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 |
---|---|---|---|---|---|---|---|---|---|
47875 | SU3adj1nf2 | $\phi_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ | 1.1107 | 1.2278 | 0.9046 | [X:[1.5211], M:[], q:[0.8803, 0.4014], qb:[0.8803, 0.4014], phi:[0.2394]] | [X:[[0, 0, 2]], M:[], q:[[-1, 0, 1], [0, -1, 5]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^3$, $ q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^6$, $ \phi_1^3q_2\tilde{q}_2$, $ X_1$, $ q_2^2\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ \phi_1^4q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^3$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1q_2^2$, $ \phi_1^3q_2^3$ | $\phi_1^5q_2\tilde{q}_2$ | -2 | t^2.15 + t^2.41 + t^3.13 + 3*t^3.85 + t^4.31 + 2*t^4.56 + t^4.82 + 2*t^5.28 + t^5.54 + 4*t^5.77 - 2*t^6. + 4*t^6.25 + t^6.46 + t^6.72 + 5*t^6.97 + t^7.23 - t^7.44 + 8*t^7.69 + t^7.94 + 4*t^8.18 + 2*t^8.41 + t^8.62 - 4*t^8.64 + 4*t^8.66 + 4*t^8.89 + t^8.15/y^2 - t^8.87/y^2 - t^3.72/y - t^4.44/y - t^5.87/y - t^6.13/y - t^6.59/y - t^6.85/y - (2*t^7.56)/y - t^8.03/y - t^8.75/y - t^3.72*y - t^4.44*y - t^5.87*y - t^6.13*y - t^6.59*y - t^6.85*y - 2*t^7.56*y - t^8.03*y - t^8.75*y + t^8.15*y^2 - t^8.87*y^2 | t^2.15/g3^3 + g3^5*t^2.41 + g3^4*t^3.13 + (g2*g3*t^3.85)/g1 + g3^3*t^3.85 + (g1*g3^5*t^3.85)/g2 + t^4.31/g3^6 + 2*g3^2*t^4.56 + g3^10*t^4.82 + 2*g3*t^5.28 + g3^9*t^5.54 + (g2^3*t^5.77)/g3^3 + (g1*g2^2*t^5.77)/g3 + (g3^10*t^5.77)/(g1*g2^2) + (g3^12*t^5.77)/g2^3 - 2*t^6. + (g2*g3^6*t^6.25)/g1 + 2*g3^8*t^6.25 + (g1*g3^10*t^6.25)/g2 + t^6.46/g3^9 + t^6.72/g3 + (g2*g3^5*t^6.97)/g1 + 3*g3^7*t^6.97 + (g1*g3^9*t^6.97)/g2 + g3^15*t^7.23 - (g1*t^7.44)/g2 - (g2*t^7.44)/(g1*g3^4) + t^7.44/g3^2 + (g2^2*g3^2*t^7.69)/g1^2 + (g2*g3^4*t^7.69)/g1 + 4*g3^6*t^7.69 + (g1*g3^8*t^7.69)/g2 + (g1^2*g3^10*t^7.69)/g2^2 + g3^14*t^7.94 + g2^3*g3^2*t^8.18 + g1*g2^2*g3^4*t^8.18 + (g3^15*t^8.18)/(g1*g2^2) + (g3^17*t^8.18)/g2^3 + (g2*g3^3*t^8.41)/g1 + (g1*g3^7*t^8.41)/g2 + t^8.62/g3^12 - (g2^3*t^8.64)/g3^7 - (g1*g2^2*t^8.64)/g3^5 - (g3^6*t^8.64)/(g1*g2^2) - (g3^8*t^8.64)/g2^3 + (g2*g3^11*t^8.66)/g1 + 2*g3^13*t^8.66 + (g1*g3^15*t^8.66)/g2 + g2^3*g3*t^8.89 + g1*g2^2*g3^3*t^8.89 + (g3^14*t^8.89)/(g1*g2^2) + (g3^16*t^8.89)/g2^3 + t^8.15/(g3^3*y^2) - t^8.87/(g3^4*y^2) - t^3.72/(g3*y) - t^4.44/(g3^2*y) - t^5.87/(g3^4*y) - (g3^4*t^6.13)/y - t^6.59/(g3^5*y) - (g3^3*t^6.85)/y - (g2*t^7.56)/(g1*y) - (g1*g3^4*t^7.56)/(g2*y) - t^8.03/(g3^7*y) - t^8.75/(g3^8*y) - (t^3.72*y)/g3 - (t^4.44*y)/g3^2 - (t^5.87*y)/g3^4 - g3^4*t^6.13*y - (t^6.59*y)/g3^5 - g3^3*t^6.85*y - (g2*t^7.56*y)/g1 - (g1*g3^4*t^7.56*y)/g2 - (t^8.03*y)/g3^7 - (t^8.75*y)/g3^8 + (t^8.15*y^2)/g3^3 - (t^8.87*y^2)/g3^4 |
