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 |
|---|---|---|---|---|---|---|---|---|---|
| 5353 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_1$ + $ M_1M_8$ | 0.6437 | 0.8501 | 0.7572 | [X:[], M:[0.9584, 1.1248, 0.9584, 0.8752, 0.6872, 0.8752, 0.7812, 1.0416], q:[0.7396, 0.302], qb:[0.4792, 0.396], phi:[0.5208]] | [X:[], M:[[4], [-12], [4], [12], [-18], [12], [-3], [-4]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_2$, $ M_7$, $ q_2\tilde{q}_1$, $ M_4$, $ M_6$, $ M_3$, $ M_8$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5M_7$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_7q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_5M_6$, $ M_7^2$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_3M_5$, $ M_4M_7$, $ M_6M_7$, $ M_4q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_5M_8$, $ M_3M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_8q_2\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_7M_8$, $ M_8q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_3M_4$, $ M_3M_6$, $ q_1q_2\tilde{q}_2^2$, $ M_3^2$, $ M_4M_8$, $ M_6M_8$, $ M_7q_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$, $ M_5\phi_1q_2\tilde{q}_1$ | $M_3M_8$, $ M_7\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | 0 | t^2.06 + t^2.09 + 2*t^2.34 + 2*t^2.63 + t^2.88 + t^3.12 + t^3.41 + t^3.66 + t^3.91 + t^4.12 + t^4.16 + 2*t^4.19 + 2*t^4.41 + 3*t^4.44 + 5*t^4.69 + 2*t^4.72 + t^4.94 + 5*t^4.97 + t^5.19 + 3*t^5.22 + 3*t^5.25 + 2*t^5.47 + 3*t^5.5 + 4*t^5.75 + t^5.97 + 2*t^6.03 + t^6.18 + t^6.22 + 2*t^6.25 + 3*t^6.28 + 2*t^6.47 + 3*t^6.5 + 5*t^6.53 + 5*t^6.75 + 5*t^6.78 + 4*t^6.81 + t^7. + 7*t^7.03 + 7*t^7.06 + t^7.25 + 2*t^7.28 + 10*t^7.31 + 3*t^7.35 + 2*t^7.53 + 4*t^7.56 + 9*t^7.59 + 3*t^7.81 + 6*t^7.84 + 4*t^7.88 + t^8.03 - 2*t^8.06 + 4*t^8.09 + 5*t^8.13 + t^8.25 + t^8.28 + 2*t^8.31 - 2*t^8.34 + 8*t^8.38 + 2*t^8.53 + 3*t^8.56 + 2*t^8.59 + t^8.63 + 3*t^8.66 + 5*t^8.81 + 4*t^8.84 + 3*t^8.88 + 5*t^8.91 - t^4.56/y - t^6.62/y - t^6.91/y + t^7.16/y - t^7.19/y + (2*t^7.41)/y + (2*t^7.44)/y + (3*t^7.69)/y + (2*t^7.72)/y + (2*t^7.94)/y + (5*t^7.97)/y + t^8.19/y + (4*t^8.22)/y + t^8.25/y + (3*t^8.47)/y + (4*t^8.5)/y - t^8.69/y + t^8.72/y + (5*t^8.75)/y - t^4.56*y - t^6.62*y - t^6.91*y + t^7.16*y - t^7.19*y + 2*t^7.41*y + 2*t^7.44*y + 3*t^7.69*y + 2*t^7.72*y + 2*t^7.94*y + 5*t^7.97*y + t^8.19*y + 4*t^8.22*y + t^8.25*y + 3*t^8.47*y + 4*t^8.5*y - t^8.69*y + t^8.72*y + 5*t^8.75*y | t^2.06/g1^18 + g1^5*t^2.09 + (2*t^2.34)/g1^3 + 2*g1^12*t^2.63 + g1^4*t^2.88 + t^3.12/g1^4 + g1^11*t^3.41 + g1^3*t^3.66 + t^3.91/g1^5 + t^4.12/g1^36 + t^4.16/g1^13 + 2*g1^10*t^4.19 + (2*t^4.41)/g1^21 + 3*g1^2*t^4.44 + (5*t^4.69)/g1^6 + 2*g1^17*t^4.72 + t^4.94/g1^14 + 