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 |
|---|---|---|---|---|---|---|---|---|---|
| 46927 | 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$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ M_6q_2\tilde{q}_1$ | 0.7143 | 0.8808 | 0.8109 | [X:[], M:[0.9724, 1.0548, 1.0276, 0.8356, 0.9452, 0.8628], q:[0.4178, 0.6098], qb:[0.5274, 0.5546], phi:[0.4726]] | [X:[], M:[[-3, 1], [2, 0], [3, -1], [-6, 0], [-2, 0], [-7, 1]], q:[[-3, 0], [6, -1]], qb:[[1, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ M_4M_6$, $ M_6^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_1M_6$, $ M_5^2$, $ M_3M_6$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ M_3\phi_1^2$ | . | -3 | t^2.51 + t^2.59 + 2*t^2.84 + t^2.92 + t^3.08 + t^3.25 + t^3.92 + t^4.25 + t^4.33 + t^4.5 + t^4.58 + t^4.66 + t^4.75 + t^4.83 + t^4.91 + t^5.01 + t^5.08 + t^5.09 + t^5.18 + 2*t^5.34 + 2*t^5.42 + t^5.51 + 3*t^5.67 + 2*t^5.75 + t^5.83 + t^5.92 - 3*t^6. + t^6.08 + t^6.16 - t^6.25 - t^6.33 - t^6.41 + t^6.43 + t^6.49 + t^6.51 - t^6.58 + 3*t^6.76 + 2*t^6.84 + t^6.92 + t^7.01 + 2*t^7.09 + 4*t^7.17 + 2*t^7.25 + t^7.33 + 2*t^7.34 + t^7.42 + 2*t^7.5 + t^7.52 + 4*t^7.58 + t^7.6 + t^7.66 + t^7.67 + t^7.68 + t^7.76 + 3*t^7.85 + 2*t^7.91 + 2*t^7.93 + 2*t^8.01 - t^8.08 + t^8.09 + t^8.16 + 3*t^8.18 - t^8.24 + 4*t^8.26 + 2*t^8.34 + t^8.42 + 2*t^8.67 + 2*t^8.75 - 7*t^8.84 - 3*t^8.92 + t^8.94 - t^4.42/y - t^6.92/y - t^7.01/y - t^7.25/y + t^7.58/y + t^7.83/y + t^7.91/y + t^8.09/y + (2*t^8.34)/y + (3*t^8.42)/y + t^8.51/y + t^8.59/y + (2*t^8.67)/y + (3*t^8.75)/y + t^8.83/y + (2*t^8.92)/y - t^4.42*y - t^6.92*y - t^7.01*y - t^7.25*y + t^7.58*y + t^7.83*y + t^7.91*y + t^8.09*y + 2*t^8.34*y + 3*t^8.42*y + t^8.51*y + t^8.59*y + 2*t^8.67*y + 3*t^8.75*y + t^8.83*y + 2*t^8.92*y | t^2.51/g1^6 + (g2*t^2.59)/g1^7 + (2*t^2.84)/g1^2 + (g2*t^2.92)/g1^3 + (g1^3*t^3.08)/g2 + g1*g2*t^3.25 + t^3.92/g1^7 + t^4.25/g1^3 + (g2*t^4.33)/g1^4 + (g1^2*t^4.5)/g2 + g1*t^4.58 + g2*t^4.66 + (g2^2*t^4.75)/g1 + (g1^6*t^4.83)/g2 + g1^5*t^4.91 + t^5.01/g1^12 + (g1^11*t^5.08)/g2^2 + (g2*t^5.09)/g1^13 + (g2^2*t^5.18)/g1^14 + (2*t^5.34)/g1^8 + (2*g2*t^5.42)/g1^9 + (g2^2*t^5.51)/g1^10 + (3*t^5.67)/g1^4 + (2*g2*t^5.75)/g1^5 + (g2^2*t^5.83)/g1^6 + (g1*t^5.92)/g2 - 3*t^6. + (g2*t^6.08)/g1 + (g2^2*t^6.16)/g1^2 - (g1^5*t^6.25)/g2 - g1^4*t^6.33 - g1^3*g2*t^6.41 + t^6.43/g1^13 + g1^2*g2^2*t^6.49 + (g2*t^6.51)/g1^14 - (g1^9*t^6.58)/g2 + (3*t^6.76)/g1^9 + (2*g2*t^6.84)/g1^10 + (g2^2*t^6.92)/g1^11 + t^7.01/(g1^4*g2) + (2*t^7.09)/g1^5 + (4*g2*t^7.17)/g1^6 + (2*g2^2*t^7.25)/g1^7 + (g2^3*t^7.33)/g1^8 + (2*t^7.34)/g2 + t^7.42/g1 + (2*g2*t^7.5)/g1^2 + t^7.52/g1^18 + (g1^5*t^7.58)/g2^2 + (3*g2^2*t^7.58)/g1^3 + (g2*t^7.6)/g1^19 + (g2^3*t^7.66)/g1^4 + (g1^4*t^7.67)/g2 + (g2^2*t^7.68)/g1^20 + (g2^3*t^7.76)/g1^21 + (3*t^7.85)/g1^14 + (2*g1^9*t^7.91)/g2^2 + (2*g2*t^7.93)/g1^15 - (g1^8*t^7.99)/g2 + g2^3*t^7.99 + (2*g2^2*t^8.01)/g1^16 - g1^7*t^8.08 + (g2^3*t^8.09)/g1^17 + (g1^14*t^8.16)/g2^3 + (3*t^8.18)/g1^10 - (g1^13*t^8.24)/g2^2 + (4*g2*t^8.26)/g1^11 + (2*g2^2*t^8.34)/g1^12 + (g2^3*t^8.42)/g1^13 + (2*g2^2*t^8.67)/g1^8 + t^8.75/(g1*g2) + (g2^3*t^8.75)/g1^9 - (7*t^8.84)/g1^2 - (3*g2*t^8.92)/g1^3 + t^8.94/g1^19 - t^4.42/(g1*y) - t^6.92/(g1^7*y) - (g2*t^7.01)/(g1^8*y) - t^7.25/(g1^3*y) + (g1*t^7.58)/y + (g1^6*t^7.83)/(g2*y) + (g1^5*t^7.91)/y + (g2*t^8.09)/(g1^13*y) + (2*t^8.34)/(g1^8*y) + (3*g2*t^8.42)/(g1^9*y) + (g2^2*t^8.51)/(g1^10*y) + t^8.59/(g1^3*g2*y) + (2*t^8.67)/(g1^4*y) + (3*g2*t^8.75)/(g1^5*y) + (g2^2*t^8.83)/(g1^6*y) + (2*g1*t^8.92)/(g2*y) - (t^4.42*y)/g1 - (t^6.92*y)/g1^7 - (g2*t^7.01*y)/g1^8 - (t^7.25*y)/g1^3 + g1*t^7.58*y + (g1^6*t^7.83*y)/g2 + g1^5*t^7.91*y + (g2*t^8.09*y)/g1^13 + (2*t^8.34*y)/g1^8 + (3*g2*t^8.42*y)/g1^9 + (g2^2*t^8.51*y)/g1^10 + (t^8.59*y)/(g1^3*g2) + (2*t^8.67*y)/g1^4 + (3*g2*t^8.75*y)/g1^5 + (g2^2*t^8.83*y)/g1^6 + (2*g1*t^8.92*y)/g2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 53881 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_7$ | 0.7132 | 0.8781 | 0.8122 | [X:[], M:[1.0035, 1.0554, 0.9965, 0.8338, 0.9446, 0.8926, 0.9965], q:[0.4169, 0.5797], qb:[0.5277, 0.5866], phi:[0.4723]] | t^2.5 + t^2.68 + 2*t^2.83 + 2*t^2.99 + t^3.34 + t^3.92 + t^4.25 + t^4.41 + t^4.43 + t^4.58 + t^4.74 + t^4.76 + t^4.89 + t^4.92 + t^4.94 + t^5. + t^5.18 + 2*t^5.34 + t^5.36 + t^5.49 + t^5.51 + 4*t^5.67 + 3*t^5.82 + 2*t^5.98 - 4*t^6. - t^4.42/y - t^4.42*y | detail | |
