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 |
---|---|---|---|---|---|---|---|---|---|
55078 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ + $ M_3^2$ | 0.7044 | 0.8644 | 0.815 | [X:[], M:[0.921, 1.0395, 1.0, 0.8816, 1.0395, 0.9605], q:[0.4605, 0.6184], qb:[0.5, 0.5], phi:[0.4803]] | [X:[], M:[[-4], [2], [0], [-6], [2], [-2]], q:[[-2], [6]], qb:[[0], [0]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_1$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_1^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_1M_3$, $ M_2M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_2$, $ M_3M_6$, $ M_3\phi_1^2$ | $M_2\phi_1^2$, $ M_4q_2\tilde{q}_1$ | -2 | t^2.64 + t^2.76 + 2*t^2.88 + t^3. + t^3.12 + t^3.36 + t^4.2 + 2*t^4.32 + 3*t^4.44 + t^4.68 + 2*t^4.8 + t^5.15 + t^5.29 + t^5.41 + 2*t^5.53 + t^5.64 + 5*t^5.76 + t^5.88 - 2*t^6. + 2*t^6.24 - t^6.36 + t^6.71 + t^6.85 + 2*t^6.97 + 5*t^7.09 + 7*t^7.2 + 5*t^7.32 + t^7.44 + t^7.56 + 2*t^7.68 + 2*t^7.8 + t^7.93 + t^8.03 + t^8.05 + 2*t^8.15 + 2*t^8.17 + 2*t^8.29 + 4*t^8.41 + t^8.51 + 3*t^8.53 + 5*t^8.64 - t^8.76 - t^4.44/y - t^7.09/y - t^7.2/y + t^7.68/y + t^7.8/y + t^8.41/y + (2*t^8.53)/y + (3*t^8.64)/y + (3*t^8.76)/y + (3*t^8.88)/y - t^4.44*y - t^7.09*y - t^7.2*y + t^7.68*y + t^7.8*y + t^8.41*y + 2*t^8.53*y + 3*t^8.64*y + 3*t^8.76*y + 3*t^8.88*y | t^2.64/g1^6 + t^2.76/g1^4 + (2*t^2.88)/g1^2 + t^3. + g1^2*t^3.12 + g1^6*t^3.36 + t^4.2/g1^5 + (2*t^4.32)/g1^3 + (3*t^4.44)/g1 + g1^3*t^4.68 + 2*g1^5*t^4.8 + g1^11*t^5.15 + t^5.29/g1^12 + t^5.41/g1^10 + (2*t^5.53)/g1^8 + t^5.64/g1^6 + (5*t^5.76)/g1^4 + t^5.88/g1^2 - 2*t^6. + 2*g1^4*t^6.24 - g1^6*t^6.36 + g1^12*t^6.71 + t^6.85/g1^11 + (2*t^6.97)/g1^9 + (5*t^7.09)/g1^7 + (7*t^7.2)/g1^5 + (5*t^7.32)/g1^3 + t^7.44/g1 + g1*t^7.56 + 2*g1^3*t^7.68 + 2*g1^5*t^7.8 + t^7.93/g1^18 + g1^9*t^8.03 + t^8.05/g1^16 + 2*g1^11*t^8.15 + (2*t^8.17)/g1^14 + (2*t^8.29)/g1^12 + (4*t^8.41)/g1^10 + g1^17*t^8.51 + (3*t^8.53)/g1^8 + (5*t^8.64)/g1^6 - t^8.76/g1^4 - t^4.44/(g1*y) - t^7.09/(g1^7*y) - t^7.2/(g1^5*y) + (g1^3*t^7.68)/y + (g1^5*t^7.8)/y + t^8.41/(g1^10*y) + (2*t^8.53)/(g1^8*y) + (3*t^8.64)/(g1^6*y) + (3*t^8.76)/(g1^4*y) + (3*t^8.88)/(g1^2*y) - (t^4.44*y)/g1 - (t^7.09*y)/g1^7 - (t^7.2*y)/g1^5 + g1^3*t^7.68*y + g1^5*t^7.8*y + (t^8.41*y)/g1^10 + (2*t^8.53*y)/g1^8 + (3*t^8.64*y)/g1^6 + (3*t^8.76*y)/g1^4 + (3*t^8.88*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
