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 |
|---|---|---|---|---|---|---|---|---|---|
| 3284 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ q_2\tilde{q}_2$ + $ M_4X_2$ + $ \phi_1^2X_3$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.4801 | 0.5664 | 0.8477 | [X:[1.8405, 1.6196, 1.4601], M:[1.0797, 0.1595, 0.9203, 0.3804, 0.6994, 0.8098], q:[0.5154, 1.2147], qb:[0.4049, 0.7853], phi:[0.2699]] | [X:[[16], [-12], [4]], M:[[-8], [-16], [8], [12], [-20], [-6]], q:[[11], [-9]], qb:[[-3], [9]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ M_3$, $ M_1$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_3$, $ M_5M_6$, $ M_3M_5$, $ M_6^2$, $ X_2$, $ M_3M_6$, $ q_1q_2$, $ M_1M_5$, $ M_3^2$, $ X_1$ | . | -1 | t^2.1 + t^2.43 + t^2.76 + t^3.24 + t^4.2 + t^4.38 + t^4.53 + 2*t^4.86 + t^5.19 + t^5.34 + t^5.52 - t^6. + t^6.29 - t^6.33 + t^6.48 + t^6.63 + 2*t^6.96 - t^7.14 + 2*t^7.29 + t^7.44 + 2*t^7.62 - t^8.1 + t^8.39 - 2*t^8.43 + t^8.58 + t^8.72 - 2*t^8.76 - 2*t^8.91 - t^8.91/y^2 - t^3.81/y - t^5.91/y - t^6.24/y + t^7.38/y + t^7.53/y + t^7.71/y + t^7.86/y - t^8.01/y + t^8.19/y - t^3.81*y - t^5.91*y - t^6.24*y + t^7.38*y + t^7.53*y + t^7.71*y + t^7.86*y - t^8.01*y + t^8.19*y - t^8.91*y^2 | t^2.1/g1^20 + t^2.43/g1^6 + g1^8*t^2.76 + t^3.24/g1^8 + t^4.2/g1^40 + g1^4*t^4.38 + t^4.53/g1^26 + (2*t^4.86)/g1^12 + g1^2*t^5.19 + t^5.34/g1^28 + g1^16*t^5.52 - t^6. + t^6.29/g1^60 - g1^14*t^6.33 + t^6.48/g1^16 + t^6.63/g1^46 + (2*t^6.96)/g1^32 - g1^12*t^7.14 + (2*t^7.29)/g1^18 + t^7.44/g1^48 + (2*t^7.62)/g1^4 - t^8.1/g1^20 + t^8.39/g1^80 - (2*t^8.43)/g1^6 + t^8.58/g1^36 + t^8.72/g1^66 - 2*g1^8*t^8.76 - (2*t^8.91)/g1^22 - t^8.91/(g1^22*y^2) - t^3.81/(g1^2*y) - t^5.91/(g1^22*y) - t^6.24/(g1^8*y) + (g1^4*t^7.38)/y + t^7.53/(g1^26*y) + (g1^18*t^7.71)/y + t^7.86/(g1^12*y) - t^8.01/(g1^42*y) + (g1^2*t^8.19)/y - (t^3.81*y)/g1^2 - (t^5.91*y)/g1^22 - (t^6.24*y)/g1^8 + g1^4*t^7.38*y + (t^7.53*y)/g1^26 + g1^18*t^7.71*y + (t^7.86*y)/g1^12 - (t^8.01*y)/g1^42 + g1^2*t^8.19*y - (t^8.91*y^2)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3722 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ q_2\tilde{q}_2$ + $ M_4X_2$ + $ \phi_1^2X_3$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_1M_5$ | 0.4674 | 0.5477 | 0.8533 | [X:[1.7143, 1.7143, 1.4286], M:[1.1429, 0.2857, 0.8571, 0.2857, 0.8571, 0.8571], q:[0.4286, 1.2857], qb:[0.4286, 0.7143], phi:[0.2857]] | 3*t^2.57 + t^3.43 + t^4.29 + 6*t^5.14 - t^6. - t^3.86/y - t^3.86*y | detail | {a: 2565/5488, c: 1503/2744, X1: 12/7, X2: 12/7, X3: 10/7, M1: 8/7, M2: 2/7, M3: 6/7, M4: 2/7, M5: 6/7, M6: 6/7, q1: 3/7, q2: 9/7, qb1: 3/7, qb2: 5/7, phi1: 2/7} |
| 3721 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ q_2\tilde{q}_2$ + $ M_4X_2$ + $ \phi_1^2X_3$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_5M_6$ | 0.4135 | 0.4856 | 0.8515 | [X:[1.5385, 1.8462, 1.3846], M:[1.2308, 0.4615, 0.7692, 0.1538, 1.0769, 0.9231], q:[0.3077, 1.3846], qb:[0.4615, 0.6154], phi:[0.3077]] | t^2.31 + t^2.77 + t^3.23 + t^3.69 + t^4.15 + t^4.62 + t^5.08 + t^5.54 - t^3.92/y - t^3.92*y | detail | {a: 14535/35152, c: 8535/17576, X1: 20/13, X2: 24/13, X3: 18/13, M1: 16/13, M2: 6/13, M3: 10/13, M4: 2/13, M5: 14/13, M6: 12/13, q1: 4/13, q2: 18/13, qb1: 6/13, qb2: 8/13, phi1: 4/13} |
| 3723 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ q_2\tilde{q}_2$ + $ M_4X_2$ + $ \phi_1^2X_3$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_5M_7$ | 0.4598 | 0.528 | 0.8708 | [X:[1.8165, 1.6376, 1.4541], M:[1.0918, 0.1835, 0.9082, 0.3624, 0.7294, 0.8188, 1.2706], q:[0.4988, 1.2282], qb:[0.4094, 0.7718], phi:[0.2729]] | t^2.46 + t^2.72 + t^3.28 + t^3.81 + t^4.36 + t^4.91 + t^5.18 + t^5.45 - t^6. - t^3.82/y - t^3.82*y | detail | |
| 3718 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ q_2\tilde{q}_2$ + $ M_4X_2$ + $ \phi_1^2X_3$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_5^2$ | 0.4365 | 0.5115 | 0.8534 | [X:[1.6, 1.8, 1.4], M:[1.2, 0.4, 0.8, 0.2, 1.0, 0.9], q:[0.35, 1.35], qb:[0.45, 0.65], phi:[0.3]] | t^2.4 + t^2.7 + t^3. + t^3.6 + t^4.2 + t^4.8 + t^5.1 + 2*t^5.4 - t^3.9/y - t^3.9*y | detail | {a: 873/2000, c: 1023/2000, X1: 8/5, X2: 9/5, X3: 7/5, M1: 6/5, M2: 2/5, M3: 4/5, M4: 1/5, M5: 1, M6: 9/10, q1: 7/20, q2: 27/20, qb1: 9/20, qb2: 13/20, phi1: 3/10} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2769 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ q_2\tilde{q}_2$ + $ M_4X_2$ + $ \phi_1^2X_3$ | 0.4644 | 0.5384 | 0.8625 | [X:[1.826, 1.6305, 1.4565], M:[1.087, 0.174, 0.913, 0.3695, 0.7175], q:[0.5054, 1.2229], qb:[0.4076, 0.7771], phi:[0.2718]] | t^2.15 + t^2.74 + t^3.26 + t^3.55 + t^4.31 + t^4.37 + t^4.89 + t^5.41 + t^5.48 - t^6. - t^3.82/y - t^5.97/y - t^3.82*y - t^5.97*y | detail |