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 |
|---|---|---|---|---|---|---|---|---|---|
| 5113 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_3X_1$ + $ M_6\phi_1q_1^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_2M_8$ | 0.6866 | 0.8741 | 0.7855 | [X:[1.5091], M:[0.852, 1.213, 0.4909, 0.787, 0.852, 0.852, 0.787, 0.787], q:[0.361, 0.787], qb:[0.426, 0.7221], phi:[0.426]] | [X:[[7]], M:[[-4], [-1], [-7], [1], [-4], [-4], [1], [1]], q:[[3], [1]], qb:[[-2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_8$, $ M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_4M_8$, $ M_7M_8$, $ M_8^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_5$, $ M_4M_6$, $ M_1M_7$, $ M_5M_7$, $ M_6M_7$, $ M_1M_8$, $ M_5M_8$, $ M_6M_8$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ M_8\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_6$, $ M_5M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_4q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_8q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$ | . | -4 | 3*t^2.36 + 4*t^2.56 + t^3.25 + t^3.83 + 2*t^4.53 + 7*t^4.72 + 11*t^4.92 + 9*t^5.11 + 4*t^5.61 + 3*t^5.81 - 4*t^6. - t^6.19 + 3*t^6.39 + t^6.5 + 2*t^6.89 + 15*t^7.08 + 19*t^7.28 + 22*t^7.47 + 18*t^7.67 + 2*t^7.78 + 7*t^7.97 + 6*t^8.17 - 9*t^8.36 - 18*t^8.56 - 5*t^8.75 + 4*t^8.86 + 5*t^8.95 - t^4.28/y - (2*t^6.64)/y - (4*t^6.83)/y + (7*t^7.72)/y + (14*t^7.92)/y + (6*t^8.11)/y + (3*t^8.61)/y + (4*t^8.81)/y - t^4.28*y - 2*t^6.64*y - 4*t^6.83*y + 7*t^7.72*y + 14*t^7.92*y + 6*t^8.11*y + 3*t^8.61*y + 4*t^8.81*y | 3*g1*t^2.36 + (4*t^2.56)/g1^4 + g1^9*t^3.25 + t^3.83/g1^6 + 2*g1^7*t^4.53 + 7*g1^2*t^4.72 + (11*t^4.92)/g1^3 + (9*t^5.11)/g1^8 + 4*g1^10*t^5.61 + 3*g1^5*t^5.81 - 4*t^6. - t^6.19/g1^5 + (3*t^6.39)/g1^10 + g1^18*t^6.5 + 2*g1^8*t^6.89 + 15*g1^3*t^7.08 + (19*t^7.28)/g1^2 + (22*t^7.47)/g1^7 + (18*t^7.67)/g1^12 + 2*g1^16*t^7.78 + 7*g1^11*t^7.97 + 6*g1^6*t^8.17 - 9*g1*t^8.36 - (18*t^8.56)/g1^4 - (5*t^8.75)/g1^9 + 4*g1^19*t^8.86 + (5*t^8.95)/g1^14 - t^4.28/(g1^2*y) - (2*t^6.64)/(g1*y) - (4*t^6.83)/(g1^6*y) + (7*g1^2*t^7.72)/y + (14*t^7.92)/(g1^3*y) + (6*t^8.11)/(g1^8*y) + (3*g1^10*t^8.61)/y + (4*g1^5*t^8.81)/y - (t^4.28*y)/g1^2 - (2*t^6.64*y)/g1 - (4*t^6.83*y)/g1^6 + 7*g1^2*t^7.72*y + (14*t^7.92*y)/g1^3 + (6*t^8.11*y)/g1^8 + 3*g1^10*t^8.61*y + 4*g1^5*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 6690 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_3X_1$ + $ M_6\phi_1q_1^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_2M_8$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.7068 | 0.9122 | 0.7747 | [X:[1.4975], M:[0.8586, 1.2146, 0.5025, 0.7854, 0.8586, 0.8586, 0.7854, 0.7854, 0.7121], q:[0.3561, 0.7854], qb:[0.4293, 0.7121], phi:[0.4293]] | t^2.14 + 3*t^2.36 + 4*t^2.58 + t^3.2 + t^4.27 + 5*t^4.49 + 11*t^4.71 + 11*t^4.93 + 9*t^5.15 + t^5.34 + 4*t^5.56 + 3*t^5.78 - 4*t^6. - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3439 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_3X_1$ + $ M_6\phi_1q_1^2$ + $ M_7\phi_1q_1\tilde{q}_1$ | 0.6694 | 0.8436 | 0.7935 | [X:[1.5136], M:[0.8494, 1.2123, 0.4864, 0.7877, 0.8494, 0.8494, 0.7877], q:[0.363, 0.7877], qb:[0.4247, 0.726], phi:[0.4247]] | 2*t^2.36 + 4*t^2.55 + t^3.27 + t^3.64 + t^3.82 + 2*t^4.54 + 4*t^4.73 + 7*t^4.91 + 9*t^5.1 + 3*t^5.63 + 3*t^5.81 - 2*t^6. - t^4.27/y - t^4.27*y | detail |