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 |
|---|---|---|---|---|---|---|---|---|---|
| 4678 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ + $ M_5M_6$ + $ M_4M_7$ + $ M_8\phi_1q_2^2$ | 0.7257 | 0.9094 | 0.798 | [X:[], M:[1.0, 0.9386, 0.8772, 1.0614, 1.0307, 0.9693, 0.9386, 0.6689], q:[0.5768, 0.4232], qb:[0.5461, 0.5154], phi:[0.4846]] | [X:[], M:[[0], [-4], [-8], [4], [2], [-2], [-4], [11]], q:[[5], [-5]], qb:[[3], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_3$, $ M_2$, $ M_7$, $ M_6$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_8^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_8$, $ M_7M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_6M_8$, $ M_8\phi_1^2$, $ \phi_1q_1^2$, $ M_1M_8$, $ M_3^2$, $ M_8q_1\tilde{q}_2$, $ M_2M_3$, $ M_3M_7$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_2^2$, $ M_1M_3$, $ M_2M_7$, $ M_7^2$, $ M_2M_6$, $ M_6M_7$, $ M_2\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_2$, $ M_6^2$, $ M_1M_7$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_3q_1\tilde{q}_2$ | . | -3 | t^2.01 + t^2.63 + 2*t^2.82 + 2*t^2.91 + t^3. + t^3.28 + t^4.01 + t^4.27 + t^4.36 + t^4.45 + t^4.55 + 2*t^4.64 + 2*t^4.73 + 3*t^4.82 + 3*t^4.91 + t^5.01 + t^5.26 + t^5.28 + 2*t^5.45 + t^5.54 + 3*t^5.63 + 3*t^5.72 + 4*t^5.82 + t^5.91 - 3*t^6. + t^6.02 + t^6.28 + 2*t^6.55 + 2*t^6.64 + 2*t^6.74 + 3*t^6.83 + t^6.9 + 3*t^6.92 + t^7.01 + t^7.09 + 3*t^7.18 + 5*t^7.27 + t^7.29 + 3*t^7.36 + 3*t^7.45 + 5*t^7.55 + 6*t^7.64 + 6*t^7.73 + 4*t^7.82 + t^7.89 - 3*t^8.01 + t^8.03 + 2*t^8.08 + t^8.17 + t^8.19 + 3*t^8.26 + t^8.28 + t^8.36 + 4*t^8.45 + 3*t^8.54 + 2*t^8.56 + 2*t^8.63 + 2*t^8.65 + 4*t^8.72 + 2*t^8.74 - 6*t^8.82 + 3*t^8.84 - 5*t^8.91 + 3*t^8.93 - t^4.45/y - t^6.46/y - t^7.09/y - t^7.27/y - t^7.36/y + t^7.55/y + (2*t^7.64)/y + (3*t^7.82)/y + (2*t^7.91)/y + t^8.01/y + t^8.28/y + (3*t^8.45)/y - t^8.47/y + (2*t^8.54)/y + (2*t^8.63)/y + (4*t^8.72)/y + (3*t^8.82)/y + (3*t^8.91)/y - t^4.45*y - t^6.46*y - t^7.09*y - t^7.27*y - t^7.36*y + t^7.55*y + 2*t^7.64*y + 3*t^7.82*y + 2*t^7.91*y + t^8.01*y + t^8.28*y + 3*t^8.45*y - t^8.47*y + 2*t^8.54*y + 2*t^8.63*y + 4*t^8.72*y + 3*t^8.82*y + 3*t^8.91*y | g1^11*t^2.01 + t^2.63/g1^8 + (2*t^2.82)/g1^4 + (2*t^2.91)/g1^2 + t^3. + g1^6*t^3.28 + g1^22*t^4.01 + t^4.27/g1^5 + t^4.36/g1^3 + t^4.45/g1 + g1*t^4.55 + 2*g1^3*t^4.64 + 2*g1^5*t^4.73 + 3*g1^7*t^4.82 + 3*g1^9*t^4.91 + g1^11*t^5.01 + t^5.26/g1^16 + g1^17*t^5.28 + (2*t^5.45)/g1^12 + t^5.54/g1^10 + (3*t^5.63)/g1^8 + (3*t^5.72)/g1^6 + (4*t^5.82)/g1^4 + t^5.91/g1^2 - 3*t^6. + g1^33*t^6.02 + g1^6*t^6.28 + 2*g1^12*t^6.55 + 2*g1^14*t^6.64 + 2*g1^16*t^6.74 + 3*g1^18*t^6.83 + t^6.9/g1^13 + 3*g1^20*t^6.92 + g1^22*t^7.01 + t^7.09/g1^9 + (3*t^7.18)/g1^7 + (5*t^7.27)/g1^5 + g1^28*t^7.29 + (3*t^7.36)/g1^3 + (3*t^7.45)/g1 + 5*g1*t^7.55 + 6*g1^3*t^7.64 + 6*g1^5*t^7.73 + 4*g1^7*t^7.82 + t^7.89/g1^24 - 3*g1^11*t^8.01 + g1^44*t^8.03 + (2*t^8.08)/g1^20 + t^8.17/g1^18 + g1^15*t^8.19 + (3*t^8.26)/g1^16 + g1^17*t^8.28 + t^8.36/g1^14 + (4*t^8.45)/g1^12 + (3*t^8.54)/g1^10 + 2*g1^23*t^8.56 + (2*t^8.63)/g1^8 + 2*g1^25*t^8.65 + (4*t^8.72)/g1^6 + 2*g1^27*t^8.74 - (6*t^8.82)/g1^4 + 3*g1^29*t^8.84 - (5*t^8.91)/g1^2 + 3*g1^31*t^8.93 - t^4.45/(g1*y) - (g1^10*t^6.46)/y - t^7.09/(g1^9*y) - t^7.27/(g1^5*y) - t^7.36/(g1^3*y) + (g1*t^7.55)/y + (2*g1^3*t^7.64)/y + (3*g1^7*t^7.82)/y + (2*g1^9*t^7.91)/y + (g1^11*t^8.01)/y + (g1^17*t^8.28)/y + (3*t^8.45)/(g1^12*y) - (g1^21*t^8.47)/y + (2*t^8.54)/(g1^10*y) + (2*t^8.63)/(g1^8*y) + (4*t^8.72)/(g1^6*y) + (3*t^8.82)/(g1^4*y) + (3*t^8.91)/(g1^2*y) - (t^4.45*y)/g1 - g1^10*t^6.46*y - (t^7.09*y)/g1^9 - (t^7.27*y)/g1^5 - (t^7.36*y)/g1^3 + g1*t^7.55*y + 2*g1^3*t^7.64*y + 3*g1^7*t^7.82*y + 2*g1^9*t^7.91*y + g1^11*t^8.01*y + g1^17*t^8.28*y + (3*t^8.45*y)/g1^12 - g1^21*t^8.47*y + (2*t^8.54*y)/g1^10 + (2*t^8.63*y)/g1^8 + (4*t^8.72*y)/g1^6 + (3*t^8.82*y)/g1^4 + (3*t^8.91*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6246 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ + $ M_5M_6$ + $ M_4M_7$ + $ M_8\phi_1q_2^2$ + $ M_8q_1\tilde{q}_2$ | 0.7081 | 0.8882 | 0.7972 | [X:[], M:[1.0, 0.8824, 0.7647, 1.1176, 1.0588, 0.9412, 0.8824, 0.8235], q:[0.6471, 0.3529], qb:[0.5882, 0.5294], phi:[0.4706]] | t^2.29 + t^2.47 + 2*t^2.65 + 2*t^2.82 + t^3. + t^3.53 + t^4.06 + t^4.24 + t^4.41 + 2*t^4.59 + 2*t^4.76 + 5*t^4.94 + 4*t^5.12 + 6*t^5.29 + 4*t^5.47 + 4*t^5.65 + t^5.82 - 2*t^6. - t^4.41/y - t^4.41*y | detail | {a: 27831/39304, c: 69823/78608, M1: 1, M2: 15/17, M3: 13/17, M4: 19/17, M5: 18/17, M6: 16/17, M7: 15/17, M8: 14/17, q1: 11/17, q2: 6/17, qb1: 10/17, qb2: 9/17, phi1: 8/17} |
| 6242 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ + $ M_5M_6$ + $ M_4M_7$ + $ M_8\phi_1q_2^2$ + $ M_8^2$ + $ M_3X_1$ | 0.6276 | 0.781 | 0.8036 | [X:[1.3636], M:[1.0, 0.8182, 0.6364, 1.1818, 1.0909, 0.9091, 0.8182, 1.0], q:[0.7273, 0.2727], qb:[0.6364, 0.5455], phi:[0.4545]] | 2*t^2.45 + 2*t^2.73 + 2*t^3. + 2*t^3.82 + 2*t^4.09 + t^4.36 + 3*t^4.91 + 5*t^5.18 + 7*t^5.45 + 3*t^5.73 - 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 1215/1936, c: 189/242, X1: 15/11, M1: 1, M2: 9/11, M3: 7/11, M4: 13/11, M5: 12/11, M6: 10/11, M7: 9/11, M8: 1, q1: 8/11, q2: 3/11, qb1: 7/11, qb2: 6/11, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2595 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ + $ M_5M_6$ + $ M_4M_7$ | 0.7049 | 0.8679 | 0.8122 | [X:[], M:[1.0, 0.9381, 0.8763, 1.0619, 1.0309, 0.9691, 0.9381], q:[0.5773, 0.4227], qb:[0.5464, 0.5155], phi:[0.4845]] | t^2.63 + 2*t^2.81 + 2*t^2.91 + t^3. + t^3.28 + t^3.99 + t^4.27 + t^4.36 + t^4.45 + t^4.55 + t^4.64 + 2*t^4.73 + t^4.82 + t^4.92 + t^5.26 + 2*t^5.44 + t^5.54 + 3*t^5.63 + 3*t^5.72 + 4*t^5.81 + t^5.91 - 3*t^6. - t^4.45/y - t^4.45*y | detail |