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 |
|---|---|---|---|---|---|---|---|---|---|
| 3501 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_1$ | 0.6406 | 0.843 | 0.7599 | [X:[], M:[0.9525, 1.1425, 1.0475, 0.8575, 0.7138, 0.8575, 0.8088], q:[0.7381, 0.3094], qb:[0.4531, 0.4044], phi:[0.5238]] | [X:[], M:[[-4], [12], [4], [-12], [18], [-12], [26]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_7$, $ M_4$, $ M_6$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_5M_7$, $ M_7q_2\tilde{q}_2$, $ M_4M_5$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_7^2$, $ M_4q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_4M_7$, $ M_6M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3M_7$, $ M_7\phi_1^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_3M_4$, $ M_3M_6$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_7\phi_1q_2^2$, $ M_5\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$ | -1 | 2*t^2.14 + t^2.29 + t^2.43 + 2*t^2.57 + 2*t^3.14 + t^3.43 + t^3.71 + t^4. + t^4.14 + 3*t^4.28 + t^4.29 + 2*t^4.43 + 3*t^4.57 + 5*t^4.71 + t^4.85 + 2*t^4.86 + 2*t^5. + 3*t^5.14 + 4*t^5.28 + 2*t^5.43 + 3*t^5.57 + 3*t^5.71 + 2*t^5.85 - t^6. + 3*t^6.14 - t^6.15 + 4*t^6.29 + 5*t^6.42 + t^6.43 + 6*t^6.57 + t^6.58 + 3*t^6.71 + 3*t^6.72 + 11*t^6.86 + 2*t^6.99 + 2*t^7. + 6*t^7.14 + t^7.15 + t^7.28 + 6*t^7.29 + 12*t^7.43 + 3*t^7.57 + 6*t^7.71 + 4*t^7.72 + 5*t^7.86 + 6*t^8. - t^8.14 + 5*t^8.28 + 4*t^8.43 + 5*t^8.57 + t^8.58 + 10*t^8.71 - t^8.72 + 5*t^8.85 + 5*t^8.86 - t^4.57/y - t^6.71/y - t^7./y - t^7.14/y + t^7.28/y + (3*t^7.43)/y + (2*t^7.57)/y + (4*t^7.71)/y + (2*t^7.86)/y + (3*t^8.)/y + (2*t^8.14)/y + (4*t^8.28)/y + (3*t^8.43)/y + (4*t^8.57)/y + (5*t^8.71)/y + (2*t^8.85)/y - t^4.57*y - t^6.71*y - t^7.*y - t^7.14*y + t^7.28*y + 3*t^7.43*y + 2*t^7.57*y + 4*t^7.71*y + 2*t^7.86*y + 3*t^8.*y + 2*t^8.14*y + 4*t^8.28*y + 3*t^8.43*y + 4*t^8.57*y + 5*t^8.71*y + 2*t^8.85*y | 2*g1^18*t^2.14 + t^2.29/g1^20 + g1^26*t^2.43 + (2*t^2.57)/g1^12 + 2*g1^4*t^3.14 + g1^12*t^3.43 + g1^20*t^3.71 + g1^28*t^4. + t^4.14/g1^10 + 3*g1^36*t^4.28 + t^4.29/g1^48 + (2*t^4.43)/g1^2 + t^4.57/g1^40 + 2*g1^44*t^4.57 + 5*g1^6*t^4.71 + g1^52*t^4.85 + (2*t^4.86)/g1^32 + 2*g1^14*t^5. + (3*t^5.14)/g1^24 + 4*g1^22*t^5.28 + (2*t^5.43)/g1^16 + 3*g1^30*t^5.57 + (3*t^5.71)/g1^8 + 2*g1^38*t^5.85 - t^6. + 3*g1^46*t^6.14 - t^6.15/g1^38 + 4*g1^8*t^6.29 + 5*g1^54*t^6.42 + t^6.43/g1^30 + 6*g1^16*t^6.57 + t^6.58/g1^68 + 3*g1^62*t^6.71 + (3*t^6.72)/g1^22 + (3*t^6.86)/g1^60 + 8*g1^24*t^6.86 + 2*g1^70*t^6.99 + (2*t^7.)