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 |
|---|---|---|---|---|---|---|---|---|---|
| 46787 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ | 0.6525 | 0.8144 | 0.8012 | [X:[], M:[1.1532, 0.7165, 0.8468, 0.8211, 0.7945], q:[0.4106, 0.4363], qb:[0.873, 0.7426], phi:[0.3844]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [7, 9]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ M_5$, $ M_4$, $ M_3$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ q_2\tilde{q}_1$, $ M_2^2$, $ M_2\phi_1^2$, $ M_2M_5$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_3$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ M_5^2$, $ M_4M_5$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ M_4^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_5$, $ M_2\phi_1q_2^2$ | $\phi_1^3q_1q_2$ | -1 | t^2.15 + t^2.31 + t^2.38 + t^2.46 + t^2.54 + t^3.46 + t^3.69 + t^3.77 + t^3.93 + t^4.3 + t^4.46 + t^4.53 + 2*t^4.61 + 2*t^4.69 + 2*t^4.77 + 3*t^4.85 + t^4.92 + t^4.93 + t^5. + t^5.08 + t^5.61 + t^5.84 + t^5.92 - t^6. + 2*t^6.08 + t^6.15 + 2*t^6.23 + 2*t^6.31 + t^6.39 + t^6.45 + t^6.47 + t^6.61 + t^6.68 + 2*t^6.76 + 2*t^6.84 + 3*t^6.92 + 3*t^7. + 2*t^7.07 + t^7.08 + 3*t^7.15 + 4*t^7.23 + 2*t^7.31 + 2*t^7.39 + t^7.46 + t^7.47 + t^7.54 + t^7.62 + t^7.7 + t^7.76 + t^7.86 + t^7.99 + t^8.07 - 2*t^8.15 + t^8.23 + t^8.3 - 2*t^8.31 - t^8.38 - t^8.46 + t^8.6 + 3*t^8.62 + 2*t^8.69 + t^8.75 + 3*t^8.77 + t^8.83 + 3*t^8.85 + 2*t^8.91 + t^8.93 + 2*t^8.99 - t^4.15/y - t^6.3/y - t^6.46/y - t^6.54/y - t^6.62/y + t^7.46/y + t^7.53/y + t^7.61/y + (3*t^7.69)/y + (2*t^7.77)/y + (3*t^7.85)/y + t^7.92/y + (2*t^8.)/y - t^8.45/y - t^8.69/y - t^8.77/y + t^8.84/y - t^4.15*y - t^6.3*y - t^6.46*y - t^6.54*y - t^6.62*y + t^7.46*y + t^7.53*y + t^7.61*y + 3*t^7.69*y + 2*t^7.77*y + 3*t^7.85*y + t^7.92*y + 2*t^8.*y - t^8.45*y - t^8.69*y - t^8.77*y + t^8.84*y | g1^2*g2^4*t^2.15 + t^2.31/(g1^2*g2^2) + g1^7*g2^9*t^2.38 + t^2.46/(g1^6*g2^8) + g1^3*g2^3*t^2.54 + t^3.46/(g1^3*g2^3) + g1^2*g2^2*t^3.69 + g1^11*g2^13*t^3.77 + g1^7*g2^7*t^3.93 + g1^4*g2^8*t^4.3 + g2^2*t^4.46 + g1^9*g2^13*t^4.53 + (2*t^4.61)/(g1^4*g2^4) + 2*g1^5*g2^7*t^4.69 + t^4.77/(g1^8*g2^10) + g1^14*g2^18*t^4.77 + 3*g1*g2*t^4.85 + g1^10*g2^12*t^4.92 + t^4.93/(g1^12*g2^16) + t^5./(g1^3*g2^5) + g1^6*g2^6*t^5.08 + (g2*t^5.61)/g1 + g1^4*g2^6*t^5.84 + g1^13*g2^17*t^5.92 - t^6. + 2*g1^9*g2^11*t^6.08 + g1^18*g2^22*t^6.15 + 2*g1^5*g2^5*t^6.23 + 2*g1^14*g2^16*t^6.31 + (g1*t^6.39)/g2 + g1^6*g2^12*t^6.45 + g1^10*g2^10*t^6.47 + g1^2*g2^6*t^6.61 + g1^11*g2^17*t^6.68 + (2*t^6.76)/g1^2 + 2*g1^7*g2^11*t^6.84 + (2*t^6.92)/(g1^6*g2^6) + g1^16*g2^22*t^6.92 + 3*g1^3*g2^5*t^7. + 2*g1^12*g2^16*t^7.07 + t^7.08/(g1^10*g2^12) + (2*t^7.15)/(g1*g2) + g1^21*g2^27*t^7.15 + t^7.23/(g1^14*g2^18) + 3*g1^8*g2^10*t^7.23 + t^7.31/(g1^5*g2^7) + g1^17*g2^21*t^7.31 + t^7.39/(g1^18*g2^24) + g1^4*g2^4*t^7.39 + g1^13*g2^15*t^7.46 + t^7.47/(g1^9*g2^13) + g1^22*g2^26*t^7.54 + g1^9*g2^9*t^7.62 + g1^18*g2^20*t^7.7 + g1*g2^5*t^7.76 + g1^14*g2^14*t^7.86 + g1^6*g2^10*t^7.99 + g1^15*g2^21*t^8.07 - 2*g1^2*g2^4*t^8.15 - t^8.23/(g1^11*g2^13) + 2*g1^11*g2^15*t^8.23 + g1^20*g2^26*t^8.3 - (2*t^8.31)/(g1^2*g2^2) - g1^7*g2^9*t^8.38 - (4*t^8.46)/(g1^6*g2^8) + 3*g1^16*g2^20*t^8.46 - g1^3*g2^3*t^8.54 + g1^25*g2^31*t^8.54 + g1^8*g2^16*t^8.6 + 3*g1^12*g2^14*t^8.62 + 2*g1^21*g2^25*t^8.69 + g1^4*g2^10*t^8.75 + 3*g1^8*g2^8*t^8.77 + g1^13*g2^21*t^8.83 + t^8.85/(g1^5*g2^9) + 2*g1^17*g2^19*t^8.85 + 2*g2^4*t^8.91 + g1^4*g2^2*t^8.93 + 2*g1^9*g2^15*t^8.99 - t^4.15/(g1*g2*y) - (g1*g2^3*t^6.3)/y - t^6.46/(g1^3*g2^3*y) - (g1^6*g2^8*t^6.54)/y - t^6.62/(g1^7*g2^9*y) + (g2^2*t^7.46)/y + (g1^9*g2^13*t^7.53)/y + t^7.61/(g1^4*g2^4*y) + (3*g1^5*g2^7*t^7.69)/y + (2*t^7.77)/(g1^8*g2^10*y) + (3*g1*g2*t^7.85)/y + (g1^10*g2^12*t^7.92)/y + (2*t^8.)/(g1^3*g2^5*y) - (g1^3*g2^7*t^8.45)/y - (g1^8*g2^12*t^8.69)/y - t^8.77/(g1^5*g2^5*y) + (g1^4*g2^6*t^8.84)/y - (t^4.15*y)/(g1*g2) - g1*g2^3*t^6.3*y - (t^6.46*y)/(g1^3*g2^3) - g1^6*g2^8*t^6.54*y - (t^6.62*y)/(g1^7*g2^9) + g2^2*t^7.46*y + g1^9*g2^13*t^7.53*y + (t^7.61*y)/(g1^4*g2^4) + 3*g1^5*g2^7*t^7.69*y + (2*t^7.77*y)/(g1^8*g2^10) + 3*g1*g2*t^7.85*y + g1^10*g2^12*t^7.92*y + (2*t^8.*y)/(g1^3*g2^5) - g1^3*g2^7*t^8.45*y - g1^8*g2^12*t^8.69*y - (t^8.77*y)/(g1^5*g2^5) + g1^4*g2^6*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 46915 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_4X_1$ | 0.57 | 0.6947 | 0.8205 | [X:[1.4014], M:[1.1972, 0.9977, 0.8028, 0.5986, 1.0023], q:[0.2993, 0.5035], qb:[0.703, 0.8979], phi:[0.3991]] | t^2.39 + t^2.41 + t^2.99 + t^3.01 + t^3.59 + t^3.61 + t^3.62 + t^4.2 + t^4.22 + t^4.79 + 2*t^4.8 + t^4.82 + t^5.4 + t^5.42 + t^5.99 - t^4.2/y - t^4.2*y | detail | |
| 47268 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_2^2$ | 0.6006 | 0.757 | 0.7934 | [X:[], M:[1.2513, 1.0, 0.7487, 0.6685, 0.9144], q:[0.3342, 0.4144], qb:[0.6658, 0.9171], phi:[0.4171]] | t^2.01 + t^2.25 + t^2.5 + t^2.74 + t^3. + t^3.24 + t^3.5 + t^3.74 + t^3.75 + t^4.01 + t^4.25 + t^4.49 + t^4.51 + 3*t^4.75 + t^4.99 + 2*t^5.01 + 3*t^5.25 + 2*t^5.49 + t^5.5 + 3*t^5.74 + 2*t^5.98 - t^4.25/y - t^4.25*y | detail | |
| 48251 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ | 0.6708 | 0.8471 | 0.7919 | [X:[], M:[1.1466, 0.7084, 0.8534, 0.8203, 0.7975, 0.7644], q:[0.4101, 0.4433], qb:[0.8814, 0.7364], phi:[0.3822]] | t^2.13 + 2*t^2.29 + t^2.39 + t^2.46 + t^2.56 + t^3.44 + t^3.81 + t^3.97 + t^4.25 + 2*t^4.42 + t^4.52 + 4*t^4.59 + 3*t^4.69 + 2*t^4.75 + t^4.79 + 4*t^4.85 + t^4.92 + t^4.95 + t^5.02 + t^5.12 + t^5.57 + t^5.73 + t^5.93 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 46893 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ q_2\tilde{q}_1$ + $ M_2X_1$ + $ \phi_1^2X_2$ | 0.4674 | 0.5477 | 0.8533 | [X:[1.7143, 1.4286], M:[0.8571, 0.2857, 1.1429, 0.8571, 0.8571], q:[0.4286, 0.7143], qb:[1.2857, 0.4286], phi:[0.2857]] | 3*t^2.57 + t^3.43 + t^4.29 + 6*t^5.14 - t^6. - t^3.86/y - t^3.86*y | detail | {a: 2565/5488, c: 1503/2744, X1: 12/7, X2: 10/7, M1: 6/7, M2: 2/7, M3: 8/7, M4: 6/7, M5: 6/7, q1: 3/7, q2: 5/7, qb1: 9/7, qb2: 3/7, phi1: 2/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46225 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.6366 | 0.7855 | 0.8105 | [X:[], M:[1.1465, 0.7368, 0.8535, 0.7919], q:[0.396, 0.4575], qb:[0.8673, 0.7506], phi:[0.3822]] | t^2.21 + t^2.29 + t^2.38 + t^2.56 + t^3.44 + t^3.52 + t^3.71 + t^3.89 + t^3.97 + t^4.42 + t^4.5 + 2*t^4.59 + t^4.67 + t^4.75 + t^4.77 + 2*t^4.85 + t^4.94 + t^5.12 + t^5.65 + t^5.73 + t^5.82 + t^5.9 - t^6. - t^4.15/y - t^4.15*y | detail |