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 |
|---|---|---|---|---|---|---|---|---|---|
| 46626 | 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_1\phi_1^2$ + $ M_1M_5$ + $ \phi_1\tilde{q}_1^2$ | 0.6977 | 0.8713 | 0.8008 | [X:[], M:[1.1105, 0.7877, 0.6686, 0.9913, 0.8895], q:[0.4346, 0.4549], qb:[0.7776, 0.5538], phi:[0.4448]] | [X:[], M:[[0, 4], [1, 3], [0, -12], [-1, -11], [0, -4]], q:[[-1, -4], [1, 0]], qb:[[0, 1], [0, 11]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_4$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ M_3^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_3M_4$, $ M_2M_5$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_4M_5$, $ M_4\phi_1^2$, $ q_1^2\tilde{q}_2^2$, $ M_4^2$, $ M_3\phi_1q_1^2$ | . | -3 | t^2.01 + t^2.36 + 2*t^2.67 + 2*t^2.97 + t^3.7 + t^3.94 + t^4. + t^4.01 + t^4.06 + t^4.3 + t^4.36 + t^4.37 + t^4.66 + 2*t^4.67 + t^4.73 + t^4.97 + t^4.98 + 2*t^5.03 + t^5.33 + 4*t^5.34 + 2*t^5.63 + t^5.64 + t^5.93 + 2*t^5.95 - 3*t^6. + t^6.01 + t^6.02 + t^6.07 - t^6.3 + t^6.31 - t^6.36 + 4*t^6.37 + t^6.43 + 2*t^6.61 + t^6.66 + 2*t^6.67 + 2*t^6.68 + t^6.72 + 3*t^6.73 + t^6.91 + t^6.92 + t^6.97 + t^6.98 + t^6.99 + t^7.02 + t^7.03 + 2*t^7.04 + t^7.09 + t^7.26 - t^7.27 + t^7.33 + 4*t^7.34 + t^7.4 + t^7.62 - t^7.63 + 2*t^7.64 + t^7.65 - t^7.69 + 4*t^7.7 + t^7.76 + t^7.88 + 3*t^7.95 - t^7.99 + t^8. + 4*t^8.01 + t^8.02 + t^8.08 + t^8.13 + t^8.24 + 2*t^8.3 + 3*t^8.31 - 4*t^8.36 + t^8.37 + t^8.38 + t^8.42 + t^8.43 + 3*t^8.6 - t^8.61 + 3*t^8.62 - t^8.66 - 6*t^8.67 + 2*t^8.68 + 2*t^8.69 + t^8.73 + 3*t^8.74 + t^8.79 + t^8.9 + t^8.91 + 2*t^8.92 + t^8.96 - 6*t^8.97 + t^8.98 + t^8.99 - t^4.33/y - t^6.34/y - t^6.7/y - t^7./y - t^7.31/y + t^7.36/y + t^7.37/y + (3*t^7.67)/y + (2*t^7.97)/y + t^7.98/y + (2*t^8.03)/y + (2*t^8.33)/y + (2*t^8.34)/y - t^8.35/y + (2*t^8.63)/y + (2*t^8.64)/y + t^8.94/y + t^8.95/y - t^4.33*y - t^6.34*y - t^6.7*y - t^7.