56633 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ + $ M_3^2$ + $ M_2M_7$ | 0.7084 | 0.8717 | 0.8127 | [X:[], M:[0.9097, 1.0451, 1.0, 0.8646, 1.0451, 0.9549, 0.9549], q:[0.4549, 0.6354], qb:[0.5, 0.5], phi:[0.4774]] | t^2.59 + t^2.73 + 3*t^2.86 + t^3. + t^3.41 + t^4.16 + 2*t^4.3 + 3*t^4.43 + t^4.7 + 2*t^4.84 + t^5.19 + t^5.24 + t^5.32 + 3*t^5.46 + 2*t^5.59 + 7*t^5.73 + t^5.86 - 4*t^6. - t^4.43/y - t^4.43*y | detail | |
56631 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ + $ M_3^2$ + $ M_4M_7$ | 0.6958 | 0.8499 | 0.8187 | [X:[], M:[0.9535, 1.0233, 1.0, 0.9302, 1.0233, 0.9767, 1.0698], q:[0.4767, 0.5698], qb:[0.5, 0.5], phi:[0.4884]] | t^2.86 + 2*t^2.93 + t^3. + t^3.07 + 2*t^3.21 + t^4.33 + 2*t^4.4 + 3*t^4.47 + t^4.6 + 2*t^4.67 + t^4.88 + 4*t^5.86 + t^5.93 - 3*t^6. - t^4.47/y - t^4.47*y | detail | |
56632 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ + $ M_3^2$ + $ M_6M_7$ | 0.701 | 0.8583 | 0.8167 | [X:[], M:[0.9324, 1.0338, 1.0, 0.8985, 1.0338, 0.9662, 1.0338], q:[0.4662, 0.6015], qb:[0.5, 0.5], phi:[0.4831]] | t^2.7 + t^2.8 + t^2.9 + t^3. + 2*t^3.1 + t^3.3 + t^4.25 + 2*t^4.35 + 3*t^4.45 + t^4.65 + 2*t^4.75 + t^5.06 + t^5.39 + t^5.49 + t^5.59 + 4*t^5.8 + t^5.9 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
56634 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ + $ M_3^2$ + $ M_7q_2\tilde{q}_1$ | 0.7167 | 0.8879 | 0.8072 | [X:[], M:[0.8941, 1.053, 1.0, 0.8411, 1.053, 0.947, 0.8411], q:[0.447, 0.6589], qb:[0.5, 0.5], phi:[0.4735]] | 2*t^2.52 + t^2.68 + 2*t^2.84 + t^3. + t^3.16 + t^4.1 + 2*t^4.26 + 3*t^4.42 + t^4.74 + 2*t^4.9 + 3*t^5.05 + 2*t^5.21 + 4*t^5.36 + t^5.37 + 2*t^5.52 + 6*t^5.68 + t^5.84 - 3*t^6. - t^4.42/y - t^4.42*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 |
---|---|---|---|---|---|---|---|---|---|
46804 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ | 0.7055 | 0.8657 | 0.8149 | [X:[], M:[0.951, 1.0421, 0.9647, 0.8736, 1.0421, 0.9579], q:[0.4402, 0.6088], qb:[0.5177, 0.5177], phi:[0.4789]] | t^2.62 + t^2.85 + 2*t^2.87 + t^2.89 + t^3.13 + t^3.38 + t^4.08 + 2*t^4.31 + 3*t^4.54 + t^4.58 + 2*t^4.82 + t^5.09 + t^5.24 + t^5.47 + t^5.49 + t^5.51 + t^5.71 + 5*t^5.75 + t^5.79 + t^5.98 - 3*t^6. - t^4.44/y - t^4.44*y | detail |