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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[0], [-3], [-11], [3], [-1], [11], [-12]], 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$, $ \phi_1^2$, $ M_1$, $ M_6$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_7^2$, $ q_1\tilde{q}_1$, $ 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_7\phi_1^2$, $ M_5\phi_1^2$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_7$, $ M_1M_5$, $ M_6M_7$, $ M_4\phi_1^2$, $ M_5M_6$, $ M_2M_7$, $ M_4M_6$, $ M_2M_5$, $ M_1\phi_1^2$, $ M_7q_1\tilde{q}_2$, $ M_7\phi_1q_2^2$, $ M_6\phi_1^2$, $ M_5q_1\tilde{q}_2$ | . | -1 | 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^6.11 + t^6.13 + 2*t^6.19 + t^6.24 + t^6.27 + t^6.32 + 3*t^6.38 + 2*t^6.51 + t^6.56 + 2*t^6.64 + t^6.7 + t^6.75 + t^6.78 + t^6.83 + t^6.89 + 3*t^7.02 + t^7.07 + 3*t^7.15 + 3*t^7.21 + t^7.28 + 2*t^7.34 + t^7.39 + 2*t^7.47 + t^7.58 + t^7.61 + 2*t^7.66 + 3*t^7.72 + t^7.77 + t^7.79 + 4*t^7.85 + 2*t^7.98 + 2*t^8.11 + t^8.15 - t^8.17 + 2*t^8.22 + t^8.28 + t^8.3 + 2*t^8.36 + 3*t^8.41 + t^8.44 + 2*t^8.55 + t^8.6 + t^8.62 + 3*t^8.68 + t^8.73 + t^8.76 + t^8.79 + 2*t^8.81 + t^8.87 + t^8.92 + 2*t^8.95 - t^4.34/y - t^6.38/y - t^6.51/y - t^7.02/y + t^7.21/y + t^7.53/y + (2*t^7.66)/y + t^7.72/y + t^7.85/y + t^8.04/y + (4*t^8.17)/y + (2*t^8.3)/y - t^8.41/y + t^8.49/y + t^8.62/y + (2*t^8.68)/y + t^8.73/y + (2*t^8.81)/y + t^8.87/y - t^4.34*y - t^6.38*y - t^6.51*y - t^7.02*y + t^7.21*y + t^7.53*y + 2*t^7.66*y + t^7.72*y + t^7.85*y + t^8.04*y + 4*t^8.17*y + 2*t^8.3*y - t^8.41*y + t^8.49*y + t^8.62*y + 2*t^8.68*y + t^8.73*y + 2*t^8.81*y + t^8.87*y | t^2.04/g1^12 + t^2.17/g1 + g1^3*t^2.49 + t^2.68/g1^4 + t^3. + g1^11*t^3.13 + t^3.51/g1^3 + g1^8*t^3.64 + t^3.7/g1^10 + t^4.07/g1^24 + g1^5*t^4.15 + t^4.21/g1^13 + (2*t^4.34)/g1^2 + g1^9*t^4.47 + t^4.53/g1^9 + g1^2*t^4.66 + t^4.72/g1^16 + t^4.85/g1^5 + 2*g1^6*t^4.98 + t^5.04/g1^12 + (3*t^5.17)/g1 + g1^10*t^5.3 + t^5.55/g1^15 + g1^14*t^5.62 + (3*t^5.68)/g1^4 + t^5.73/g1^22 + 2*g1^7*t^5.81 - t^6. + t^6.11/g1^36 + g1^11*t^6.13 + (2*t^6.19)/g1^7 + t^6.24/g1^25 + g1^22*t^6.27 + g1^4*t^6.32 + (3*t^6.38)/g1^14 + (2*t^6.51)/g1^3 + t^6.56/g1^21 + 2*g1^8*t^6.64 + t^6.7/g1^10 + t^6.75/g1^28 + g1^19*t^6.78 + g1*t^6.83 + t^6.89/g1^17 + (3*t^7.02)/g1^6 + t^7.07/g1^24 + 3*g1^5*t^7.15 + (3*t^7.21)/g1^13 + g1^16*t^7.28 + (2*t^7.34)/g1^2 + t^7.39/g1^20 + 2*g1^9*t^7.47 + t^7.58/g1^27 + g1^20*t^7.61 + 2*g1^2*t^7.66 + (3*t^7.72)/g1^16 + t^7.77/g1^34 + g1^13*t^7.79 + (4*t^7.85)/g1^5 + 2*g1^6*t^7.98 + 2*g1^17*t^8.11 + t^8.15/g1^48 - t^8.17/g1 + (2*t^8.22)/g1^19 + t^8.28/g1^37 + g1^10*t^8.3 + (2*t^8.36)/g1^8 + (3*t^8.41)/g1^26 + g1^21*t^8.44 + (2*t^8.55)/g1^15 + t^8.6/g1^33 + g1^14*t^8.62 + (3*t^8.68)/g1^4 + t^8.73/g1^22 + g1^25*t^8.76 + t^8.79/g1^40 + 2*g1^7*t^8.81 + t^8.87/g1^11 + t^8.92/g1^29 + 2*g1^18*t^8.95 - t^4.34/(g1^2*y) - t^6.38/(g1^14*y) - t^6.51/(g1^3*y) - t^7.02/(g1^6*y) + t^7.21/(g1^13*y) + t^7.53/(g1^9*y) + (2*g1^2*t^7.66)/y + t^7.72/(g1^16*y) + t^7.85/(g1^5*y) + t^8.04/(g1^12*y) + (4*t^8.17)/(g1*y) + (2*g1^10*t^8.3)/y - t^8.41/(g1^26*y) + (g1^3*t^8.49)/y + (g1^14*t^8.62)/y + (2*t^8.68)/(g1^4*y) + t^8.73/(g1^22*y) + (2*g1^7*t^8.81)/y + t^8.87/(g1^11*y) - (t^4.34*y)/g1^2 - (t^6.38*y)/g1^14 - (t^6.51*y)/g1^3 - (t^7.02*y)/g1^6 + (t^7.21*y)/g1^13 + (t^7.53*y)/g1^9 + 2*g1^2*t^7.66*y + (t^7.72*y)/g1^16 + (t^7.85*y)/g1^5 + (t^8.04*y)/g1^12 + (4*t^8.17*y)/g1 + 2*g1^10*t^8.3*y - (t^8.41*y)/g1^26 + g1^3*t^8.49*y + g1^14*t^8.62*y + (2*t^8.68*y)/g1^4 + (t^8.73*y)/g1^22 + 2*g1^7*t^8.81*y + (t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 4300 | $\phi_1q_1^2$ + $ 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_2M_8$ | 0.6989 | 0.8864 | 0.7885 | [X:[], M:[1.0, 1.1723, 0.9652, 0.8277, 0.7241, 1.0348, 0.6893, 0.8277], q:[0.7759, 0.3964], qb:[0.6036, 0.4312], phi:[0.4482]] | t^2.07 + t^2.17 + 2*t^2.48 + t^2.69 + t^3. + t^3.1 + t^3.62 + t^3.72 + 2*t^4.14 + t^4.24 + 2*t^4.34 + t^4.45 + 2*t^4.55 + 2*t^4.66 + t^4.76 + t^4.86 + 4*t^4.97 + t^5.07 + 4*t^5.17 + t^5.28 + t^5.48 + 2*t^5.59 + 2*t^5.69 + 3*t^5.79 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
| 4298 | $\phi_1q_1^2$ + $ 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_5M_8$ | 0.6643 | 0.8239 | 0.8063 | [X:[], M:[1.0, 1.1701, 0.957, 0.8299, 0.7234, 1.043, 0.6803, 1.2766], q:[0.7766, 0.3934], qb:[0.6066, 0.4365], phi:[0.4467]] | t^2.04 + t^2.49 + t^2.68 + t^3. + t^3.13 + t^3.51 + t^3.64 + t^3.7 + t^3.83 + t^4.08 + t^4.15 + t^4.34 + t^4.47 + t^4.53 + t^4.72 + 2*t^4.98 + t^5.04 + 2*t^5.17 + t^5.55 + t^5.62 + 2*t^5.68 + t^5.74 + t^5.81 - t^6. - t^4.34/y - t^4.34*y | detail | |
| 4299 | $\phi_1q_1^2$ + $ 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]] | 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^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 |
|---|---|---|---|---|---|---|---|---|---|
| 1234 | 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$ | 0.6635 | 0.8206 | 0.8086 | [X:[], M:[1.0, 1.1712, 0.9612, 0.8288, 0.7237, 1.0388], q:[0.7763, 0.395], qb:[0.605, 0.4338], phi:[0.4475]] | t^2.17 + t^2.49 + t^2.68 + t^3. + t^3.12 + t^3.51 + t^3.63 + t^3.71 + t^3.95 + t^4.14 + 2*t^4.34 + t^4.46 + t^4.66 + t^4.86 + 2*t^4.97 + 2*t^5.17 + t^5.29 + t^5.6 + 2*t^5.68 + 2*t^5.8 - t^6. - t^4.34/y - t^4.34*y | detail |