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 |
---|---|---|---|---|---|---|---|---|---|
441 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ | 0.6321 | 0.7818 | 0.8086 | [X:[], M:[1.183, 0.7604, 0.817, 0.817], q:[0.8028, 0.4368], qb:[0.3802, 0.8028], phi:[0.3943]] | [X:[], M:[[-6], [-14], [6], [6]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ \phi_1^2$, $ M_3$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ q_1q_2$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_1M_2$, $ \phi_1^3\tilde{q}_1^2$, $ M_1\phi_1^2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$ | 1 | t^2.28 + t^2.37 + 2*t^2.45 + t^3.46 + t^3.55 + t^3.63 + t^3.72 + t^3.8 + t^4.56 + t^4.65 + 3*t^4.73 + 3*t^4.82 + 3*t^4.9 + t^5.75 + t^5.83 + 2*t^5.92 + t^6. + 2*t^6.08 + 2*t^6.17 + 2*t^6.25 + t^6.84 + 2*t^6.93 + 3*t^7.01 + 3*t^7.1 + 4*t^7.18 + 3*t^7.27 + 3*t^7.35 + t^7.44 + t^7.52 + t^7.61 + t^8.03 + t^8.11 + 2*t^8.2 + t^8.37 - t^8.45 + 2*t^8.54 + 3*t^8.62 + 3*t^8.71 - t^4.18/y - t^6.46/y - t^6.55/y - t^6.63/y + t^7.65/y + (3*t^7.73)/y + (3*t^7.82)/y + (2*t^7.9)/y + t^8.83/y + (2*t^8.92)/y - t^4.18*y - t^6.46*y - t^6.55*y - t^6.63*y + t^7.65*y + 3*t^7.73*y + 3*t^7.82*y + 2*t^7.9*y + t^8.83*y + 2*t^8.92*y | t^2.28/g1^14 + t^2.37/g1^4 + 2*g1^6*t^2.45 + t^3.46/g1^16 + t^3.55/g1^6 + g1^4*t^3.63 + g1^14*t^3.72 + g1^24*t^3.8 + t^4.56/g1^28 + t^4.65/g1^18 + (3*t^4.73)/g1^8 + 3*g1^2*t^4.82 + 3*g1^12*t^4.9 + t^5.75/g1^30 + t^5.83/g1^20 + (2*t^5.92)/g1^10 + t^6. + 2*g1^10*t^6.08 + 2*g1^20*t^6.17 + 2*g1^30*t^6.25 + t^6.84/g1^42 + (2*t^6.93)/g1^32 + (3*t^7.01)/g1^22 + (3*t^7.1)/g1^12 + (4*t^7.18)/g1^2 + 3*g1^8*t^7.27 + 3*g1^18*t^7.35 + g1^28*t^7.44 + g1^38*t^7.52 + g1^48*t^7.61 + t^8.03/g1^44 + t^8.11/g1^34 + (2*t^8.2)/g1^24 + t^8.37/g1^4 - g1^6*t^8.45 + 2*g1^16*t^8.54 + 3*g1^26*t^8.62 + 3*g1^36*t^8.71 - t^4.18/(g1^2*y) - t^6.46/(g1^16*y) - t^6.55/(g1^6*y) - (g1^4*t^6.63)/y + t^7.65/(g1^18*y) + (3*t^7.73)/(g1^8*y) + (3*g1^2*t^7.82)/y + (2*g1^12*t^7.9)/y + t^8.83/(g1^20*y) + (2*t^8.92)/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.46*y)/g1^16 - (t^6.55*y)/g1^6 - g1^4*t^6.63*y + (t^7.65*y)/g1^18 + (3*t^7.73*y)/g1^8 + 3*g1^2*t^7.82*y + 2*g1^12*t^7.9*y + (t^8.83*y)/g1^20 + (2*t^8.92*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
739 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ | 0.6477 | 0.8091 | 0.8005 | [X:[], M:[1.1874, 0.7706, 0.8126, 0.8126, 0.8126], q:[0.8021, 0.4273], qb:[0.3853, 0.8021], phi:[0.3958]] | t^2.31 + t^2.37 + 3*t^2.44 + t^3.5 + t^3.63 + t^3.69 + t^3.75 + t^4.62 + t^4.69 + 4*t^4.75 + 4*t^4.81 + 6*t^4.88 + t^5.81 + 2*t^5.94 - t^6. - t^4.19/y - t^4.19*y | detail | |
