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 |
|---|---|---|---|---|---|---|---|---|---|
| 2239 | 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_5q_1q_2$ + $ M_6q_1\tilde{q}_1$ + $ M_1M_7$ | 0.681 | 0.8552 | 0.7962 | [X:[], M:[1.1519, 1.0907, 0.9399, 0.8481, 0.8787, 0.7279, 0.8481], q:[0.7727, 0.3486], qb:[0.4994, 0.5607], phi:[0.4546]] | [X:[], M:[[8], [-4], [10], [-8], [-2], [12], [-8]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_7$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_6M_7$, $ \phi_1\tilde{q}_2^2$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_3M_6$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_4M_5$, $ M_5M_7$, $ M_5^2$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ M_3M_4$, $ M_3M_7$, $ M_5\phi_1^2$, $ M_3M_5$, $ M_2M_6$, $ \phi_1^4$, $ M_3^2$, $ M_2M_4$, $ M_2M_7$, $ M_2M_5$ | . | -2 | t^2.18 + 2*t^2.54 + t^2.64 + t^2.73 + t^2.82 + t^3.27 + t^3.91 + t^4. + t^4.09 + t^4.36 + t^4.37 + t^4.54 + 3*t^4.73 + t^4.82 + t^4.91 + t^5. + 3*t^5.09 + 2*t^5.18 + 3*t^5.27 + 2*t^5.36 + 3*t^5.46 + t^5.64 + t^5.82 + t^5.91 - 2*t^6. + t^6.09 + t^6.28 + t^6.45 + 3*t^6.54 + t^6.55 + t^6.64 + t^6.73 + t^6.82 + 2*t^6.9 + 3*t^6.91 + 2*t^7. + 2*t^7.09 + t^7.1 + t^7.18 + t^7.19 + 4*t^7.27 + 2*t^7.36 + 3*t^7.46 + 2*t^7.55 + 4*t^7.63 + 3*t^7.64 + 2*t^7.72 + 5*t^7.82 + 3*t^7.91 + 4*t^8. + 2*t^8.09 + t^8.27 + 2*t^8.28 + t^8.36 + t^8.45 + 2*t^8.46 - 4*t^8.54 - 2*t^8.64 + t^8.72 + t^8.73 - 2*t^8.82 + t^8.9 - t^4.36/y - t^6.55/y - t^6.91/y - t^7./y - t^7.18/y + t^7.54/y + (3*t^7.73)/y + (2*t^7.82)/y + t^7.91/y + t^8./y + t^8.09/y + (3*t^8.18)/y + (2*t^8.27)/y + (3*t^8.36)/y + (2*t^8.46)/y + t^8.55/y - t^8.73/y + (2*t^8.82)/y + t^8.91/y - t^4.36*y - t^6.55*y - t^6.91*y - t^7.*y - t^7.18*y + t^7.54*y + 3*t^7.73*y + 2*t^7.82*y + t^7.91*y + t^8.*y + t^8.09*y + 3*t^8.18*y + 2*t^8.27*y + 3*t^8.36*y + 2*t^8.46*y + t^8.55*y - t^8.73*y + 2*t^8.82*y + t^8.91*y | g1^12*t^2.18 + (2*t^2.54)/g1^8 + t^2.64/g1^2 + g1^4*t^2.73 + g1^10*t^2.82 + t^3.27/g1^4 + t^3.91/g1^6 + t^4. + g1^6*t^4.09 + t^4.36/g1^20 + g1^24*t^4.37 + t^4.54/g1^8 + 3*g1^4*t^4.73 + g1^10*t^4.82 + g1^16*t^4.91 + g1^22*t^5. + (3*t^5.09)/g1^16 + (2*t^5.18)/g1^10 + (3*t^5.27)/g1^4 + 2*g1^2*t^5.36 + 3*g1^8*t^5.46 + g1^20*t^5.64 + t^5.82/g1^12 + t^5.91/g1^6 - 2*t^6. + g1^6*t^6.09 + g1^18*t^6.28 + t^6.45/g1^14 + (3*t^6.54)/g1^8 + g1^36*t^6.55 + t^6.64/g1^2 + g1^4*t^6.73 + g1^10*t^6.82 + (2*t^6.9)/g1^28 + 3*g1^16*t^6.91 + t^7./g1^22 + g1^22*t^7. + (2*t^7.09)/g1^16 + g1^28*t^7.1 + t^7.18/g1^10 + g1^34*t^7.19 + (4*t^7.27)/g1^4 + 2*g1^2*t^7.36 + 3*g1^8*t^7.46 + 2*g1^14*t^7.55 + (4*t^7.63)/g1^24 + 3*g1^20*t^7.64 + (2*t^7.72)/g1^18 + (4*t^7.82)/g1^12 + g1^32*t^7.82 + (3*t^7.91)/g1^6 + 4*t^8. + 2*g1^6*t^8.09 + t^8.27/g1^26 + 2*g1^18*t^8.28 + t^8.36/g1^20 + t^8.45/g1^14 + 2*g1^30*t^8.46 - (4*t^8.54)/g1^8 - (2*t^8.64)/g1^2 + t^8.72/g1^40 + g1^48*t^8.73 - 2*g1^10*t^8.82 + t^8.9/g1^28 - (g1^2*t^4.36)/y - (g1^14*t^6.55)/y - t^6.91/(g1^6*y) - t^7./y - (g1^12*t^7.18)/y + t^7.54/(g1^8*y) + (3*g1^4*t^7.73)/y + (2*g1^10*t^7.82)/y + (g1^16*t^7.91)/y + (g1^22*t^8.)/y + t^8.09/(g1^16*y) + (3*t^8.18)/(g1^10*y) + (2*t^8.27)/(g1^4*y) + (3*g1^2*t^8.36)/y + (2*g1^8*t^8.46)/y + (g1^14*t^8.55)/y - (g1^26*t^8.73)/y + (2*t^8.82)/(g1^12*y) + t^8.91/(g1^6*y) - g1^2*t^4.36*y - g1^14*t^6.55*y - (t^6.91*y)/g1^6 - t^7.*y - g1^12*t^7.18*y + (t^7.54*y)/g1^8 + 3*g1^4*t^7.73*y + 2*g1^10*t^7.82*y + g1^16*t^7.91*y + g1^22*t^8.*y + (t^8.09*y)/g1^16 + (3*t^8.18*y)/g1^10 + (2*t^8.27*y)/g1^4 + 3*g1^2*t^8.36*y + 2*g1^8*t^8.46*y + g1^14*t^8.55*y - g1^26*t^8.73*y + (2*t^8.82*y)/g1^12 + (t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 4235 | $\phi_1q_1^2$ + $ 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_5q_1q_2$ + $ M_6q_1\tilde{q}_1$ + $ M_1M_7$ + $ M_3M_6$ | 0.6431 | 0.8192 | 0.785 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.8485, 0.9091, 0.7273], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | 2*t^2.18 + t^2.55 + t^2.73 + t^2.91 + t^3.09 + t^3.27 + t^3.45 + t^3.64 + t^4. + t^4.18 + 4*t^4.36 + 2*t^4.73 + 3*t^4.91 + 3*t^5.09 + 2*t^5.27 + 3*t^5.45 + 4*t^5.64 + 4*t^5.82 - t^4.45/y - t^4.45*y | detail | {a: 1245/1936, c: 793/968, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 28/33, M6: 10/11, M7: 8/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1169 | 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_5q_1q_2$ + $ M_6q_1\tilde{q}_1$ | 0.6683 | 0.8337 | 0.8015 | [X:[], M:[1.1367, 1.0983, 0.9209, 0.8633, 0.8825, 0.7051], q:[0.7746, 0.3429], qb:[0.5204, 0.5588], phi:[0.4508]] | t^2.12 + t^2.59 + t^2.65 + t^2.71 + t^2.76 + t^3.29 + t^3.41 + t^3.94 + t^4. + t^4.06 + t^4.23 + t^4.47 + t^4.59 + 2*t^4.71 + t^4.76 + t^4.82 + t^4.88 + t^5.18 + t^5.24 + 2*t^5.29 + t^5.35 + 3*t^5.41 + 2*t^5.53 + t^5.94 - t^6. - t^4.35/y - t^4.35*y | detail |