*y - t^7.31*y + t^7.36*y + t^7.37*y + 3*t^7.67*y + 2*t^7.97*y + t^7.98*y + 2*t^8.03*y + 2*t^8.33*y + 2*t^8.34*y - t^8.35*y + 2*t^8.63*y + 2*t^8.64*y + t^8.94*y + t^8.95*y | t^2.01/g2^12 + g1*g2^3*t^2.36 + (2*t^2.67)/g2^4 + t^2.97/(g1*g2^11) + (g2^7*t^2.97)/g1 + g1*g2*t^3.7 + t^3.94/(g1^2*g2^10) + t^4./g2^6 + t^4.01/g2^24 + (g1^2*t^4.06)/g2^2 + (g2^5*t^4.3)/g1 + g1*g2^9*t^4.36 + (g1*t^4.37)/g2^9 + g2^20*t^4.66 + (2*t^4.67)/g2^16 + g1^2*g2^6*t^4.73 + t^4.97/(g1*g2^5) + t^4.98/(g1*g2^23) + (2*g1*t^5.03)/g2 + g2^10*t^5.33 + (4*t^5.34)/g2^8 + (2*g2^3*t^5.63)/g1 + t^5.64/(g1*g2^15) + (g2^14*t^5.93)/g1^2 + (2*t^5.95)/(g1^2*g2^22) - 3*t^6. + t^6.01/g2^18 + t^6.02/g2^36 + (g1^2*t^6.07)/g2^14 - (g2^11*t^6.3)/g1 + t^6.31/(g1*g2^7) - g1*g2^15*t^6.36 + (g1*t^6.37)/g2^21 + (3*g1*t^6.37)/g2^3 + g1^3*g2*t^6.43 + (2*t^6.61)/(g1^2*g2^14) + g2^8*t^6.66 + (2*t^6.67)/g2^10 + (2*t^6.68)/g2^28 + g1^2*g2^12*t^6.72 + (3*g1^2*t^6.73)/g2^6 + t^6.91/(g1^3*g2^3) + t^6.92/(g1^3*g2^21) + (g2*t^6.97)/g1 + t^6.98/(g1*g2^17) + t^6.99/(g1*g2^35) + g1*g2^23*t^7.02 + g1*g2^5*t^7.03 + (2*g1*t^7.04)/g2^13 + g1^3*g2^9*t^7.09 + (g2^12*t^7.26)/g1^2 - t^7.27/(g1^2*g2^6) - t^7.33/g2^2 + 2*g2^16*t^7.33 + (4*t^7.34)/g2^20 + g1^2*g2^2*t^7.4 + (g2^27*t^7.62)/g1 - (g2^9*t^7.63)/g1 + (2*t^7.64)/(g1*g2^9) + t^7.65/(g1*g2^27) - g1*g2^13*t^7.69 + (4*g1*t^7.7)/g2^5 + (g1^3*t^7.76)/g2 + t^7.88/(g1^4*g2^20) + (2*t^7.95)/(g1^2*g2^34) + t^7.95/(g1^2*g2^16) - g2^24*t^7.99 + g2^6*t^8. + t^8.01/g2^30 + (3*t^8.01)/g2^12 + t^8.02/g2^48 + (g1^2*t^8.08)/g2^26 + (g1^4*t^8.13)/g2^4 + t^8.24/(g1^3*g2^5) + (2*t^8.3)/(g1*g2) + (3*t^8.31)/(g1*g2^19) - 4*g1*g2^3*t^8.36 + (g1*t^8.37)/g2^15 + (g1*t^8.38)/g2^33 + g1^3*g2^7*t^8.42 + (g1^3*t^8.43)/g2^11 + (3*g2^10*t^8.6)/g1^2 - t^8.61/(g1^2*g2^8) + (3*t^8.62)/(g1^2*g2^26) - g2^14*t^8.66 - (6*t^8.67)/g2^4 + (2*t^8.68)/g2^22 + (2*t^8.69)/g2^40 + g1^2*t^8.73 + (3*g1^2*t^8.74)/g2^18 + g1^4*g2^4*t^8.79 + (g2^21*t^8.9)/g1^3 + t^8.91/(g1^3*g2^15) + (2*t^8.92)/(g1^3*g2^33) + (g2^25*t^8.96)/g1 - t^8.97/(g1*g2^11) - (5*g2^7*t^8.97)/g1 + t^8.98/(g1*g2^29) + t^8.99/(g1*g2^47) - t^4.33/(g2^2*y) - t^6.34/(g2^14*y) - (g1*g2*t^6.7)/y - t^7./(g2^6*y) - t^7.31/(g1*g2^13*y) + (g1*g2^9*t^7.36)/y + (g1*t^7.37)/(g2^9*y) + (2*t^7.67)/(g2^16*y) + (g2^2*t^7.67)/y + (2*t^7.97)/(g1*g2^5*y) + t^7.98/(g1*g2^23*y) + (2*g1*t^8.03)/(g2*y) + (2*g2^10*t^8.33)/y + (2*t^8.34)/(g2^8*y) - t^8.35/(g2^26*y) + (2*g2^3*t^8.63)/(g1*y) + (2*t^8.64)/(g1*g2^15*y) + t^8.94/(g1^2*g2^4*y) + t^8.95/(g1^2*g2^22*y) - (t^4.33*y)/g2^2 - (t^6.34*y)/g2^14 - g1*g2*t^6.7*y - (t^7.*y)/g2^6 - (t^7.31*y)/(g1*g2^13) + g1*g2^9*t^7.36*y + (g1*t^7.37*y)/g2^9 + (2*t^7.67*y)/g2^16 + g2^2*t^7.67*y + (2*t^7.97*y)/(g1*g2^5) + (t^7.98*y)/(g1*g2^23) + (2*g1*t^8.03*y)/g2 + 2*g2^10*t^8.33*y + (2*t^8.34*y)/g2^8 - (t^8.35*y)/g2^26 + (2*g2^3*t^8.63*y)/g1 + (2*t^8.64*y)/(g1*g2^15) + (t^8.94*y)/(g1^2*g2^4) + (t^8.95*y)/(g1^2*g2^22) |