| 55322 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ | 0.6919 | 0.8476 | 0.8162 | [X:[], M:[1.0153, 1.0031, 0.9847, 0.9908, 0.9969, 1.0092], q:[0.4954, 0.4893], qb:[0.5015, 0.5199], phi:[0.4985]] | t^2.95 + t^2.97 + 2*t^2.99 + t^3.03 + t^3.05 + t^3.06 + t^4.43 + t^4.45 + 2*t^4.47 + t^4.49 + t^4.5 + t^4.52 + t^4.54 + t^4.56 + t^4.61 + 2*t^5.94 + t^5.96 + 2*t^5.98 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 55376 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ | 0.6979 | 0.8549 | 0.8164 | [X:[], M:[1.046, 1.023, 0.954, 0.9309, 0.977, 1.0], q:[0.4655, 0.4885], qb:[0.5115, 0.5806], phi:[0.4885]] | t^2.79 + t^2.86 + 2*t^2.93 + t^3. + t^3.14 + t^3.28 + t^4.26 + t^4.33 + 2*t^4.4 + t^4.47 + t^4.53 + t^4.6 + t^4.67 + t^4.74 + t^4.95 + t^5.59 + 2*t^5.72 + 2*t^5.79 + 3*t^5.86 + t^5.93 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 55387 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ M_6q_2\tilde{q}_1$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.724 | 0.8987 | 0.8056 | [X:[], M:[1.0, 1.0656, 1.0, 0.8031, 0.9344, 0.8687, 0.8687], q:[0.4015, 0.5985], qb:[0.5328, 0.5985], phi:[0.4672]] | t^2.41 + 2*t^2.61 + 2*t^2.8 + 2*t^3. + t^3.81 + t^4.2 + 2*t^4.4 + t^4.6 + 2*t^4.8 + t^4.82 + 3*t^4.99 + 2*t^5.02 + 5*t^5.21 + 4*t^5.41 + 6*t^5.61 + 2*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*y | detail | |
| 55141 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ + $ M_6q_2\tilde{q}_1$ + $ \phi_1q_2^2$ | 0.6865 | 0.8649 | 0.7938 | [X:[], M:[0.8539, 1.0831, 1.1461, 0.7506, 0.9169, 0.6877], q:[0.3753, 0.7708], qb:[0.5416, 0.4786], phi:[0.4584]] | t^2.06 + t^2.25 + t^2.56 + 2*t^2.75 + t^3.06 + t^3.44 + t^3.63 + t^3.94 + 2*t^4.13 + t^4.25 + t^4.31 + t^4.44 + t^4.5 + 2*t^4.62 + 3*t^4.81 + 2*t^5. + 2*t^5.12 + 3*t^5.31 + 3*t^5.5 + t^5.62 + t^5.69 + t^5.81 + t^5.88 - t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46734 | 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$ + $ M_2\phi_1^2$ + $ M_2M_5$ | 0.7041 | 0.8617 | 0.8171 | [X:[], M:[1.0, 1.0435, 1.0, 0.8694, 0.9565], q:[0.4347, 0.5653], qb:[0.5218, 0.5653], phi:[0.4782]] | t^2.61 + 2*t^2.87 + 2*t^3. + 2*t^3.26 + t^4.04 + t^4.3 + 2*t^4.43 + t^4.57 + 2*t^4.7 + 3*t^4.83 + t^5.22 + 2*t^5.48 + 2*t^5.74 + 4*t^5.87 - 3*t^6. - t^4.43/y - t^4.43*y | detail |