/g1^14 + 6*g1^32*t^7.14 + t^7.15/g1^52 + g1^78*t^7.28 + (6*t^7.29)/g1^6 + (4*t^7.43)/g1^44 + 8*g1^40*t^7.43 + 3*g1^2*t^7.57 + 6*g1^48*t^7.71 + (4*t^7.72)/g1^36 + 5*g1^10*t^7.86 + t^8./g1^28 + 5*g1^56*t^8. - g1^18*t^8.14 + 5*g1^64*t^8.28 + 4*g1^26*t^8.43 - (3*t^8.57)/g1^12 + 8*g1^72*t^8.57 + t^8.58/g1^96 + 10*g1^34*t^8.71 - t^8.72/g1^50 + 5*g1^80*t^8.85 + t^8.86/g1^88 + (4*t^8.86)/g1^4 - (g1^2*t^4.57)/y - (g1^20*t^6.71)/y - (g1^28*t^7.)/y - t^7.14/(g1^10*y) + (g1^36*t^7.28)/y + (3*t^7.43)/(g1^2*y) + (2*g1^44*t^7.57)/y + (4*g1^6*t^7.71)/y + (2*t^7.86)/(g1^32*y) + (3*g1^14*t^8.)/y + (2*t^8.14)/(g1^24*y) + (4*g1^22*t^8.28)/y + (3*t^8.43)/(g1^16*y) + (4*g1^30*t^8.57)/y + (5*t^8.71)/(g1^8*y) + (2*g1^38*t^8.85)/y - g1^2*t^4.57*y - g1^20*t^6.71*y - g1^28*t^7.*y - (t^7.14*y)/g1^10 + g1^36*t^7.28*y + (3*t^7.43*y)/g1^2 + 2*g1^44*t^7.57*y + 4*g1^6*t^7.71*y + (2*t^7.86*y)/g1^32 + 3*g1^14*t^8.*y + (2*t^8.14*y)/g1^24 + 4*g1^22*t^8.28*y + (3*t^8.43*y)/g1^16 + 4*g1^30*t^8.57*y + (5*t^8.71*y)/g1^8 + 2*g1^38*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 5174 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8\phi_1q_2^2$ | 0.6534 | 0.8644 | 0.7559 | [X:[], M:[0.9507, 1.148, 1.0493, 0.852, 0.722, 0.852, 0.8207, 0.852], q:[0.7377, 0.3117], qb:[0.4417, 0.4103], phi:[0.5247]] | 2*t^2.17 + t^2.26 + t^2.46 + 3*t^2.56 + 2*t^3.15 + t^3.74 + t^4.04 + t^4.13 + t^4.22 + 3*t^4.33 + 2*t^4.43 + t^4.52 + 2*t^4.63 + 7*t^4.72 + 3*t^4.82 + t^4.92 + 3*t^5.02 + 6*t^5.11 + 4*t^5.31 + 2*t^5.41 + t^5.61 + 4*t^5.7 + t^5.91 - 3*t^6. - t^4.57/y - t^4.57*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2916 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ | 0.6254 | 0.8161 | 0.7663 | [X:[], M:[0.9488, 1.1536, 1.0512, 0.8464, 0.7304, 0.8464], q:[0.7372, 0.314], qb:[0.43, 0.4164], phi:[0.5256]] | 2*t^2.19 + t^2.23 + 2*t^2.54 + 2*t^3.15 + t^3.46 + t^3.5 + t^3.77 + t^4.08 + t^4.12 + t^4.16 + 3*t^4.38 + 2*t^4.42 + t^4.46 + 4*t^4.73 + 2*t^4.77 + 3*t^5.08 + 4*t^5.34 + 2*t^5.39 + t^5.65 + 5*t^5.69 + t^5.73 + t^5.96 - t^6. - t^4.58/y - t^4.58*y | detail |