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 |
---|---|---|---|---|---|---|---|---|---|
53323 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1M_6$ | 0.6038 | 0.7739 | 0.7802 | [X:[], M:[1.2786, 1.0166, 0.7214, 0.6882, 0.9834, 0.7214], q:[0.3441, 0.3773], qb:[0.6393, 0.9345], phi:[0.4262]] | [X:[], M:[[-6], [14], [6], [-22], [-14], [6]], q:[[-11], [17]], qb:[[-3], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_3M_4$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4\phi_1^2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_2M_4$, $ M_3M_5$, $ M_5M_6$, $ \phi_1^4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_4\phi_1q_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1q_1^2$, $ M_4\phi_1q_1q_2$, $ M_2\phi_1^2$, $ M_6\phi_1q_1q_2$, $ M_4\phi_1q_2^2$, $ M_3\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ M_5^2$, $ \phi_1^3q_1^2$ | $\phi_1^3q_1q_2$ | -1 | t^2.06 + 2*t^2.16 + t^2.56 + t^2.95 + t^3.05 + t^3.34 + t^3.44 + t^3.54 + t^4.13 + 2*t^4.23 + 3*t^4.33 + t^4.62 + 3*t^4.72 + t^5.01 + 4*t^5.11 + 2*t^5.21 + t^5.41 + 3*t^5.51 + 3*t^5.61 + 2*t^5.71 + t^5.9 - t^6. + t^6.1 + t^6.19 + 3*t^6.29 + 3*t^6.39 + 4*t^6.49 + t^6.59 + 2*t^6.69 + 2*t^6.79 + 3*t^6.89 + 2*t^7.08 + 3*t^7.18 + 5*t^7.28 + t^7.38 + t^7.47 + 3*t^7.57 + 6*t^7.67 + 4*t^7.77 + 3*t^7.87 + t^7.97 + t^8.06 - 2*t^8.16 + 3*t^8.26 + 3*t^8.36 + 5*t^8.46 + t^8.56 + 5*t^8.66 + 2*t^8.75 + 2*t^8.76 + 4*t^8.85 - 2*t^8.95 - t^4.28/y - t^6.34/y - t^6.44/y - t^6.84/y + (2*t^7.23)/y + t^7.33/y + t^7.62/y + (3*t^7.72)/y + t^8.01/y + (4*t^8.11)/y + (3*t^8.21)/y + (3*t^8.51)/y + (3*t^8.61)/y + (2*t^8.71)/y - t^4.28*y - t^6.34*y - t^6.44*y - t^6.84*y + 2*t^7.23*y + t^7.33*y + t^7.62*y + 3*t^7.72*y + t^8.01*y + 4*t^8.11*y + 3*t^8.21*y + 3*t^8.51*y + 3*t^8.61*y + 2*t^8.71*y | t^2.06/g1^22 + 2*g1^6*t^2.16 + t^2.56/g1^4 + t^2.95/g1^14 + g1^14*t^3.05 + t^3.34/g1^24 + g1^4*t^3.44 + g1^32*t^3.54 + t^4.13/g1^44 + (2*t^4.23)/g1^16 + 3*g1^12*t^4.33 + t^4.62/g1^26 + 3*g1^2*t^4.72 + t^5.01/g1^36 + (4*t^5.11)/g1^8 + 2*g1^20*t^5.21 + t^5.41/g1^46 + (3*t^5.51)/g1^18 + 3*g1^10*t^5.61 + 2*g1^38*t^5.71 + t^5.9/g1^28 - t^6. + g1^28*t^6.1 + t^6.19/g1^66 + (3*t^6.29)/g1^38 + (3*t^6.39)/g1^10 + 4*g1^18*t^6.49 + g1^46*t^6.59 + (2*t^6.69)/g1^48 + (2*t^6.79)/g1^20 + 3*g1^8*t^6.89 + t^7.08/g1^58 + g1^64*t^7.08 + (3*t^7.18)/g1^30 + (5*t^7.28)/g1^2 + g1^26*t^7.38 + t^7.47/g1^68 + (3*t^7.57)/g1^40 + (6*t^7.67)/g1^12 + 4*g1^16*t^7.77 + 3*g1^44*t^7.87 + t^7.97/g1^50 + t^8.06/g1^22 - 2*g1^6*t^8.16 + t^8.26/g1^88 + 2*g1^34*t^8.26 + (3*t^8.36)/g1^60 + (5*t^8.46)/g1^32 + t^8.56/g1^4 + 5*g1^24*t^8.66 + (2*t^8.75)/g1^70 + 2*g1^52*t^8.76 + (4*t^8.85)/g1^42 - (2*t^8.95)/g1^14 - t^4.28/(g1^2*y) - t^6.34/(g1^24*y) - (g1^4*t^6.44)/y - t^6.84/(g1^6*y) + (2*t^7.23)/(g1^16*y) + (g1^12*t^7.33)/y + t^7.62/(g1^26*y) + (3*g1^2*t^7.72)/y + t^8.01/(g1^36*y) + (4*t^8.11)/(g1^8*y) + (3*g1^20*t^8.21)/y + (3*t^8.51)/(g1^18*y) + (3*g1^10*t^8.61)/y + (2*g1^38*t^8.71)/y - (t^4.28*y)/g1^2 - (t^6.34*y)/g1^24 - g1^4*t^6.44*y - (t^6.84*y)/g1^6 + (2*t^7.23*y)/g1^16 + g1^12*t^7.33*y + (t^7.62*y)/g1^26 + 3*g1^2*t^7.72*y + (t^8.01*y)/g1^36 + (4*t^8.11*y)/g1^8 + 3*g1^20*t^8.21*y + (3*t^8.51*y)/g1^18 + 3*g1^10*t^8.61*y + 2*g1^38*t^8.71*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 |
---|---|---|---|---|---|---|---|---|
56481 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1M_6$ + $ M_5M_7$ | 0.603 | 0.7726 | 0.7805 | [X:[], M:[1.2853, 1.0009, 0.7147, 0.7128, 0.9991, 0.7147, 1.0009], q:[0.3564, 0.3583], qb:[0.6427, 0.9289], phi:[0.4284]] | 3*t^2.14 + t^2.57 + 2*t^3. + t^3.42 + 2*t^3.43 + 3*t^4.28 + 3*t^4.29 + 4*t^4.71 + 3*t^5.14 + 4*t^5.15 + t^5.56 + 6*t^5.57 + 2*t^5.58 - 2*t^6. - t^4.29/y - t^4.29*y | detail | |
56482 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7\phi_1q_1^2$ | 0.6156 | 0.7946 | 0.7748 | [X:[], M:[1.2878, 0.9952, 0.7122, 0.7218, 1.0048, 0.7122, 0.8489], q:[0.3609, 0.3513], qb:[0.6439, 0.9269], phi:[0.4293]] | 2*t^2.14 + t^2.17 + t^2.55 + t^2.58 + t^2.99 + t^3.01 + t^3.4 + t^3.42 + 3*t^4.27 + 2*t^4.3 + t^4.33 + 2*t^4.68 + 4*t^4.71 + t^4.74 + t^5.09 + 3*t^5.12 + 4*t^5.15 + t^5.18 + 3*t^5.53 + 4*t^5.56 + t^5.59 + t^5.94 + 2*t^5.97 - t^6. - t^4.29/y - t^4.29*y | detail | |
56485 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ M_4X_1$ | 0.5997 | 0.7631 | 0.7859 | [X:[1.3442], M:[1.2698, 1.0372, 0.7302, 0.6558, 0.9628, 0.7302, 0.7721], q:[0.3279, 0.4023], qb:[0.6349, 0.9419], phi:[0.4233]] | 2*t^2.19 + t^2.32 + t^2.54 + t^2.89 + t^3.11 + t^3.24 + t^3.46 + t^4.03 + 3*t^4.38 + 2*t^4.51 + t^4.63 + 3*t^4.73 + t^4.86 + 3*t^5.08 + t^5.2 + 2*t^5.3 + 3*t^5.43 + t^5.55 + 2*t^5.65 + 2*t^5.78 - t^6. - t^4.27/y - t^4.27*y | detail | |
56480 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7\phi_1^2$ | 0.5909 | 0.7517 | 0.786 | [X:[], M:[1.2801, 1.013, 0.7199, 0.6939, 0.987, 0.7199, 1.1466], q:[0.3469, 0.3729], qb:[0.6401, 0.9332], phi:[0.4267]] | t^2.08 + 2*t^2.16 + t^2.96 + t^3.04 + t^3.36 + 2*t^3.44 + t^3.52 + t^4.16 + 2*t^4.24 + 3*t^4.32 + t^4.72 + t^5.04 + 3*t^5.12 + 2*t^5.2 + t^5.44 + 3*t^5.52 + 4*t^5.6 + 2*t^5.68 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
47192 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_5$ | 0.5838 | 0.7365 | 0.7926 | [X:[], M:[1.2777, 1.0186, 0.7223, 0.685, 0.9814], q:[0.3425, 0.3798], qb:[0.6389, 0.9352], phi:[0.4259]] | t^2.05 + t^2.17 + t^2.56 + t^2.94 + t^3.06 + t^3.33 + t^3.44 + t^3.56 + t^3.83 + t^4.11 + t^4.22 + t^4.33 + t^4.61 + 2*t^4.72 + t^5. + 3*t^5.11 + t^5.22 + t^5.39 + 2*t^5.5 + 2*t^5.61 + t^5.72 + 2*t^5.89 - t^4.28/y - t^4.28*y | detail |