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 |
---|---|---|---|---|---|---|---|---|
47952 | $\phi_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_2\tilde{q}_2$ | 1.1309 | 1.2646 | 0.8942 | [X:[1.5244], M:[0.7134], q:[0.8811, 0.4055], qb:[0.8811, 0.4055], phi:[0.2378]] | 2*t^2.14 + t^2.43 + t^3.15 + 2*t^3.86 + 3*t^4.28 + 3*t^4.57 + t^4.87 + 3*t^5.29 + t^5.58 + 4*t^5.79 - t^6. - t^3.71/y - t^4.43/y - (2*t^5.85)/y - t^3.71*y - t^4.43*y - 2*t^5.85*y | detail | |
47934 | $\phi_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ M_1\phi_1^3$ | 1.0906 | 1.192 | 0.915 | [X:[1.5172], M:[1.2758], q:[0.8793, 0.3965], qb:[0.8793, 0.3965], phi:[0.2414]] | t^2.38 + t^3.1 + 4*t^3.83 + t^4.55 + t^4.76 + t^5.28 + t^5.48 + 4*t^5.74 - 5*t^6. - t^3.72/y - t^4.45/y - t^3.72*y - t^4.45*y | detail | |
47916 | $\phi_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ M_1q_2\tilde{q}_2$ | 1.0956 | 1.1968 | 0.9155 | [X:[1.5377], M:[1.1558], q:[0.8844, 0.4221], qb:[0.8844, 0.4221], phi:[0.2312]] | t^2.08 + t^3.23 + t^3.47 + 3*t^3.92 + t^4.16 + t^4.61 + 2*t^5.31 + t^5.55 + 4*t^5.88 - 2*t^6. - t^3.69/y - t^4.39/y - t^5.77/y - t^3.69*y - t^4.39*y - t^5.77*y | detail | |
47949 | $\phi_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ \phi_1q_2^2\tilde{q}_2^2$ + $ \phi_1^3X_2$ | 1.0833 | 1.1667 | 0.9286 | [X:[1.5556, 1.3333], M:[], q:[0.8889, 0.4444], qb:[0.8889, 0.4444], phi:[0.2222]] | t^2.67 + t^3.33 + 4*t^4. + t^4.67 + 2*t^5.33 - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y | detail | {a: 13/12, c: 7/6, X1: 14/9, X2: 4/3, q1: 8/9, q2: 4/9, qb1: 8/9, qb2: 4/9, phi1: 2/9} |
47880 | $\phi_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ \phi_1^3\tilde{q}_2^3$ | 1.1092 | 1.2232 | 0.9068 | [X:[1.5292], M:[], q:[0.8823, 0.3918], qb:[0.8823, 0.4313], phi:[0.2354]] | t^2.12 + t^2.47 + t^3.18 + t^3.82 + t^3.88 + t^3.94 + t^4.24 + 2*t^4.59 + t^4.94 + 2*t^5.29 + 2*t^5.64 + t^5.7 + t^5.94 - t^6. - t^3.71/y - t^4.41/y - t^5.82/y - t^3.71*y - t^4.41*y - t^5.82*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 |
---|---|---|---|---|---|---|---|---|---|
47866 | SU3adj1nf2 | . | 1.4743 | 1.6854 | 0.8748 | [X:[], M:[], q:[0.4934, 0.4934], qb:[0.4934, 0.4934], phi:[0.3377]] | t^2.03 + 4*t^2.96 + t^3.04 + 4*t^3.97 + t^4.05 + 8*t^4.99 + t^5.07 + 4*t^5.45 + 10*t^5.92 - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*y | detail |