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 |
|---|---|---|---|---|---|---|---|---|---|
| 828 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ M_4M_6$ | 0.7059 | 0.868 | 0.8133 | [X:[], M:[0.9254, 1.0373, 1.0, 1.0746, 0.8508, 0.9254], q:[0.4792, 0.5954], qb:[0.4462, 0.5538], phi:[0.4814]] | [X:[], M:[[-4, -4], [2, 2], [0, 0], [4, 4], [-8, -8], [-4, -4]], q:[[-4, 4], [8, 0]], qb:[[0, -8], [0, 8]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_1$, $ M_6$, $ M_3$, $ q_1\tilde{q}_2$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_5^2$, $ M_1M_5$, $ M_5M_6$, $ M_1^2$, $ M_3M_5$, $ M_1M_6$, $ M_6^2$, $ M_2M_5$, $ M_1M_3$, $ M_3M_6$, $ M_6q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_6$, $ M_6q_2\tilde{q}_1$ | . | -3 | t^2.55 + 2*t^2.78 + t^3. + t^3.1 + t^3.11 + t^3.12 + t^4.12 + t^4.22 + t^4.32 + t^4.44 + t^4.54 + t^4.57 + t^4.67 + t^4.77 + t^4.89 + t^5.02 + t^5.1 + 2*t^5.33 + 3*t^5.55 + t^5.66 + t^5.78 + t^5.88 + 2*t^5.89 + t^5.9 - 3*t^6. + t^6.11 + t^6.2 + t^6.21 + t^6.24 + t^6.25 - t^6.32 - t^6.35 - t^6.45 + t^6.67 + t^6.77 + t^6.87 + 2*t^6.9 + 2*t^7. + 2*t^7.1 + t^7.12 + 3*t^7.22 + t^7.25 + 3*t^7.32 + t^7.35 + t^7.42 + t^7.44 + 2*t^7.54 + t^7.57 + t^7.64 + t^7.66 + t^7.67 + t^7.69 + t^7.79 + t^7.87 + 2*t^7.88 + t^8.02 + 3*t^8.1 + t^8.14 + t^8.22 + t^8.24 + 3*t^8.33 + t^8.34 + 3*t^8.44 - t^8.45 + t^8.54 - 2*t^8.55 + t^8.57 + t^8.64 + 4*t^8.66 + t^8.69 + t^8.76 - 7*t^8.78 + t^8.79 + t^8.86 - 2*t^8.88 + 3*t^8.89 - t^8.9 + t^8.97 + 3*t^8.99 - t^4.44/y - t^7./y - t^7.22/y + t^7.67/y + t^7.89/y + (2*t^8.33)/y + (2*t^8.55)/y + t^8.65/y + t^8.66/y + t^8.68/y + (2*t^8.78)/y + (2*t^8.88)/y + (2*t^8.89)/y + (2*t^8.9)/y - t^4.44*y - t^7.*y - t^7.22*y + t^7.67*y + t^7.89*y + 2*t^8.33*y + 2*t^8.55*y + t^8.65*y + t^8.66*y + t^8.68*y + 2*t^8.78*y + 2*t^8.88*y + 2*t^8.89*y + 2*t^8.9*y | t^2.55/(g1^8*g2^8) + (2*t^2.78)/(g1^4*g2^4) + t^3. + (g2^12*t^3.1)/g1^4 + g1^2*g2^2*t^3.11 + (g1^8*t^3.12)/g2^8 + t^4.12/(g1*g2^17) + t^4.22/(g1^5*g2^5) + (g2^7*t^4.32)/g1^9 + t^4.44/(g1*g2) + (g2^11*t^4.54)/g1^5 + (g1^7*t^4.57)/g2^9 + g1^3*g2^3*t^4.67 + (g2^15*t^4.77)/g1 + g1^7*g2^7*t^4.89 + (g1^15*t^5.02)/g2 + t^5.1/(g1^16*g2^16) + (2*t^5.33)/(g1^12*g2^12) + (3*t^5.55)/(g1^8*g2^8) + t^5.66/(g1^6*g2^6) + t^5.78/(g1^4*g2^4) + (g2^8*t^5.88)/g1^8 + (2*t^5.89)/(g1^2*g2^2) + (g1^4*t^5.9)/g2^12 - 3*t^6. + g1^2*g2^2*t^6.11 + (g2^24*t^6.2)/g1^8 + (g2^14*t^6.21)/g1^2 + (g1^10*t^6.24)/g2^6 + (g1^16*t^6.25)/g2^16 - g2^16*t^6.32 - (g1^12*t^6.35)/g2^4 - g1^8*g2^8*t^6.45 + t^6.67/(g1^9*g2^25) + t^6.77/(g1^13*g2^13) + t^6.87/(g1^17*g2) + (2*t^6.9)/(g1^5*g2^21) + (2*t^7.)/(g1^9*g2^9) + (2*g2^3*t^7.1)/g1^13 + t^7.12/(g1*g2^17) + (3*t^7.22)/(g1^5*g2^5) + (g1^7*t^7.25)/g2^25 + (3*g2^7*t^7.32)/g1^9 + (g1^3*t^7.35)/g2^13 + (g2^19*t^7.42)/g1^13 + t^7.44/(g1*g2) + (2*g2^11*t^7.54)/g1^5 + (g1^7*t^7.57)/g2^9 + (g2^23*t^7.64)/g1^9 + t^7.66/(g1^24*g2^24) + g1^3*g2^3*t^7.67 + (g1^15*t^7.69)/g2^17 + (g1^11*t^7.79)/g2^5 + (g2^27*t^7.87)/g1^5 + (2*t^7.88)/(g1^20*g2^20) + (g1^15*t^8.02)/g2 + (3*t^8.1)/(g1^16*g2^16) + (g1^23*t^8.14)/g2^9 + t^8.22/(g1^14*g2^14) + t^8.24/(g1^2*g2^34) + (3*t^8.33)/(g1^12*g2^12) + t^8.34/(g1^6*g2^22) + (3*t^8.44)/(g1^10*g2^10) - t^8.45/(g1^4*g2^20) + (g2^2*t^8.54)/g1^14 - (2*t^8.55)/(g1^8*g2^8) + t^8.57/(g1^2*g2^18) + (g2^14*t^8.64)/g1^18 + (4*t^8.66)/(g1^6*g2^6) + (g1^6*t^8.69)/g2^26 + (g2^6*t^8.76)/g1^10 - (7*t^8.78)/(g1^4*g2^4) + (g1^2*t^8.79)/g2^14 + (g2^18*t^8.86)/g1^14 - (2*g2^8*t^8.88)/g1^8 + (3*t^8.89)/(g1^2*g2^2) - (g1^4*t^8.9)/g2^12 + (g2^20*t^8.97)/g1^12 + (3*g2^10*t^8.99)/g1^6 - t^4.44/(g1*g2*y) - t^7./(g1^9*g2^9*y) - t^7.22/(g1^5*g2^5*y) + (g1^3*g2^3*t^7.67)/y + (g1^7*g2^7*t^7.89)/y + (2*t^8.33)/(g1^12*g2^12*y) + (2*t^8.55)/(g1^8*g2^8*y) + (g2^4*t^8.65)/(g1^12*y) + t^8.66/(g1^6*g2^6*y) + t^8.68/(g2^16*y) + (2*t^8.78)/(g1^4*g2^4*y) + (2*g2^8*t^8.88)/(g1^8*y) + (2*t^8.89)/(g1^2*g2^2*y) + (2*g1^4*t^8.9)/(g2^12*y) - (t^4.44*y)/(g1*g2) - (t^7.*y)/(g1^9*g2^9) - (t^7.22*y)/(g1^5*g2^5) + g1^3*g2^3*t^7.67*y + g1^7*g2^7*t^7.89*y + (2*t^8.33*y)/(g1^12*g2^12) + (2*t^8.55*y)/(g1^8*g2^8) + (g2^4*t^8.65*y)/g1^12 + (t^8.66*y)/(g1^6*g2^6) + (t^8.68*y)/g2^16 + (2*t^8.78*y)/(g1^4*g2^4) + (2*g2^8*t^8.88*y)/g1^8 + (2*t^8.89*y)/(g1^2*g2^2) + (2*g1^4*t^8.9*y)/g2^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1307 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_1\tilde{q}_2$ | 0.7046 | 0.8662 | 0.8135 | [X:[], M:[0.9322, 1.0339, 1.0, 1.0678, 0.8644, 0.9322], q:[0.5, 0.5678], qb:[0.4322, 0.5678], phi:[0.483]] | t^2.59 + 2*t^2.8 + 2*t^3. + t^3.1 + t^3.2 + t^4.04 + t^4.25 + 3*t^4.45 + 2*t^4.65 + 3*t^4.86 + t^5.19 + 2*t^5.39 + 3*t^5.59 + t^5.69 + 2*t^5.8 + 2*t^5.9 - t^6. - t^4.45/y - t^4.45*y | detail | |
| 1306 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_2\tilde{q}_1$ | 0.705 | 0.8668 | 0.8134 | [X:[], M:[0.929, 1.0355, 1.0, 1.071, 0.858, 0.929], q:[0.4645, 0.6065], qb:[0.4645, 0.5355], phi:[0.4823]] | t^2.57 + 2*t^2.79 + 2*t^3. + t^3.11 + t^3.21 + 3*t^4.23 + 2*t^4.45 + 3*t^4.66 + t^4.87 + t^5.09 + t^5.15 + 2*t^5.36 + 3*t^5.57 + t^5.68 + 2*t^5.79 + 2*t^5.89 - t^6. - t^4.45/y - t^4.45*y | detail | |
| 2013 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ | 0.5738 | 0.7167 | 0.8007 | [X:[1.5714], M:[0.7143, 1.1429, 1.0, 1.2857, 0.4286, 0.7143], q:[0.3929, 0.8929], qb:[0.3214, 0.6786], phi:[0.4286]] | 2*t^2.14 + t^3. + 2*t^3.21 + 2*t^3.43 + 2*t^3.64 + 3*t^4.29 + t^4.71 + 2*t^5.14 + 4*t^5.36 + 3*t^5.57 + 2*t^5.79 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 12597/21952, c: 15733/21952, X1: 11/7, M1: 5/7, M2: 8/7, M3: 1, M4: 9/7, M5: 3/7, M6: 5/7, q1: 11/28, q2: 25/28, qb1: 9/28, qb2: 19/28, phi1: 3/7} |
| 2014 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ \phi_1q_2^2$ | 0.6744 | 0.8431 | 0.7999 | [X:[], M:[0.8409, 1.0795, 1.0, 1.1591, 0.6819, 0.8409], q:[0.3892, 0.7699], qb:[0.4517, 0.5483], phi:[0.4602]] | t^2.05 + 2*t^2.52 + t^2.81 + t^3. + t^3.24 + t^3.66 + t^3.72 + t^3.9 + 2*t^4.09 + t^4.19 + t^4.38 + 2*t^4.57 + t^4.67 + t^4.86 + 4*t^5.05 + t^5.28 + 2*t^5.34 + t^5.52 + t^5.62 + 3*t^5.76 + t^5.95 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 532 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ | 0.6998 | 0.8569 | 0.8166 | [X:[], M:[0.9424, 1.0288, 1.0, 1.0576, 0.8849], q:[0.4843, 0.5732], qb:[0.4581, 0.5419], phi:[0.4856]] | t^2.65 + t^2.83 + t^3. + t^3.08 + 2*t^3.09 + t^3.17 + t^4.21 + t^4.28 + t^4.36 + t^4.46 + t^4.54 + t^4.55 + t^4.63 + t^4.71 + t^4.8 + t^4.9 + t^5.31 + t^5.48 + t^5.65 + t^5.74 + t^5.83 + t^5.91 - 2*t^6. - t^4.46/y - t^4.46*y | detail |