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 |
|---|---|---|---|---|---|---|---|---|---|
| 55251 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1^2$ + $ M_2M_3$ + $ M_7\phi_1q_1^2$ | 0.7332 | 0.912 | 0.804 | [X:[], M:[1.0, 1.0, 1.0, 1.0699, 0.8602, 0.8602, 0.6748], q:[0.4301, 0.5699], qb:[0.5699, 0.5699], phi:[0.465]] | [X:[], M:[[0, 0], [-2, 2], [2, -2], [2, 2], [-2, -6], [-6, -2], [5, 5]], q:[[-2, -2], [2, 2]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_5$, $ M_6$, $ M_1$, $ M_2$, $ M_3$, $ M_3$, $ M_2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_7$, $ M_6M_7$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_7$, $ M_1M_7$, $ M_2M_7$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_4M_7$, $ M_7\tilde{q}_1\tilde{q}_2$, $ M_2M_6$, $ M_3M_5$, $ M_2M_5$, $ M_3M_6$, $ M_4M_6$, $ M_4M_5$ | $M_1M_2$, $ M_2^2$, $ M_1M_3$, $ M_3^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$ | -2 | t^2.02 + 2*t^2.58 + 3*t^3. + t^3.21 + t^3.42 + t^4.05 + 3*t^4.4 + 2*t^4.6 + 6*t^4.81 + 3*t^5.02 + 3*t^5.16 + t^5.23 + t^5.44 + 3*t^5.58 + 2*t^5.79 - 2*t^6. + t^6.07 + 3*t^6.21 + 3*t^6.42 + 3*t^6.63 + 7*t^6.84 + 3*t^6.98 + 3*t^7.05 + 2*t^7.19 + t^7.26 + 9*t^7.4 + t^7.47 + 3*t^7.6 + 4*t^7.74 + 11*t^7.81 - 2*t^8.02 + t^8.1 + 3*t^8.16 + 6*t^8.23 + 3*t^8.37 + 3*t^8.44 - 8*t^8.58 + 3*t^8.65 + 3*t^8.79 + 7*t^8.86 - t^4.4/y - t^6.42/y - (2*t^6.98)/y + (2*t^7.6)/y + (2*t^7.81)/y + (3*t^8.02)/y + t^8.16/y + t^8.23/y + t^8.37/y + (6*t^8.58)/y + (2*t^8.79)/y - t^4.4*y - t^6.42*y - 2*t^6.98*y + 2*t^7.6*y + 2*t^7.81*y + 3*t^8.02*y + t^8.16*y + t^8.23*y + t^8.37*y + 6*t^8.58*y + 2*t^8.79*y | g1^5*g2^5*t^2.02 + t^2.58/(g1^2*g2^6) + t^2.58/(g1^6*g2^2) + t^3. + (g1^2*t^3.)/g2^2 + (g2^2*t^3.)/g1^2 + g1^2*g2^2*t^3.21 + g1^4*g2^4*t^3.42 + g1^10*g2^10*t^4.05 + (g1*t^4.4)/g2^3 + t^4.4/(g1*g2) + (g2*t^4.4)/g1^3 + (g1^3*t^4.6)/g2 + (g2^3*t^4.6)/g1 + (g1^7*t^4.81)/g2 + g1^5*g2*t^4.81 + 2*g1^3*g2^3*t^4.81 + g1*g2^5*t^4.81 + (g2^7*t^4.81)/g1 + g1^7*g2^3*t^5.02 + g1^5*g2^5*t^5.02 + g1^3*g2^7*t^5.02 + t^5.16/(g1^4*g2^12) + t^5.16/(g1^8*g2^8) + t^5.16/(g1^12*g2^4) + g1^7*g2^7*t^5.23 + g1^9*g2^9*t^5.44 + t^5.58/g1^8 + t^5.58/g2^8 + t^5.58/(g1^4*g2^4) + t^5.79/g1^4 + t^5.79/g2^4 - 2*t^6. + g1^15*g2^15*t^6.07 + g1^4*t^6.21 + g1^2*g2^2*t^6.21 + g2^4*t^6.21 + g1^6*g2^2*t^6.42 + g1^4*g2^4*t^6.42 + g1^2*g2^6*t^6.42 + g1^8*g2^4*t^6.63 + g1^6*g2^6*t^6.63 + g1^4*g2^8*t^6.63 + g1^12*g2^4*t^6.84 + g1^10*g2^6*t^6.84 + 3*g1^8*g2^8*t^6.84 + g1^6*g2^10*t^6.84 + g1^4*g2^12*t^6.84 + t^6.98/(g1*g2^9) + t^6.98/(g1^5*g2^5) + t^6.98/(g1^9*g2) + g1^12*g2^8*t^7.05 + g1^10*g2^10*t^7.05 + g1^8*g2^12*t^7.05 + (g1*t^7.19)/g2^7 + (g2*t^7.19)/g1^7 + g1^12*g2^12*t^7.26 + (g1^5*t^7.4)/g2^7 + (g1^3*t^7.4)/g2^5 + (2*g1*t^7.4)/g2^3 + t^7.4/(g1*g2) + (2*g2*t^7.4)/g1^3 + (g2^3*t^7.4)/g1^5 + (g2^5*t^7.4)/g1^7 + g1^14*g2^14*t^7.47 + (g1^5*t^7.6)/g2^3 + g1*g2*t^7.6 + (g2^5*t^7.6)/g1^3 + t^7.74/(g1^6*g2^18) + t^7.74/(g1^10*g2^14) + t^7.74/(g1^14*g2^10) + t^7.74/(g1^18*g2^6) + (g1^9*t^7.81)/g2^3 + (g1^7*t^7.81)/g2 + 3*g1^5*g2*t^7.81 + g1^3*g2^3*t^7.81 + 3*g1*g2^5*t^7.81 + (g2^7*t^7.81)/g1 + (g2^9*t^7.81)/g1^3 - 2*g1^5*g2^5*t^8.02 + g1^20*g2^20*t^8.1 + t^8.16/(g1^2*g2^14) + t^8.16/(g1^6*g2^10) - t^8.16/(g1^8*g2^8) + t^8.16/(g1^10*g2^6) + t^8.16/(g1^14*g2^2) + g1^11*g2^3*t^8.23 + g1^9*g2^5*t^8.23 + 2*g1^7*g2^7*t^8.23 + g1^5*g2^9*t^8.23 + g1^3*g2^11*t^8.23 + t^8.37/(g1^2*g2^10) + t^8.37/(g1^6*g2^6) + t^8.37/(g1^10*g2^2) + g1^11*g2^7*t^8.44 + g1^9*g2^9*t^8.44 + g1^7*g2^11*t^8.44 - (3*t^8.58)/(g1^2*g2^6) - (2*t^8.58)/(g1^4*g2^4) - (3*t^8.58)/(g1^6*g2^2) + g1^13*g2^9*t^8.65 + g1^11*g2^11*t^8.65 + g1^9*g2^13*t^8.65 + (g1^2*t^8.79)/g2^6 + t^8.79/(g1^2*g2^2) + (g2^2*t^8.79)/g1^6 + g1^17*g2^9*t^8.86 + g1^15*g2^11*t^8.86 + 3*g1^13*g2^13*t^8.86 + g1^11*g2^15*t^8.86 + g1^9*g2^17*t^8.86 - t^4.4/(g1*g2*y) - (g1^4*g2^4*t^6.42)/y - t^6.98/(g1^3*g2^7*y) - t^6.98/(g1^7*g2^3*y) + (g1^3*t^7.6)/(g2*y) + (g2^3*t^7.6)/(g1*y) + (g1^5*g2*t^7.81)/y + (g1*g2^5*t^7.81)/y + (g1^7*g2^3*t^8.02)/y + (g1^5*g2^5*t^8.02)/y + (g1^3*g2^7*t^8.02)/y + t^8.16/(g1^8*g2^8*y) + (g1^7*g2^7*t^8.23)/y + t^8.37/(g1^6*g2^6*y) + t^8.58/(g1^8*y) + t^8.58/(g2^8*y) + t^8.58/(g1^2*g2^6*y) + (2*t^8.58)/(g1^4*g2^4*y) + t^8.58/(g1^6*g2^2*y) + t^8.79/(g1^4*y) + t^8.79/(g2^4*y) - (t^4.4*y)/(g1*g2) - g1^4*g2^4*t^6.42*y - (t^6.98*y)/(g1^3*g2^7) - (t^6.98*y)/(g1^7*g2^3) + (g1^3*t^7.6*y)/g2 + (g2^3*t^7.6*y)/g1 + g1^5*g2*t^7.81*y + g1*g2^5*t^7.81*y + g1^7*g2^3*t^8.02*y + g1^5*g2^5*t^8.02*y + g1^3*g2^7*t^8.02*y + (t^8.16*y)/(g1^8*g2^8) + g1^7*g2^7*t^8.23*y + (t^8.37*y)/(g1^6*g2^6) + (t^8.58*y)/g1^8 + (t^8.58*y)/g2^8 + (t^8.58*y)/(g1^2*g2^6) + (2*t^8.58*y)/(g1^4*g2^4) + (t^8.58*y)/(g1^6*g2^2) + (t^8.79*y)/g1^4 + (t^8.79*y)/g2^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56895 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1^2$ + $ M_2M_3$ + $ M_7\phi_1q_1^2$ + $ M_4M_7$ | 0.7013 | 0.871 | 0.8052 | [X:[], M:[1.0, 1.0, 1.0, 1.1429, 0.7143, 0.7143, 0.8571], q:[0.3571, 0.6429], qb:[0.6429, 0.6429], phi:[0.4286]] | 2*t^2.14 + t^2.57 + 3*t^3. + t^3.43 + t^3.86 + 6*t^4.29 + 2*t^4.71 + 10*t^5.14 + 5*t^5.57 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 3849/5488, c: 1195/1372, M1: 1, M2: 1, M3: 1, M4: 8/7, M5: 5/7, M6: 5/7, M7: 6/7, q1: 5/14, q2: 9/14, qb1: 9/14, qb2: 9/14, phi1: 3/7} |
| 56896 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1^2$ + $ M_2M_3$ + $ M_7\phi_1q_1^2$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.723 | 0.8966 | 0.8064 | [X:[], M:[1.0, 1.0, 1.0, 1.1111, 0.7778, 0.7778, 0.7778], q:[0.3889, 0.6111], qb:[0.6111, 0.6111], phi:[0.4444]] | 3*t^2.33 + 3*t^3. + t^3.33 + t^3.67 + 3*t^4.33 + 6*t^4.67 + 6*t^5. + 6*t^5.33 + 3*t^5.67 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 937/1296, c: 581/648, M1: 1, M2: 1, M3: 1, M4: 10/9, M5: 7/9, M6: 7/9, M7: 7/9, q1: 7/18, q2: 11/18, qb1: 11/18, qb2: 11/18, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47015 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1^2$ + $ M_2M_3$ | 0.7124 | 0.8709 | 0.818 | [X:[], M:[1.0, 1.0, 1.0, 1.0712, 0.8576, 0.8576], q:[0.4288, 0.5712], qb:[0.5712, 0.5712], phi:[0.4644]] | 2*t^2.57 + 3*t^3. + t^3.21 + t^3.43 + t^3.97 + 3*t^4.39 + 6*t^4.82 + 3*t^5.15 + 3*t^5.57 + 2*t^5.79 - 2*t^6. - t^4.39/y - t^4.39*y | detail |