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 |
|---|---|---|---|---|---|---|---|---|---|
| 707 | 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_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_6\phi_1q_2^2$ | 0.7056 | 0.886 | 0.7965 | [X:[], M:[0.9809, 1.1188, 0.9847, 0.7816, 0.7778, 0.6744], q:[0.7797, 0.4425], qb:[0.5766, 0.4387], phi:[0.4406]] | [X:[], M:[[-7, 1], [4, 0], [-11, -1], [-1, -1], [3, 1], [10, 2]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ q_1\tilde{q}_1$, $ M_5M_6$, $ M_4M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_6\phi_1^2$, $ M_4M_5$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_6$, $ M_3M_6$, $ M_5\phi_1^2$, $ M_4\phi_1^2$, $ M_1M_5$, $ M_1M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_3M_4$, $ M_2M_6$, $ M_2M_5$, $ M_2M_4$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_6\phi_1\tilde{q}_2^2$ | . | -2 | t^2.02 + t^2.33 + t^2.34 + t^2.64 + t^2.94 + t^2.95 + t^3.36 + t^3.95 + t^3.97 + t^4.05 + t^4.07 + t^4.36 + 2*t^4.37 + t^4.38 + 2*t^4.67 + t^4.68 + t^4.69 + t^4.78 + t^4.97 + 2*t^4.98 + t^4.99 + t^5.28 + 3*t^5.29 + t^5.3 + t^5.38 + t^5.69 + t^5.7 + t^5.89 + t^5.9 + t^5.91 + t^5.98 - 2*t^6. - t^6.01 + t^6.07 + t^6.09 + t^6.29 + 2*t^6.3 + t^6.31 + t^6.38 + 2*t^6.39 + t^6.4 + t^6.6 + 2*t^6.69 + 2*t^6.7 + 3*t^6.71 + t^6.72 + t^6.8 + t^6.9 + t^6.91 + t^6.99 + 3*t^7. + 2*t^7.01 + t^7.02 + t^7.03 + t^7.11 + t^7.13 + t^7.3 + 4*t^7.31 + 2*t^7.32 + t^7.4 + t^7.43 + t^7.61 + 2*t^7.62 + 2*t^7.63 + t^7.64 + t^7.71 + t^7.72 + 2*t^7.91 + 2*t^7.92 + 2*t^7.93 + t^8. - t^8.02 - t^8.03 + t^8.09 + t^8.12 + t^8.14 + t^8.22 + 2*t^8.23 + 2*t^8.24 + t^8.25 + t^8.31 + 2*t^8.32 - 2*t^8.33 - 4*t^8.34 - t^8.36 + t^8.4 + 2*t^8.41 + t^8.43 + 2*t^8.62 + t^8.63 + 2*t^8.71 + 2*t^8.72 + 4*t^8.74 + 2*t^8.83 + t^8.84 + 2*t^8.85 + t^8.86 + t^8.92 + t^8.93 - 3*t^8.94 - 4*t^8.95 - t^8.97 - t^4.32/y - t^6.35/y - t^6.66/y - t^6.67/y - t^7.26/y - t^7.28/y + t^7.36/y + (2*t^7.37)/y + t^7.38/y + t^7.67/y + t^7.68/y + t^7.97/y + (3*t^7.98)/y + (2*t^7.99)/y + t^8.28/y + (2*t^8.29)/y + (2*t^8.3)/y - t^8.37/y + t^8.38/y + t^8.59/y + t^8.6/y - t^8.68/y + t^8.7/y + t^8.9/y + t^8.98/y - t^4.32*y - t^6.35*y - t^6.66*y - t^6.67*y - t^7.26*y - t^7.28*y + t^7.36*y + 2*t^7.37*y + t^7.38*y + t^7.67*y + t^7.68*y + t^7.97*y + 3*t^7.98*y + 2*t^7.99*y + t^8.28*y + 2*t^8.29*y + 2*t^8.3*y - t^8.37*y + t^8.38*y + t^8.59*y + t^8.6*y - t^8.68*y + t^8.7*y + t^8.9*y + t^8.98*y | g1^10*g2^2*t^2.02 + g1^3*g2*t^2.33 + t^2.34/(g1*g2) + t^2.64/g1^4 + (g2*t^2.94)/g1^7 + t^2.95/(g1^11*g2) + g1^4*t^3.36 + (g2^2*t^3.95)/g1^2 + t^3.97/g1^6 + g1^20*g2^4*t^4.05 + g1^12*t^4.07 + g1^13*g2^3*t^4.36 + 2*g1^9*g2*t^4.37 + (g1^5*t^4.38)/g2 + 2*g1^6*g2^2*t^4.67 + g1^2*t^4.68 + t^4.69/(g1^2*g2^2) + g1^20*t^4.78 + g1^3*g2^3*t^4.97 + (2*g2*t^4.98)/g1 + t^4.99/(g1^5*g2) + (g2^2*t^5.28)/g1^4 + (3*t^5.29)/g1^8 + t^5.3/(g1^12*g2^2) + g1^14*g2^2*t^5.38 + g1^7*g2*t^5.69 + (g1^3*t^5.7)/g2 + (g2^2*t^5.89)/g1^14 + t^5.9/g1^18 + t^5.91/(g1^22*g2^2) + g1^8*g2^4*t^5.98 - 2*t^6. - t^6.01/(g1^4*g2^2) + g1^30*g2^6*t^6.07 + g1^22*g2^2*t^6.09 + g1*g2^3*t^6.29 + (2*g2*t^6.3)/g1^3 + t^6.31/(g1^7*g2) + g1^23*g2^5*t^6.38 + 2*g1^19*g2^3*t^6.39 + g1^15*g2*t^6.4 + (g2^2*t^6.6)/g1^6 + 2*g1^16*g2^4*t^6.69 + 2*g1^12*g2^2*t^6.7 + 3*g1^8*t^6.71 + (g1^4*t^6.72)/g2^2 + g1^30*g2^2*t^6.8 + (g2^3*t^6.9)/g1^9 + (g2*t^6.91)/g1^13 + g1^13*g2^5*t^6.99 + 3*g1^9*g2^3*t^7. + 2*g1^5*g2*t^7.01 + (g1*t^7.02)/g2 + t^7.03/(g1^3*g2^3) + g1^23*g2*t^7.11 + (g1^19*t^7.13)/g2 + g1^6*g2^4*t^7.3 + 4*g1^2*g2^2*t^7.31 + (2*t^7.32)/g1^2 + g1^24*g2^4*t^7.4 + g1^16*t^7.43 + (g2^3*t^7.61)/g1 + (2*g2*t^7.62)/g1^5 + (2*t^7.63)/(g1^9*g2) + t^7.64/(g1^13*g2^3) + g1^17*g2^3*t^7.71 + g1^13*g2*t^7.72 + (2*g2^4*t^7.91)/g1^4 + (2*g2^2*t^7.92)/g1^8 + (2*t^7.93)/g1^12 + g1^18*g2^6*t^8. - g1^10*g2^2*t^8.02 - g1^6*t^8.03 + g1^40*g2^8*t^8.09 + g1^32*g2^4*t^8.12 + g1^24*t^8.14 + (g2^3*t^8.22)/g1^11 + (2*g2*t^8.23)/g1^15 + (2*t^8.24)/(g1^19*g2) + t^8.25/(g1^23*g2^3) + g1^11*g2^5*t^8.31 + 2*g1^7*g2^3*t^8.32 - 2*g1^3*g2*t^8.33 - (4*t^8.34)/(g1*g2) - t^8.36/(g1^5*g2^3) + g1^33*g2^7*t^8.4 + 2*g1^29*g2^5*t^8.41 + g1^25*g2^3*t^8.43 + 2*g1^4*g2^4*t^8.62 + g2^2*t^8.63 + 2*g1^26*g2^6*t^8.71 + 2*g1^22*g2^4*t^8.72 + 4*g1^18*g2^2*t^8.74 + (g2^3*t^8.83)/g1^21 + g1^40*g2^4*t^8.83 + (g2*t^8.84)/g1^25 + g1^32*t^8.85 + t^8.85/(g1^29*g2) + t^8.86/(g1^33*g2^3) + g1*g2^5*t^8.92 + (g2^3*t^8.93)/g1^3 - (3*g2*t^8.94)/g1^7 - (4*t^8.95)/(g1^11*g2) - t^8.97/(g1^15*g2^3) - t^4.32/(g1^2*y) - (g1^8*g2^2*t^6.35)/y - (g1*g2*t^6.66)/y - t^6.67/(g1^3*g2*y) - (g2*t^7.26)/(g1^9*y) - t^7.28/(g1^13*g2*y) + (g1^13*g2^3*t^7.36)/y + (2*g1^9*g2*t^7.37)/y + (g1^5*t^7.38)/(g2*y) + (g1^6*g2^2*t^7.67)/y + (g1^2*t^7.68)/y + (g1^3*g2^3*t^7.97)/y + (3*g2*t^7.98)/(g1*y) + (2*t^7.99)/(g1^5*g2*y) + (g2^2*t^8.28)/(g1^4*y) + (2*t^8.29)/(g1^8*y) + (2*t^8.3)/(g1^12*g2^2*y) - (g1^18*g2^4*t^8.37)/y + (g1^14*g2^2*t^8.38)/y + (g2*t^8.59)/(g1^11*y) + t^8.6/(g1^15*g2*y) - (g1^11*g2^3*t^8.68)/y + (g1^3*t^8.7)/(g2*y) + t^8.9/(g1^18*y) + (g1^8*g2^4*t^8.98)/y - (t^4.32*y)/g1^2 - g1^8*g2^2*t^6.35*y - g1*g2*t^6.66*y - (t^6.67*y)/(g1^3*g2) - (g2*t^7.26*y)/g1^9 - (t^7.28*y)/(g1^13*g2) + g1^13*g2^3*t^7.36*y + 2*g1^9*g2*t^7.37*y + (g1^5*t^7.38*y)/g2 + g1^6*g2^2*t^7.67*y + g1^2*t^7.68*y + g1^3*g2^3*t^7.97*y + (3*g2*t^7.98*y)/g1 + (2*t^7.99*y)/(g1^5*g2) + (g2^2*t^8.28*y)/g1^4 + (2*t^8.29*y)/g1^8 + (2*t^8.3*y)/(g1^12*g2^2) - g1^18*g2^4*t^8.37*y + g1^14*g2^2*t^8.38*y + (g2*t^8.59*y)/g1^11 + (t^8.6*y)/(g1^15*g2) - g1^11*g2^3*t^8.68*y + (g1^3*t^8.7*y)/g2 + (t^8.9*y)/g1^18 + g1^8*g2^4*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 1154 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_6\phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.7264 | 0.9268 | 0.7838 | [X:[], M:[0.9847, 1.1179, 0.9847, 0.7795, 0.7795, 0.6769, 0.6769], q:[0.7795, 0.441], qb:[0.5743, 0.441], phi:[0.441]] | 2*t^2.03 + 2*t^2.34 + t^2.65 + 2*t^2.95 + t^3.35 + t^3.97 + 4*t^4.06 + 6*t^4.37 + 5*t^4.68 + t^4.77 + 6*t^4.98 + 5*t^5.29 + 2*t^5.38 + 2*t^5.69 + 3*t^5.91 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 1980 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_6\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ | 0.6641 | 0.8412 | 0.7894 | [X:[], M:[0.7825, 1.2, 0.8175, 0.8175, 0.7825, 0.7651], q:[0.8, 0.4175], qb:[0.8, 0.3825], phi:[0.4]] | t^2.3 + 2*t^2.35 + t^2.4 + 2*t^2.45 + t^3.5 + 2*t^3.6 + t^4.59 + 2*t^4.64 + 4*t^4.7 + 4*t^4.75 + 6*t^4.8 + 2*t^4.85 + 3*t^4.9 + t^5.79 + 2*t^5.84 + 2*t^5.9 + 4*t^5.95 - t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 423 | 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_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ | 0.6848 | 0.8448 | 0.8106 | [X:[], M:[0.9816, 1.1193, 0.9816, 0.7798, 0.7798], q:[0.7798, 0.4404], qb:[0.578, 0.4404], phi:[0.4404]] | 2*t^2.34 + t^2.64 + 2*t^2.94 + t^3.36 + 3*t^3.96 + t^4.07 + 2*t^4.38 + 3*t^4.68 + t^4.79 + 2*t^4.98 + 5*t^5.28 + 2*t^5.7 + 3*t^5.89 - 4*t^6. - t^4.32/y - t^4.32*y | detail |