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 |
|---|---|---|---|---|---|---|---|---|---|
| 2224 | 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_7q_1\tilde{q}_1$ | 0.6695 | 0.8409 | 0.7962 | [X:[], M:[1.1395, 1.0969, 0.9244, 0.8605, 0.688, 1.0969, 0.7093], q:[0.7742, 0.344], qb:[0.5165, 0.5591], phi:[0.4515]] | [X:[], M:[[8], [-4], [10], [-8], [6], [-4], [12]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_4$, $ M_3$, $ M_2$, $ M_6$, $ q_1q_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_4M_7$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_3M_7$, $ M_4^2$, $ M_3M_4$, $ M_2M_5$, $ M_5M_6$, $ M_2M_7$, $ M_6M_7$, $ M_5q_1q_2$, $ M_1M_5$, $ M_7q_1q_2$, $ M_3^2$, $ M_1M_7$, $ M_2M_4$, $ M_4M_6$, $ M_4q_1q_2$ | . | -2 | t^2.06 + t^2.13 + t^2.58 + t^2.77 + 2*t^3.29 + t^3.35 + t^3.42 + t^4. + t^4.06 + t^4.13 + t^4.19 + t^4.26 + t^4.45 + t^4.58 + t^4.65 + 2*t^4.71 + t^4.84 + t^4.9 + t^5.16 + 2*t^5.35 + 3*t^5.42 + t^5.48 + 2*t^5.55 + t^5.87 + t^5.94 - 2*t^6. + 2*t^6.06 + 2*t^6.13 + 3*t^6.19 + t^6.26 + t^6.32 + t^6.38 + 3*t^6.58 + t^6.65 + 2*t^6.71 + 3*t^6.77 + 3*t^6.84 + t^6.9 + t^6.96 + t^7.03 + t^7.04 + t^7.29 + t^7.35 + 3*t^7.42 + 4*t^7.48 + 3*t^7.55 + 2*t^7.61 + 2*t^7.67 + 2*t^7.74 + 2*t^8. - t^8.06 + t^8.13 + 3*t^8.19 + 3*t^8.26 + 4*t^8.32 + t^8.38 + 2*t^8.45 + t^8.51 - 2*t^8.58 + 4*t^8.71 - t^8.77 + 4*t^8.84 + 4*t^8.9 + t^8.91 + 5*t^8.96 - t^4.35/y - t^6.42/y - t^6.48/y + t^7.06/y - t^7.13/y + t^7.19/y + t^7.58/y + t^7.71/y + t^7.84/y + t^7.9/y + t^8.23/y + t^8.29/y + (3*t^8.35)/y + (3*t^8.42)/y + t^8.48/y - t^8.61/y + (2*t^8.87)/y + t^8.94/y - t^4.35*y - t^6.42*y - t^6.48*y + t^7.06*y - t^7.13*y + t^7.19*y + t^7.58*y + t^7.71*y + t^7.84*y + t^7.9*y + t^8.23*y + t^8.29*y + 3*t^8.35*y + 3*t^8.42*y + t^8.48*y - t^8.61*y + 2*t^8.87*y + t^8.94*y | g1^6*t^2.06 + g1^12*t^2.13 + t^2.58/g1^8 + g1^10*t^2.77 + (2*t^3.29)/g1^4 + g1^2*t^3.35 + g1^8*t^3.42 + t^4. + g1^6*t^4.06 + g1^12*t^4.13 + g1^18*t^4.19 + g1^24*t^4.26 + t^4.45/g1^20 + t^4.58/g1^8 + t^4.65/g1^2 + 2*g1^4*t^4.71 + g1^16*t^4.84 + g1^22*t^4.9 + t^5.16/g1^16 + 2*g1^2*t^5.35 + 3*g1^8*t^5.42 + g1^14*t^5.48 + 2*g1^20*t^5.55 + t^5.87/g1^12 + t^5.94/g1^6 - 2*t^6. + 2*g1^6*t^6.06 + 2*g1^12*t^6.13 + 3*g1^18*t^6.19 + g1^24*t^6.26 + g1^30*t^6.32 + g1^36*t^6.38 + (3*t^6.58)/g1^8 + t^6.65/g1^2 + 2*g1^4*t^6.71 + 3*g1^10*t^6.77 + 3*g1^16*t^6.84 + g1^22*t^6.9 + g1^28*t^6.96 + g1^34*t^7.03 + t^7.04/g1^28 + t^7.29/g1^4 + g1^2*t^7.35 + 3*g1^8*t^7.42 + 4*g1^14*t^7.48 + 3*g1^20*t^7.55 + 2*g1^26*t^7.61 + 2*g1^32*t^7.67 + (2*t^7.74)/g1^24 + 