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 |
|---|---|---|---|---|---|---|---|---|---|
| 4299 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_8\phi_1^2$ | 0.6748 | 0.8451 | 0.7985 | [X:[], M:[1.0, 1.174, 0.9715, 0.826, 0.7247, 1.0285, 0.6961, 1.1013], q:[0.7753, 0.3987], qb:[0.6013, 0.4272], phi:[0.4494]] | [X:[], M:[[0], [-3], [-11], [3], [-1], [11], [-12], [4]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_5$, $ M_4$, $ M_1$, $ M_6$, $ M_8$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ M_7^2$, $ M_5M_7$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_7$, $ M_4M_5$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_7$, $ M_1M_5$, $ M_6M_7$, $ M_5M_6$, $ M_1M_4$, $ M_5M_8$, $ M_4M_6$, $ M_2M_7$, $ M_2M_5$, $ M_7q_1\tilde{q}_2$, $ M_4M_8$, $ M_5q_1\tilde{q}_2$, $ M_7\phi_1q_2^2$ | . | -1 | t^2.09 + t^2.17 + t^2.48 + t^3. + t^3.09 + t^3.3 + t^3.52 + t^3.61 + t^3.74 + t^4.13 + t^4.18 + t^4.26 + 2*t^4.35 + t^4.43 + t^4.57 + t^4.65 + 2*t^4.96 + t^5.09 + 2*t^5.17 + t^5.26 + t^5.48 + t^5.56 + t^5.61 + 2*t^5.7 + 2*t^5.78 + t^5.83 - t^6. + t^6.09 + t^6.17 + t^6.22 + t^6.27 + t^6.3 + t^6.35 + t^6.39 + 2*t^6.44 + 2*t^6.52 + 3*t^6.61 + t^6.65 + t^6.69 + t^6.74 + t^6.83 + t^6.91 + 2*t^7.04 + 2*t^7.13 + t^7.18 + t^7.22 + 2*t^7.26 + t^7.35 + 3*t^7.43 + t^7.48 + t^7.52 + 2*t^7.65 + t^7.7 + 2*t^7.74 + 2*t^7.78 + 2*t^7.87 + t^7.92 + 2*t^7.96 + 2*t^8.04 - t^8.17 + 2*t^8.26 + t^8.31 + 2*t^8.35 + t^8.44 + 2*t^8.52 + 2*t^8.56 + 2*t^8.61 + t^8.65 + 4*t^8.7 + t^8.74 + 2*t^8.78 + t^8.83 + 2*t^8.87 - t^4.35/y - t^6.44/y - t^6.52/y + t^7.26/y + t^7.57/y + t^7.65/y + t^8.09/y + (3*t^8.17)/y + (2*t^8.26)/y + t^8.39/y + (2*t^8.48)/y - t^8.52/y + t^8.56/y + t^8.7/y + (2*t^8.78)/y + t^8.83/y + t^8.91/y - t^4.35*y - t^6.44*y - t^6.52*y + t^7.26*y + t^7.57*y + t^7.65*y + t^8.09*y + 3*t^8.17*y + 2*t^8.26*y + t^8.39*y + 2*t^8.48*y - t^8.52*y + t^8.56*y + t^8.7*y + 2*t^8.78*y + t^8.83*y + t^8.91*y | t^2.09/g1^12 + t^2.17/g1 + g1^3*t^2.48 + t^3. + g1^11*t^3.09 + g1^4*t^3.3 + t^3.52/g1^3 + g1^8*t^3.61 + t^3.74/g1^10 + g1^5*t^4.13 + t^4.18/g1^24 + t^4.26/g1^13 + (2*t^4.35)/g1^2 + g1^9*t^4.43 + t^4.57/g1^9 + g1^2*t^4.65 + 2*g1^6*t^4.96 + t^5.09/g1^12 + (2*t^5.17)/g1 + g1^10*t^5.26 + g1^3*t^5.48 + g1^14*t^5.56 + t^5.61/g1^15 + (2*t^5.7)/g1^4 + 2*g1^7*t^5.78 + t^5.83/g1^22 - t^6. + g1^11*t^6.09 + g1^22*t^6.17 + t^6.22/g1^7 + t^6.27/g1^36 + g1^4*t^6.3 + t^6.35/g1^25 + g1^15*t^6.39 + (2*t^6.44)/g1^14 + (2*t^6.52)/g1^3 + 3*g1^8*t^6.61 + t^6.65/g1^21 + g1^19*t^6.69 + t^6.74/g1^10 + g1*t^6.83 + g1^12*t^6.91 + (2*t^7.04)/g1^6 + 2*g1^5*t^7.13 + t^7.18/g1^24 + g1^16*t^7.22 + (2*t^7.26)/g1^13 + t^7.35/g1^2 + 3*g1^9*t^7.43 + t^7.48/g1^20 + g1^20*t^7.52 + 2*g1^2*t^7.65 + t^7.7/g1^27 + 2*g1^13*t^7.74 + (2*t^7.78)/g1^16 + (2*t^7.87)/g1^5 + t^7.92/g1^34 + 2*g1^6*t^7.96 + 2*g1^17*t^8.04 - t^8.17/g1 + 2*g1^10*t^8.26 + t^8.31/g1^19 + t^8.35/g1^48 + g1^21*t^8.35 + t^8.44/g1^37 + (2*t^8.52)/g1^26 + 2*g1^14*t^8.56 + (2*t^8.61)/g1^15 + g1^25*t^8.65 + (4*t^8.7)/g1^4 + t^8.74/g1^33 + 2*g1^7*t^8.78 + t^8.83/g1^22 + 2*g1^18*t^8.87 - t^4.35/(g1^2*y) - t^6.44/(g1^14*y) - t^6.52/(g1^3*y) + t^7.26/(g1^13*y) + t^7.57/(g1^9*y) + (g1^2*t^7.65)/y + t^8.09/(g1^12*y) + (3*t^8.17)/(g1*y) + (2*g1^10*t^8.26)/y + t^8.39/(g1^8*y) + (2*g1^3*t^8.48)/y - t^8.52/(g1^26*y) + (g1^14*t^8.56)/y + t^8.7/(g1^4*y) + (2*g1^7*t^8.78)/y + t^8.83/(g1^22*y) + t^8.91/(g1^11*y) - (t^4.35*y)/g1^2 - (t^6.44*y)/g1^14 - (t^6.52*y)/g1^3 + (t^7.26*y)/g1^13 + (t^7.57*y)/g1^9 + g1^2*t^7.65*y + (t^8.09*y)/g1^12 + (3*t^8.17*y)/g1 + 2*g1^10*t^8.26*y + (t^8.39*y)/g1^8 + 2*g1^3*t^8.48*y - (t^8.52*y)/g1^26 + g1^14*t^8.56*y + (t^8.7*y)/g1^4 + 2*g1^7*t^8.78*y + (t^8.83*y)/g1^22 + (t^8.91*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5760 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_8\phi_1^2$ + $ M_2M_9$ | 0.6898 | 0.8712 | 0.7918 | [X:[], M:[1.0, 1.1767, 0.9811, 0.8233, 0.7256, 1.0189, 0.7066, 1.0978, 0.8233], q:[0.7744, 0.4022], qb:[0.5978, 0.4211], phi:[0.4511]] | t^2.12 + t^2.18 + 2*t^2.47 + t^3. + t^3.06 + t^3.29 + t^3.59 + t^3.77 + t^4.12 + t^4.24 + t^4.3 + 2*t^4.35 + t^4.41 + 2*t^4.59 + 2*t^4.65 + 4*t^4.94 + t^5.12 + 2*t^5.18 + t^5.23 + 2*t^5.47 + 2*t^5.53 + t^5.71 + 3*t^5.76 + t^5.89 - 2*t^6. - t^4.35/y - t^4.35*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2281 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6843 | 0.8612 | 0.7946 | [X:[], M:[1.0, 1.1697, 0.9556, 0.8303, 0.7232, 1.0444, 0.6789], q:[0.7768, 0.393], qb:[0.607, 0.4373], phi:[0.4465]] | t^2.04 + t^2.17 + t^2.49 + t^2.68 + t^3. + t^3.13 + t^3.51 + t^3.64 + t^3.7 + t^4.07 + t^4.15 + t^4.21 + 2*t^4.34 + t^4.47 + t^4.53 + t^4.66 + t^4.72 + t^4.85 + 2*t^4.98 + t^5.04 + 3*t^5.17 + t^5.3 + t^5.55 + t^5.62 + 3*t^5.68 + t^5.73 + 2*t^5.81 - t^6. - t^4.34/y - t^4.34*y | detail |