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 |
|---|---|---|---|---|---|---|---|---|---|
| 50834 | 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_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1^2$ | 0.6699 | 0.8329 | 0.8044 | [X:[], M:[0.8237, 1.0, 1.1763, 0.8036, 0.7455, 1.0982], q:[0.4018, 0.7746], qb:[0.5982, 0.4219], phi:[0.4509]] | [X:[], M:[[3], [0], [-3], [-8], [10], [4]], q:[[-4], [1]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_1$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_6$, $ M_3$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_4M_5$, $ M_1M_5$, $ M_4^2$, $ M_1M_4$, $ \phi_1q_1q_2$, $ M_1^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_5$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_3M_5$, $ M_1M_6$ | . | -1 | t^2.24 + t^2.41 + t^2.47 + t^3. + t^3.06 + t^3.29 + t^3.53 + t^3.82 + t^3.88 + t^4.12 + t^4.35 + t^4.41 + t^4.47 + t^4.65 + t^4.71 + t^4.82 + t^4.88 + 2*t^4.94 + t^5.24 + t^5.3 + t^5.47 + 2*t^5.53 + t^5.71 + 2*t^5.77 - t^6. + t^6.06 + 2*t^6.12 + 2*t^6.29 + 3*t^6.35 + 2*t^6.59 + t^6.65 + t^6.71 + t^6.82 + 3*t^6.88 + 2*t^6.94 + t^7.12 + 3*t^7.18 + t^7.23 + t^7.35 + 3*t^7.41 + 2*t^7.47 + t^7.53 + t^7.65 + 2*t^7.71 + 3*t^7.77 - t^7.88 + 2*t^7.94 + 4*t^8. + t^8.12 + t^8.24 + 2*t^8.3 + 2*t^8.36 - 2*t^8.41 - 2*t^8.47 + 2*t^8.53 + 4*t^8.59 + 2*t^8.77 + 5*t^8.83 + t^8.89 - t^8.94 + t^8.95 - t^4.35/y - t^6.59/y - t^6.76/y + t^7.65/y + t^7.71/y + t^7.88/y + t^7.94/y + t^8.12/y + t^8.24/y + t^8.3/y + t^8.41/y + (2*t^8.47)/y + (2*t^8.53)/y + t^8.71/y + (2*t^8.77)/y - t^8.83/y + t^8.94/y - t^4.35*y - t^6.59*y - t^6.76*y + t^7.65*y + t^7.71*y + t^7.88*y + t^7.94*y + t^8.12*y + t^8.24*y + t^8.3*y + t^8.41*y + 2*t^8.47*y + 2*t^8.53*y + t^8.71*y + 2*t^8.77*y - t^8.83*y + t^8.94*y | g1^10*t^2.24 + t^2.41/g1^8 + g1^3*t^2.47 + t^3. + g1^11*t^3.06 + g1^4*t^3.29 + t^3.53/g1^3 + g1*t^3.82 + g1^12*t^3.88 + g1^5*t^4.12 + t^4.35/g1^2 + g1^9*t^4.41 + g1^20*t^4.47 + g1^2*t^4.65 + g1^13*t^4.71 + t^4.82/g1^16 + t^4.88/g1^5 + 2*g1^6*t^4.94 + g1^10*t^5.24 + g1^21*t^5.3 + g1^3*t^5.47 + 2*g1^14*t^5.53 + t^5.71/g1^4 + 2*g1^7*t^5.77 - t^6. + g1^11*t^6.06 + 2*g1^22*t^6.12 + 2*g1^4*t^6.29 + 3*g1^15*t^6.35 + 2*g1^8*t^6.59 + g1^19*t^6.65 + g1^30*t^6.71 + g1*t^6.82 + 3*g1^12*t^6.88 + 2*g1^23*t^6.94 + g1^5*t^7.12 + 3*g1^16*t^7.18 + t^7.23/g1^24 + t^7.35/g1^2 + 3*g1^9*t^7.41 + 2*g1^20*t^7.47 + g1^31*t^7.53 + g1^2*t^7.65 + 2*g1^13*t^7.71 + 3*g1^24*t^7.77 - t^7.88/g1^5 + 2*g1^6*t^7.94 + 4*g1^17*t^8. + t^8.12/g1^12 + g1^10*t^8.24 + 2*g1^21*t^8.3 + 2*g1^32*t^8.36 - (2*t^8.41)/g1^8 - 2*g1^3*t^8.47 + 2*g1^14*t^8.53 + 4*g1^25*t^8.59 + 2*g1^7*t^8.77 + 5*g1^18*t^8.83 + g1^29*t^8.89 - t^8.94/g1^11 + g1^40*t^8.95 - t^4.35/(g1^2*y) - (g1^8*t^6.59)/y - t^6.76/(g1^10*y) + (g1^2*t^7.65)/y + (g1^13*t^7.71)/y + t^7.88/(g1^5*y) + (g1^6*t^7.94)/y + t^8.12/(g1^12*y) + (g1^10*t^8.24)/y + (g1^21*t^8.3)/y + t^8.41/(g1^8*y) + (2*g1^3*t^8.47)/y + (2*g1^14*t^8.53)/y + t^8.71/(g1^4*y) + (2*g1^7*t^8.77)/y - (g1^18*t^8.83)/y + t^8.94/(g1^11*y) - (t^4.35*y)/g1^2 - g1^8*t^6.59*y - (t^6.76*y)/g1^10 + g1^2*t^7.65*y + g1^13*t^7.71*y + (t^7.88*y)/g1^5 + g1^6*t^7.94*y + (t^8.12*y)/g1^12 + g1^10*t^8.24*y + g1^21*t^8.3*y + (t^8.41*y)/g1^8 + 2*g1^3*t^8.47*y + 2*g1^14*t^8.53*y + (t^8.71*y)/g1^4 + 2*g1^7*t^8.77*y - g1^18*t^8.83*y + (t^8.94*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56095 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1^2$ + $ M_5^2$ + $ M_4X_1$ | 0.5839 | 0.6964 | 0.8384 | [X:[1.4], M:[0.9, 1.0, 1.1, 0.6, 1.0, 1.2], q:[0.3, 0.8], qb:[0.7, 0.6], phi:[0.4]] | t^2.7 + 2*t^3. + t^3.3 + t^3.6 + 2*t^3.9 + 2*t^4.2 + t^4.5 + 2*t^5.4 - t^4.2/y - t^4.2*y | detail | {a: 4671/8000, c: 5571/8000, X1: 7/5, M1: 9/10, M2: 1, M3: 11/10, M4: 3/5, M5: 1, M6: 6/5, q1: 3/10, q2: 4/5, qb1: 7/10, qb2: 3/5, phi1: 2/5} |
| 56101 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_1\tilde{q}_2$ | 0.6899 | 0.8698 | 0.7931 | [X:[], M:[0.8241, 1.0, 1.1759, 0.8025, 0.7469, 1.0988, 0.7253], q:[0.4012, 0.7747], qb:[0.5988, 0.4228], phi:[0.4506]] | t^2.18 + t^2.24 + t^2.41 + t^2.47 + t^3. + t^3.06 + t^3.3 + t^3.53 + t^3.89 + t^4.12 + 2*t^4.35 + 2*t^4.42 + t^4.48 + t^4.58 + 2*t^4.65 + t^4.71 + t^4.81 + t^4.88 + 2*t^4.94 + t^5.18 + 2*t^5.24 + t^5.31 + 2*t^5.47 + 2*t^5.54 + 2*t^5.7 + 2*t^5.77 - t^6. - t^4.35/y - t^4.35*y | detail | |
| 56102 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6905 | 0.8716 | 0.7922 | [X:[], M:[0.8262, 1.0, 1.1738, 0.7969, 0.7539, 1.1016, 0.6953], q:[0.3984, 0.7754], qb:[0.6016, 0.4277], phi:[0.4492]] | t^2.09 + t^2.26 + t^2.39 + t^2.48 + t^3. + t^3.09 + t^3.3 + t^3.52 + t^3.83 + t^4.13 + t^4.17 + 2*t^4.35 + t^4.44 + t^4.48 + t^4.52 + t^4.56 + t^4.65 + t^4.74 + t^4.78 + t^4.87 + 2*t^4.96 + t^5.09 + t^5.17 + t^5.26 + t^5.35 + t^5.39 + t^5.48 + 2*t^5.57 + t^5.61 + t^5.7 + 2*t^5.78 + t^5.91 - t^6. - t^4.35/y - t^4.35*y | detail | |
| 56099 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1^2$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.6741 | 0.8369 | 0.8055 | [X:[], M:[0.8372, 1.0, 1.1628, 0.7674, 0.7907, 1.1163, 0.9302], q:[0.3837, 0.7791], qb:[0.6163, 0.4535], phi:[0.4419]] | t^2.3 + t^2.37 + t^2.51 + t^2.79 + t^3. + t^3.35 + t^3.49 + t^3.84 + t^4.05 + t^4.19 + t^4.33 + t^4.53 + t^4.6 + t^4.67 + t^4.74 + t^4.81 + t^4.88 + 2*t^5.02 + t^5.09 + t^5.16 + t^5.3 + t^5.37 + t^5.58 + t^5.65 + t^5.72 + t^5.79 + 2*t^5.86 - t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48299 | 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_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ | 0.6791 | 0.8471 | 0.8017 | [X:[], M:[0.8282, 1.0, 1.1718, 0.7914, 0.7608], q:[0.3957, 0.7761], qb:[0.6043, 0.4326], phi:[0.4478]] | t^2.28 + t^2.37 + t^2.48 + t^2.69 + t^3. + t^3.11 + t^3.52 + t^3.83 + t^3.94 + t^4.14 + t^4.34 + t^4.45 + t^4.56 + t^4.66 + t^4.75 + t^4.77 + t^4.86 + 3*t^4.97 + t^5.06 + t^5.17 + t^5.28 + t^5.37 + t^5.39 + t^5.48 + t^5.6 + t^5.69 + 2*t^5.8 - t^6. - t^4.34/y - t^4.34*y | detail |