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 |
|---|---|---|---|---|---|---|---|---|---|
| 52235 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ | 0.723 | 0.9046 | 0.7992 | [X:[], M:[0.6752, 0.6752, 1.0, 1.0, 1.1624, 0.9316, 0.7436], q:[0.7906, 0.5342], qb:[0.5342, 0.4658], phi:[0.4188]] | [X:[], M:[[1, 15], [-1, 1], [-1, -7], [1, 7], [0, -4], [0, 14], [0, -6]], q:[[0, -1], [-1, -14]], qb:[[1, 0], [0, 7]], phi:[[0, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_7$, $ M_6$, $ M_3$, $ M_4$, $ M_5$, $ M_2^2$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_2M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2M_6$, $ M_1M_6$, $ M_2M_3$, $ M_1M_3$, $ M_2M_4$, $ M_6M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_3M_7$, $ \phi_1q_1q_2$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_5$, $ M_1M_5$, $ M_6^2$, $ M_5M_7$ | $M_3^2$, $ 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 | (g2*t^2.03)/g1 + g1*g2^15*t^2.03 + t^2.23/g2^6 + g2^14*t^2.79 + t^3./(g1*g2^7) + g1*g2^7*t^3. + t^3.49/g2^4 + (g2^2*t^4.05)/g1^2 + 2*g2^16*t^4.05 + g1^2*g2^30*t^4.05 + (2*t^4.26)/(g1*g2^5) + 2*g1*g2^9*t^4.26 + t^4.46/(g1^2*g2^26) + (2*t^4.46)/g2^12 + g1^2*g2^2*t^4.46 + (g2^15*t^4.82)/g1 + g1*g2^29*t^4.82 + t^5.03/(g1^2*g2^6) + 3*g2^8*t^5.03 + g1^2*g2^22*t^5.03 + t^5.23/(g1*g2^13) + g1*g2*t^5.23 + t^5.51/(g1*g2^3) + g1*g2^11*t^5.51 + g2^28*t^5.59 + t^5.72/g2^10 - 2*t^6. + (g2^3*t^6.08)/g1^3 + (2*g2^17*t^6.08)/g1 + 2*g1*g2^31*t^6.08 + g1^3*g2^45*t^6.08 - t^6.21/(g1*g2^21) - (g1*t^6.21)/g2^7 + (2*t^6.28)/(g1^2*g2^4) + 4*g2^10*t^6.28 + 2*g1^2*g2^24*t^6.28 + t^6.49/(g1^3*g2^25) + (4*t^6.49)/(g1*g2^11) + 4*g1*g2^3*t^6.49 + g1^3*g2^17*t^6.49 + t^6.69/(g1^2*g2^32) + (2*t^6.69)/g2^18 + (g1^2*t^6.69)/g2^4 - t^6.77/(g1*g2) - g1*g2^13*t^6.77 + (g2^16*t^6.85)/g1^2 + 2*g2^30*t^6.85 + g1^2*g2^44*t^6.85 - t^6.97/g2^8 + t^7.05/(g1^3*g2^5) + (4*g2^9*t^7.05)/g1 + 4*g1*g2^23*t^7.05 + g1^3*g2^37*t^7.05 + (2*t^7.26)/(g1^2*g2^12) + 3*g2^2*t^7.26 + 2*g1^2*g2^16*t^7.26 + t^7.46/(g1^3*g2^33) + t^7.46/(g1*g2^19) + (g1*t^7.46)/g2^5 + g1^3*g2^9*t^7.46 + t^7.54/(g1^2*g2^2) + g2^12*t^7.54 + g1^2*g2^26*t^7.54 + (g2^29*t^7.62)/g1 + g1*g2^43*t^7.62 + t^7.74/(g1*g2^9) + g1*g2^5*t^7.74 + g2^22*t^7.82 + t^7.95/g2^16 - (3*g2*t^8.03)/g1 - 3*g1*g2^15*t^8.03 + (g2^4*t^8.1)/g1^4 + (2*g2^18*t^8.1)/g1^2 + 3*g2^32*t^8.1 + 2*g1^2*g2^46*t^8.1 + g1^4*g2^60*t^8.1 - (2*t^8.23)/(g1^2*g2^20) - (6*t^8.23)/g2^6 - 2*g1^2*g2^8*t^8.23 + (2*t^8.31)/(g1^3*g2^3) + (5*g2^11*t^8.31)/g1 + 5*g1*g2^25*t^8.31 + 2*g1^3*g2^39*t^8.31 + g2^42*t^8.38 - (2*t^8.44)/(g1*g2^27) - (2*g1*t^8.44)/g2^13 + t^8.51/(g1^4*g2^24) + (5*t^8.51)/(g1^2*g2^10) + 7*g2^4*t^8.51 + 5*g1^2*g2^18*t^8.51 + g1^4*g2^32*t^8.51 + (2*t^8.72)/(g1^3*g2^31) + (4*t^8.72)/(g1*g2^17) + (4*g1*t^8.72)/g2^3 + 2*g1^3*g2^11*t^8.72 - t^8.79/g1^2 - 5*g2^14*t^8.79 - g1^2*g2^28*t^8.79 + (g2^17*t^8.87)/g1^3 + (2*g2^31*t^8.87)/g1 + 2*g1*g2^45*t^8.87 + g1^3*g2^59*t^8.87 + t^8.92/(g1^4*g2^52) + (2*t^8.92)/(g1^2*g2^38) + (3*t^8.92)/g2^24 + (2*g1^2*t^8.92)/g2^10 + g1^4*g2^4*t^8.92 - (g2^2*t^4.26)/y - (g2^3*t^6.28)/(g1*y) - (g1*g2^17*t^6.28)/y - t^6.49/(g2^4*y) + t^7.26/(g1*g2^5*y) + (g1*g2^9*t^7.26)/y + t^7.46/(g2^12*y) + (g2^15*t^7.82)/(g1*y) + (g1*g2^29*t^7.82)/y + t^8.03/(g1^2*g2^6*y) + (4*g2^8*t^8.03)/y + (g1^2*g2^22*t^8.03)/y + (2*t^8.23)/(g1*g2^13*y) + (2*g1*g2*t^8.23)/y - (g2^4*t^8.31)/(g1^2*y) - (g2^18*t^8.31)/y - (g1^2*g2^32*t^8.31)/y + (g2^7*t^8.79)/(g1*y) + (g1*g2^21*t^8.79)/y - g2^2*t^4.26*y - (g2^3*t^6.28*y)/g1 - g1*g2^17*t^6.28*y - (t^6.49*y)/g2^4 + (t^7.26*y)/(g1*g2^5) + g1*g2^9*t^7.26*y + (t^7.46*y)/g2^12 + (g2^15*t^7.82*y)/g1 + g1*g2^29*t^7.82*y + (t^8.03*y)/(g1^2*g2^6) + 4*g2^8*t^8.03*y + g1^2*g2^22*t^8.03*y + (2*t^8.23*y)/(g1*g2^13) + 2*g1*g2*t^8.23*y - (g2^4*t^8.31*y)/g1^2 - g2^18*t^8.31*y - g1^2*g2^32*t^8.31*y + (g2^7*t^8.79*y)/g1 + g1*g2^21*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 |
|---|---|---|---|---|---|---|---|---|
| 56353 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ + $ M_6^2$ | 0.7188 | 0.8974 | 0.801 | [X:[], M:[0.7143, 0.7143, 1.0, 1.0, 1.1429, 1.0, 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: 5/7, M2: 5/7, M3: 1, M4: 1, M5: 8/7, M6: 1, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 48290 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.7038 | 0.8701 | 0.8089 | [X:[], M:[0.6699, 0.6699, 1.0, 1.0, 1.165, 0.9223], q:[0.7913, 0.5388], qb:[0.5388, 0.4612], phi:[0.4175]] | 2*t^2.01 + t^2.77 + 2*t^3. + t^3.5 + t^3.76 + 4*t^4.02 + 2*t^4.25 + 3*t^4.49 + 2*t^4.78 + 4*t^5.01 + 2*t^5.5 + t^5.53 + 2*t^5.77 - 2*t^6. - t^4.25/y - t^4.25*y | detail |