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 |
|---|---|---|---|---|---|---|---|---|---|
| 3363 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6219 | 0.784 | 0.7932 | [X:[1.3657], M:[0.6343, 1.1219, 0.7968, 1.0406, 0.9594, 0.6828], q:[0.7805, 0.5852], qb:[0.618, 0.2602], phi:[0.4391]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [18]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ M_5$, $ M_4$, $ M_2$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ X_1$, $ q_1\tilde{q}_1$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_6\phi_1^2$, $ M_3^2$, $ \phi_1q_2^2$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_6$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_5$, $ \phi_1^4$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_3M_4$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_2M_3$, $ M_5^2$, $ M_4\phi_1^2$, $ M_6\phi_1q_2\tilde{q}_2$ | . | -1 | t^2.05 + t^2.39 + t^2.54 + t^2.63 + t^2.88 + t^3.12 + t^3.37 + t^3.85 + 2*t^4.1 + t^4.2 + t^4.44 + t^4.58 + t^4.68 + t^4.78 + t^4.83 + 2*t^4.93 + t^5.02 + t^5.07 + 2*t^5.17 + 2*t^5.27 + 2*t^5.41 + 2*t^5.51 + t^5.66 + 2*t^5.76 + t^5.9 - t^6. - t^6.1 + 2*t^6.15 + 2*t^6.24 - t^6.34 + t^6.39 + 2*t^6.49 + 2*t^6.63 + 3*t^6.73 + t^6.83 + t^6.88 + 2*t^6.98 + t^7.12 + t^7.17 + 3*t^7.22 + t^7.32 + t^7.36 + 4*t^7.46 + 2*t^7.56 + t^7.61 + 2*t^7.66 + 3*t^7.71 + 2*t^7.8 + 2*t^7.9 + 3*t^7.95 + t^8.15 + 4*t^8.19 + 3*t^8.29 - t^8.39 + t^8.44 - t^8.63 + 3*t^8.68 - 2*t^8.73 + 2*t^8.78 - 2*t^8.88 + 3*t^8.93 - t^8.98 - t^4.32/y - t^6.37/y - t^6.71/y + t^7.44/y + t^7.58/y + t^7.68/y + (3*t^7.93)/y + t^8.02/y + (2*t^8.17)/y + (2*t^8.27)/y + t^8.41/y + (2*t^8.51)/y + t^8.66/y + t^8.76/y + (2*t^8.9)/y - t^4.32*y - t^6.37*y - t^6.71*y + t^7.44*y + t^7.58*y + t^7.68*y + 3*t^7.93*y + t^8.02*y + 2*t^8.17*y + 2*t^8.27*y + t^8.41*y + 2*t^8.51*y + t^8.66*y + t^8.76*y + 2*t^8.9*y | g1^18*t^2.05 + t^2.39/g1^20 + g1^34*t^2.54 + t^2.63/g1^12 + t^2.88/g1^4 + g1^4*t^3.12 + g1^12*t^3.37 + g1^28*t^3.85 + 2*g1^36*t^4.1 + t^4.2/g1^10 + t^4.44/g1^2 + g1^52*t^4.58 + g1^6*t^4.68 + t^4.78/g1^40 + g1^60*t^4.83 + 2*g1^14*t^4.93 + t^5.02/g1^32 + g1^68*t^5.07 + 2*g1^22*t^5.17 + (2*t^5.27)/g1^24 + 2*g1^30*t^5.41 + (2*t^5.51)/g1^16 + g1^38*t^5.66 + (2*t^5.76)/g1^8 + g1^46*t^5.9 - t^6. - t^6.1/g1^46 + 2*g1^54*t^6.15 + 2*g1^8*t^6.24 - t^6.34/g1^38 + g1^62*t^6.39 + 2*g1^16*t^6.49 + 2*g1^70*t^6.63 + 3*g1^24*t^6.73 + t^6.83/g1^22 + g1^78*t^6.88 + 2*g1^32*t^6.98 + g1^86*t^7.12 + t^7.17/g1^60 + 3*g1^40*t^7.22 + t^7.32/g1^6 + g1^94*t^7.36 + 4*g1^48*t^7.46 + 2*g1^2*t^7.56 + g1^102*t^7.61 + (2*t^7.66)/g1^44 + 3*g1^56*t^7.71 + 2*g1^10*t^7.8 + (2*t^7.9)/g1^36 + 3*g1^64*t^7.95 + t^8.15/g1^28 + 4*g1^72*t^8.19 + 3*g1^26*t^8.29 - t^8.39/g1^20 + g1^80*t^8.44 - t^8.63/g1^12 + 3*g1^88*t^8.68 - (2*t^8.73)/g1^58 + 2*g1^42*t^8.78 - (2*t^8.88)/g1^4 + 3*g1^96*t^8.93 - t^8.98/g1^50 - t^4.32/(g1^6*y) - (g1^12*t^6.37)/y - t^6.71/(g1^26*y) + t^7.44/(g1^2*y) + (g1^52*t^7.58)/y + (g1^6*t^7.68)/y + (3*g1^14*t^7.93)/y + t^8.02/(g1^32*y) + (2*g1^22*t^8.17)/y + (2*t^8.27)/(g1^24*y) + (g1^30*t^8.41)/y + (2*t^8.51)/(g1^16*y) + (g1^38*t^8.66)/y + t^8.76/(g1^8*y) + (2*g1^46*t^8.9)/y - (t^4.32*y)/g1^6 - g1^12*t^6.37*y - (t^6.71*y)/g1^26 + (t^7.44*y)/g1^2 + g1^52*t^7.58*y + g1^6*t^7.68*y + 3*g1^14*t^7.93*y + (t^8.02*y)/g1^32 + 2*g1^22*t^8.17*y + (2*t^8.27*y)/g1^24 + g1^30*t^8.41*y + (2*t^8.51*y)/g1^16 + g1^38*t^8.66*y + (t^8.76*y)/g1^8 + 2*g1^46*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 3823 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_7$ | 0.633 | 0.802 | 0.7894 | [X:[1.3821], M:[0.6179, 1.1274, 0.7877, 1.0425, 0.9575, 0.691, 0.8726], q:[0.7818, 0.6002], qb:[0.612, 0.2606], phi:[0.4363]] | t^2.07 + t^2.36 + t^2.58 + 2*t^2.62 + t^2.87 + t^3.13 + t^3.89 + 2*t^4.15 + t^4.18 + t^4.44 + t^4.66 + 2*t^4.69 + t^4.73 + t^4.91 + 2*t^4.95 + 2*t^4.98 + t^5.17 + 3*t^5.2 + 4*t^5.24 + t^5.46 + 3*t^5.49 + t^5.71 + 2*t^5.75 - 2*t^6. - t^4.31/y - t^4.31*y | detail | |
| 3830 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4M_6$ + $ M_3X_2$ | 0.4742 | 0.5764 | 0.8226 | [X:[1.8182, 1.4545], M:[0.1818, 1.2727, 0.5455, 1.0909, 0.9091, 0.9091], q:[0.8182, 1.0], qb:[0.4545, 0.2727], phi:[0.3636]] | t^2.18 + 2*t^2.73 + t^3.27 + 3*t^3.82 + t^4.36 + 2*t^4.91 + 2*t^5.45 + 2*t^6. - t^4.09/y - t^4.09*y | detail | {a: 459/968, c: 279/484, X1: 20/11, X2: 16/11, M1: 2/11, M2: 14/11, M3: 6/11, M4: 12/11, M5: 10/11, M6: 10/11, q1: 9/11, q2: 1, qb1: 5/11, qb2: 3/11, phi1: 4/11} |
| 3838 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4M_7$ | 0.6257 | 0.79 | 0.7921 | [X:[1.3719], M:[0.6281, 1.124, 0.7934, 1.0413, 0.9587, 0.686, 0.9587], q:[0.781, 0.5909], qb:[0.6157, 0.2603], phi:[0.438]] | t^2.06 + t^2.38 + t^2.55 + t^2.63 + 2*t^2.88 + t^3.37 + t^3.87 + 2*t^4.12 + t^4.19 + t^4.44 + t^4.61 + t^4.69 + t^4.76 + t^4.86 + 3*t^4.93 + t^5.01 + t^5.11 + t^5.18 + 3*t^5.26 + 3*t^5.43 + 2*t^5.5 + 3*t^5.75 + t^5.93 - 2*t^6. - t^4.31/y - t^4.31*y | detail | |
| 3836 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6214 | 0.7817 | 0.7949 | [X:[1.3913], M:[0.6087, 1.1304, 0.7826, 1.0435, 0.9565, 0.6957], q:[0.7826, 0.6087], qb:[0.6087, 0.2609], phi:[0.4348]] | t^2.09 + t^2.35 + 2*t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.91 + 3*t^4.17 + t^4.43 + 3*t^4.7 + 4*t^4.96 + 5*t^5.22 + 4*t^5.48 + 3*t^5.74 - t^6. - t^4.3/y - t^4.3*y | detail | {a: 120963/194672, c: 76087/97336, X1: 32/23, M1: 14/23, M2: 26/23, M3: 18/23, M4: 24/23, M5: 22/23, M6: 16/23, q1: 18/23, q2: 14/23, qb1: 14/23, qb2: 6/23, phi1: 10/23} |
| 3824 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6422 | 0.8219 | 0.7814 | [X:[1.376], M:[0.624, 1.1253, 0.7911, 1.0418, 0.9582, 0.688, 0.7076], q:[0.7813, 0.5946], qb:[0.6142, 0.2604], phi:[0.4373]] | t^2.06 + t^2.12 + t^2.37 + t^2.57 + t^2.62 + t^2.87 + t^3.13 + t^3.38 + 2*t^4.13 + 2*t^4.19 + t^4.25 + t^4.44 + t^4.5 + t^4.63 + 2*t^4.69 + 2*t^4.75 + t^4.88 + 2*t^4.94 + 2*t^5. + t^5.13 + 2*t^5.19 + 3*t^5.25 + 2*t^5.44 + 3*t^5.5 + t^5.69 + 2*t^5.75 - t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2827 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ | 0.6011 | 0.7433 | 0.8087 | [X:[1.3686], M:[0.6314, 1.1229, 0.7952, 1.041, 0.959], q:[0.7807, 0.5879], qb:[0.6169, 0.2602], phi:[0.4386]] | t^2.39 + t^2.54 + t^2.63 + t^2.88 + t^3.12 + t^3.37 + t^3.86 + t^3.95 + t^4.11 + t^4.19 + t^4.77 + t^4.84 + t^4.93 + t^5.02 + t^5.09 + t^5.18 + 2*t^5.26 + t^5.42 + 2*t^5.51 + t^5.67 + 2*t^5.75 - t^6. - t^4.32/y - t^4.32*y | detail |