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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8]], 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_4$, $ M_3$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ q_2\tilde{q}_1$, $ M_2^2$, $ M_2\phi_1^2$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_4^2$, $ M_2M_3$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_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_1\phi_1^2$, $ M_1M_4$, $ \phi_1^3q_1^2$, $ M_4\phi_1q_1^2$ | $\phi_1^3q_1q_2$ | -1 | 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^6.08 + t^6.1 + t^6.18 + 2*t^6.27 + t^6.35 + t^6.45 + t^6.53 + t^6.63 + t^6.71 + 2*t^6.8 + 2*t^6.88 + 2*t^6.96 + t^6.98 + 2*t^7.04 + t^7.06 + t^7.13 + t^7.15 + t^7.23 + t^7.31 + t^7.41 + t^7.5 + t^7.68 + t^7.78 + t^7.86 + t^7.87 + t^7.94 + t^7.95 + t^8.03 + t^8.11 + t^8.19 - 2*t^8.21 + t^8.27 - t^8.29 + t^8.31 - 2*t^8.38 + t^8.4 + t^8.46 - t^8.56 + t^8.64 + t^8.66 + t^8.73 + t^8.75 + 2*t^8.83 + t^8.84 + t^8.91 + t^8.92 - t^4.15/y - t^6.36/y - t^6.44/y - t^6.52/y + t^7.5/y + t^7.59/y + t^7.67/y + (2*t^7.77)/y + (2*t^7.85)/y + (2*t^7.94)/y - t^8.57/y + t^8.82/y + t^8.92/y - t^4.15*y - t^6.36*y - t^6.44*y - t^6.52*y + t^7.5*y + t^7.59*y + t^7.67*y + 2*t^7.77*y + 2*t^7.85*y + 2*t^7.94*y - t^8.57*y + t^8.82*y + t^8.92*y | g1^2*g2^4*t^2.21 + t^2.29/(g1^2*g2^2) + t^2.38/(g1^6*g2^8) + g1^3*g2^3*t^2.56 + t^3.44/(g1^3*g2^3) + t^3.52/(g1^7*g2^9) + g1^2*g2^2*t^3.71 + g1^11*g2^13*t^3.89 + g1^7*g2^7*t^3.97 + g1^4*g2^8*t^4.42 + g2^2*t^4.5 + (2*t^4.59)/(g1^4*g2^4) + t^4.67/(g1^8*g2^10) + t^4.75/(g1^12*g2^16) + g1^5*g2^7*t^4.77 + 2*g1*g2*t^4.85 + t^4.94/(g1^3*g2^5) + g1^6*g2^6*t^5.12 + (g2*t^5.65)/g1 + t^5.73/(g1^5*g2^5) + t^5.82/(g1^9*g2^11) + t^5.9/(g1^13*g2^17) - t^6. + t^6.08/(g1^4*g2^6) + g1^13*g2^17*t^6.1 + g1^9*g2^11*t^6.18 + 2*g1^5*g2^5*t^6.27 + (g1*t^6.35)/g2 + g1^14*g2^16*t^6.45 + g1^10*g2^10*t^6.53 + g1^6*g2^12*t^6.63 + g1^2*g2^6*t^6.71 + (2*t^6.8)/g1^2 + (2*t^6.88)/(g1^6*g2^6) + (2*t^6.96)/(g1^10*g2^12) + g1^7*g2^11*t^6.98 + (2*t^7.04)/(g1^14*g2^18) + g1^3*g2^5*t^7.06 + t^7.13/(g1^18*g2^24) + t^7.15/(g1*g2) + t^7.23/(g1^5*g2^7) + t^7.31/(g1^9*g2^13) + g1^4*g2^4*t^7.41 + t^7.5/g2^2 + g1^9*g2^9*t^7.68 + g1^22*g2^26*t^7.78 + g1*g2^5*t^7.86 + g1^18*g2^20*t^7.87 + t^7.94/(g1^3*g2) + g1^14*g2^14*t^7.95 + t^8.03/(g1^7*g2^7) + t^8.11/(g1^11*g2^13) + t^8.19/(g1^15*g2^19) - 2*g1^2*g2^4*t^8.21 + t^8.27/(g1^19*g2^25) - t^8.29/(g1^2*g2^2) + g1^15*g2^21*t^8.31 - (2*t^8.38)/(g1^6*g2^8) + g1^11*g2^15*t^8.4 + t^8.46/(g1^10*g2^14) - g1^3*g2^3*t^8.56 + t^8.64/(g1*g2^3) + g1^16*g2^20*t^8.66 + t^8.73/(g1^5*g2^9) + g1^12*g2^14*t^8.75 + 2*g1^8*g2^8*t^8.83 + g1^8*g2^16*t^8.84 + g1^4*g2^2*t^8.91 + g1^4*g2^10*t^8.92 - t^4.15/(g1*g2*y) - (g1*g2^3*t^6.36)/y - t^6.44/(g1^3*g2^3*y) - t^6.52/(g1^7*g2^9*y) + (g2^2*t^7.5)/y + t^7.59/(g1^4*g2^4*y) + t^7.67/(g1^8*g2^10*y) + (2*g1^5*g2^7*t^7.77)/y + (2*g1*g2*t^7.85)/y + (2*t^7.94)/(g1^3*g2^5*y) - (g1^3*g2^7*t^8.57)/y + t^8.82/(g1^9*g2^11*y) + (g1^4*g2^6*t^8.92)/y - (t^4.15*y)/(g1*g2) - g1*g2^3*t^6.36*y - (t^6.44*y)/(g1^3*g2^3) - (t^6.52*y)/(g1^7*g2^9) + g2^2*t^7.5*y + (t^7.59*y)/(g1^4*g2^4) + (t^7.67*y)/(g1^8*g2^10) + 2*g1^5*g2^7*t^7.77*y + 2*g1*g2*t^7.85*y + (2*t^7.94*y)/(g1^3*g2^5) - g1^3*g2^7*t^8.57*y + (t^8.82*y)/(g1^9*g2^11) + g1^4*g2^6*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 46773 | $M_1q_1q_2$ + $ 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_1M_5$ | 0.6501 | 0.8094 | 0.8031 | [X:[], M:[1.1622, 0.7548, 0.8378, 0.7947, 0.8378], q:[0.3974, 0.4405], qb:[0.8478, 0.7648], phi:[0.3874]] | t^2.26 + t^2.32 + t^2.38 + 2*t^2.51 + t^3.55 + t^3.68 + t^3.81 + t^3.86 + t^4.53 + t^4.59 + 2*t^4.65 + t^4.71 + t^4.77 + 2*t^4.78 + 3*t^4.84 + 2*t^4.9 + 3*t^5.03 + t^5.93 - 2*t^6. - t^4.16/y - t^4.16*y | detail | |
| 46519 | $M_1q_1q_2$ + $ 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_1\phi_1^2$ | 0.63 | 0.78 | 0.8077 | [X:[], M:[1.2, 0.8, 0.8, 0.8], q:[0.4, 0.4], qb:[0.8, 0.8], phi:[0.4]] | 4*t^2.4 + 5*t^3.6 + 11*t^4.8 + 11*t^6. - t^4.2/y - t^4.2*y | detail | {a: 63/100, c: 39/50, M1: 6/5, M2: 4/5, M3: 4/5, M4: 4/5, q1: 2/5, q2: 2/5, qb1: 4/5, qb2: 4/5, phi1: 2/5} |
| 46448 | $M_1q_1q_2$ + $ 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_2M_5$ | 0.6178 | 0.753 | 0.8204 | [X:[], M:[1.1598, 0.7771, 0.8402, 0.7693, 1.2229], q:[0.3846, 0.4556], qb:[0.8383, 0.7752], phi:[0.3866]] | t^2.31 + t^2.32 + t^2.52 + t^3.47 + t^3.48 + t^3.67 + t^3.68 + t^3.88 + t^3.89 + t^4.62 + t^4.63 + t^4.64 + t^4.83 + 2*t^4.84 + t^5.04 + t^5.78 + t^5.79 + t^5.98 + 2*t^5.99 - t^6. - t^4.16/y - t^4.16*y | detail | |
| 46616 | $M_1q_1q_2$ + $ 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_4M_5$ | 0.6206 | 0.7586 | 0.8181 | [X:[], M:[1.1494, 0.7075, 0.8506, 0.8251, 1.1749], q:[0.4125, 0.438], qb:[0.88, 0.7369], phi:[0.3831]] | t^2.12 + t^2.3 + t^2.55 + t^3.45 + t^3.52 + t^3.62 + t^3.7 + t^3.78 + t^3.95 + t^4.24 + t^4.42 + t^4.6 + t^4.67 + 2*t^4.85 + t^5.1 + t^5.57 + t^5.65 + t^5.75 + t^5.82 + t^5.9 - t^6. - t^4.15/y - t^4.15*y | detail | |
