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 |
|---|---|---|---|---|---|---|---|---|---|
| 1027 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_2$ | 0.723 | 0.9046 | 0.7992 | [X:[], M:[1.0, 1.1624, 0.9316, 1.0, 0.7436, 0.6752, 0.6752], q:[0.7906, 0.5342], qb:[0.4658, 0.5342], phi:[0.4188]] | [X:[], M:[[7, 1], [-4, 0], [14, 0], [-7, -1], [-6, 0], [15, 1], [1, -1]], q:[[-1, 0], [-14, -1]], qb:[[7, 0], [0, 1]], phi:[[2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ M_5$, $ M_3$, $ M_4$, $ M_1$, $ M_2$, $ M_6M_7$, $ \phi_1\tilde{q}_1^2$, $ M_7^2$, $ M_6^2$, $ M_5M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_7$, $ M_3M_6$, $ M_3M_5$, $ M_4M_6$, $ M_1M_7$, $ M_4M_7$, $ M_1M_6$, $ M_4M_5$, $ M_1M_5$, $ M_2M_7$, $ M_2M_6$, $ M_3^2$, $ M_2M_5$ | $M_1^2$, $ M_4^2$ | -2 | 2*t^2.03 + t^2.23 + t^2.79 + 2*t^3. + t^3.49 + 4*t^4.05 + 4*t^4.26 + 4*t^4.46 + 2*t^4.82 + 5*t^5.03 + 2*t^5.23 + 2*t^5.51 + t^5.59 + t^5.72 - 2*t^6. + 6*t^6.08 - 2*t^6.21 + 8*t^6.28 + 10*t^6.49 + 4*t^6.69 - 2*t^6.77 + 4*t^6.85 - t^6.97 + 10*t^7.05 + 7*t^7.26 + 4*t^7.46 + 3*t^7.54 + 2*t^7.62 + 2*t^7.74 + t^7.82 + t^7.95 - 6*t^8.03 + 9*t^8.1 - 10*t^8.23 + 14*t^8.31 + t^8.38 - 4*t^8.44 + 19*t^8.51 + 12*t^8.72 - 7*t^8.79 + 6*t^8.87 + 9*t^8.92 - t^4.26/y - (2*t^6.28)/y - t^6.49/y + (2*t^7.26)/y + t^7.46/y + (2*t^7.82)/y + (6*t^8.03)/y + (4*t^8.23)/y - (3*t^8.31)/y + (2*t^8.79)/y - t^4.26*y - 2*t^6.28*y - t^6.49*y + 2*t^7.26*y + t^7.46*y + 2*t^7.82*y + 6*t^8.03*y + 4*t^8.23*y - 3*t^8.31*y + 2*t^8.79*y | (g1*t^2.03)/g2 + g1^15*g2*t^2.03 + t^2.23/g1^6 + g1^14*t^2.79 + t^3./(g1^7*g2) + g1^7*g2*t^3. + t^3.49/g1^4 + 2*g1^16*t^4.05 + (g1^2*t^4.05)/g2^2 + g1^30*g2^2*t^4.05 + (2*t^4.26)/(g1^5*g2) + 2*g1^9*g2*t^4.26 + (2*t^4.46)/g1^12 + t^4.46/(g1^26*g2^2) + g1^2*g2^2*t^4.46 + (g1^15*t^4.82)/g2 + g1^29*g2*t^4.82 + 3*g1^8*t^5.03 + t^5.03/(g1^6*g2^2) + g1^22*g2^2*t^5.03 + t^5.23/(g1^13*g2) + g1*g2*t^5.23 + t^5.51/(g1^3*g2) + g1^11*g2*t^5.51 + g1^28*t^5.59 + t^5.72/g1^10 - 2*t^6. + (g1^3*t^6.08)/g2^3 + (2*g1^17*t^6.08)/g2 + 2*g1^31*g2*t^6.08 + g1^45*g2^3*t^6.08 - t^6.21/(g1^21*g2) - (g2*t^6.21)/g1^7 + 4*g1^10*t^6.28 + (2*t^6.28)/(g1^4*g2^2) + 2*g1^24*g2^2*t^6.28 + t^6.49/(g1^25*g2^3) + (4*t^6.49)/(g1^11*g2) + 4*g1^3*g2*t^6.49 + g1^17*g2^3*t^6.49 + (2*t^6.69)/g1^18 + t^6.69/(g1^32*g2^2) + (g2^2*t^6.69)/g1^4 - t^6.77/(g1*g2) - g1^13*g2*t^6.77 + 2*g1^30*t^6.85 + (g1^16*t^6.85)/g2^2 + g1^44*g2^2*t^6.85 - t^6.97/g1^8 + t^7.05/(g1^5*g2^3) + (4*g1^9*t^7.05)/g2 + 4*g1^23*g2*t^7.05 + g1^37*g2^3*t^7.05 + 3*g1^2*t^7.26 + (2*t^7.26)/(g1^12*g2^2) + 2*g1^16*g2^2*t^7.26 + t^7.46/(g1^33*g2^3) + t^7.46/(g1^19*g2) + (g2*t^7.46)/g1^5 + g1^9*g2^3*t^7.46 + g1^12*t^7.54 + t^7.54/(g1^2*g2^2) + g1^26*g2^2*t^7.54 + (g1^29*t^7.62)/g2 + g1^43*g2*t^7.62 + t^7.74/(g1^9*g2) + g1^5*g2*t^7.74 + g1^22*t^7.82 + t^7.95/g1^16 - (3*g1*t^8.03)/g2 - 3*g1^15*g2*t^8.03 + 3*g1^32*t^8.1 + (g1^4*t^8.1)/g2^4 + (2*g1^18*t^8.1)/g2^2 + 2*g1^46*g2^2*t^8.1 + g1^60*g2^4*t^8.1 - (6*t^8.23)/g1^6 - (2*t^8.23)/(g1^20*g2^2) - 2*g1^8*g2^2*t^8.23 + (2*t^8.31)/(g1^3*g2^3) + (5*g1^11*t^8.31)/g2 + 5*g1^25*g2*t^8.31 + 2*g1^39*g2^3*t^8.31 + g1^42*t^8.38 - (2*t^8.44)/(g1^27*g2) - (2*g2*t^8.44)/g1^13 + 7*g1^4*t^8.51 + t^8.51/(g1^24*g2^4) + (5*t^8.51)/(g1^10*g2^2) + 5*g1^18*g2^2*t^8.51 + g1^32*g2^4*t^8.51 + (2*t^8.72)/(g1^31*g2^3) + (4*t^8.72)/(g1^17*g2) + (4*g2*t^8.72)/g1^3 + 2*g1^11*g2^3*t^8.72 - 5*g1^14*t^8.79 - t^8.79/g2^2 - g1^28*g2^2*t^8.79 + (g1^17*t^8.87)/g2^3 + (2*g1^31*t^8.87)/g2 + 2*g1^45*g2*t^8.87 + g1^59*g2^3*t^8.87 + (3*t^8.92)/g1^24 + t^8.92/(g1^52*g2^4) + (2*t^8.92)/(g1^38*g2^2) + (2*g2^2*t^8.92)/g1^10 + g1^4*g2^4*t^8.92 - (g1^2*t^4.26)/y - (g1^3*t^6.28)/(g2*y) - (g1^17*g2*t^6.28)/y - t^6.49/(g1^4*y) + t^7.26/(g1^5*g2*y) + (g1^9*g2*t^7.26)/y + t^7.46/(g1^12*y) + (g1^15*t^7.82)/(g2*y) + (g1^29*g2*t^7.82)/y + (4*g1^8*t^8.03)/y + t^8.03/(g1^6*g2^2*y) + (g1^22*g2^2*t^8.03)/y + (2*t^8.23)/(g1^13*g2*y) + (2*g1*g2*t^8.23)/y - (g1^18*t^8.31)/y - (g1^4*t^8.31)/(g2^2*y) - (g1^32*g2^2*t^8.31)/y + (g1^7*t^8.79)/(g2*y) + (g1^21*g2*t^8.79)/y - g1^2*t^4.26*y - (g1^3*t^6.28*y)/g2 - g1^17*g2*t^6.28*y - (t^6.49*y)/g1^4 + (t^7.26*y)/(g1^5*g2) + g1^9*g2*t^7.26*y + (t^7.46*y)/g1^12 + (g1^15*t^7.82*y)/g2 + g1^29*g2*t^7.82*y + 4*g1^8*t^8.03*y + (t^8.03*y)/(g1^6*g2^2) + g1^22*g2^2*t^8.03*y + (2*t^8.23*y)/(g1^13*g2) + 2*g1*g2*t^8.23*y - g1^18*t^8.31*y - (g1^4*t^8.31*y)/g2^2 - g1^32*g2^2*t^8.31*y + (g1^7*t^8.79*y)/g2 + g1^21*g2*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 1603 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_2$ + $ M_3^2$ | 0.7188 | 0.8974 | 0.801 | [X:[], M:[1.0, 1.1429, 1.0, 1.0, 0.7143, 0.7143, 0.7143], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | 3*t^2.14 + 3*t^3. + t^3.43 + 12*t^4.29 + 9*t^5.14 + 3*t^5.57 - 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 3945/5488, c: 4925/5488, M1: 1, M2: 8/7, M3: 1, M4: 1, M5: 5/7, M6: 5/7, M7: 5/7, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 645 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ | 0.7022 | 0.8636 | 0.8131 | [X:[], M:[0.9986, 1.1618, 0.9336, 1.0014, 0.7428, 0.6749], q:[0.7905, 0.5347], qb:[0.4668, 0.5318], phi:[0.4191]] | t^2.02 + t^2.23 + t^2.8 + 2*t^3. + t^3.49 + t^3.97 + t^4.05 + t^4.06 + 2*t^4.25 + t^4.26 + t^4.45 + 2*t^4.46 + t^4.47 + t^4.83 + t^5.02 + 2*t^5.03 + t^5.22 + t^5.23 + t^5.51 + t^5.6 + t^5.71 + t^5.99 - 2*t^6. - t^4.26/y - t^4.26*y | detail |