5*g1^9*t^4.97 + t^5.19/g1^22 + 3*g1*t^5.22 + 3*g1^24*t^5.25 + (2*t^5.47)/g1^7 + 3*g1^16*t^5.5 + 4*g1^8*t^5.75 + t^5.97/g1^23 + 2*g1^23*t^6.03 + t^6.18/g1^54 + t^6.22/g1^31 + (2*t^6.25)/g1^8 + 3*g1^15*t^6.28 + (2*t^6.47)/g1^39 + (3*t^6.5)/g1^16 + 5*g1^7*t^6.53 + (5*t^6.75)/g1^24 + (5*t^6.78)/g1 + 4*g1^22*t^6.81 + t^7./g1^32 + (7*t^7.03)/g1^9 + 7*g1^14*t^7.06 + t^7.25/g1^40 + (2*t^7.28)/g1^17 + 10*g1^6*t^7.31 + 3*g1^29*t^7.35 + (2*t^7.53)/g1^25 + (4*t^7.56)/g1^2 + 9*g1^21*t^7.59 + (3*t^7.81)/g1^10 + 6*g1^13*t^7.84 + 4*g1^36*t^7.88 + t^8.03/g1^41 - (2*t^8.06)/g1^18 + 4*g1^5*t^8.09 + 5*g1^28*t^8.13 + t^8.25/g1^72 + t^8.28/g1^49 + (2*t^8.31)/g1^26 - (2*t^8.34)/g1^3 + 8*g1^20*t^8.38 + (2*t^8.53)/g1^57 + (3*t^8.56)/g1^34 + (2*t^8.59)/g1^11 + g1^12*t^8.63 + 3*g1^35*t^8.66 + (5*t^8.81)/g1^42 + (4*t^8.84)/g1^19 + 3*g1^4*t^8.88 + 5*g1^27*t^8.91 - t^4.56/(g1^2*y) - t^6.62/(g1^20*y) - t^6.91/(g1^5*y) + t^7.16/(g1^13*y) - (g1^10*t^7.19)/y + (2*t^7.41)/(g1^21*y) + (2*g1^2*t^7.44)/y + (3*t^7.69)/(g1^6*y) + (2*g1^17*t^7.72)/y + (2*t^7.94)/(g1^14*y) + (5*g1^9*t^7.97)/y + t^8.19/(g1^22*y) + (4*g1*t^8.22)/y + (g1^24*t^8.25)/y + (3*t^8.47)/(g1^7*y) + (4*g1^16*t^8.5)/y - t^8.69/(g1^38*y) + t^8.72/(g1^15*y) + (5*g1^8*t^8.75)/y - (t^4.56*y)/g1^2 - (t^6.62*y)/g1^20 - (t^6.91*y)/g1^5 + (t^7.16*y)/g1^13 - g1^10*t^7.19*y + (2*t^7.41*y)/g1^21 + 2*g1^2*t^7.44*y + (3*t^7.69*y)/g1^6 + 2*g1^17*t^7.72*y + (2*t^7.94*y)/g1^14 + 5*g1^9*t^7.97*y + (t^8.19*y)/g1^22 + 4*g1*t^8.22*y + g1^24*t^8.25*y + (3*t^8.47*y)/g1^7 + 4*g1^16*t^8.5*y - (t^8.69*y)/g1^38 + (t^8.72*y)/g1^15 + 5*g1^8*t^8.75*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 |
|---|---|---|---|---|---|---|---|---|
| 6854 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_1$ + $ M_1M_8$ + $ M_3M_9$ | 0.64 | 0.8437 | 0.7585 | [X:[], M:[0.9614, 1.1157, 0.9614, 0.8843, 0.6735, 0.8843, 0.7789, 1.0386, 1.0386], q:[0.7404, 0.2982], qb:[0.4807, 0.4036], phi:[0.5193]] | t^2.02 + t^2.11 + 2*t^2.34 + 2*t^2.65 + 2*t^3.12 + t^3.43 + t^3.66 + t^3.89 + t^4.04 + t^4.13 + 2*t^4.21 + 2*t^4.36 + 3*t^4.44 + 5*t^4.67 + 2*t^4.76 + 4*t^4.99 + 2*t^5.14 + 2*t^5.22 + 3*t^5.31 + 4*t^5.45 + t^5.54 + 5*t^5.77 + t^5.92 - t^6. - t^4.56/y - t^4.56*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3756 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_1$ | 0.6477 | 0.8571 | 0.7557 | [X:[], M:[0.9554, 1.1339, 0.9554, 0.8661, 0.7009, 0.8661, 0.7835], q:[0.7388, 0.3058], qb:[0.4777, 0.3884], phi:[0.5223]] | t^2.08 + t^2.1 + 2*t^2.35 + 2*t^2.6 + 2*t^2.87 + t^3.38 + t^3.65 + t^3.92 + 2*t^4.17 + t^4.19 + t^4.21 + 3*t^4.43 + 2*t^4.45 + 2*t^4.68 + 5*t^4.7 + 6*t^4.95 + 2*t^4.97 + 3*t^5.2 + 4*t^5.22 + 5*t^5.46 + 4*t^5.73 + 2*t^5.98 - t^6. - t^4.57/y - t^4.57*y | detail |