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 |
|---|---|---|---|---|---|---|---|---|---|
| 2014 | 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$ + $ M_4M_6$ + $ \phi_1q_2^2$ | 0.6744 | 0.8431 | 0.7999 | [X:[], M:[0.8409, 1.0795, 1.0, 1.1591, 0.6819, 0.8409], q:[0.3892, 0.7699], qb:[0.4517, 0.5483], phi:[0.4602]] | [X:[], M:[[-8], [4], [0], [8], [-16], [-8]], q:[[7], [1]], qb:[[-15], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_1$, $ M_6$, $ q_1\tilde{q}_2$, $ M_3$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ M_5M_6$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ M_1^2$, $ M_3M_5$, $ M_1M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_5$, $ M_6q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_3M_6$, $ q_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_2M_6$, $ M_5\phi_1q_1^2$, $ M_5\phi_1q_1\tilde{q}_1$ | . | -2 | t^2.05 + 2*t^2.52 + t^2.81 + t^3. + t^3.24 + t^3.66 + t^3.72 + t^3.9 + 2*t^4.09 + t^4.19 + t^4.38 + 2*t^4.57 + t^4.67 + t^4.86 + 4*t^5.05 + t^5.28 + 2*t^5.34 + t^5.52 + t^5.62 + 3*t^5.76 + t^5.95 - 2*t^6. + t^6.05 + 2*t^6.14 + t^6.19 + 3*t^6.24 - t^6.29 + 2*t^6.43 + t^6.53 + 4*t^6.61 + 3*t^6.72 + 4*t^6.9 - t^6.95 + t^7.01 + 4*t^7.09 - t^7.14 + 2*t^7.19 + 2*t^7.33 + t^7.38 + t^7.43 + t^7.48 + 4*t^7.57 + t^7.62 + t^7.76 + 4*t^7.81 + t^7.86 + t^7.91 + 2*t^7.99 - t^8.05 + t^8.1 + t^8.15 + 3*t^8.18 - t^8.23 + 6*t^8.28 - 2*t^8.34 + t^8.39 + t^8.44 + 3*t^8.47 - 6*t^8.52 + 3*t^8.57 + 4*t^8.66 + t^8.71 + 6*t^8.76 - 5*t^8.81 + 2*t^8.86 + 4*t^8.95 - t^4.38/y - t^6.43/y - t^6.9/y + (2*t^7.57)/y + (2*t^7.86)/y + (2*t^8.05)/y + t^8.28/y + (3*t^8.34)/y - t^8.47/y + (2*t^8.52)/y + t^8.71/y + (3*t^8.76)/y + t^8.81/y - t^4.38*y - t^6.43*y - t^6.9*y + 2*t^7.57*y + 2*t^7.86*y + 2*t^8.05*y + t^8.28*y + 3*t^8.34*y - t^8.47*y + 2*t^8.52*y + t^8.71*y + 3*t^8.76*y + t^8.81*y | t^2.05/g1^16 + (2*t^2.52)/g1^8 + g1^22*t^2.81 + t^3. + g1^4*t^3.24 + t^3.66/g1^14 + g1^12*t^3.72 + t^3.9/g1^10 + (2*t^4.09)/g1^32 + g1^20*t^4.19 + t^4.38/g1^2 + (2*t^4.57)/g1^24 + g1^28*t^4.67 + g1^6*t^4.86 + (4*t^5.05)/g1^16 + t^5.28/g1^12 + 2*g1^14*t^5.34 + t^5.52/g1^8 + g1^44*t^5.62 + (3*t^5.76)/g1^4 + t^5.95/g1^26 - 2*t^6. + g1^26*t^6.05 + (2*t^6.14)/g1^48 + t^6.19/g1^22 + 3*g1^4*t^6.24 - g1^30*t^6.29 + (2*t^6.43)/g1^18 + g1^34*t^6.53 + (4*t^6.61)/g1^40 + 3*g1^12*t^6.72 + (4*t^6.9)/g1^10 - g1^16*t^6.95 + g1^42*t^7.01 + (4*t^7.09)/g1^32 - t^7.14/g1^6 + 2*g1^20*t^7.19 + (2*t^7.33)/g1^28 + t^7.38/g1^2 + g1^24*t^7.43 + g1^50*t^7.48 + (4*t^7.57)/g1^24 + g1^2*t^7.62 + t^7.76/g1^46 + (4*t^7.81)/g1^20 + g1^6*t^7.86 + g1^32*t^7.91 + (2*t^7.99)/g1^42 - t^8.05/g1^16 + g1^10*t^8.1 + g1^36*t^8.15 + (3*t^8.18)/g1^64 - t^8.23/g1^38 + (6*t^8.28)/g1^12 - 2*g1^14*t^8.34 + g1^40*t^8.39 + g1^66*t^8.44 + (3*t^8.47)/g1^34 - (6*t^8.52)/g1^8 + 3*g1^18*t^8.57 + (4*t^8.66)/g1^56 + t^8.71/g1^30 + (6*t^8.76)/g1^4 - 5*g1^22*t^8.81 + 2*g1^48*t^8.86 + (4*t^8.95)/g1^26 - t^4.38/(g1^2*y) - t^6.43/(g1^18*y) - t^6.9/(g1^10*y) + (2*t^7.57)/(g1^24*y) + (2*g1^6*t^7.86)/y + (2*t^8.05)/(g1^16*y) + t^8.28/(g1^12*y) + (3*g1^14*t^8.34)/y - t^8.47/(g1^34*y) + (2*t^8.52)/(g1^8*y) + t^8.71/(g1^30*y) + (3*t^8.76)/(g1^4*y) + (g1^22*t^8.81)/y - (t^4.38*y)/g1^2 - (t^6.43*y)/g1^18 - (t^6.9*y)/g1^10 + (2*t^7.57*y)/g1^24 + 2*g1^6*t^7.86*y + (2*t^8.05*y)/g1^16 + (t^8.28*y)/g1^12 + 3*g1^14*t^8.34*y - (t^8.47*y)/g1^34 + (2*t^8.52*y)/g1^8 + (t^8.71*y)/g1^30 + (3*t^8.76*y)/g1^4 + g1^22*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 3062 | $M_1q_1q_2$ + $ 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$ + $ M_4M_6$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ | 0.695 | 0.8825 | 0.7875 | [X:[], M:[0.8422, 1.0789, 1.0, 1.1578, 0.6844, 0.8422, 0.6972], q:[0.3881, 0.7697], qb:[0.4541, 0.5459], phi:[0.4606]] | t^2.05 + t^2.09 + 2*t^2.53 + t^2.8 + t^3. + t^3.24 + t^3.67 + t^3.71 + 2*t^4.11 + t^4.14 + 2*t^4.18 + t^4.38 + 2*t^4.58 + 2*t^4.62 + t^4.66 + t^4.86 + t^4.89 + 4*t^5.05 + t^5.09 + t^5.29 + 3*t^5.33 + t^5.53 + t^5.6 + 4*t^5.76 + t^5.8 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 3061 | $M_1q_1q_2$ + $ 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$ + $ M_4M_6$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ | 0.6931 | 0.8774 | 0.79 | [X:[], M:[0.8369, 1.0816, 1.0, 1.1631, 0.6738, 0.8369, 0.7553], q:[0.3927, 0.7704], qb:[0.4442, 0.5558], phi:[0.4592]] | t^2.02 + t^2.27 + 2*t^2.51 + t^2.85 + t^3. + t^3.24 + t^3.64 + t^3.89 + 2*t^4.04 + t^4.22 + t^4.29 + t^4.38 + 3*t^4.53 + t^4.71 + 2*t^4.78 + t^4.87 + 4*t^5.02 + t^5.11 + 2*t^5.27 + 2*t^5.36 + 2*t^5.51 + t^5.69 + 2*t^5.76 + 2*t^5.91 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 828 | 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$ + $ M_4M_6$ | 0.7059 | 0.868 | 0.8133 | [X:[], M:[0.9254, 1.0373, 1.0, 1.0746, 0.8508, 0.9254], q:[0.4792, 0.5954], qb:[0.4462, 0.5538], phi:[0.4814]] | t^2.55 + 2*t^2.78 + t^3. + t^3.1 + t^3.11 + t^3.12 + t^4.12 + t^4.22 + t^4.32 + t^4.44 + t^4.54 + t^4.57 + t^4.67 + t^4.77 + t^4.89 + t^5.02 + t^5.1 + 2*t^5.33 + 3*t^5.55 + t^5.66 + t^5.78 + t^5.88 + 2*t^5.89 + t^5.9 - 3*t^6. - t^4.44/y - t^4.44*y | detail |