2*t^8. - g1^6*t^8.06 + g1^12*t^8.13 + 3*g1^18*t^8.19 + 3*g1^24*t^8.26 + 4*g1^30*t^8.32 + g1^36*t^8.38 + t^8.45/g1^20 + g1^42*t^8.45 + g1^48*t^8.51 - (2*t^8.58)/g1^8 + 4*g1^4*t^8.71 - g1^10*t^8.77 + 4*g1^16*t^8.84 + 4*g1^22*t^8.9 + t^8.91/g1^40 + 5*g1^28*t^8.96 - (g1^2*t^4.35)/y - (g1^8*t^6.42)/y - (g1^14*t^6.48)/y + (g1^6*t^7.06)/y - (g1^12*t^7.13)/y + (g1^18*t^7.19)/y + t^7.58/(g1^8*y) + (g1^4*t^7.71)/y + (g1^16*t^7.84)/y + (g1^22*t^7.9)/y + t^8.23/(g1^10*y) + t^8.29/(g1^4*y) + (3*g1^2*t^8.35)/y + (3*g1^8*t^8.42)/y + (g1^14*t^8.48)/y - (g1^26*t^8.61)/y + (2*t^8.87)/(g1^12*y) + t^8.94/(g1^6*y) - g1^2*t^4.35*y - g1^8*t^6.42*y - g1^14*t^6.48*y + g1^6*t^7.06*y - g1^12*t^7.13*y + g1^18*t^7.19*y + (t^7.58*y)/g1^8 + g1^4*t^7.71*y + g1^16*t^7.84*y + g1^22*t^7.9*y + (t^8.23*y)/g1^10 + (t^8.29*y)/g1^4 + 3*g1^2*t^8.35*y + 3*g1^8*t^8.42*y + g1^14*t^8.48*y - g1^26*t^8.61*y + (2*t^8.87*y)/g1^12 + (t^8.94*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4225 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_7q_1\tilde{q}_1$ + $ M_3M_7$ | 0.6244 | 0.7853 | 0.795 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7879, 1.0303, 0.9091], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.18 + t^2.36 + t^2.73 + 2*t^3.09 + t^3.27 + 2*t^3.45 + t^3.82 + t^4. + t^4.18 + 2*t^4.36 + t^4.55 + t^4.73 + 2*t^4.91 + t^5.09 + t^5.27 + 3*t^5.45 + 3*t^5.64 + 3*t^5.82 - t^6. - t^4.45/y - t^4.45*y | detail | {a: 39889/63888, c: 25087/31944, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 26/33, M6: 34/33, M7: 10/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 4226 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1q_2$ | 0.6802 | 0.8587 | 0.7921 | [X:[], M:[1.1435, 1.0949, 0.9294, 0.8565, 0.691, 1.0949, 0.7153, 0.8808], q:[0.7737, 0.3455], qb:[0.511, 0.5596], phi:[0.4525]] | t^2.07 + t^2.15 + t^2.57 + t^2.64 + t^2.79 + 2*t^3.28 + t^3.43 + t^4. + t^4.07 + t^4.15 + t^4.22 + t^4.29 + t^4.42 + t^4.57 + t^4.64 + 3*t^4.72 + t^4.79 + t^4.86 + t^4.93 + t^5.14 + t^5.21 + t^5.28 + 2*t^5.36 + 3*t^5.43 + 2*t^5.58 + t^5.85 + 2*t^5.93 - 2*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1167 | 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1^2$ | 0.6493 | 0.8027 | 0.8089 | [X:[], M:[1.1478, 1.0927, 0.9348, 0.8522, 0.6942, 1.0927], q:[0.7732, 0.3471], qb:[0.505, 0.5601], phi:[0.4536]] | t^2.08 + t^2.56 + t^2.8 + 2*t^3.28 + t^3.36 + t^3.44 + t^3.83 + t^4. + t^4.08 + t^4.17 + t^4.39 + t^4.56 + t^4.64 + t^4.72 + t^4.89 + t^5.11 + 2*t^5.36 + t^5.44 + t^5.61 + t^5.83 + 2*t^5.92 - 2*t^6. - t^4.36/y - t^4.36*y | detail |