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 |
|---|---|---|---|---|---|---|---|---|---|
| 1497 | 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_4M_5$ + $ M_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_7$ | 0.7209 | 0.8929 | 0.8074 | [X:[], M:[0.8043, 1.0652, 0.8464, 1.0231, 0.9769, 0.8926, 0.9769], q:[0.6631, 0.5326], qb:[0.4905, 0.4443], phi:[0.4674]] | [X:[], M:[[6, 6], [-2, -2], [3, 5], [1, -1], [-1, 1], [5, 3], [-1, 1]], q:[[-5, -5], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[1, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_7$, $ M_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ \phi_1q_1q_2$, $ M_3^2$, $ M_1M_6$, $ M_3M_6$, $ M_1\phi_1^2$, $ M_1M_5$, $ M_1M_7$, $ M_3\phi_1^2$, $ M_6^2$, $ \phi_1q_1^2$, $ M_3M_5$, $ M_3M_7$, $ M_1M_2$, $ M_5M_6$, $ M_6M_7$, $ \phi_1^4$, $ M_2M_3$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$ | . | -3 | t^2.41 + t^2.54 + t^2.68 + t^2.8 + 2*t^2.93 + t^3.2 + t^4.07 + t^4.21 + t^4.33 + t^4.35 + t^4.47 + t^4.6 + t^4.72 + t^4.83 + t^4.86 + t^4.95 + t^4.99 + t^5.08 + t^5.09 + 2*t^5.22 + 2*t^5.34 + t^5.36 + t^5.38 + 2*t^5.47 + 3*t^5.61 + 2*t^5.73 + 2*t^5.86 - 3*t^6. + t^6.13 - t^6.14 - t^6.27 - t^6.39 + t^6.48 - t^6.52 + t^6.61 + t^6.62 - t^6.66 + 2*t^6.75 + t^6.76 + 2*t^6.87 + 2*t^6.88 + 2*t^7. + 3*t^7.01 + t^7.02 + 3*t^7.14 + 2*t^7.15 + t^7.24 + 2*t^7.26 + 3*t^7.28 + t^7.36 + 2*t^7.4 + t^7.49 + t^7.5 + 2*t^7.53 + t^7.62 + 2*t^7.63 + t^7.65 + 3*t^7.76 + t^7.77 + 2*t^7.88 + t^7.9 + t^7.92 - t^7.93 + 2*t^8.01 + 3*t^8.02 + t^8.03 - t^8.06 + t^8.14 + 3*t^8.15 + 3*t^8.27 + t^8.29 + t^8.31 + 3*t^8.4 - t^8.41 - t^8.45 + 2*t^8.67 - 5*t^8.68 + t^8.69 + 3*t^8.79 - 4*t^8.8 + t^8.89 - 6*t^8.93 - t^8.94 - t^4.4/y - t^6.81/y - t^6.94/y - t^7.08/y - t^7.33/y + t^7.47/y + t^7.72/y + t^7.86/y + t^7.95/y + t^7.99/y + t^8.09/y + (2*t^8.22)/y + (3*t^8.34)/y + (2*t^8.47)/y + t^8.48/y + (3*t^8.61)/y + (3*t^8.73)/y + t^8.86/y + t^8.87/y - t^4.4*y - t^6.81*y - t^6.94*y - t^7.08*y - t^7.33*y + t^7.47*y + t^7.72*y + t^7.86*y + t^7.95*y + t^7.99*y + t^8.09*y + 2*t^8.22*y + 3*t^8.34*y + 2*t^8.47*y + t^8.48*y + 3*t^8.61*y + 3*t^8.73*y + t^8.86*y + t^8.87*y | g1^6*g2^6*t^2.41 + g1^3*g2^5*t^2.54 + g1^5*g2^3*t^2.68 + g1^2*g2^2*t^2.8 + (2*g2*t^2.93)/g1 + t^3.2/(g1^2*g2^2) + g1*g2^5*t^4.07 + g1^3*g2^3*t^4.21 + g2^2*t^4.33 + g1^5*g2*t^4.35 + g1^2*t^4.47 + t^4.6/(g1*g2) + t^4.72/(g1^4*g2^2) + g1^12*g2^12*t^4.83 + t^4.86/(g1^2*g2^4) + g1^9*g2^11*t^4.95 + t^4.99/(g1^5*g2^5) + g1^6*g2^10*t^5.08 + g1^11*g2^9*t^5.09 + 2*g1^8*g2^8*t^5.22 + 2*g1^5*g2^7*t^5.34 + g1^10*g2^6*t^5.36 + t^5.38/(g1^9*g2^9) + 2*g1^2*g2^6*t^5.47 + 3*g1^4*g2^4*t^5.61 + 2*g1*g2^3*t^5.73 + (2*g2^2*t^5.86)/g1^2 - 3*t^6. + t^6.13/(g1^3*g2) - (g1^2*t^6.14)/g2^2 - t^6.27/(g1*g2^3) - t^6.39/(g1^4*g2^4) + g1^7*g2^11*t^6.48 - t^6.52/(g1^7*g2^5) + g1^4*g2^10*t^6.61 + g1^9*g2^9*t^6.62 - t^6.66/(g1^5*g2^7) + 2*g1^6*g2^8*t^6.75 + g1^11*g2^7*t^6.76 + 2*g1^3*g2^7*t^6.87 + 2*g1^8*g2^6*t^6.88 + 2*g2^6*t^7. + 3*g1^5*g2^5*t^7.01 + g1^10*g2^4*t^7.02 + 3*g1^2*g2^4*t^7.14 + 2*g1^7*g2^3*t^7.15 + g1^18*g2^18*t^7.24 + (2*g2^3*t^7.26)/g1 + 3*g1^4*g2^2*t^7.28 + g1^15*g2^17*t^7.36 + 2*g1*g2*t^7.4 + g1^12*g2^16*t^7.49 + g1^17*g2^15*t^7.5 + (2*t^7.53)/g1^2 + g1^9*g2^15*t^7.62 + 2*g1^14*g2^14*t^7.63 + t^7.65/(g1^5*g2) + 3*g1^11*g2^13*t^7.76 + g1^16*g2^12*t^7.77 + 2*g1^8*g2^12*t^7.88 + g1^13*g2^11*t^7.9 + t^7.92/(g1^6*g2^4) - t^7.93/(g1*g2^5) + 2*g1^5*g2^11*t^8.01 + 3*g1^10*g2^10*t^8.02 + g1^15*g2^9*t^8.03 - t^8.06/(g1^4*g2^6) + g1^2*g2^10*t^8.14 + 3*g1^7*g2^9*t^8.15 + 3*g1^4*g2^8*t^8.27 + g1^9*g2^7*t^8.29 + t^8.31/(g1^10*g2^8) + 3*g1*g2^7*t^8.4 - g1^6*g2^6*t^8.41 - t^8.45/(g1^8*g2^10) + 2*g2^4*t^8.67 - 5*g1^5*g2^3*t^8.68 + g1^10*g2^2*t^8.69 + (3*g2^3*t^8.79)/g1^3 - 4*g1^2*g2^2*t^8.8 + g1^13*g2^17*t^8.89 - (6*g2*t^8.93)/g1 - g1^4*t^8.94 - (g1*g2*t^4.4)/y - (g1^7*g2^7*t^6.81)/y - (g1^4*g2^6*t^6.94)/y - (g1^6*g2^4*t^7.08)/y - (g2^2*t^7.33)/y + (g1^2*t^7.47)/y + t^7.72/(g1^4*g2^2*y) + t^7.86/(g1^2*g2^4*y) + (g1^9*g2^11*t^7.95)/y + t^7.99/(g1^5*g2^5*y) + (g1^11*g2^9*t^8.09)/y + (2*g1^8*g2^8*t^8.22)/y + (3*g1^5*g2^7*t^8.34)/y + (2*g1^2*g2^6*t^8.47)/y + (g1^7*g2^5*t^8.48)/y + (3*g1^4*g2^4*t^8.61)/y + (3*g1*g2^3*t^8.73)/y + (g2^2*t^8.86)/(g1^2*y) + (g1^3*g2*t^8.87)/y - g1*g2*t^4.4*y - g1^7*g2^7*t^6.81*y - g1^4*g2^6*t^6.94*y - g1^6*g2^4*t^7.08*y - g2^2*t^7.33*y + g1^2*t^7.47*y + (t^7.72*y)/(g1^4*g2^2) + (t^7.86*y)/(g1^2*g2^4) + g1^9*g2^11*t^7.95*y + (t^7.99*y)/(g1^5*g2^5) + g1^11*g2^9*t^8.09*y + 2*g1^8*g2^8*t^8.22*y + 3*g1^5*g2^7*t^8.34*y + 2*g1^2*g2^6*t^8.47*y + g1^7*g2^5*t^8.48*y + 3*g1^4*g2^4*t^8.61*y + 3*g1*g2^3*t^8.73*y + (g2^2*t^8.86*y)/g1^2 + g1^3*g2*t^8.87*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 962 | 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_4M_5$ + $ M_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.7198 | 0.8904 | 0.8084 | [X:[], M:[0.8037, 1.0654, 0.8691, 1.0, 1.0, 0.8691], q:[0.6636, 0.5327], qb:[0.4673, 0.4673], phi:[0.4673]] | t^2.41 + 2*t^2.61 + t^2.8 + 2*t^3. + t^3.2 + 3*t^4.21 + 2*t^4.4 + t^4.6 + 2*t^4.79 + t^4.82 + t^4.99 + 2*t^5.02 + 4*t^5.21 + t^5.38 + 2*t^5.41 + 5*t^5.61 + 2*t^5.8 - 2*t^6. - t^4.4/y - t^4.4*y | detail |