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 |
|---|---|---|---|---|---|---|---|---|
| 46807 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_5$ + $ \phi_1\tilde{q}_1^2$ + $ M_4M_5$ | 0.6892 | 0.8587 | 0.8026 | [X:[], M:[1.0848, 0.7456, 0.7456, 1.0848, 0.9152], q:[0.4832, 0.432], qb:[0.7712, 0.4832], phi:[0.4576]] | 2*t^2.24 + 2*t^2.75 + t^2.9 + t^3.25 + t^3.61 + t^3.96 + 2*t^4.12 + 3*t^4.27 + 3*t^4.47 + 4*t^4.98 + 2*t^5.14 + 5*t^5.49 + 2*t^5.64 + t^5.8 - 3*t^6. - t^4.37/y - t^4.37*y | detail | |
| 47124 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_5$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_1^2$ | 0.7185 | 0.912 | 0.7878 | [X:[], M:[1.1099, 0.7844, 0.6702, 0.9957, 0.8901, 0.6787], q:[0.4381, 0.4519], qb:[0.7775, 0.5523], phi:[0.445]] | t^2.01 + t^2.04 + t^2.35 + 2*t^2.67 + t^2.97 + t^2.99 + t^3.69 + t^4.01 + t^4.02 + 2*t^4.05 + t^4.07 + t^4.31 + t^4.35 + t^4.36 + t^4.39 + t^4.65 + 2*t^4.68 + 3*t^4.71 + t^4.98 + t^5. + t^5.01 + 3*t^5.02 + t^5.32 + 4*t^5.34 + 2*t^5.64 + t^5.66 + t^5.72 + t^5.94 + t^5.97 - 3*t^6. - t^4.34/y - t^4.34*y | detail | |
| 47127 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_5$ + $ \phi_1\tilde{q}_1^2$ + $ q_1^2\tilde{q}_2^2$ + $ M_3X_1$ | 0.6768 | 0.8295 | 0.8159 | [X:[1.3406], M:[1.1135, 0.7838, 0.6594, 0.9891, 0.8865], q:[0.4378, 0.4487], qb:[0.7784, 0.5622], phi:[0.4432]] | t^2.35 + 2*t^2.66 + t^2.97 + t^3. + t^3.68 + t^3.96 + t^3.99 + 2*t^4.02 + t^4.33 + t^4.36 + 2*t^4.7 + 2*t^5.01 + 4*t^5.32 + t^5.35 + t^5.63 + t^5.66 + t^5.93 - 2*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46318 | 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_1\phi_1^2$ + $ M_1M_5$ | 0.7211 | 0.8891 | 0.811 | [X:[], M:[1.0753, 0.9247, 0.774, 0.9247, 0.9247], q:[0.4623, 0.4623], qb:[0.613, 0.613], phi:[0.4623]] | t^2.32 + 4*t^2.77 + 2*t^3.23 + 3*t^4.16 + 4*t^4.61 + t^4.64 + 3*t^5.07 + 4*t^5.1 + 8*t^5.55 - t^4.39/y - t^4.39*y | detail |