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 |
|---|---|---|---|---|---|---|---|---|---|
| 6041 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_1M_7$ + $ M_4M_8$ + $ M_9\phi_1q_2^2$ | 0.7277 | 0.9165 | 0.794 | [X:[], M:[1.083, 0.8755, 0.917, 1.0415, 1.0, 0.9585, 0.917, 0.9585, 0.6763], q:[0.5, 0.417], qb:[0.583, 0.5415], phi:[0.4896]] | [X:[], M:[[8], [-12], [-8], [4], [0], [-4], [-8], [-4], [17]], q:[[0], [-8]], qb:[[8], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_9$, $ M_2$, $ M_3$, $ M_7$, $ M_6$, $ M_8$, $ \phi_1^2$, $ M_5$, $ M_9^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_9$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_3M_9$, $ M_7M_9$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6M_9$, $ M_8M_9$, $ M_9\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_5M_9$, $ M_2^2$, $ M_2M_3$, $ M_2M_7$, $ M_3^2$, $ M_2M_6$, $ M_3M_7$, $ M_7^2$, $ M_2M_8$, $ M_2\phi_1^2$, $ M_2M_5$, $ M_3M_6$, $ M_6M_7$, $ M_3M_8$, $ M_7M_8$, $ M_3\phi_1^2$, $ M_7\phi_1^2$, $ M_3M_5$, $ M_6^2$, $ M_5M_7$, $ M_6M_8$, $ M_8^2$, $ M_6\phi_1^2$, $ M_8\phi_1^2$, $ M_5M_6$, $ M_5M_8$, $ \phi_1^4$, $ M_5\phi_1^2$ | . | -3 | t^2.03 + t^2.63 + 2*t^2.75 + 2*t^2.88 + t^2.94 + t^3. + t^4.06 + t^4.22 + t^4.34 + 2*t^4.47 + t^4.59 + t^4.66 + 2*t^4.72 + 2*t^4.78 + t^4.84 + 2*t^4.9 + 2*t^4.97 + t^5.03 + t^5.25 + 2*t^5.38 + 4*t^5.5 + t^5.56 + 4*t^5.63 + 2*t^5.69 + 3*t^5.75 + 2*t^5.81 + t^5.88 + t^5.94 - 3*t^6. + t^6.09 - 3*t^6.12 - t^6.25 + t^6.5 + t^6.62 + t^6.68 + 2*t^6.75 + 2*t^6.81 + t^6.85 + t^6.87 + 2*t^6.93 + 2*t^6.97 + 2*t^7. - t^7.03 + t^7.06 + 4*t^7.1 + t^7.16 + 5*t^7.22 + t^7.28 + 5*t^7.34 + 3*t^7.41 + 4*t^7.47 + 3*t^7.53 + 4*t^7.59 + 5*t^7.66 + 4*t^7.72 + 2*t^7.78 + 2*t^7.84 + t^7.88 + t^7.9 + 2*t^8. - 4*t^8.03 - t^8.09 + t^8.12 + 4*t^8.13 - 3*t^8.15 + t^8.19 + 6*t^8.25 - t^8.28 + 2*t^8.32 + 5*t^8.38 + 4*t^8.44 + 4*t^8.5 + t^8.53 + 4*t^8.56 + t^8.65 + 4*t^8.69 + t^8.71 - 7*t^8.75 + 2*t^8.78 + 2*t^8.81 + 2*t^8.84 - 11*t^8.88 + t^8.9 + 2*t^8.96 - t^4.47/y - t^6.5/y - t^7.1/y - t^7.22/y - t^7.34/y - t^7.41/y + t^7.53/y + t^7.59/y + t^7.66/y + t^7.72/y + (2*t^7.78)/y + t^7.84/y + (2*t^7.9)/y + t^7.97/y + t^8.03/y + (2*t^8.38)/y + t^8.44/y + (3*t^8.5)/y - t^8.53/y + t^8.56/y + (5*t^8.63)/y + (2*t^8.69)/y + (3*t^8.75)/y + (2*t^8.81)/y + (2*t^8.88)/y + t^8.94/y - t^4.47*y - t^6.5*y - t^7.1*y - t^7.22*y - t^7.34*y - t^7.41*y + t^7.53*y + t^7.59*y + t^7.66*y + t^7.72*y + 2*t^7.78*y + t^7.84*y + 2*t^7.9*y + t^7.97*y + t^8.03*y + 2*t^8.38*y + t^8.44*y + 3*t^8.5*y - t^8.53*y + t^8.56*y + 5*t^8.63*y + 2*t^8.69*y + 3*t^8.75*y + 2*t^8.81*y + 2*t^8.88*y + t^8.94*y | g1^17*t^2.03 + t^2.63/g1^12 + (2*t^2.75)/g1^8 + (2*t^2.88)/g1^4 + t^2.94/g1^2 + t^3. + g1^34*t^4.06 + t^4.22/g1^9 + t^4.34/g1^5 + (2*t^4.47)/g1 + g1^3*t^4.59 + g1^5*t^4.66 + 2*g1^7*t^4.72 + 2*g1^9*t^4.78 + g1^11*t^4.84 + 2*g1^13*t^4.9 + 2*g1^15*t^4.97 + g1^17*t^5.03 + t^5.25/g1^24 + (2*t^5.38)/g1^20 + (4*t^5.5)/g1^16 + t^5.56/g1^14 + (4*t^5.63)/g1^12 + (2*t^5.69)/g1^10 + (3*t^5.75)/g1^8 + (2*t^5.81)/g1^6 + t^5.88/g1^4 + t^5.94/g1^2 - 3*t^6. + g1^51*t^6.09 - 3*g1^4*t^6.12 - g1^8*t^6.25 + g1^16*t^6.5 + g1^20*t^6.62 + g1^22*t^6.68 + 2*g1^24*t^6.75 + 2*g1^26*t^6.81 + t^6.85/g1^21 + g1^28*t^6.87 + 2*g1^30*t^6.93 + (2*t^6.97)/g1^17 + 2*g1^32*t^7. - t^7.03/g1^15 + g1^34*t^7.06 + (4*t^7.1)/g1^13 + t^7.16/g1^11 + (5*t^7.22)/g1^9 + t^7.28/g1^7 + (5*t^7.34)/g1^5 + (3*t^7.41)/g1^3 + (4*t^7.47)/g1 + 3*g1*t^7.53 + 4*g1^3*t^7.59 + 5*g1^5*t^7.66 + 4*g1^7*t^7.72 + 2*g1^9*t^7.78 + 2*g1^11*t^7.84 + t^7.88/g1^36 + g1^13*t^7.9 + (2*t^8.)/g1^32 - 4*g1^17*t^8.03 - g1^19*t^8.09 + g1^68*t^8.12 + (4*t^8.13)/g1^28 - 3*g1^21*t^8.15 + t^8.19/g1^26 + (6*t^8.25)/g1^24 - g1^25*t^8.28 + (2*t^8.32)/g1^22 + (5*t^8.38)/g1^20 + (4*t^8.44)/g1^18 + (4*t^8.5)/g1^16 + g1^33*t^8.53 + (4*t^8.56)/g1^14 + g1^37*t^8.65 + (4*t^8.69)/g1^10 + g1^39*t^8.71 - (7*t^8.75)/g1^8 + 2*g1^41*t^8.78 + (2*t^8.81)/g1^6 + 2*g1^43*t^8.84 - (11*t^8.88)/g1^4 + g1^45*t^8.9 + 2*g1^47*t^8.96 - t^4.47/(g1*y) - (g1^16*t^6.5)/y - t^7.1/(g1^13*y) - t^7.22/(g1^9*y) - t^7.34/(g1^5*y) - t^7.41/(g1^3*y) + (g1*t^7.53)/y + (g1^3*t^7.59)/y + (g1^5*t^7.66)/y + (g1^7*t^7.72)/y + (2*g1^9*t^7.78)/y + (g1^11*t^7.84)/y + (2*g1^13*t^7.9)/y + (g1^15*t^7.97)/y + (g1^17*t^8.03)/y + (2*t^8.38)/(g1^20*y) + t^8.44/(g1^18*y) + (3*t^8.5)/(g1^16*y) - (g1^33*t^8.53)/y + t^8.56/(g1^14*y) + (5*t^8.63)/(g1^12*y) + (2*t^8.69)/(g1^10*y) + (3*t^8.75)/(g1^8*y) + (2*t^8.81)/(g1^6*y) + (2*t^8.88)/(g1^4*y) + t^8.94/(g1^2*y) - (t^4.47*y)/g1 - g1^16*t^6.5*y - (t^7.1*y)/g1^13 - (t^7.22*y)/g1^9 - (t^7.34*y)/g1^5 - (t^7.41*y)/g1^3 + g1*t^7.53*y + g1^3*t^7.59*y + g1^5*t^7.66*y + g1^7*t^7.72*y + 2*g1^9*t^7.78*y + g1^11*t^7.84*y + 2*g1^13*t^7.9*y + g1^15*t^7.97*y + g1^17*t^8.03*y + (2*t^8.38*y)/g1^20 + (t^8.44*y)/g1^18 + (3*t^8.5*y)/g1^16 - g1^33*t^8.53*y + (t^8.56*y)/g1^14 + (5*t^8.63*y)/g1^12 + (2*t^8.69*y)/g1^10 + (3*t^8.75*y)/g1^8 + (2*t^8.81*y)/g1^6 + (2*t^8.88*y)/g1^4 + (t^8.94*y)/g1^2 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 4544 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_1M_7$ + $ M_4M_8$ | 0.7069 | 0.8759 | 0.8071 | [X:[], M:[1.0856, 0.8717, 0.9144, 1.0428, 1.0, 0.9572, 0.9144, 0.9572], q:[0.5, 0.4144], qb:[0.5856, 0.5428], phi:[0.4893]] | t^2.62 + 2*t^2.74 + 2*t^2.87 + t^2.94 + t^3. + t^3.95 + t^4.21 + t^4.34 + 2*t^4.47 + t^4.6 + 2*t^4.72 + t^4.85 + t^4.98 + t^5.23 + 2*t^5.36 + 4*t^5.49 + t^5.55 + 4*t^5.62 + 2*t^5.68 + 3*t^5.74 + 2*t^5.81 + t^5.87 + t^5.94 - 3*t^6. - t^4.47/y - t^4.47*y | detail |