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 |
|---|---|---|---|---|---|---|---|---|---|
| 47144 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6296 | 0.8171 | 0.7705 | [X:[], M:[1.0, 0.9072, 0.692, 1.0464, 0.7384], q:[0.7616, 0.2384], qb:[0.5464, 0.5464], phi:[0.4768]] | [X:[], M:[[0], [-8], [-5], [4], [-1]], q:[[1], [-1]], qb:[[4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_3$, $ M_2M_5$, $ M_3\phi_1^2$, $ M_1M_3$, $ M_5\phi_1^2$, $ M_3M_4$, $ M_1M_5$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2^2$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_1M_2$, $ \phi_1^4$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_3\phi_1q_2\tilde{q}_2$ | $M_4\phi_1^2$, $ M_3q_1\tilde{q}_2$ | -2 | t^2.08 + t^2.22 + 2*t^2.35 + t^2.72 + t^2.86 + t^3. + t^3.14 + t^3.78 + t^3.92 + t^4.15 + t^4.29 + 3*t^4.43 + 2*t^4.57 + 6*t^4.71 + t^4.8 + 2*t^4.94 + 2*t^5.08 + 4*t^5.22 + 3*t^5.35 + t^5.44 + 2*t^5.49 + t^5.58 + 2*t^5.72 + 2*t^5.86 - 2*t^6. + 3*t^6.14 + t^6.23 + 2*t^6.28 + t^6.37 + 2*t^6.51 + 3*t^6.65 + 6*t^6.78 + t^6.87 + 4*t^6.92 + 2*t^7.01 + 9*t^7.06 + 3*t^7.15 + 5*t^7.29 + 4*t^7.43 + t^7.52 + 7*t^7.57 + 2*t^7.66 + 5*t^7.71 + 3*t^7.8 + 4*t^7.85 + 4*t^7.94 + t^8.08 + t^8.16 + 2*t^8.3 - 5*t^8.35 + 3*t^8.44 + 4*t^8.49 + 4*t^8.58 + 4*t^8.63 + t^8.72 + 2*t^8.86 + t^8.95 - t^4.43/y - t^6.51/y - t^6.65/y - t^7.15/y + t^7.29/y + (2*t^7.43)/y + (2*t^7.57)/y + (2*t^7.71)/y + t^7.8/y + (2*t^7.94)/y + (4*t^8.08)/y + (5*t^8.22)/y + (4*t^8.35)/y + (2*t^8.49)/y + (2*t^8.86)/y - t^4.43*y - t^6.51*y - t^6.65*y - t^7.15*y + t^7.29*y + 2*t^7.43*y + 2*t^7.57*y + 2*t^7.71*y + t^7.8*y + 2*t^7.94*y + 4*t^8.08*y + 5*t^8.22*y + 4*t^8.35*y + 2*t^8.49*y + 2*t^8.86*y | t^2.08/g1^5 + t^2.22/g1 + 2*g1^3*t^2.35 + t^2.72/g1^8 + t^2.86/g1^4 + t^3. + g1^4*t^3.14 + g1*t^3.78 + g1^5*t^3.92 + t^4.15/g1^10 + t^4.29/g1^6 + (3*t^4.43)/g1^2 + 2*g1^2*t^4.57 + 6*g1^6*t^4.71 + t^4.8/g1^13 + (2*t^4.94)/g1^9 + (2*t^5.08)/g1^5 + (4*t^5.22)/g1 + 3*g1^3*t^5.35 + t^5.44/g1^16 + 2*g1^7*t^5.49 + t^5.58/g1^12 + (2*t^5.72)/g1^8 + (2*t^5.86)/g1^4 - 2*t^6. + 3*g1^4*t^6.14 + t^6.23/g1^15 + 2*g1^8*t^6.28 + t^6.37/g1^11 + (2*t^6.51)/g1^7 + (3*t^6.65)/g1^3 + 6*g1*t^6.78 + t^6.87/g1^18 + 4*g1^5*t^6.92 + (2*t^7.01)/g1^14 + 9*g1^9*t^7.06 + (3*t^7.15)/g1^10 + (5*t^7.29)/g1^6 + (4*t^7.43)/g1^2 + t^7.52/g1^21 + 7*g1^2*t^7.57 + (2*t^7.66)/g1^17 + 5*g1^6*t^7.71 + (3*t^7.8)/g1^13 + 4*g1^10*t^7.85 + (4*t^7.94)/g1^9 + t^8.08/g1^5 + t^8.16/g1^24 + (2*t^8.3)/g1^20 - 5*g1^3*t^8.35 + (3*t^8.44)/g1^16 + 4*g1^7*t^8.49 + (4*t^8.58)/g1^12 + 4*g1^11*t^8.63 + t^8.72/g1^8 + (2*t^8.86)/g1^4 + t^8.95/g1^23 - t^4.43/(g1^2*y) - t^6.51/(g1^7*y) - t^6.65/(g1^3*y) - t^7.15/(g1^10*y) + t^7.29/(g1^6*y) + (2*t^7.43)/(g1^2*y) + (2*g1^2*t^7.57)/y + (2*g1^6*t^7.71)/y + t^7.8/(g1^13*y) + (2*t^7.94)/(g1^9*y) + (4*t^8.08)/(g1^5*y) + (5*t^8.22)/(g1*y) + (4*g1^3*t^8.35)/y + (2*g1^7*t^8.49)/y + (2*t^8.86)/(g1^4*y) - (t^4.43*y)/g1^2 - (t^6.51*y)/g1^7 - (t^6.65*y)/g1^3 - (t^7.15*y)/g1^10 + (t^7.29*y)/g1^6 + (2*t^7.43*y)/g1^2 + 2*g1^2*t^7.57*y + 2*g1^6*t^7.71*y + (t^7.8*y)/g1^13 + (2*t^7.94*y)/g1^9 + (4*t^8.08*y)/g1^5 + (5*t^8.22*y)/g1 + 4*g1^3*t^8.35*y + 2*g1^7*t^8.49*y + (2*t^8.86*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55515 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_2M_3$ | 0.5919 | 0.7794 | 0.7594 | [X:[], M:[1.0, 1.1538, 0.8462, 0.9231, 0.7692], q:[0.7308, 0.2692], qb:[0.4231, 0.4231], phi:[0.5385]] | 2*t^2.08 + t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + 2*t^3.46 + t^3.69 + 6*t^4.15 + 2*t^4.38 + 3*t^4.62 + 3*t^4.85 + 4*t^5.08 + 4*t^5.31 + 4*t^5.54 + 5*t^5.77 - t^6. - t^4.62/y - t^4.62*y | detail | {a: 2601/4394, c: 27399/35152, M1: 1, M2: 15/13, M3: 11/13, M4: 12/13, M5: 10/13, q1: 19/26, q2: 7/26, qb1: 11/26, qb2: 11/26, phi1: 7/13} |
| 55531 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_2M_6$ | 0.6243 | 0.8105 | 0.7702 | [X:[], M:[1.0, 0.9796, 0.7372, 1.0102, 0.7474, 1.0204], q:[0.7526, 0.2474], qb:[0.5102, 0.5102], phi:[0.4949]] | t^2.21 + t^2.24 + 2*t^2.27 + t^2.97 + t^3. + t^3.03 + t^3.06 + t^3.76 + t^3.79 + t^4.42 + t^4.45 + 3*t^4.48 + 2*t^4.52 + 6*t^4.55 + t^5.18 + 4*t^5.24 + 4*t^5.27 + 3*t^5.3 + 2*t^5.33 + t^5.94 + t^5.97 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 55437 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ | 0.609 | 0.7775 | 0.7832 | [X:[], M:[1.0, 0.9148, 0.6967, 1.0426, 0.7393, 1.3033], q:[0.7607, 0.2393], qb:[0.5426, 0.5426], phi:[0.4787]] | t^2.22 + 2*t^2.35 + t^2.74 + t^2.87 + t^3. + t^3.13 + t^3.78 + 2*t^3.91 + t^4.44 + 2*t^4.56 + 6*t^4.69 + t^4.96 + t^5.09 + 3*t^5.22 + 3*t^5.35 + 2*t^5.47 + t^5.49 + t^5.62 + 2*t^5.74 + t^5.87 - 3*t^6. - t^4.44/y - t^4.44*y | detail | |
| 55666 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_4M_6$ | 0.6347 | 0.8261 | 0.7683 | [X:[], M:[1.0, 0.8737, 0.6711, 1.0632, 0.7342, 0.9368], q:[0.7658, 0.2342], qb:[0.5632, 0.5632], phi:[0.4684]] | t^2.01 + t^2.2 + 2*t^2.39 + t^2.62 + 2*t^2.81 + t^3. + t^3.8 + t^3.99 + t^4.03 + t^4.22 + 3*t^4.41 + 2*t^4.59 + t^4.63 + 6*t^4.78 + 3*t^4.82 + 3*t^5.01 + 5*t^5.2 + t^5.24 + 2*t^5.39 + 2*t^5.43 + 4*t^5.62 + 2*t^5.81 - 3*t^6. - t^4.41/y - t^4.41*y | detail | |
