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 |
|---|---|---|---|---|---|---|---|---|---|
| 3338 | 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_1\tilde{q}_2^2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.7071 | 0.9046 | 0.7817 | [X:[], M:[1.0, 0.8398, 1.1602, 0.6797, 0.7598, 0.7002], q:[0.4497, 0.5503], qb:[0.3901, 0.77], phi:[0.46]] | [X:[], M:[[0], [-8], [8], [-16], [-12], [10]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_5$, $ M_2$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_1$, $ M_3$, $ q_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_1^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_2M_4$, $ M_5^2$, $ M_2M_6$, $ \phi_1q_2^2$, $ M_2M_5$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ M_2^2$, $ M_1M_4$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_6$, $ M_5q_2\tilde{q}_1$, $ M_1M_5$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_3M_6$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3M_5$, $ M_1\phi_1^2$, $ M_6q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$ | . | -1 | t^2.04 + t^2.1 + t^2.28 + t^2.52 + t^2.76 + t^2.82 + t^3. + t^3.48 + t^3.66 + 2*t^4.08 + t^4.14 + 2*t^4.2 + t^4.32 + 2*t^4.38 + 2*t^4.56 + t^4.62 + t^4.68 + 2*t^4.8 + 2*t^4.86 + t^4.92 + 3*t^5.04 + 2*t^5.1 + 2*t^5.28 + t^5.34 + 2*t^5.52 + 2*t^5.58 + t^5.64 + 3*t^5.76 + t^5.94 - t^6. + 2*t^6.12 + 2*t^6.18 + 2*t^6.24 + 2*t^6.3 + 2*t^6.36 + 2*t^6.42 + 3*t^6.48 + 3*t^6.6 + 3*t^6.66 + t^6.72 + t^6.78 + 4*t^6.84 + 3*t^6.9 + 3*t^6.96 + 2*t^7.02 + 4*t^7.08 + 4*t^7.14 + 3*t^7.2 + 4*t^7.32 + 2*t^7.38 + t^7.44 + t^7.5 + 4*t^7.56 + 3*t^7.62 + 3*t^7.68 + 2*t^7.74 + 3*t^7.8 + 4*t^7.86 + 3*t^8.04 - 2*t^8.1 + 4*t^8.16 + 2*t^8.22 + 2*t^8.28 + 2*t^8.34 + 5*t^8.4 + 4*t^8.46 + t^8.52 + 2*t^8.58 + 4*t^8.64 + 4*t^8.7 + 3*t^8.76 - 2*t^8.82 + 7*t^8.88 + 5*t^8.94 - t^4.38/y - t^6.42/y - t^6.48/y - t^6.66/y + t^7.32/y + t^7.38/y + t^7.56/y + (2*t^7.62)/y + (2*t^7.8)/y + (2*t^7.86)/y + t^7.92/y + (2*t^8.04)/y + (3*t^8.1)/y + (3*t^8.28)/y + (2*t^8.34)/y - t^8.46/y + t^8.52/y + t^8.58/y + (2*t^8.76)/y + t^8.82/y - t^4.38*y - t^6.42*y - t^6.48*y - t^6.66*y + t^7.32*y + t^7.38*y + t^7.56*y + 2*t^7.62*y + 2*t^7.8*y + 2*t^7.86*y + t^7.92*y + 2*t^8.04*y + 3*t^8.1*y + 3*t^8.28*y + 2*t^8.34*y - t^8.46*y + t^8.52*y + t^8.58*y + 2*t^8.76*y + t^8.82*y | t^2.04/g1^16 + g1^10*t^2.1 + t^2.28/g1^12 + t^2.52/g1^8 + t^2.76/g1^4 + g1^22*t^2.82 + t^3. + g1^8*t^3.48 + t^3.66/g1^14 + (2*t^4.08)/g1^32 + t^4.14/g1^6 + 2*g1^20*t^4.2 + t^4.32/g1^28 + (2*t^4.38)/g1^2 + (2*t^4.56)/g1^24 + g1^2*t^4.62 + g1^28*t^4.68 + (2*t^4.8)/g1^20 + 2*g1^6*t^4.86 + g1^32*t^4.92 + (3*t^5.04)/g1^16 + 2*g1^10*t^5.1 + (2*t^5.28)/g1^12 + g1^14*t^5.34 + (2*t^5.52)/g1^8 + 2*g1^18*t^5.58 + g1^44*t^5.64 + (3*t^5.76)/g1^4 + t^5.94/g1^26 - t^6. + (2*t^6.12)/g1^48 + (2*t^6.18)/g1^22 + 2*g1^4*t^6.24 + 2*g1^30*t^6.3 + (2*t^6.36)/g1^44 + (2*t^6.42)/g1^18 + 3*g1^8*t^6.48 + (3*t^6.6)/g1^40 + (3*t^6.66)/g1^14 + g1^12*t^6.72 + g1^38*t^6.78 + (4*t^6.84)/g1^36 + (3*t^6.9)/g1^10 + 3*g1^16*t^6.96 + 2*g1^42*t^7.02 + (4*t^7.08)/g1^32 + (4*t^7.14)/g1^6 + 3*g1^20*t^7.2 + (4*t^7.32)/g1^28 + (2*t^7.38)/g1^2 + g1^24*t^7.44 + g1^50*t^7.5 + (4*t^7.56)/g1^24 + 3*g1^2*t^7.62 + 3*g1^28*t^7.68 + t^7.74/g1^46 + g1^54*t^7.74 + (3*t^7.8)/g1^20 + 4*g1^6*t^7.86 + (3*t^8.04)/g1^16 - 2*g1^10*t^8.1 + (3*t^8.16)/g1^64 + g1^36*t^8.16 + (2*t^8.22)/g1^38 + (2*t^8.28)/g1^12 + 2*g1^14*t^8.34 + (2*t^8.4)/g1^60 + 3*g1^40*t^8.4 + (3*t^8.46)/g1^34 + g1^66*t^8.46 + t^8.52/g1^8 + 2*g1^18*t^8.58 + (4*t^8.64)/g1^56 + (4*t^8.7)/g1^30 + (3*t^8.76)/g1^4 - 2*g1^22*t^8.82 + (5*t^8.88)/g1^52 + 2*g1^48*t^8.88 + (5*t^8.94)/g1^26 - t^4.38/(g1^2*y) - t^6.42/(g1^18*y) - (g1^8*t^6.48)/y - t^6.66/(g1^14*y) + t^7.32/(g1^28*y) + t^7.38/(g1^2*y) + t^7.56/(g1^24*y) + (2*g1^2*t^7.62)/y + (2*t^7.8)/(g1^20*y) + (2*g1^6*t^7.86)/y + (g1^32*t^7.92)/y + (2*t^8.04)/(g1^16*y) + (3*g1^10*t^8.1)/y + (3*t^8.28)/(g1^12*y) + (2*g1^14*t^8.34)/y - t^8.46/(g1^34*y) + t^8.52/(g1^8*y) + (g1^18*t^8.58)/y + (2*t^8.76)/(g1^4*y) + (g1^22*t^8.82)/y - (t^4.38*y)/g1^2 - (t^6.42*y)/g1^18 - g1^8*t^6.48*y - (t^6.66*y)/g1^14 + (t^7.32*y)/g1^28 + (t^7.38*y)/g1^2 + (t^7.56*y)/g1^24 + 2*g1^2*t^7.62*y + (2*t^7.8*y)/g1^20 + 2*g1^6*t^7.86*y + g1^32*t^7.92*y + (2*t^8.04*y)/g1^16 + 3*g1^10*t^8.1*y + (3*t^8.28*y)/g1^12 + 2*g1^14*t^8.34*y - (t^8.46*y)/g1^34 + (t^8.52*y)/g1^8 + g1^18*t^8.58*y + (2*t^8.76*y)/g1^4 + g1^22*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 3784 | $M_1q_1q_2$ + $ 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_1\tilde{q}_2^2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.7067 | 0.9038 | 0.7819 | [X:[], M:[1.0, 0.8462, 1.1538, 0.6923, 0.7692, 0.6923], q:[0.4615, 0.5385], qb:[0.3846, 0.7692], phi:[0.4615]] | 2*t^2.08 + t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + t^3.69 + 5*t^4.15 + 3*t^4.38 + 4*t^4.62 + 5*t^4.85 + 5*t^5.08 + 3*t^5.31 + 5*t^5.54 + 3*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 147/208, c: 47/52, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 10/13, M6: 9/13, q1: 6/13, q2: 7/13, qb1: 5/13, qb2: 10/13, phi1: 6/13} |
| 3779 | $M_1q_1q_2$ + $ 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_1\tilde{q}_2^2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ q_2^2\tilde{q}_1^2$ + $ M_4X_1$ | 0.6824 | 0.8585 | 0.7948 | [X:[1.3636], M:[1.0, 0.8182, 1.1818, 0.6364, 0.7273, 0.7273], q:[0.4091, 0.5909], qb:[0.4091, 0.7727], phi:[0.4545]] | 2*t^2.18 + t^2.45 + t^2.73 + 2*t^3. + 2*t^3.55 + t^3.82 + t^4.09 + 5*t^4.36 + 2*t^4.64 + 4*t^4.91 + 5*t^5.18 + t^5.45 + 6*t^5.73 + 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 3633/5324, c: 18283/21296, X1: 15/11, M1: 1, M2: 9/11, M3: 13/11, M4: 7/11, M5: 8/11, M6: 8/11, q1: 9/22, q2: 13/22, qb1: 9/22, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2811 | 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_1\tilde{q}_2^2$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6866 | 0.8655 | 0.7932 | [X:[], M:[1.0, 0.8385, 1.1615, 0.677, 0.7578], q:[0.4472, 0.5528], qb:[0.3913, 0.7702], phi:[0.4596]] | t^2.03 + t^2.27 + t^2.52 + t^2.76 + t^2.83 + t^3. + t^3.48 + t^3.65 + t^3.89 + 2*t^4.06 + t^4.21 + t^4.3 + t^4.38 + 2*t^4.55 + t^4.7 + 2*t^4.79 + t^4.86 + 3*t^5.03 + t^5.11 + 2*t^5.27 + t^5.35 + 2*t^5.52 + t^5.59 + t^5.66 + 2*t^5.76 + 2*t^5.93 - t^6. - t^4.38/y - t^4.38*y | detail |