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 |
|---|---|---|---|---|---|---|---|---|---|
| 676 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ | 0.6252 | 0.7769 | 0.8047 | [X:[], M:[1.0648, 1.1451, 0.7824, 0.7176, 1.0], q:[0.7863, 0.2863], qb:[0.6489, 0.5687], phi:[0.4275]] | [X:[], M:[[12], [-4], [6], [-6], [0]], q:[[-1], [-1]], qb:[[-11], [5]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ \phi_1^2$, $ M_5$, $ M_1$, $ q_1q_2$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_3M_4$, $ M_3^2$, $ \phi_1\tilde{q}_2^2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_3M_5$, $ M_4q_1q_2$, $ M_1M_3$, $ M_5\phi_1^2$, $ M_3q_1q_2$, $ M_2M_4$, $ M_2M_3$ | . | -1 | t^2.15 + t^2.35 + t^2.56 + t^3. + t^3.19 + t^3.22 + t^3.44 + t^4.06 + t^4.09 + 2*t^4.31 + t^4.5 + 2*t^4.69 + t^4.72 + t^4.94 + t^5.13 + t^5.18 + 2*t^5.35 + t^5.37 + t^5.54 + 2*t^5.56 + t^5.59 + t^5.78 - t^6. + 2*t^6.22 + t^6.39 + t^6.41 + t^6.44 + 2*t^6.46 + t^6.63 + 2*t^6.65 + t^6.85 + t^6.87 + t^7.04 + t^7.09 + 2*t^7.26 + t^7.28 + t^7.31 + t^7.33 + 2*t^7.5 + 2*t^7.52 + 3*t^7.69 + t^7.72 + 2*t^7.74 + 2*t^7.89 + t^7.91 + 2*t^8.13 - 2*t^8.15 + t^8.18 - 2*t^8.35 + 2*t^8.37 + t^8.39 + t^8.54 + t^8.56 + 3*t^8.61 + t^8.74 + 2*t^8.76 + t^8.78 + t^8.81 - t^4.28/y - t^6.44/y - t^6.63/y + t^7.09/y - t^7.48/y + t^7.5/y + t^7.72/y + t^7.91/y + t^7.94/y + t^8.13/y + t^8.15/y + (2*t^8.35)/y + t^8.37/y + t^8.54/y + (2*t^8.56)/y + t^8.76/y + t^8.78/y - t^8.98/y - t^4.28*y - t^6.44*y - t^6.63*y + t^7.09*y - t^7.48*y + t^7.5*y + t^7.72*y + t^7.91*y + t^7.94*y + t^8.13*y + t^8.15*y + 2*t^8.35*y + t^8.37*y + t^8.54*y + 2*t^8.56*y + t^8.76*y + t^8.78*y - t^8.98*y | t^2.15/g1^6 + g1^6*t^2.35 + g1^4*t^2.56 + t^3. + g1^12*t^3.19 + t^3.22/g1^2 + t^3.44/g1^4 + g1^4*t^4.06 + t^4.09/g1^10 + (2*t^4.31)/g1^12 + t^4.5 + 2*g1^12*t^4.69 + t^4.72/g1^2 + t^4.94/g1^4 + g1^8*t^5.13 + t^5.18/g1^20 + 2*g1^6*t^5.35 + t^5.37/g1^8 + g1^18*t^5.54 + 2*g1^4*t^5.56 + t^5.59/g1^10 + g1^2*t^5.78 - t^6. + (2*t^6.22)/g1^2 + g1^24*t^6.39 + g1^10*t^6.41 + t^6.44/g1^4 + (2*t^6.46)/g1^18 + g1^8*t^6.63 + (2*t^6.65)/g1^6 + g1^6*t^6.85 + t^6.87/g1^8 + g1^18*t^7.04 + t^7.09/g1^10 + 2*g1^16*t^7.26 + g1^2*t^7.28 + t^7.31/g1^12 + t^7.33/g1^26 + 2*t^7.5 + (2*t^7.52)/g1^14 + 3*g1^12*t^7.69 + t^7.72/g1^2 + (2*t^7.74)/g1^16 + 2*g1^24*t^7.89 + g1^10*t^7.91 + 2*g1^8*t^8.13 - (2*t^8.15)/g1^6 + t^8.18/g1^20 - 2*g1^6*t^8.35 + (2*t^8.37)/g1^8 + t^8.39/g1^22 + g1^18*t^8.54 + g1^4*t^8.56 + (3*t^8.61)/g1^24 + g1^30*t^8.74 + 2*g1^16*t^8.76 + g1^2*t^8.78 + t^8.81/g1^12 - (g1^2*t^4.28)/y - t^6.44/(g1^4*y) - (g1^8*t^6.63)/y + t^7.09/(g1^10*y) - (g1^14*t^7.48)/y + t^7.5/y + t^7.72/(g1^2*y) + (g1^10*t^7.91)/y + t^7.94/(g1^4*y) + (g1^8*t^8.13)/y + t^8.15/(g1^6*y) + (2*g1^6*t^8.35)/y + t^8.37/(g1^8*y) + (g1^18*t^8.54)/y + (2*g1^4*t^8.56)/y + (g1^16*t^8.76)/y + (g1^2*t^8.78)/y - (g1^14*t^8.98)/y - g1^2*t^4.28*y - (t^6.44*y)/g1^4 - g1^8*t^6.63*y + (t^7.09*y)/g1^10 - g1^14*t^7.48*y + t^7.5*y + (t^7.72*y)/g1^2 + g1^10*t^7.91*y + (t^7.94*y)/g1^4 + g1^8*t^8.13*y + (t^8.15*y)/g1^6 + 2*g1^6*t^8.35*y + (t^8.37*y)/g1^8 + g1^18*t^8.54*y + 2*g1^4*t^8.56*y + g1^16*t^8.76*y + g1^2*t^8.78*y - g1^14*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 1086 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ + $ M_1M_3$ + $ M_4X_1$ | 0.5968 | 0.7288 | 0.819 | [X:[1.3333], M:[1.1667, 1.1111, 0.8333, 0.6667, 1.0], q:[0.7778, 0.2778], qb:[0.5556, 0.6111], phi:[0.4444]] | t^2.5 + t^2.67 + t^3. + t^3.17 + t^3.33 + t^3.5 + t^3.83 + 2*t^4. + t^4.17 + t^4.67 + t^4.83 + t^5. + t^5.33 + t^5.5 + 2*t^5.67 - t^4.33/y - t^4.33*y | detail | {a: 1547/2592, c: 1889/2592, X1: 4/3, M1: 7/6, M2: 10/9, M3: 5/6, M4: 2/3, M5: 1, q1: 7/9, q2: 5/18, qb1: 5/9, qb2: 11/18, phi1: 4/9} |
| 1087 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ + $ M_6q_1q_2$ | 0.632 | 0.7882 | 0.8018 | [X:[], M:[1.0543, 1.1486, 0.7772, 0.7228, 1.0, 0.9257], q:[0.7871, 0.2871], qb:[0.6585, 0.5643], phi:[0.4257]] | t^2.17 + t^2.33 + t^2.55 + t^2.78 + t^3. + t^3.16 + t^3.45 + t^4.05 + t^4.11 + 2*t^4.34 + t^4.5 + 2*t^4.66 + t^4.72 + 2*t^4.95 + 2*t^5.11 + t^5.23 + 3*t^5.33 + t^5.49 + 2*t^5.55 + t^5.61 + t^5.78 + t^5.94 - t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 415 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.6912 | 0.864 | 0.8 | [X:[], M:[0.9777, 1.1199, 0.9825, 0.6799, 0.6751], q:[0.78, 0.4425], qb:[0.5799, 0.4376], phi:[0.44]] | t^2.03 + t^2.04 + t^2.64 + t^2.93 + t^2.95 + t^3.36 + t^3.65 + t^3.67 + t^3.95 + t^4.05 + t^4.06 + 2*t^4.08 + t^4.37 + t^4.39 + t^4.67 + t^4.68 + t^4.8 + t^4.96 + 2*t^4.97 + t^4.99 + t^5.28 + t^5.39 + t^5.4 + t^5.68 + 2*t^5.69 + t^5.71 + t^5.87 + t^5.88 + t^5.9 + t^5.97 - 2*t^6. - t^4.32/y - t^4.32*y | detail |