738 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_2M_5$ | 0.614 | 0.75 | 0.8186 | [X:[], M:[1.1914, 0.78, 0.8086, 0.8086, 1.22], q:[0.8014, 0.4186], qb:[0.39, 0.8014], phi:[0.3971]] | t^2.38 + 2*t^2.43 + t^3.53 + t^3.57 + t^3.62 + 2*t^3.66 + t^3.7 + t^4.77 + 3*t^4.81 + 3*t^4.85 + t^5.96 - t^4.19/y - t^4.19*y | detail | |
736 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_4M_5$ | 0.6168 | 0.7552 | 0.8167 | [X:[], M:[1.1785, 0.7498, 0.8215, 0.8215, 1.1785], q:[0.8036, 0.4467], qb:[0.3749, 0.8036], phi:[0.3928]] | t^2.25 + t^2.36 + t^2.46 + t^3.43 + 2*t^3.54 + t^3.64 + t^3.75 + t^3.86 + t^4.5 + t^4.61 + 2*t^4.71 + 2*t^4.82 + t^4.93 + t^5.68 + 2*t^5.78 + 2*t^5.89 + t^6. - t^4.18/y - t^4.18*y | detail | |
740 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6493 | 0.8122 | 0.7994 | [X:[], M:[1.1805, 0.7545, 0.8195, 0.8195, 0.787], q:[0.8032, 0.4422], qb:[0.3773, 0.8032], phi:[0.3935]] | t^2.26 + 2*t^2.36 + 2*t^2.46 + t^3.44 + t^3.54 + t^3.74 + t^3.83 + t^4.53 + 2*t^4.62 + 5*t^4.72 + 5*t^4.82 + 3*t^4.92 + t^5.71 + 2*t^5.81 + 2*t^5.9 - t^4.18/y - t^4.18*y | detail | |
1848 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ | 0.6522 | 0.82 | 0.7954 | [X:[], M:[1.177, 0.7464, 0.823, 0.823, 0.7082], q:[0.8038, 0.4497], qb:[0.3732, 0.8038], phi:[0.3923]] | t^2.12 + t^2.24 + t^2.35 + 2*t^2.47 + t^3.42 + t^3.53 + t^3.65 + t^3.76 + t^4.25 + t^4.36 + 2*t^4.48 + 3*t^4.59 + 3*t^4.71 + 3*t^4.82 + 3*t^4.94 + t^5.54 + 2*t^5.66 + 2*t^5.77 + 3*t^5.89 + t^6. - t^4.18/y - t^4.18*y | detail | |
737 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6467 | 0.8082 | 0.8002 | [X:[], M:[1.1947, 0.7877, 0.8053, 0.8053, 0.814], q:[0.8009, 0.4114], qb:[0.3939, 0.8009], phi:[0.3982]] | t^2.36 + t^2.39 + 2*t^2.42 + t^2.44 + t^3.58 + t^3.61 + t^3.64 + t^3.66 + t^4.73 + t^4.75 + 3*t^4.78 + 4*t^4.81 + 4*t^4.83 + 2*t^4.86 + t^4.88 + t^6. - t^4.19/y - t^4.19*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 |
---|---|---|---|---|---|---|---|---|---|
269 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ | 0.6955 | 0.8466 | 0.8215 | [X:[], M:[1.0, 0.9217, 1.0, 0.7479], q:[0.7913, 0.5392], qb:[0.4608, 0.5392], phi:[0.4174]] | t^2.24 + t^2.5 + t^2.76 + 2*t^3. + 2*t^3.99 + t^4.02 + 2*t^4.25 + 4*t^4.49 + t^4.75 + 2*t^5.01 + 2*t^5.24 + t^5.27 + 2*t^5.5 + t^5.53 - 2*t^6. - t^4.25/y - t^4.25*y | detail |