| 46384 | $M_1q_1q_2$ + $ 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_4\phi_1q_1^2$ | 0.6363 | 0.7853 | 0.8103 | [X:[], M:[1.1492, 0.7237, 0.8508, 0.8085], q:[0.4042, 0.4466], qb:[0.872, 0.7449], phi:[0.3831]] | t^2.17 + t^2.3 + t^2.43 + t^2.55 + t^3.45 + t^3.57 + t^3.7 + t^3.83 + t^3.96 + t^4.34 + t^4.47 + 2*t^4.6 + 2*t^4.72 + 3*t^4.85 + t^4.98 + t^5.11 + t^5.62 + t^5.75 + t^5.87 + t^6. - t^4.15/y - t^4.15*y | detail | |
| 46787 | $M_1q_1q_2$ + $ 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]] | 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. - t^4.15/y - t^4.15*y | detail | |
| 46786 | $M_1q_1q_2$ + $ 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_2^2$ | 0.6572 | 0.8255 | 0.7962 | [X:[], M:[1.1417, 0.7369, 0.8583, 0.7854, 0.6882], q:[0.3927, 0.4656], qb:[0.8704, 0.749], phi:[0.3806]] | t^2.06 + t^2.21 + t^2.28 + t^2.36 + t^2.57 + t^3.43 + t^3.5 + t^3.72 + t^4.01 + t^4.13 + t^4.28 + t^4.35 + 2*t^4.42 + t^4.49 + 2*t^4.57 + 2*t^4.64 + t^4.71 + t^4.79 + 2*t^4.86 + t^4.93 + t^5.15 + t^5.49 + t^5.56 + t^5.64 + t^5.71 + 2*t^5.78 + t^5.85 - t^6. - t^4.14/y - t^4.14*y | detail | |
| 46470 | $M_1q_1q_2$ + $ 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_1^2$ | 0.6183 | 0.7529 | 0.8212 | [X:[], M:[1.1537, 0.745, 0.8463, 0.7932, 1.2309], q:[0.3966, 0.4497], qb:[0.8584, 0.757], phi:[0.3846]] | t^2.23 + t^2.38 + t^2.54 + t^3.46 + t^3.53 + 2*t^3.69 + t^3.85 + t^3.92 + t^4.47 + t^4.61 + t^4.76 + t^4.77 + t^4.85 + t^4.92 + t^5.08 + t^5.7 + t^5.91 + t^5.93 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 46349 | $M_1q_1q_2$ + $ 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$ + $ \phi_1^3q_1^2$ | 0.6342 | 0.7835 | 0.8094 | [X:[], M:[1.1666, 0.722, 0.8334, 0.8334], q:[0.4167, 0.4167], qb:[0.8613, 0.7498], phi:[0.3889]] | t^2.17 + t^2.33 + 2*t^2.5 + t^3.5 + 3*t^3.67 + t^3.83 + t^4.33 + t^4.5 + 3*t^4.67 + 3*t^4.83 + 3*t^5. + t^5.67 + 2*t^5.83 + t^6. - t^4.17/y - t^4.17*y | detail | |
| 46635 | $M_1q_1q_2$ + $ 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$ + $ q_2\tilde{q}_1$ + $ M_2X_1$ + $ \phi_1^2X_2$ | 0.4572 | 0.5324 | 0.8587 | [X:[1.6534, 1.4286], M:[0.8571, 0.3466, 1.1429, 0.7962], q:[0.3981, 0.7447], qb:[1.2553, 0.459], phi:[0.2857]] | t^2.39 + t^2.57 + t^3.25 + t^3.43 + t^4.29 + t^4.78 + t^4.96 + t^5.14 + t^5.63 + t^5.82 - t^6. - t^3.86/y - t^3.86*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46032 | 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$ | 0.7126 | 0.866 | 0.8228 | [X:[], M:[1.0, 0.9022, 1.0, 0.9171], q:[0.4586, 0.5414], qb:[0.6393, 0.5414], phi:[0.4548]] | t^2.71 + t^2.73 + t^2.75 + 2*t^3. + 2*t^3.54 + t^4.12 + 2*t^4.36 + 3*t^4.61 + t^4.66 + 2*t^4.91 + t^5.2 + t^5.41 + t^5.44 + t^5.46 + t^5.48 + t^5.5 + 2*t^5.73 - 3*t^6. - t^4.36/y - t^4.36*y | detail |