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 |
|---|---|---|---|---|---|---|---|---|---|
| 1799 | 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_1^2$ + $ M_2M_3$ + $ \phi_1q_2^2$ | 0.599 | 0.7629 | 0.7852 | [X:[], M:[1.0, 0.8383, 1.1617, 0.6765], q:[0.2298, 0.7702], qb:[0.6085, 0.5533], phi:[0.4596]] | [X:[], M:[[0], [-8], [8], [-16]], q:[[-1], [1]], qb:[[-7], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \phi_1q_1^2$, $ M_1$, $ M_3$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_2M_4$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_4\phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1q_1^3\tilde{q}_2$, $ M_2\phi_1^2$, $ M_2\phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ \phi_1^3q_1^2$, $ \phi_1^2q_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_1\phi_1^2$, $ M_4\phi_1q_1\tilde{q}_2$, $ M_4\phi_1q_1\tilde{q}_1$ | . | -2 | t^2.03 + t^2.35 + t^2.51 + 2*t^2.76 + t^3. + t^3.49 + t^3.73 + t^3.89 + t^4.06 + t^4.14 + t^4.38 + t^4.54 + 2*t^4.7 + 2*t^4.79 + t^4.86 + 2*t^5.03 + 2*t^5.11 + 2*t^5.27 + t^5.35 + 5*t^5.51 + 2*t^5.76 + t^5.92 - 2*t^6. + t^6.08 + t^6.09 + 2*t^6.24 + t^6.41 + 2*t^6.49 + t^6.57 + 2*t^6.65 + t^6.73 + 2*t^6.82 + 2*t^6.89 - t^6.97 + 2*t^7.05 + 2*t^7.06 + t^7.14 + t^7.21 + 2*t^7.3 + 4*t^7.46 + 5*t^7.54 + t^7.62 + t^7.7 + 4*t^7.79 + 3*t^7.86 - t^7.94 + t^7.95 + 2*t^8.03 + t^8.11 + t^8.12 + t^8.18 + 7*t^8.27 - 3*t^8.35 + 2*t^8.43 + t^8.44 + t^8.6 + 2*t^8.68 - 5*t^8.76 + 2*t^8.83 + 2*t^8.85 + t^8.92 - t^4.38/y - t^6.41/y - t^7.14/y + t^7.38/y + t^7.54/y + t^7.62/y + (2*t^7.79)/y + t^7.86/y + t^8.03/y + (2*t^8.11)/y + (2*t^8.27)/y + (2*t^8.35)/y - t^8.44/y + (3*t^8.51)/y + (3*t^8.76)/y + t^8.83/y + t^8.92/y - t^4.38*y - t^6.41*y - t^7.14*y + t^7.38*y + t^7.54*y + t^7.62*y + 2*t^7.79*y + t^7.86*y + t^8.03*y + 2*t^8.11*y + 2*t^8.27*y + 2*t^8.35*y - t^8.44*y + 3*t^8.51*y + 3*t^8.76*y + t^8.83*y + t^8.92*y | t^2.03/g1^16 + g1^14*t^2.35 + t^2.51/g1^8 + (2*t^2.76)/g1^4 + t^3. + g1^8*t^3.49 + g1^12*t^3.73 + t^3.89/g1^10 + t^4.06/g1^32 + t^4.14/g1^6 + t^4.38/g1^2 + t^4.54/g1^24 + 2*g1^28*t^4.7 + (2*t^4.79)/g1^20 + g1^6*t^4.86 + (2*t^5.03)/g1^16 + 2*g1^10*t^5.11 + (2*t^5.27)/g1^12 + g1^14*t^5.35 + (5*t^5.51)/g1^8 + (2*t^5.76)/g1^4 + t^5.92/g1^26 - 2*t^6. + g1^26*t^6.08 + t^6.09/g1^48 + 2*g1^4*t^6.24 + t^6.41/g1^18 + 2*g1^8*t^6.49 + t^6.57/g1^40 + (2*t^6.65)/g1^14 + g1^12*t^6.73 + (2*t^6.82)/g1^36 + (2*t^6.89)/g1^10 - g1^16*t^6.97 + 2*g1^42*t^7.05 + (2*t^7.06)/g1^32 + t^7.14/g1^6 + g1^20*t^7.21 + (2*t^7.3)/g1^28 + 4*g1^24*t^7.46 + (5*t^7.54)/g1^24 + g1^2*t^7.62 + g1^28*t^7.7 + (4*t^7.79)/g1^20 + 3*g1^6*t^7.86 - g1^32*t^7.94 + t^7.95/g1^42 + (2*t^8.03)/g1^16 + g1^10*t^8.11 + t^8.12/g1^64 + g1^36*t^8.18 + (7*t^8.27)/g1^12 - 3*g1^14*t^8.35 + 2*g1^40*t^8.43 + t^8.44/g1^34 + t^8.6/g1^56 + (2*t^8.68)/g1^30 - (5*t^8.76)/g1^4 + 2*g1^22*t^8.83 + (2*t^8.85)/g1^52 + t^8.92/g1^26 - t^4.38/(g1^2*y) - t^6.41/(g1^18*y) - t^7.14/(g1^6*y) + t^7.38/(g1^2*y) + t^7.54/(g1^24*y) + (g1^2*t^7.62)/y + (2*t^7.79)/(g1^20*y) + (g1^6*t^7.86)/y + t^8.03/(g1^16*y) + (2*g1^10*t^8.11)/y + (2*t^8.27)/(g1^12*y) + (2*g1^14*t^8.35)/y - t^8.44/(g1^34*y) + (3*t^8.51)/(g1^8*y) + (3*t^8.76)/(g1^4*y) + (g1^22*t^8.83)/y + t^8.92/(g1^26*y) - (t^4.38*y)/g1^2 - (t^6.41*y)/g1^18 - (t^7.14*y)/g1^6 + (t^7.38*y)/g1^2 + (t^7.54*y)/g1^24 + g1^2*t^7.62*y + (2*t^7.79*y)/g1^20 + g1^6*t^7.86*y + (t^8.03*y)/g1^16 + 2*g1^10*t^8.11*y + (2*t^8.27*y)/g1^12 + 2*g1^14*t^8.35*y - (t^8.44*y)/g1^34 + (3*t^8.51*y)/g1^8 + (3*t^8.76*y)/g1^4 + g1^22*t^8.83*y + (t^8.92*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2813 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1\tilde{q}_1$ | 0.5988 | 0.7622 | 0.7855 | [X:[], M:[1.0, 0.8462, 1.1538, 0.6923], q:[0.2308, 0.7692], qb:[0.6154, 0.5385], phi:[0.4615]] | t^2.08 + t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + t^3.69 + t^3.92 + 2*t^4.15 + t^4.38 + 3*t^4.62 + 3*t^4.85 + 4*t^5.08 + 3*t^5.31 + 5*t^5.54 + 2*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 2631/4394, c: 13397/17576, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, q1: 3/13, q2: 10/13, qb1: 8/13, qb2: 7/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 363 | 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_1^2$ + $ M_2M_3$ | 0.7027 | 0.862 | 0.8151 | [X:[], M:[1.0, 0.9335, 1.0665, 0.867], q:[0.4519, 0.5481], qb:[0.4817, 0.5848], phi:[0.4834]] | t^2.6 + t^2.8 + t^2.9 + t^3. + t^3.09 + t^3.11 + t^3.2 + t^4.16 + t^4.25 + t^4.34 + t^4.45 + t^4.54 + t^4.56 + t^4.65 + t^4.74 + t^4.85 + t^4.96 + t^5.2 + t^5.4 + t^5.5 + t^5.6 + t^5.7 + 2*t^5.8 + t^5.9 + t^5.99 - 2*t^6. - t^4.45/y - t^4.45*y | detail |