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 |
|---|---|---|---|---|---|---|---|---|---|
| 2349 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ | 0.7136 | 0.8827 | 0.8084 | [X:[], M:[1.0914, 1.0457, 0.8172, 0.9603, 0.9483, 1.0, 0.9086, 0.9086], q:[0.4742, 0.4344], qb:[0.5656, 0.6173], phi:[0.4771]] | [X:[], M:[[4, 4], [2, 2], [-8, -8], [-12, 4], [8, -8], [0, 0], [-4, -4], [-4, -4]], q:[[4, -4], [-8, 0]], qb:[[8, 0], [0, 8]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_7$, $ M_8$, $ M_5$, $ M_4$, $ M_6$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_7$, $ M_3M_8$, $ M_3M_5$, $ M_3M_4$, $ M_3M_6$, $ M_7^2$, $ M_7M_8$, $ M_8^2$, $ M_5M_7$, $ M_5M_8$, $ M_2M_3$, $ M_4M_7$, $ M_4M_8$, $ M_5^2$, $ M_4M_5$, $ M_6M_7$, $ M_6M_8$, $ M_4^2$, $ M_2M_7$, $ M_2M_8$, $ M_2M_5$ | . | -3 | t^2.45 + 2*t^2.73 + t^2.84 + t^2.88 + t^3. + t^3.14 + t^4.04 + t^4.16 + t^4.28 + t^4.43 + t^4.55 + t^4.59 + t^4.71 + t^4.82 + t^4.9 + t^4.98 + t^5.13 + 2*t^5.18 + t^5.3 + t^5.33 + 3*t^5.45 + t^5.57 + t^5.59 + t^5.61 + t^5.69 + 2*t^5.73 + t^5.76 + 2*t^5.86 + t^5.98 - 3*t^6. + t^6.02 - t^6.12 + t^6.14 - t^6.16 - t^6.27 - t^6.39 - t^6.43 + t^6.49 - t^6.55 + t^6.61 + t^6.73 + 2*t^6.76 + 3*t^6.88 + t^6.92 + 3*t^7. + 2*t^7.04 + t^7.12 + 3*t^7.16 + 3*t^7.28 + t^7.31 + t^7.35 + t^7.4 + 2*t^7.43 + t^7.47 + 2*t^7.55 + t^7.59 + 2*t^7.63 + t^7.67 + t^7.75 + t^7.78 + t^7.86 + 3*t^7.9 + 2*t^8.02 + t^8.04 + t^8.06 + t^8.08 - t^8.1 + t^8.14 + 4*t^8.18 + t^8.2 + t^8.21 - t^8.25 + t^8.3 + 3*t^8.31 + t^8.42 + 2*t^8.43 - 2*t^8.45 + 2*t^8.47 + t^8.49 + t^8.53 + t^8.55 - t^8.57 + 4*t^8.59 - t^8.61 + t^8.62 + t^8.64 + 2*t^8.71 - 7*t^8.73 + 2*t^8.74 + 2*t^8.83 - 6*t^8.84 + 4*t^8.86 - 5*t^8.88 + t^8.9 + t^8.94 - t^8.96 + 2*t^8.98 - t^4.43/y - t^6.88/y - t^7.16/y - t^7.28/y - t^7.31/y + t^7.55/y + t^7.59/y + t^7.71/y + t^7.98/y + (2*t^8.18)/y + t^8.3/y + t^8.33/y + (2*t^8.45)/y + (2*t^8.57)/y + t^8.59/y + (2*t^8.61)/y + (3*t^8.73)/y + t^8.84/y + (2*t^8.86)/y + t^8.88/y + t^8.98/y - t^4.43*y - t^6.88*y - t^7.16*y - t^7.28*y - t^7.31*y + t^7.55*y + t^7.59*y + t^7.71*y + t^7.98*y + 2*t^8.18*y + t^8.3*y + t^8.33*y + 2*t^8.45*y + 2*t^8.57*y + t^8.59*y + 2*t^8.61*y + 3*t^8.73*y + t^8.84*y + 2*t^8.86*y + t^8.88*y + t^8.98*y | t^2.45/(g1^8*g2^8) + (2*t^2.73)/(g1^4*g2^4) + (g1^8*t^2.84)/g2^8 + (g2^4*t^2.88)/g1^12 + t^3. + g1^2*g2^2*t^3.14 + t^4.04/(g1^17*g2) + t^4.16/(g1^5*g2^5) + (g1^7*t^4.28)/g2^9 + t^4.43/(g1*g2) + (g1^11*t^4.55)/g2^5 + (g2^7*t^4.59)/g1^9 + g1^3*g2^3*t^4.71 + (g1^15*t^4.82)/g2 + t^4.9/(g1^16*g2^16) + g1^7*g2^7*t^4.98 + (g2^15*t^5.13)/g1 + (2*t^5.18)/(g1^12*g2^12) + t^5.3/g2^16 + t^5.33/(g1^20*g2^4) + (3*t^5.45)/(g1^8*g2^8) + (g1^4*t^5.57)/g2^12 + t^5.59/(g1^6*g2^6) + t^5.61/g1^16 + (g1^16*t^5.69)/g2^16 + (2*t^5.73)/(g1^4*g2^4) + (g2^8*t^5.76)/g1^24 + (2*t^5.86)/(g1^2*g2^2) + (g1^10*t^5.98)/g2^6 - 3*t^6. + (g2^6*t^6.02)/g1^10 - (g1^12*t^6.12)/g2^4 + g1^2*g2^2*t^6.14 - (g2^8*t^6.16)/g1^8 - g1^4*g2^4*t^6.27 - g1^16*t^6.39 - (g2^12*t^6.43)/g1^4 + t^6.49/(g1^25*g2^9) - g1^8*g2^8*t^6.55 + t^6.61/(g1^13*g2^13) + t^6.73/(g1*g2^17) + (2*t^6.76)/(g1^21*g2^5) + (3*t^6.88)/(g1^9*g2^9) + (g2^3*t^6.92)/g1^29 + (3*g1^3*t^7.)/g2^13 + (2*t^7.04)/(g1^17*g2) + (g1^15*t^7.12)/g2^17 + (3*t^7.16)/(g1^5*g2^5) + (3*g1^7*t^7.28)/g2^9 + (g2^3*t^7.31)/g1^13 + t^7.35/(g1^24*g2^24) + (g1^19*t^7.4)/g2^13 + (2*t^7.43)/(g1*g2) + (g2^11*t^7.47)/g1^21 + (2*g1^11*t^7.55)/g2^5 + (g2^7*t^7.59)/g1^9 + (2*t^7.63)/(g1^20*g2^20) + (g1^23*t^7.67)/g2^9 + t^7.75/(g1^8*g2^24) + t^7.78/(g1^28*g2^12) + (g2^11*t^7.86)/g1^5 + (3*t^7.9)/(g1^16*g2^16) + t^8.02/(g1^4*g2^20) + (g2^19*t^8.02)/g1^13 + t^8.04/(g1^14*g2^14) + t^8.06/(g1^24*g2^8) + t^8.08/(g1^34*g2^2) - g1^19*g2^3*t^8.1 + (g1^8*t^8.14)/g2^24 + (4*t^8.18)/(g1^12*g2^12) + t^8.2/(g1^22*g2^6) + t^8.21/g1^32 - g1^11*g2^11*t^8.25 + t^8.3/g2^16 + (3*t^8.31)/(g1^10*g2^10) + (g1^12*t^8.42)/g2^20 + (2*g1^2*t^8.43)/g2^14 - (2*t^8.45)/(g1^8*g2^8) + (2*t^8.47)/(g1^18*g2^2) + (g2^4*t^8.49)/g1^28 + (g1^24*t^8.53)/g2^24 + (g1^14*t^8.55)/g2^18 - (g1^4*t^8.57)/g2^12 + (4*t^8.59)/(g1^6*g2^6) - t^8.61/g1^16 + (g2^6*t^8.62)/g1^26 + (g2^12*t^8.64)/g1^36 + (2*g1^6*t^8.71)/g2^10 - (7*t^8.73)/(g1^4*g2^4) + (2*g2^2*t^8.74)/g1^14 + (2*g1^18*t^8.83)/g2^14 - (6*g1^8*t^8.84)/g2^8 + (4*t^8.86)/(g1^2*g2^2) - (5*g2^4*t^8.88)/g1^12 + (g2^10*t^8.9)/g1^22 + t^8.94/(g1^33*g2^17) - (g1^20*t^8.96)/g2^12 + (2*g1^10*t^8.98)/g2^6 - t^4.43/(g1*g2*y) - t^6.88/(g1^9*g2^9*y) - t^7.16/(g1^5*g2^5*y) - (g1^7*t^7.28)/(g2^9*y) - (g2^3*t^7.31)/(g1^13*y) + (g1^11*t^7.55)/(g2^5*y) + (g2^7*t^7.59)/(g1^9*y) + (g1^3*g2^3*t^7.71)/y + (g1^7*g2^7*t^7.98)/y + (2*t^8.18)/(g1^12*g2^12*y) + t^8.3/(g2^16*y) + t^8.33/(g1^20*g2^4*y) + (2*t^8.45)/(g1^8*g2^8*y) + (2*g1^4*t^8.57)/(g2^12*y) + t^8.59/(g1^6*g2^6*y) + (2*t^8.61)/(g1^16*y) + (3*t^8.73)/(g1^4*g2^4*y) + (g1^8*t^8.84)/(g2^8*y) + (2*t^8.86)/(g1^2*g2^2*y) + (g2^4*t^8.88)/(g1^12*y) + (g1^10*t^8.98)/(g2^6*y) - (t^4.43*y)/(g1*g2) - (t^6.88*y)/(g1^9*g2^9) - (t^7.16*y)/(g1^5*g2^5) - (g1^7*t^7.28*y)/g2^9 - (g2^3*t^7.31*y)/g1^13 + (g1^11*t^7.55*y)/g2^5 + (g2^7*t^7.59*y)/g1^9 + g1^3*g2^3*t^7.71*y + g1^7*g2^7*t^7.98*y + (2*t^8.18*y)/(g1^12*g2^12) + (t^8.3*y)/g2^16 + (t^8.33*y)/(g1^20*g2^4) + (2*t^8.45*y)/(g1^8*g2^8) + (2*g1^4*t^8.57*y)/g2^12 + (t^8.59*y)/(g1^6*g2^6) + (2*t^8.61*y)/g1^16 + (3*t^8.73*y)/(g1^4*g2^4) + (g1^8*t^8.84*y)/g2^8 + (2*t^8.86*y)/(g1^2*g2^2) + (g2^4*t^8.88*y)/g1^12 + (g1^10*t^8.98*y)/g2^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4343 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ + $ M_3M_4$ | 0.6987 | 0.8593 | 0.8131 | [X:[], M:[1.0307, 1.0154, 0.9385, 1.0615, 0.9078, 1.0, 0.9693, 0.9693], q:[0.4539, 0.5154], qb:[0.4846, 0.5769], phi:[0.4923]] | t^2.72 + t^2.82 + 2*t^2.91 + t^3. + t^3.05 + t^3.18 + t^4.2 + t^4.29 + 2*t^4.38 + t^4.48 + 2*t^4.57 + t^4.66 + t^4.75 + t^4.94 + t^5.45 + t^5.54 + 2*t^5.63 + 2*t^5.72 + t^5.77 + 2*t^5.82 + t^5.86 + t^5.91 + 2*t^5.95 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 4342 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ + $ M_3M_5$ | 0.6985 | 0.859 | 0.8132 | [X:[], M:[1.0297, 1.0148, 0.9407, 0.911, 1.0593, 1.0, 0.9703, 0.9703], q:[0.5297, 0.4407], qb:[0.5593, 0.5], phi:[0.4926]] | t^2.73 + t^2.82 + 2*t^2.91 + t^3. + t^3.04 + t^3.18 + t^4.12 + t^4.3 + t^4.39 + 2*t^4.48 + t^4.57 + 2*t^4.66 + t^4.74 + t^4.83 + t^5.47 + t^5.55 + 2*t^5.64 + 2*t^5.73 + t^5.78 + 2*t^5.82 + t^5.87 + t^5.91 + 2*t^5.96 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 4345 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ + $ M_4M_7$ | 0.7044 | 0.8684 | 0.8112 | [X:[], M:[1.0547, 1.0273, 0.8907, 1.0547, 0.8907, 1.0, 0.9453, 0.9453], q:[0.4453, 0.5], qb:[0.5, 0.6093], phi:[0.4863]] | 2*t^2.67 + 2*t^2.84 + t^3. + t^3.08 + t^3.16 + t^4.13 + 2*t^4.3 + 3*t^4.46 + t^4.62 + 2*t^4.79 + t^5.11 + 3*t^5.34 + 3*t^5.51 + 3*t^5.67 + 2*t^5.75 + 2*t^5.84 + 2*t^5.92 - 3*t^6. - t^4.46/y - t^4.46*y | detail | |
| 4344 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ + $ M_5M_7$ | 0.7039 | 0.8673 | 0.8115 | [X:[], M:[1.0512, 1.0256, 0.8975, 0.8975, 1.0512, 1.0, 0.9488, 0.9488], q:[0.5256, 0.4231], qb:[0.5769, 0.5256], phi:[0.4872]] | 2*t^2.69 + 2*t^2.85 + t^3. + t^3.08 + t^3.15 + t^4. + 2*t^4.31 + t^4.46 + 3*t^4.62 + 2*t^4.77 + t^4.92 + 3*t^5.39 + 3*t^5.54 + 3*t^5.69 + 2*t^5.77 + 2*t^5.85 + 2*t^5.92 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1316 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ | 0.706 | 0.8681 | 0.8132 | [X:[], M:[1.0752, 1.0376, 0.8495, 0.9665, 0.9583, 1.0, 0.9248], q:[0.4791, 0.4456], qb:[0.5544, 0.5961], phi:[0.4812]] | t^2.55 + t^2.77 + t^2.87 + t^2.9 + t^3. + t^3.11 + t^3.23 + t^4.12 + t^4.22 + t^4.32 + t^4.44 + t^4.54 + t^4.57 + t^4.67 + t^4.77 + t^4.9 + t^5.02 + t^5.1 + t^5.32 + t^5.42 + t^5.45 + t^5.55 + t^5.66 + t^5.75 + 2*t^5.77 + t^5.8 + t^5.89 + t^5.99 - 2*t^6. - t^4.44/y - t^4.44*y | detail |