| 55504 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3X_1$ | 0.5855 | 0.7462 | 0.7846 | [X:[1.4286], M:[1.0, 0.7143, 0.5714, 1.1429, 0.7143], q:[0.7857, 0.2143], qb:[0.6429, 0.6429], phi:[0.4286]] | 2*t^2.14 + 3*t^2.57 + t^3. + t^3.43 + t^3.86 + 5*t^4.29 + 4*t^4.71 + 11*t^5.14 + 4*t^5.57 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 459/784, c: 585/784, X1: 10/7, M1: 1, M2: 5/7, M3: 4/7, M4: 8/7, M5: 5/7, q1: 11/14, q2: 3/14, qb1: 9/14, qb2: 9/14, phi1: 3/7} |
| 55542 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_5M_6$ | 0.6101 | 0.7813 | 0.7809 | [X:[], M:[1.0, 0.9106, 0.6941, 1.0447, 0.7388, 1.2612], q:[0.7612, 0.2388], qb:[0.5447, 0.5447], phi:[0.4776]] | t^2.08 + 2*t^2.35 + t^2.73 + t^2.87 + t^3. + t^3.13 + 2*t^3.78 + t^3.92 + t^4.16 + 2*t^4.43 + 6*t^4.7 + t^4.81 + t^4.95 + t^5.08 + 3*t^5.22 + 2*t^5.35 + t^5.46 + 2*t^5.48 + t^5.6 + 2*t^5.73 + 3*t^5.87 - 3*t^6. - t^4.43/y - t^4.43*y | detail | |
| 55490 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6491 | 0.853 | 0.761 | [X:[], M:[1.0, 0.9038, 0.6899, 1.0481, 0.738, 0.738], q:[0.762, 0.238], qb:[0.5481, 0.5481], phi:[0.476]] | t^2.07 + 2*t^2.21 + 2*t^2.36 + t^2.71 + t^2.86 + t^3. + t^3.14 + t^3.93 + t^4.14 + 2*t^4.28 + 5*t^4.43 + 4*t^4.57 + 6*t^4.72 + t^4.78 + 3*t^4.93 + 3*t^5.07 + 5*t^5.21 + 4*t^5.36 + t^5.42 + 2*t^5.5 + t^5.57 + 2*t^5.71 + t^5.86 - 3*t^6. - t^4.43/y - t^4.43*y | detail | |
| 55472 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.6503 | 0.8573 | 0.7586 | [X:[], M:[1.0, 0.9016, 0.6885, 1.0492, 0.7377, 0.6885], q:[0.7623, 0.2377], qb:[0.5492, 0.5492], phi:[0.4754]] | 2*t^2.07 + t^2.21 + 2*t^2.36 + t^2.7 + t^2.85 + t^3. + t^3.15 + t^3.79 + 3*t^4.13 + 2*t^4.28 + 5*t^4.43 + 2*t^4.57 + 6*t^4.72 + 2*t^4.77 + 3*t^4.92 + 3*t^5.07 + 5*t^5.21 + 3*t^5.36 + t^5.41 + 2*t^5.51 + t^5.56 + 2*t^5.7 + 3*t^5.85 - 3*t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46537 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6299 | 0.819 | 0.7691 | [X:[], M:[1.0, 0.9106, 0.6816, 1.0447, 0.7262], q:[0.7612, 0.2388], qb:[0.5573, 0.5321], phi:[0.4777]] | t^2.04 + t^2.18 + t^2.31 + t^2.39 + t^2.73 + t^2.87 + t^3. + t^3.13 + t^3.75 + t^3.88 + t^4.09 + t^4.22 + 2*t^4.36 + t^4.43 + t^4.49 + t^4.57 + 2*t^4.63 + 2*t^4.7 + 3*t^4.78 + 2*t^4.91 + 2*t^5.04 + 3*t^5.18 + t^5.25 + 2*t^5.31 + t^5.39 + t^5.45 + t^5.46 + t^5.52 + t^5.6 + 2*t^5.73 + t^5.79 + t^5.87 + t^5.92 - 2*t^6. - t^4.43/y - t^4.43*y | detail |