^8.93*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4835 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_5M_6$ + $ M_2M_4$ + $ M_2M_7$ + $ M_8\phi_1^2$ | 0.6996 | 0.8592 | 0.8143 | [X:[], M:[0.9144, 1.0428, 1.0, 0.9572, 1.0428, 0.9572, 0.9572, 1.0214], q:[0.5642, 0.5214], qb:[0.4358, 0.5214], phi:[0.4893]] | t^2.74 + 3*t^2.87 + t^3. + t^3.06 + t^3.26 + t^4.08 + 2*t^4.34 + t^4.47 + 3*t^4.6 + 2*t^4.72 + t^4.85 + t^5.49 + 2*t^5.61 + 5*t^5.74 + t^5.81 + t^5.87 + 3*t^5.94 - 4*t^6. - t^4.47/y - t^4.47*y | detail | |
| 4836 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_5M_6$ + $ M_2M_4$ + $ M_2M_7$ + $ M_8q_1\tilde{q}_2$ | 0.712 | 0.8834 | 0.8059 | [X:[], M:[0.8705, 1.0648, 1.0, 0.9352, 1.0648, 0.9352, 0.9352, 0.8705], q:[0.5971, 0.5324], qb:[0.4029, 0.5324], phi:[0.4838]] | 2*t^2.61 + 3*t^2.81 + t^2.9 + t^3. + t^3.87 + 2*t^4.26 + t^4.45 + 3*t^4.65 + 2*t^4.84 + t^5.03 + 3*t^5.22 + 5*t^5.42 + 2*t^5.51 + 6*t^5.61 + 3*t^5.71 + 2*t^5.81 + t^5.9 - 5*t^6. - t^4.45/y - t^4.45*y | detail | |
| 4856 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_5M_6$ + $ M_2M_4$ + $ M_2M_7$ + $ \phi_1q_1^2$ + $ M_1X_1$ | 0.5921 | 0.7455 | 0.7942 | [X:[1.3636], M:[0.6364, 1.1818, 1.0, 0.8182, 1.1818, 0.8182, 0.8182], q:[0.7727, 0.5909], qb:[0.2273, 0.5909], phi:[0.4545]] | 3*t^2.45 + 2*t^2.73 + t^3. + 2*t^3.82 + 2*t^4.09 + 7*t^4.91 + 6*t^5.18 + 6*t^5.45 + t^5.73 - 5*t^6. - t^4.36/y - t^4.36*y | detail | {a: 12609/21296, c: 3969/5324, X1: 15/11, M1: 7/11, M2: 13/11, M3: 1, M4: 9/11, M5: 13/11, M6: 9/11, M7: 9/11, q1: 17/22, q2: 13/22, qb1: 5/22, qb2: 13/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1565 | 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_3^2$ + $ M_5M_6$ + $ M_2M_4$ | 0.6978 | 0.8558 | 0.8154 | [X:[], M:[0.9244, 1.0378, 1.0, 0.9622, 1.0378, 0.9622], q:[0.5567, 0.5189], qb:[0.4433, 0.5189], phi:[0.4906]] | t^2.77 + 2*t^2.89 + t^2.94 + t^3. + t^3.11 + t^3.23 + t^4.13 + 2*t^4.36 + t^4.47 + 3*t^4.59 + 2*t^4.7 + t^4.81 + t^5.55 + t^5.66 + t^5.72 + 2*t^5.77 + 2*t^5.83 + 2*t^5.89 + t^5.94 - 2*t^6. - t^4.47/y - t^4.47*y | detail |