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 |
|---|---|---|---|---|---|---|---|---|---|
| 3457 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_1\tilde{q}_1$ | 0.6053 | 0.7788 | 0.7773 | [X:[], M:[0.85, 1.075, 1.0, 1.15, 0.7001, 1.075, 0.6875], q:[0.6188, 0.5312], qb:[0.2313, 0.7687], phi:[0.4625]] | [X:[], M:[[-8], [4], [0], [8], [-16], [4], [10]], q:[[-7], [15]], qb:[[-1], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_5$, $ q_2\tilde{q}_1$, $ M_1$, $ M_3$, $ M_2$, $ M_6$, $ M_4$, $ \phi_1q_2\tilde{q}_1$, $ M_7^2$, $ M_5M_7$, $ q_1\tilde{q}_2$, $ M_5^2$, $ M_7q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_1^2$, $ M_1M_7$, $ M_1M_5$, $ \phi_1q_1q_2$, $ M_3M_7$, $ M_1^2$, $ M_3M_5$, $ \phi_1q_1^2$, $ M_2M_7$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_5$, $ M_5M_6$, $ M_4M_7$, $ M_2q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_1M_3$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ M_1M_6$, $ M_5\phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2\tilde{q}_1^2$ | . | -2 | t^2.06 + t^2.1 + t^2.29 + t^2.55 + t^3. + 2*t^3.22 + t^3.45 + t^3.67 + t^4.12 + 2*t^4.16 + t^4.2 + t^4.35 + t^4.39 + 2*t^4.57 + t^4.61 + t^4.65 + t^4.84 + t^5.06 + 2*t^5.1 + 3*t^5.29 + 2*t^5.33 + 3*t^5.51 + 2*t^5.55 + t^5.74 + 2*t^5.78 + t^5.96 - 2*t^6. + t^6.19 + 3*t^6.22 + t^6.26 + t^6.3 + t^6.41 + 4*t^6.45 + 2*t^6.64 + 4*t^6.67 + t^6.71 + t^6.75 + 2*t^6.86 + 2*t^6.9 - t^6.94 + 2*t^7.12 + t^7.16 + 2*t^7.2 + 3*t^7.35 + 3*t^7.39 + 2*t^7.43 + 4*t^7.57 + 2*t^7.61 + 2*t^7.65 + 4*t^7.8 + 2*t^7.84 + t^7.88 + 2*t^8.02 - t^8.06 - 2*t^8.1 + 3*t^8.25 + 3*t^8.33 + t^8.36 + t^8.4 + t^8.47 + 4*t^8.51 + 2*t^8.7 + 7*t^8.74 + 3*t^8.78 + t^8.81 + t^8.85 + 2*t^8.92 + 3*t^8.96 - t^4.39/y - t^6.45/y - t^6.49/y + (2*t^7.16)/y + t^7.35/y + t^7.39/y + t^7.65/y + t^7.84/y + t^8.06/y + t^8.1/y + (4*t^8.29)/y + (3*t^8.33)/y + (2*t^8.51)/y + t^8.55/y - t^8.59/y + (2*t^8.74)/y + (3*t^8.78)/y + t^8.96/y - t^4.39*y - t^6.45*y - t^6.49*y + 2*t^7.16*y + t^7.35*y + t^7.39*y + t^7.65*y + t^7.84*y + t^8.06*y + t^8.1*y + 4*t^8.29*y + 3*t^8.33*y + 2*t^8.51*y + t^8.55*y - t^8.59*y + 2*t^8.74*y + 3*t^8.78*y + t^8.96*y | g1^10*t^2.06 + t^2.1/g1^16 + g1^14*t^2.29 + t^2.55/g1^8 + t^3. + 2*g1^4*t^3.22 + g1^8*t^3.45 + g1^12*t^3.67 + g1^20*t^4.12 + (2*t^4.16)/g1^6 + t^4.2/g1^32 + g1^24*t^4.35 + t^4.39/g1^2 + 2*g1^28*t^4.57 + g1^2*t^4.61 + t^4.65/g1^24 + g1^6*t^4.84 + g1^10*t^5.06 + (2*t^5.1)/g1^16 + 3*g1^14*t^5.29 + (2*t^5.33)/g1^12 + 3*g1^18*t^5.51 + (2*t^5.55)/g1^8 + g1^22*t^5.74 + (2*t^5.78)/g1^4 + g1^26*t^5.96 - 2*t^6. + g1^30*t^6.19 + 3*g1^4*t^6.22 + t^6.26/g1^22 + t^6.3/g1^48 + g1^34*t^6.41 + 4*g1^8*t^6.45 + 2*g1^38*t^6.64 + 4*g1^12*t^6.67 + t^6.71/g1^14 + t^6.75/g1^40 + 2*g1^42*t^6.86 + 2*g1^16*t^6.9 - t^6.94/g1^10 + 2*g1^20*t^7.12 + t^7.16/g1^6 + (2*t^7.2)/g1^32 + 3*g1^24*t^7.35 + (3*t^7.39)/g1^2 + (2*t^7.43)/g1^28 + 4*g1^28*t^7.57 + 2*g1^2*t^7.61 + (2*t^7.65)/g1^24 + 4*g1^32*t^7.8 + 2*g1^6*t^7.84 + t^7.88/g1^20 + 2*g1^36*t^8.02 - g1^10*t^8.06 - (2*t^8.1)/g1^16 + 3*g1^40*t^8.25 + (3*t^8.33)/g1^12 + t^8.36/g1^38 + t^8.4/g1^64 + g1^44*t^8.47 + 4*g1^18*t^8.51 + 2*g1^48*t^8.7 + 7*g1^22*t^8.74 + (3*t^8.78)/g1^4 + t^8.81/g1^30 + t^8.85/g1^56 + 2*g1^52*t^8.92 + 3*g1^26*t^8.96 - t^4.39/(g1^2*y) - (g1^8*t^6.45)/y - t^6.49/(g1^18*y) + (2*t^7.16)/(g1^6*y) + (g1^24*t^7.35)/y + t^7.39/(g1^2*y) + t^7.65/(g1^24*y) + (g1^6*t^7.84)/y + (g1^10*t^8.06)/y + t^8.1/(g1^16*y) + (4*g1^14*t^8.29)/y + (3*t^8.33)/(g1^12*y) + (2*g1^18*t^8.51)/y + t^8.55/(g1^8*y) - t^8.59/(g1^34*y) + (2*g1^22*t^8.74)/y + (3*t^8.78)/(g1^4*y) + (g1^26*t^8.96)/y - (t^4.39*y)/g1^2 - g1^8*t^6.45*y - (t^6.49*y)/g1^18 + (2*t^7.16*y)/g1^6 + g1^24*t^7.35*y + (t^7.39*y)/g1^2 + (t^7.65*y)/g1^24 + g1^6*t^7.84*y + g1^10*t^8.06*y + (t^8.1*y)/g1^16 + 4*g1^14*t^8.29*y + (3*t^8.33*y)/g1^12 + 2*g1^18*t^8.51*y + (t^8.55*y)/g1^8 - (t^8.59*y)/g1^34 + 2*g1^22*t^8.74*y + (3*t^8.78*y)/g1^4 + g1^26*t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 5143 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_4M_8$ | 0.6187 | 0.8013 | 0.7722 | [X:[], M:[0.8424, 1.0788, 1.0, 1.1576, 0.6848, 1.0788, 0.697, 0.8424], q:[0.6121, 0.5455], qb:[0.2303, 0.7697], phi:[0.4606]] | t^2.05 + t^2.09 + t^2.33 + 2*t^2.53 + t^3. + 2*t^3.24 + t^3.71 + t^4.11 + 2*t^4.15 + t^4.18 + t^4.38 + t^4.42 + 2*t^4.58 + 2*t^4.62 + 2*t^4.65 + 2*t^4.85 + 4*t^5.05 + t^5.09 + 2*t^5.29 + 3*t^5.33 + 2*t^5.53 + 2*t^5.56 + 4*t^5.76 - 3*t^6. - t^4.38/y - t^4.38*y | detail | |
| 5137 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5X_1$ | 0.58 | 0.7277 | 0.797 | [X:[1.3636], M:[0.8182, 1.0909, 1.0, 1.1818, 0.6364, 1.0909, 0.7273], q:[0.5909, 0.5909], qb:[0.2273, 0.7727], phi:[0.4545]] | t^2.18 + 2*t^2.45 + t^3. + 2*t^3.27 + t^3.55 + t^3.82 + 2*t^4.09 + t^4.36 + 2*t^4.64 + 4*t^4.91 + t^5.18 + 4*t^5.45 + 4*t^5.73 - 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 12351/21296, c: 15497/21296, X1: 15/11, M1: 9/11, M2: 12/11, M3: 1, M4: 13/11, M5: 7/11, M6: 12/11, M7: 8/11, q1: 13/22, q2: 13/22, qb1: 5/22, qb2: 17/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2888 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.5846 | 0.7385 | 0.7916 | [X:[], M:[0.8484, 1.0758, 1.0, 1.1516, 0.6968, 1.0758], q:[0.6174, 0.5342], qb:[0.2311, 0.7689], phi:[0.4621]] | t^2.09 + t^2.3 + t^2.55 + t^3. + 2*t^3.23 + t^3.45 + t^3.68 + t^3.93 + t^4.16 + t^4.18 + t^4.39 + 2*t^4.59 + t^4.64 + t^4.84 + 2*t^5.09 + t^5.3 + 2*t^5.32 + 2*t^5.52 + 2*t^5.55 + 2*t^5.77 + t^5.98 - 2*t^6. - t^4.39/y - t^4.39*y | detail |