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 |
---|---|---|---|---|---|---|---|---|---|
55217 | 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_4^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ \phi_1q_2^2$ | 0.6087 | 0.7818 | 0.7785 | [X:[], M:[0.7432, 0.9453, 1.2568, 1.0, 1.0274, 0.6884], q:[0.5, 0.7568], qb:[0.5547, 0.2432], phi:[0.4863]] | [X:[], M:[[1], [8], [-1], [0], [-4], [9]], q:[[0], [-1]], qb:[[-8], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_2^2$, $ M_4$, $ M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_1M_6$, $ M_1^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2M_6$, $ M_6\phi_1\tilde{q}_2^2$, $ M_1M_2$, $ M_4M_6$, $ M_5M_6$, $ M_1\phi_1\tilde{q}_2^2$, $ M_1M_4$, $ \phi_1q_1q_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_6\phi_1q_1\tilde{q}_2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_3M_6$, $ \phi_1^2\tilde{q}_2^4$, $ M_2M_5$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$ | . | -1 | t^2.07 + t^2.23 + t^2.39 + t^2.84 + t^2.92 + t^3. + t^3.08 + t^3.69 + t^3.77 + t^3.85 + t^4.13 + t^4.29 + 3*t^4.46 + 2*t^4.62 + 2*t^4.79 + t^4.9 + t^4.98 + t^5.07 + 2*t^5.15 + t^5.23 + 2*t^5.31 + t^5.39 + t^5.48 + t^5.67 + 2*t^5.75 + 2*t^5.84 + 3*t^5.92 - t^6. + 2*t^6.08 + t^6.2 + t^6.25 + t^6.36 + 3*t^6.52 + t^6.61 + 4*t^6.69 + 4*t^6.85 - t^6.93 + t^6.97 + 2*t^7.02 + t^7.05 + t^7.13 + 2*t^7.18 + 2*t^7.21 + t^7.29 + 4*t^7.38 + t^7.46 + 3*t^7.54 + t^7.62 + 3*t^7.71 + t^7.74 + t^7.79 + 2*t^7.82 + t^7.87 + 2*t^7.9 + 3*t^7.98 - t^8.07 + 4*t^8.15 - t^8.23 + t^8.26 + 3*t^8.31 - 3*t^8.39 + t^8.43 + 2*t^8.48 + t^8.51 + 4*t^8.59 + 2*t^8.64 + 3*t^8.67 + 5*t^8.75 - t^8.84 + 3*t^8.92 - t^4.46/y - t^6.52/y + t^7.46/y + (2*t^7.62)/y + t^7.9/y + t^7.98/y + (2*t^8.07)/y + (2*t^8.15)/y + (2*t^8.23)/y + (2*t^8.31)/y + (2*t^8.39)/y + t^8.48/y - t^8.59/y + (2*t^8.75)/y + (2*t^8.84)/y + (4*t^8.92)/y - t^4.46*y - t^6.52*y + t^7.46*y + 2*t^7.62*y + t^7.9*y + t^7.98*y + 2*t^8.07*y + 2*t^8.15*y + 2*t^8.23*y + 2*t^8.31*y + 2*t^8.39*y + t^8.48*y - t^8.59*y + 2*t^8.75*y + 2*t^8.84*y + 4*t^8.92*y | g1^9*t^2.07 + g1*t^2.23 + t^2.39/g1^7 + g1^8*t^2.84 + g1^4*t^2.92 + t^3. + t^3.08/g1^4 + g1^3*t^3.69 + t^3.77/g1 + t^3.85/g1^5 + g1^18*t^4.13 + g1^10*t^4.29 + 3*g1^2*t^4.46 + (2*t^4.62)/g1^6 + (2*t^4.79)/g1^14 + g1^17*t^4.9 + g1^13*t^4.98 + g1^9*t^5.07 + 2*g1^5*t^5.15 + g1*t^5.23 + (2*t^5.31)/g1^3 + t^5.39/g1^7 + t^5.48/g1^11 + g1^16*t^5.67 + 2*g1^12*t^5.75 + 2*g1^8*t^5.84 + 3*g1^4*t^5.92 - t^6. + (2*t^6.08)/g1^4 + g1^27*t^6.2 + t^6.25/g1^12 + g1^19*t^6.36 + 3*g1^11*t^6.52 + g1^7*t^6.61 + 4*g1^3*t^6.69 + (4*t^6.85)/g1^5 - t^6.93/g1^9 + g1^26*t^6.97 + (2*t^7.02)/g1^13 + g1^22*t^7.05 + g1^18*t^7.13 + (2*t^7.18)/g1^21 + 2*g1^14*t^7.21 + g1^10*t^7.29 + 4*g1^6*t^7.38 + g1^2*t^7.46 + (3*t^7.54)/g1^2 + t^7.62/g1^6 + (3*t^7.71)/g1^10 + g1^25*t^7.74 + t^7.79/g1^14 + 2*g1^21*t^7.82 + t^7.87/g1^18 + 2*g1^17*t^7.9 + 3*g1^13*t^7.98 - g1^9*t^8.07 + 4*g1^5*t^8.15 - g1*t^8.23 + g1^36*t^8.26 + (3*t^8.31)/g1^3 - (3*t^8.39)/g1^7 + g1^28*t^8.43 + (2*t^8.48)/g1^11 + g1^24*t^8.51 + 4*g1^20*t^8.59 + (2*t^8.64)/g1^19 + 3*g1^16*t^8.67 + 5*g1^12*t^8.75 - g1^8*t^8.84 + 3*g1^4*t^8.92 - (g1^2*t^4.46)/y - (g1^11*t^6.52)/y + (g1^2*t^7.46)/y + (2*t^7.62)/(g1^6*y) + (g1^17*t^7.9)/y + (g1^13*t^7.98)/y + (2*g1^9*t^8.07)/y + (2*g1^5*t^8.15)/y + (2*g1*t^8.23)/y + (2*t^8.31)/(g1^3*y) + (2*t^8.39)/(g1^7*y) + t^8.48/(g1^11*y) - (g1^20*t^8.59)/y + (2*g1^12*t^8.75)/y + (2*g1^8*t^8.84)/y + (4*g1^4*t^8.92)/y - g1^2*t^4.46*y - g1^11*t^6.52*y + g1^2*t^7.46*y + (2*t^7.62*y)/g1^6 + g1^17*t^7.9*y + g1^13*t^7.98*y + 2*g1^9*t^8.07*y + 2*g1^5*t^8.15*y + 2*g1*t^8.23*y + (2*t^8.31*y)/g1^3 + (2*t^8.39*y)/g1^7 + (t^8.48*y)/g1^11 - g1^20*t^8.59*y + 2*g1^12*t^8.75*y + 2*g1^8*t^8.84*y + 4*g1^4*t^8.92*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 |
---|---|---|---|---|---|---|---|---|
56871 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_2M_7$ | 0.6053 | 0.7765 | 0.7795 | [X:[], M:[0.7479, 0.9834, 1.2521, 1.0, 1.0083, 0.7313, 1.0166], q:[0.5, 0.7521], qb:[0.5166, 0.2479], phi:[0.4958]] | t^2.19 + t^2.24 + t^2.29 + t^2.98 + t^3. + t^3.02 + t^3.05 + t^3.73 + t^3.76 + t^3.78 + t^4.39 + t^4.44 + 3*t^4.49 + 2*t^4.54 + 2*t^4.59 + t^5.17 + 2*t^5.22 + t^5.24 + 2*t^5.27 + 2*t^5.29 + t^5.32 + t^5.34 + t^5.93 + t^5.95 + 2*t^5.98 - t^6. - t^4.49/y - t^4.49*y | detail | |
56873 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6289 | 0.8202 | 0.7668 | [X:[], M:[0.7424, 0.9392, 1.2576, 1.0, 1.0304, 0.6816, 0.712], q:[0.5, 0.7576], qb:[0.5608, 0.2424], phi:[0.4848]] | t^2.04 + t^2.14 + t^2.23 + t^2.41 + t^2.82 + t^2.91 + t^3. + t^3.09 + t^3.68 + t^3.77 + t^4.09 + t^4.18 + 2*t^4.27 + t^4.36 + 3*t^4.45 + t^4.55 + 2*t^4.64 + 2*t^4.82 + t^4.86 + 2*t^4.95 + 2*t^5.04 + 3*t^5.14 + 2*t^5.23 + 2*t^5.32 + t^5.41 + t^5.5 + t^5.64 + 2*t^5.73 + 3*t^5.82 + 3*t^5.91 - t^6. - t^4.45/y - t^4.45*y | detail | |
56872 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6065 | 0.7781 | 0.7795 | [X:[], M:[0.7455, 0.9643, 1.2545, 1.0, 1.0179, 0.7098, 1.0179], q:[0.5, 0.7545], qb:[0.5357, 0.2455], phi:[0.4911]] | t^2.13 + t^2.24 + t^2.34 + t^2.89 + t^3. + 2*t^3.05 + t^3.71 + t^3.76 + t^3.82 + t^4.26 + t^4.37 + 3*t^4.47 + 2*t^4.58 + 2*t^4.69 + t^5.02 + t^5.13 + 2*t^5.18 + t^5.24 + 2*t^5.29 + t^5.34 + 2*t^5.4 + t^5.79 + t^5.84 + t^5.89 + 3*t^5.95 - 2*t^6. - t^4.47/y - t^4.47*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46872 | 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_4^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.7146 | 0.8745 | 0.8171 | [X:[], M:[0.9798, 0.8466, 1.0202, 1.0, 1.0767, 0.8264], q:[0.5, 0.5202], qb:[0.6534, 0.4798], phi:[0.4617]] | t^2.48 + t^2.54 + t^2.94 + t^3. + t^3.06 + t^3.23 + t^3.4 + t^4.26 + t^4.32 + 2*t^4.38 + t^4.45 + t^4.51 + t^4.78 + t^4.85 + t^4.91 + t^4.96 + t^5.02 + t^5.08 + t^5.31 + t^5.42 + t^5.48 + t^5.54 + t^5.71 + t^5.77 + t^5.88 - 2*t^6. - t^4.38/y - t^4.38*y | detail |