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 |
|---|---|---|---|---|---|---|---|---|---|
| 55316 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3^2$ + $ M_1M_2$ + $ M_2M_7$ | 0.7181 | 0.8914 | 0.8055 | [X:[], M:[0.9004, 1.0996, 1.0, 0.8008, 0.9573, 0.9431, 0.9004], q:[0.4716, 0.628], qb:[0.4289, 0.5711], phi:[0.4751]] | [X:[], M:[[-4, -4], [4, 4], [0, 0], [-8, -8], [4, -12], [-8, 8], [-4, -4]], q:[[-4, 4], [8, 0]], qb:[[0, -8], [0, 8]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_7$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4M_7$, $ \phi_1q_2^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_1^2$, $ M_3M_4$, $ M_1M_7$, $ M_7^2$, $ M_1M_6$, $ M_6M_7$, $ M_1\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_5$, $ M_5M_7$, $ M_6^2$, $ M_6\phi_1^2$, $ M_1M_3$, $ M_5M_6$, $ M_3M_7$, $ \phi_1^4$, $ M_5\phi_1^2$, $ M_5^2$, $ M_3\phi_1^2$ | . | -3 | t^2.4 + 2*t^2.7 + t^2.83 + t^2.85 + t^2.87 + t^3. + t^4. + t^4.13 + t^4.25 + t^4.43 + t^4.55 + t^4.6 + t^4.72 + t^4.81 + t^4.85 + t^5.02 + 2*t^5.1 + t^5.19 + t^5.23 + t^5.25 + t^5.27 + 3*t^5.4 + t^5.53 + 2*t^5.55 + t^5.57 + t^5.66 + t^5.68 + 3*t^5.7 + t^5.72 + t^5.74 + t^5.85 - 3*t^6. - t^6.13 - t^6.17 - 2*t^6.3 + t^6.4 - t^6.43 - t^6.47 + t^6.53 - t^6.6 + t^6.66 + 2*t^6.7 + 3*t^6.83 + t^6.85 + t^6.87 + 3*t^6.96 + t^6.98 + 2*t^7. + t^7.08 + t^7.11 + 3*t^7.13 - t^7.15 + t^7.21 + 3*t^7.25 + t^7.3 + t^7.38 + 2*t^7.43 + t^7.45 + t^7.47 + 2*t^7.51 + 2*t^7.55 + t^7.6 + t^7.63 + t^7.66 + 2*t^7.68 - t^7.75 + 3*t^7.81 + t^7.89 + t^7.93 + 2*t^7.95 + t^7.98 + t^8.04 + t^8.06 + t^8.07 + t^8.08 + 5*t^8.1 + 2*t^8.13 - t^8.17 + t^8.23 + 4*t^8.25 - t^8.32 - t^8.34 + t^8.36 + 2*t^8.38 + 2*t^8.42 + t^8.45 + t^8.49 + 2*t^8.51 + 4*t^8.55 + 2*t^8.59 + t^8.62 + t^8.68 - 7*t^8.7 + t^8.72 + t^8.8 + t^8.81 - 6*t^8.83 - t^8.85 - 5*t^8.87 + t^8.93 - t^8.96 + t^8.98 - t^4.43/y - t^6.83/y - t^7.13/y - t^7.25/y - t^7.28/y - t^7.3/y + t^7.55/y + t^7.57/y + t^7.6/y + t^7.72/y + t^8.02/y + (2*t^8.1)/y + t^8.23/y + t^8.25/y + t^8.27/y + (2*t^8.4)/y + (2*t^8.53)/y + (2*t^8.55)/y + (2*t^8.57)/y + t^8.68/y + (3*t^8.7)/y + t^8.72/y + t^8.83/y + t^8.85/y + t^8.87/y - t^4.43*y - t^6.83*y - t^7.13*y - t^7.25*y - t^7.28*y - t^7.3*y + t^7.55*y + t^7.57*y + t^7.6*y + t^7.72*y + t^8.02*y + 2*t^8.1*y + t^8.23*y + t^8.25*y + t^8.27*y + 2*t^8.4*y + 2*t^8.53*y + 2*t^8.55*y + 2*t^8.57*y + t^8.68*y + 3*t^8.7*y + t^8.72*y + t^8.83*y + t^8.85*y + t^8.87*y | t^2.4/(g1^8*g2^8) + (2*t^2.7)/(g1^4*g2^4) + (g2^8*t^2.83)/g1^8 + t^2.85/(g1^2*g2^2) + (g1^4*t^2.87)/g2^12 + t^3. + t^4./(g1*g2^17) + t^4.13/(g1^5*g2^5) + (g2^7*t^4.25)/g1^9 + t^4.43/(g1*g2) + (g2^11*t^4.55)/g1^5 + (g1^7*t^4.6)/g2^9 + g1^3*g2^3*t^4.72 + t^4.81/(g1^16*g2^16) + (g2^15*t^4.85)/g1 + g1^7*g2^7*t^5.02 + (2*t^5.1)/(g1^12*g2^12) + (g1^15*t^5.19)/g2 + t^5.23/g1^16 + t^5.25/(g1^10*g2^10) + t^5.27/(g1^4*g2^20) + (3*t^5.4)/(g1^8*g2^8) + (g2^4*t^5.53)/g1^12 + (2*t^5.55)/(g1^6*g2^6) + t^5.57/g2^16 + (g2^16*t^5.66)/g1^16 + (g2^6*t^5.68)/g1^10 + (3*t^5.7)/(g1^4*g2^4) + (g1^2*t^5.72)/g2^14 + (g1^8*t^5.74)/g2^24 + t^5.85/(g1^2*g2^2) - 3*t^6. - (g2^12*t^6.13)/g1^4 - (g1^8*t^6.17)/g2^8 - 2*g1^4*g2^4*t^6.3 + t^6.4/(g1^9*g2^25) - g2^16*t^6.43 - (g1^12*t^6.47)/g2^4 + t^6.53/(g1^13*g2^13) - g1^8*g2^8*t^6.6 + t^6.66/(g1^17*g2) + (2*t^6.7)/(g1^5*g2^21) + (3*t^6.83)/(g1^9*g2^9) + t^6.85/(g1^3*g2^19) + (g1^3*t^6.87)/g2^29 + (3*g2^3*t^6.96)/g1^13 + t^6.98/(g1^7*g2^7) + (2*t^7.)/(g1*g2^17) + (g2^15*t^7.08)/g1^17 + (g2^5*t^7.11)/g1^11 + (3*t^7.13)/(g1^5*g2^5) - (g1*t^7.15)/g2^15 + t^7.21/(g1^24*g2^24) + (3*g2^7*t^7.25)/g1^9 + (g1^3*t^7.3)/g2^13 + (g2^19*t^7.38)/g1^13 + (2*t^7.43)/(g1*g2) + (g1^5*t^7.45)/g2^11 + (g1^11*t^7.47)/g2^21 + (2*t^7.51)/(g1^20*g2^20) + (2*g2^11*t^7.55)/g1^5 + (g1^7*t^7.6)/g2^9 + t^7.63/(g1^24*g2^8) + t^7.66/(g1^18*g2^18) + t^7.68/(g1^12*g2^28) + (g2^23*t^7.68)/g1^9 - (g1^9*t^7.75)/g2^7 + (3*t^7.81)/(g1^16*g2^16) + (g1^11*t^7.89)/g2^5 + t^7.93/(g1^20*g2^4) + (2*t^7.95)/(g1^14*g2^14) + t^7.98/(g1^8*g2^24) + t^8./(g1^2*g2^34) - g1*g2^17*t^8. + (g1^13*t^8.04)/g2^3 + (g2^8*t^8.06)/g1^24 + (g1^19*t^8.07)/g2^13 + t^8.08/(g1^18*g2^2) + (5*t^8.1)/(g1^12*g2^12) + (2*t^8.13)/(g1^6*g2^22) + t^8.15/g2^32 - g1^3*g2^19*t^8.15 - g1^9*g2^9*t^8.17 + t^8.23/g1^16 + (4*t^8.25)/(g1^10*g2^10) - g1^11*g2^11*t^8.32 - g1^17*g2*t^8.34 + (g2^12*t^8.36)/g1^20 + (2*g2^2*t^8.38)/g1^14 + (2*t^8.42)/(g1^2*g2^18) + (g1^4*t^8.45)/g2^28 + (g2^24*t^8.49)/g1^24 + (2*g2^14*t^8.51)/g1^18 + (4*t^8.55)/(g1^6*g2^6) + (2*g1^6*t^8.59)/g2^26 + (g1^12*t^8.62)/g2^36 + (g2^6*t^8.68)/g1^10 - (7*t^8.7)/(g1^4*g2^4) + (g1^2*t^8.72)/g2^14 + t^8.8/(g1^17*g2^33) + (g2^18*t^8.81)/g1^14 - (6*g2^8*t^8.83)/g1^8 - t^8.85/(g1^2*g2^2) - (5*g1^4*t^8.87)/g2^12 + t^8.93/(g1^21*g2^21) - (g2^20*t^8.96)/g1^12 + (g2^10*t^8.98)/g1^6 - t^4.43/(g1*g2*y) - t^6.83/(g1^9*g2^9*y) - t^7.13/(g1^5*g2^5*y) - (g2^7*t^7.25)/(g1^9*y) - t^7.28/(g1^3*g2^3*y) - (g1^3*t^7.3)/(g2^13*y) + (g2^11*t^7.55)/(g1^5*y) + (g1*g2*t^7.57)/y + (g1^7*t^7.6)/(g2^9*y) + (g1^3*g2^3*t^7.72)/y + (g1^7*g2^7*t^8.02)/y + (2*t^8.1)/(g1^12*g2^12*y) + t^8.23/(g1^16*y) + t^8.25/(g1^10*g2^10*y) + t^8.27/(g1^4*g2^20*y) + (2*t^8.4)/(g1^8*g2^8*y) + (2*g2^4*t^8.53)/(g1^12*y) + (2*t^8.55)/(g1^6*g2^6*y) + (2*t^8.57)/(g2^16*y) + (g2^6*t^8.68)/(g1^10*y) + (3*t^8.7)/(g1^4*g2^4*y) + (g1^2*t^8.72)/(g2^14*y) + (g2^8*t^8.83)/(g1^8*y) + t^8.85/(g1^2*g2^2*y) + (g1^4*t^8.87)/(g2^12*y) - (t^4.43*y)/(g1*g2) - (t^6.83*y)/(g1^9*g2^9) - (t^7.13*y)/(g1^5*g2^5) - (g2^7*t^7.25*y)/g1^9 - (t^7.28*y)/(g1^3*g2^3) - (g1^3*t^7.3*y)/g2^13 + (g2^11*t^7.55*y)/g1^5 + g1*g2*t^7.57*y + (g1^7*t^7.6*y)/g2^9 + g1^3*g2^3*t^7.72*y + g1^7*g2^7*t^8.02*y + (2*t^8.1*y)/(g1^12*g2^12) + (t^8.23*y)/g1^16 + (t^8.25*y)/(g1^10*g2^10) + (t^8.27*y)/(g1^4*g2^20) + (2*t^8.4*y)/(g1^8*g2^8) + (2*g2^4*t^8.53*y)/g1^12 + (2*t^8.55*y)/(g1^6*g2^6) + (2*t^8.57*y)/g2^16 + (g2^6*t^8.68*y)/g1^10 + (3*t^8.7*y)/(g1^4*g2^4) + (g1^2*t^8.72*y)/g2^14 + (g2^8*t^8.83*y)/g1^8 + (t^8.85*y)/(g1^2*g2^2) + (g1^4*t^8.87*y)/g2^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56965 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3^2$ + $ M_1M_2$ + $ M_2M_7$ + $ M_1M_5$ | 0.7071 | 0.8737 | 0.8094 | [X:[], M:[0.9401, 1.0599, 1.0, 0.8801, 1.0599, 0.8801, 0.9401], q:[0.4401, 0.6199], qb:[0.5, 0.5], phi:[0.485]] | 2*t^2.64 + 2*t^2.82 + t^2.91 + t^3. + t^3.18 + t^4.1 + 2*t^4.28 + 3*t^4.46 + t^4.63 + 2*t^4.81 + t^5.17 + 3*t^5.28 + 3*t^5.46 + 2*t^5.55 + 3*t^5.64 + 2*t^5.73 + 3*t^5.82 + t^5.91 - 3*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46886 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3^2$ + $ M_1M_2$ | 0.7097 | 0.8751 | 0.811 | [X:[], M:[0.9161, 1.0839, 1.0, 0.8322, 0.9631, 0.953], q:[0.4765, 0.6074], qb:[0.4396, 0.5604], phi:[0.479]] | t^2.5 + t^2.75 + t^2.86 + t^2.87 + t^2.89 + t^3. + t^3.25 + t^4.07 + t^4.19 + t^4.3 + t^4.44 + t^4.55 + t^4.58 + t^4.69 + t^4.8 + t^4.94 + t^4.99 + t^5.08 + t^5.25 + t^5.36 + t^5.37 + t^5.39 + t^5.5 + t^5.62 + t^5.72 + t^5.73 + 3*t^5.75 + t^5.76 + t^5.78 + t^5.87 - 2*t^6. - t^4.44/y - t^4.44*y | detail |