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 |
|---|---|---|---|---|---|---|---|---|---|
| 2887 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6104 | 0.7846 | 0.778 | [X:[], M:[0.836, 1.082, 1.0, 1.164, 0.6719, 0.7539], q:[0.6065, 0.5576], qb:[0.2295, 0.7705], phi:[0.459]] | [X:[], M:[[-8], [4], [0], [8], [-16], [-12]], q:[[-7], [15]], qb:[[-1], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ q_2\tilde{q}_1$, $ M_1$, $ \phi_1\tilde{q}_1^2$, $ M_3$, $ M_2$, $ M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ q_1\tilde{q}_2$, $ M_5M_6$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ M_6^2$, $ M_6q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_1^2$, $ M_1M_6$, $ M_5\phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_3M_5$, $ \phi_1q_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$, $ M_2M_5$, $ M_3M_6$, $ M_1\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_4M_5$, $ M_2M_6$, $ \phi_1^2\tilde{q}_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_1M_2$, $ M_4M_6$, $ M_5\phi_1q_1\tilde{q}_1$ | . | -1 | t^2.02 + t^2.26 + t^2.36 + t^2.51 + t^2.75 + t^3. + t^3.25 + t^3.49 + t^3.88 + t^4.03 + t^4.13 + t^4.28 + t^4.38 + 2*t^4.52 + t^4.62 + 2*t^4.72 + 2*t^4.77 + t^4.87 + 3*t^5.02 + t^5.12 + 3*t^5.26 + t^5.36 + 4*t^5.51 + t^5.61 + 2*t^5.75 + t^5.9 - t^6. + t^6.05 + t^6.15 + t^6.25 + t^6.29 + 2*t^6.39 + t^6.49 + 2*t^6.54 + 2*t^6.64 + t^6.74 + 3*t^6.79 + 2*t^6.88 + t^6.98 + 4*t^7.03 + 2*t^7.08 + 2*t^7.13 + 5*t^7.28 + 2*t^7.38 + t^7.48 + 6*t^7.52 + t^7.62 + t^7.72 + 6*t^7.77 + t^7.87 + t^7.92 + t^7.97 + 3*t^8.02 + t^8.06 + t^8.16 + t^8.21 + 2*t^8.26 + t^8.31 - 2*t^8.36 + 2*t^8.41 + 2*t^8.56 + 3*t^8.65 - t^8.75 + 3*t^8.8 + t^8.85 + 3*t^8.9 - t^4.38/y - t^6.39/y - t^6.64/y + t^7.28/y + t^7.38/y + t^7.52/y + t^7.62/y + (2*t^7.77)/y + t^7.87/y + (2*t^8.02)/y + (2*t^8.12)/y + (3*t^8.26)/y + (2*t^8.36)/y - t^8.41/y + (3*t^8.51)/y + t^8.61/y - t^8.65/y + (3*t^8.75)/y + t^8.85/y - t^4.38*y - t^6.39*y - t^6.64*y + t^7.28*y + t^7.38*y + t^7.52*y + t^7.62*y + 2*t^7.77*y + t^7.87*y + 2*t^8.02*y + 2*t^8.12*y + 3*t^8.26*y + 2*t^8.36*y - t^8.41*y + 3*t^8.51*y + t^8.61*y - t^8.65*y + 3*t^8.75*y + t^8.85*y | t^2.02/g1^16 + t^2.26/g1^12 + g1^14*t^2.36 + t^2.51/g1^8 + t^2.75/g1^4 + t^3. + g1^4*t^3.25 + g1^8*t^3.49 + t^3.88/g1^10 + t^4.03/g1^32 + t^4.13/g1^6 + t^4.28/g1^28 + t^4.38/g1^2 + (2*t^4.52)/g1^24 + g1^2*t^4.62 + 2*g1^28*t^4.72 + (2*t^4.77)/g1^20 + g1^6*t^4.87 + (3*t^5.02)/g1^16 + g1^10*t^5.12 + (3*t^5.26)/g1^12 + g1^14*t^5.36 + (4*t^5.51)/g1^8 + g1^18*t^5.61 + (2*t^5.75)/g1^4 + t^5.9/g1^26 - t^6. + t^6.05/g1^48 + t^6.15/g1^22 + g1^4*t^6.25 + t^6.29/g1^44 + (2*t^6.39)/g1^18 + g1^8*t^6.49 + (2*t^6.54)/g1^40 + (2*t^6.64)/g1^14 + g1^12*t^6.74 + (3*t^6.79)/g1^36 + (2*t^6.88)/g1^10 + g1^16*t^6.98 + (4*t^7.03)/g1^32 + 2*g1^42*t^7.08 + (2*t^7.13)/g1^6 + (5*t^7.28)/g1^28 + (2*t^7.38)/g1^2 + g1^24*t^7.48 + (6*t^7.52)/g1^24 + g1^2*t^7.62 + g1^28*t^7.72 + (6*t^7.77)/g1^20 + g1^6*t^7.87 + t^7.92/g1^42 + g1^32*t^7.97 + (3*t^8.02)/g1^16 + t^8.06/g1^64 + t^8.16/g1^38 + g1^36*t^8.21 + (2*t^8.26)/g1^12 + t^8.31/g1^60 - 2*g1^14*t^8.36 + (2*t^8.41)/g1^34 + (2*t^8.56)/g1^56 + (3*t^8.65)/g1^30 - t^8.75/g1^4 + (3*t^8.8)/g1^52 + g1^22*t^8.85 + (3*t^8.9)/g1^26 - t^4.38/(g1^2*y) - t^6.39/(g1^18*y) - t^6.64/(g1^14*y) + t^7.28/(g1^28*y) + t^7.38/(g1^2*y) + t^7.52/(g1^24*y) + (g1^2*t^7.62)/y + (2*t^7.77)/(g1^20*y) + (g1^6*t^7.87)/y + (2*t^8.02)/(g1^16*y) + (2*g1^10*t^8.12)/y + (3*t^8.26)/(g1^12*y) + (2*g1^14*t^8.36)/y - t^8.41/(g1^34*y) + (3*t^8.51)/(g1^8*y) + (g1^18*t^8.61)/y - t^8.65/(g1^30*y) + (3*t^8.75)/(g1^4*y) + (g1^22*t^8.85)/y - (t^4.38*y)/g1^2 - (t^6.39*y)/g1^18 - (t^6.64*y)/g1^14 + (t^7.28*y)/g1^28 + (t^7.38*y)/g1^2 + (t^7.52*y)/g1^24 + g1^2*t^7.62*y + (2*t^7.77*y)/g1^20 + g1^6*t^7.87*y + (2*t^8.02*y)/g1^16 + 2*g1^10*t^8.12*y + (3*t^8.26*y)/g1^12 + 2*g1^14*t^8.36*y - (t^8.41*y)/g1^34 + (3*t^8.51*y)/g1^8 + g1^18*t^8.61*y - (t^8.65*y)/g1^30 + (3*t^8.75*y)/g1^4 + g1^22*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 |
|---|---|---|---|---|---|---|---|---|
| 3456 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6029 | 0.7716 | 0.7814 | [X:[], M:[0.8406, 1.0797, 1.0, 1.1594, 0.6811, 0.7608, 1.0797], q:[0.6105, 0.5489], qb:[0.2301, 0.7699], phi:[0.4601]] | t^2.04 + t^2.28 + t^2.34 + t^2.52 + t^3. + 2*t^3.24 + t^3.48 + t^3.9 + t^4.09 + t^4.14 + t^4.33 + t^4.38 + 2*t^4.57 + t^4.62 + 2*t^4.67 + t^4.8 + t^4.86 + 2*t^5.04 + 3*t^5.28 + t^5.34 + 4*t^5.52 + 2*t^5.58 + 2*t^5.76 + t^5.95 - 2*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1876 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ | 0.5917 | 0.7504 | 0.7885 | [X:[], M:[0.8433, 1.0783, 1.0, 1.1567, 0.6867], q:[0.6129, 0.5438], qb:[0.2304, 0.7696], phi:[0.4608]] | t^2.06 + t^2.32 + t^2.53 + t^2.76 + t^3. + t^3.24 + t^3.47 + t^3.71 + t^3.91 + t^4.12 + t^4.15 + t^4.38 + t^4.59 + 2*t^4.65 + t^4.82 + t^4.85 + 2*t^5.06 + t^5.09 + 2*t^5.29 + t^5.32 + 3*t^5.53 + t^5.56 + 2*t^5.76 + t^5.97 - t^6. - t^4.38/y - t^4.38*y | detail |