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 |
|---|---|---|---|---|---|---|---|---|---|
| 220 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ | 0.6709 | 0.8239 | 0.8143 | [X:[], M:[0.6905, 1.1032], q:[0.7758, 0.5338], qb:[0.4662, 0.4306], phi:[0.4484]] | [X:[], M:[[-12], [4]], q:[[1], [11]], qb:[[-11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$ | $M_1\phi_1\tilde{q}_2^2$ | 0 | t^2.07 + t^2.69 + t^2.89 + t^3. + t^3.31 + t^3.62 + t^3.73 + t^3.93 + t^4.04 + 2*t^4.14 + t^4.24 + t^4.35 + t^4.55 + t^4.76 + t^4.96 + t^5.07 + 2*t^5.38 + t^5.58 + t^5.69 + t^5.79 + 2*t^6.21 + t^6.31 + t^6.42 + t^6.51 + 3*t^6.62 + t^6.73 + t^6.82 + 2*t^6.83 + 2*t^6.93 + 2*t^7.04 + t^7.13 + t^7.14 + 2*t^7.24 + t^7.44 + 2*t^7.45 + t^7.55 + t^7.65 + 2*t^7.76 + 2*t^7.86 + t^7.87 + t^7.96 + 2*t^8.07 + t^8.17 + t^8.18 + t^8.27 + 3*t^8.29 + t^8.38 + 2*t^8.48 + t^8.49 + t^8.68 + t^8.69 + t^8.79 - t^8.89 + 2*t^8.9 - t^4.35/y - t^6.42/y + t^7.76/y + t^7.96/y + t^8.07/y + t^8.27/y + t^8.38/y - t^8.49/y + t^8.58/y + (2*t^8.69)/y + t^8.8/y + t^8.89/y - t^4.35*y - t^6.42*y + t^7.76*y + t^7.96*y + t^8.07*y + t^8.27*y + t^8.38*y - t^8.49*y + t^8.58*y + 2*t^8.69*y + t^8.8*y + t^8.89*y | t^2.07/g1^12 + t^2.69/g1^4 + g1^18*t^2.89 + t^3. + g1^4*t^3.31 + g1^8*t^3.62 + t^3.73/g1^10 + g1^12*t^3.93 + t^4.04/g1^6 + (2*t^4.14)/g1^24 + g1^16*t^4.24 + t^4.35/g1^2 + g1^20*t^4.55 + t^4.76/g1^16 + g1^6*t^4.96 + t^5.07/g1^12 + (2*t^5.38)/g1^8 + g1^14*t^5.58 + t^5.69/g1^4 + g1^36*t^5.79 + (2*t^6.21)/g1^36 + g1^4*t^6.31 + t^6.42/g1^14 + g1^26*t^6.51 + 3*g1^8*t^6.62 + t^6.73/g1^10 + g1^30*t^6.82 + (2*t^6.83)/g1^28 + 2*g1^12*t^6.93 + (2*t^7.04)/g1^6 + g1^34*t^7.13 + t^7.14/g1^24 + 2*g1^16*t^7.24 + g1^38*t^7.44 + (2*t^7.45)/g1^20 + g1^20*t^7.55 + g1^2*t^7.65 + (2*t^7.76)/g1^16 + 2*g1^24*t^7.86 + t^7.87/g1^34 + g1^6*t^7.96 + (2*t^8.07)/g1^12 + g1^28*t^8.17 + t^8.18/g1^30 + g1^10*t^8.27 + (3*t^8.29)/g1^48 + t^8.38/g1^8 + 2*g1^32*t^8.48 + t^8.49/g1^26 + g1^54*t^8.68 + t^8.69/g1^4 + g1^36*t^8.79 - g1^18*t^8.89 + (2*t^8.9)/g1^40 - t^4.35/(g1^2*y) - t^6.42/(g1^14*y) + t^7.76/(g1^16*y) + (g1^6*t^7.96)/y + t^8.07/(g1^12*y) + (g1^10*t^8.27)/y + t^8.38/(g1^8*y) - t^8.49/(g1^26*y) + (g1^14*t^8.58)/y + (2*t^8.69)/(g1^4*y) + t^8.8/(g1^22*y) + (g1^18*t^8.89)/y - (t^4.35*y)/g1^2 - (t^6.42*y)/g1^14 + (t^7.76*y)/g1^16 + g1^6*t^7.96*y + (t^8.07*y)/g1^12 + g1^10*t^8.27*y + (t^8.38*y)/g1^8 - (t^8.49*y)/g1^26 + g1^14*t^8.58*y + (2*t^8.69*y)/g1^4 + (t^8.8*y)/g1^22 + g1^18*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 352 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_2M_3$ | 0.6804 | 0.8399 | 0.81 | [X:[], M:[0.6836, 1.1055, 0.8945], q:[0.7764, 0.5401], qb:[0.4599, 0.4346], phi:[0.4473]] | t^2.05 + 2*t^2.68 + t^2.92 + t^3. + t^3.63 + t^3.71 + t^3.95 + t^4.03 + 2*t^4.1 + t^4.27 + t^4.34 + t^4.58 + 2*t^4.73 + t^4.97 + t^5.05 + 3*t^5.37 + 2*t^5.61 + 2*t^5.68 + t^5.85 - t^6. - t^4.34/y - t^4.34*y | detail | |
| 353 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.6916 | 0.8641 | 0.8004 | [X:[], M:[0.6876, 1.1041, 0.6876], q:[0.776, 0.5363], qb:[0.4637, 0.4322], phi:[0.4479]] | 2*t^2.06 + t^2.69 + t^2.91 + t^3. + t^3.31 + t^3.62 + t^3.72 + t^4.03 + 4*t^4.13 + t^4.25 + t^4.34 + t^4.56 + 2*t^4.75 + 2*t^4.97 + 2*t^5.06 + 3*t^5.38 + t^5.59 + 2*t^5.69 + t^5.78 + t^5.81 - t^6. - t^4.34/y - t^4.34*y | detail | |
| 350 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1^2$ | 0.6616 | 0.8084 | 0.8184 | [X:[], M:[0.6974, 1.1009, 1.1009], q:[0.7752, 0.5274], qb:[0.4726, 0.4265], phi:[0.4496]] | t^2.09 + t^2.86 + t^3. + 2*t^3.3 + t^3.61 + t^3.74 + t^3.91 + t^4.05 + 2*t^4.18 + t^4.21 + t^4.35 + t^4.51 + t^4.95 + t^5.09 + 2*t^5.39 + t^5.72 - t^6. - t^4.35/y - t^4.35*y | detail | |
| 1738 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ | 0.688 | 0.8542 | 0.8054 | [X:[], M:[0.6814, 1.1062, 0.7876], q:[0.7766, 0.5421], qb:[0.4579, 0.4359], phi:[0.4469]] | t^2.04 + t^2.36 + t^2.68 + t^2.93 + t^3. + t^3.32 + t^3.7 + t^3.96 + t^4.02 + 2*t^4.09 + t^4.27 + t^4.34 + t^4.41 + t^4.59 + 2*t^4.73 + t^4.98 + 2*t^5.04 + t^5.3 + 3*t^5.36 + t^5.62 + t^5.68 + t^5.87 - t^4.34/y - t^4.34*y | detail | |
| 377 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ q_2^2\tilde{q}_2^2$ + $ M_1X_1$ | 0.6489 | 0.7809 | 0.831 | [X:[1.3333], M:[0.6667, 1.1111], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | t^2.67 + 2*t^3. + t^3.33 + 2*t^3.67 + 4*t^4. + 2*t^4.33 + t^4.67 + t^5.33 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 841/1296, c: 253/324, X1: 4/3, M1: 2/3, M2: 10/9, q1: 7/9, q2: 5/9, qb1: 4/9, qb2: 4/9, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 132 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ | 0.6721 | 0.8254 | 0.8143 | [X:[], M:[0.715, 1.095], q:[0.7738, 0.5113], qb:[0.4525, 0.4525], phi:[0.4525]] | t^2.14 + t^2.71 + 2*t^2.89 + t^3.29 + 2*t^3.68 + 3*t^4.07 + 2*t^4.25 + t^4.29 + t^4.43 + t^4.86 + 2*t^5.04 + 2*t^5.43 + 2*t^5.61 + 3*t^5.78 - 4*t^6. - t^4.36/y - t^4.36*y | detail |