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 |
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5557 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_1M_8$ + $ M_9\phi_1q_2^2$ | 0.7115 | 0.9096 | 0.7822 | [X:[], M:[1.1699, 1.1069, 0.9561, 1.0, 0.8301, 0.7233, 0.7671, 0.8301, 0.6794], q:[0.7767, 0.437], qb:[0.3931, 0.6069], phi:[0.4466]] | [X:[], M:[[-3], [4], [-11], [0], [3], [-1], [10], [3], [-12]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_9$, $ M_6$, $ M_7$, $ M_5$, $ M_8$, $ M_3$, $ M_4$, $ M_2$, $ q_1q_2$, $ M_9^2$, $ q_1\tilde{q}_2$, $ M_6M_9$, $ M_6^2$, $ M_7M_9$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_9$, $ M_8M_9$, $ M_7^2$, $ M_5M_6$, $ M_6M_8$, $ M_5M_7$, $ M_7M_8$, $ M_3M_9$, $ M_5^2$, $ M_5M_8$, $ M_8^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_4M_9$, $ M_4M_6$, $ M_3M_7$, $ M_4M_7$, $ M_3M_5$, $ M_3M_8$, $ M_2M_9$, $ M_4M_5$, $ M_2M_6$, $ M_4M_8$, $ M_2M_7$, $ M_9q_1q_2$, $ M_3^2$, $ M_2M_5$, $ M_2M_8$, $ M_6q_1q_2$, $ M_7q_1q_2$ | . | -2 | t^2.04 + t^2.17 + t^2.3 + 2*t^2.49 + t^2.87 + t^3. + t^3.32 + t^3.64 + t^4.08 + t^4.15 + t^4.21 + 3*t^4.34 + 2*t^4.47 + 2*t^4.53 + t^4.6 + 2*t^4.66 + 2*t^4.79 + t^4.91 + 4*t^4.98 + 2*t^5.04 + 2*t^5.17 + t^5.3 + 2*t^5.36 + 2*t^5.49 + t^5.62 + t^5.68 + t^5.74 + 3*t^5.81 + t^5.94 - 2*t^6. + t^6.11 + t^6.13 + t^6.19 + t^6.25 + t^6.32 + 3*t^6.38 + t^6.45 + 3*t^6.51 + 2*t^6.57 + 6*t^6.64 + t^6.7 + 2*t^6.77 + 3*t^6.83 + t^6.9 + t^6.94 + 4*t^6.96 + 3*t^7.02 + 2*t^7.08 + 2*t^7.09 + 3*t^7.15 + 3*t^7.21 + 4*t^7.28 + 2*t^7.34 + 2*t^7.4 + 7*t^7.47 + 3*t^7.53 + t^7.6 + 3*t^7.66 + t^7.72 + t^7.78 + 3*t^7.79 + 3*t^7.85 + t^7.91 + t^7.92 + 4*t^7.98 - t^8.04 + 3*t^8.11 + t^8.15 - 3*t^8.17 + 2*t^8.23 + t^8.24 + t^8.28 + t^8.3 + 3*t^8.42 + t^8.43 - 3*t^8.49 + 3*t^8.55 + 3*t^8.61 + 3*t^8.62 + 6*t^8.68 + t^8.74 + t^8.75 + 4*t^8.81 + 6*t^8.94 + t^8.98 - t^4.34/y - t^6.38/y - t^6.51/y - t^6.64/y - t^6.83/y + t^7.34/y + (2*t^7.47)/y + (2*t^7.53)/y + (2*t^7.66)/y + (2*t^7.79)/y + t^7.85/y + t^7.91/y + t^7.98/y + (3*t^8.04)/y + (3*t^8.17)/y + (2*t^8.3)/y + (3*t^8.36)/y - t^8.42/y + (3*t^8.49)/y - t^8.55/y + t^8.62/y - t^8.68/y + (2*t^8.81)/y - t^4.34*y - t^6.38*y - t^6.51*y - t^6.64*y - t^6.83*y + t^7.34*y + 2*t^7.47*y + 2*t^7.53*y + 2*t^7.66*y + 2*t^7.79*y + t^7.85*y + t^7.91*y + t^7.98*y + 3*t^8.04*y + 3*t^8.17*y + 2*t^8.3*y + 3*t^8.36*y - t^8.42*y + 3*t^8.49*y - t^8.55*y + t^8.62*y - t^8.68*y + 2*t^8.81*y | t^2.04/g1^12 + t^2.17/g1 + g1^10*t^2.3 + 2*g1^3*t^2.49 + t^2.87/g1^11 + t^3. + g1^4*t^3.32 + g1^8*t^3.64 + t^4.08/g1^24 + g1^5*t^4.15 + t^4.21/g1^13 + (3*t^4.34)/g1^2 + 2*g1^9*t^4.47 + (2*t^4.53)/g1^9 + g1^20*t^4.6 + 2*g1^2*t^4.66 + 2*g1^13*t^4.79 + t^4.91/g1^23 + 4*g1^6*t^4.98 + (2*t^5.04)/g1^12 + (2*t^5.17)/g1 + g1^10*t^5.3 + (2*t^5.36)/g1^8 + 2*g1^3*t^5.49 + g1^14*t^5.62 + t^5.68/g1^4 + t^5.74/g1^22 + 3*g1^7*t^5.81 + g1^18*t^5.94 - 2*t^6. + t^6.11/g1^36 + g1^11*t^6.13 + t^6.19/g1^7 + t^6.25/g1^25 + g1^4*t^6.32 + (3*t^6.38)/g1^14 + g1^15*t^6.45 + (3*t^6.51)/g1^3 + (2*t^6.57)/g1^21 + 6*g1^8*t^6.64 + t^6.7/g1^10 + 2*g1^19*t^6.77 + 3*g1*t^6.83 + g1^30*t^6.9 + t^6.94/g1^35 + 4*g1^12*t^6.96 + (3*t^7.02)/g1^6 + (2*t^7.08)/g1^24 + 2*g1^23*t^7.09 + 3*g1^5*t^7.15 + (3*t^7.21)/g1^13 + 4*g1^16*t^7.28 + (2*t^7.34)/g1^2 + (2*t^7.4)/g1^20 + 7*g1^9*t^7.47 + (3*t^7.53)/g1^9 + g1^20*t^7.6 + 3*g1^2*t^7.66 + t^7.72/g1^16 + t^7.78/g1^34 + 3*g1^13*t^7.79 + (3*t^7.85)/g1^5 + t^7.91/g1^23 + g1^24*t^7.92 + 4*g1^6*t^7.98 - t^8.04/g1^12 + 3*g1^17*t^8.11 + t^8.15/g1^48 - (3*t^8.17)/g1 + (2*t^8.23)/g1^19 + g1^28*t^8.24 + t^8.28/g1^37 + g1^10*t^8.3 + (3*t^8.42)/g1^26 + g1^21*t^8.43 - 3*g1^3*t^8.49 + (3*t^8.55)/g1^15 + (3*t^8.61)/g1^33 + 3*g1^14*t^8.62 + (6*t^8.68)/g1^4 + t^8.74/g1^22 + g1^25*t^8.75 + 4*g1^7*t^8.81 + 6*g1^18*t^8.94 + t^8.98/g1^47 - t^4.34/(g1^2*y) - t^6.38/(g1^14*y) - t^6.51/(g1^3*y) - (g1^8*t^6.64)/y - (g1*t^6.83)/y + t^7.34/(g1^2*y) + (2*g1^9*t^7.47)/y + (2*t^7.53)/(g1^9*y) + (2*g1^2*t^7.66)/y + (2*g1^13*t^7.79)/y + t^7.85/(g1^5*y) + t^7.91/(g1^23*y) + (g1^6*t^7.98)/y + (3*t^8.04)/(g1^12*y) + (3*t^8.17)/(g1*y) + (2*g1^10*t^8.3)/y + (3*t^8.36)/(g1^8*y) - t^8.42/(g1^26*y) + (3*g1^3*t^8.49)/y - t^8.55/(g1^15*y) + (g1^14*t^8.62)/y - t^8.68/(g1^4*y) + (2*g1^7*t^8.81)/y - (t^4.34*y)/g1^2 - (t^6.38*y)/g1^14 - (t^6.51*y)/g1^3 - g1^8*t^6.64*y - g1*t^6.83*y + (t^7.34*y)/g1^2 + 2*g1^9*t^7.47*y + (2*t^7.53*y)/g1^9 + 2*g1^2*t^7.66*y + 2*g1^13*t^7.79*y + (t^7.85*y)/g1^5 + (t^7.91*y)/g1^23 + g1^6*t^7.98*y + (3*t^8.04*y)/g1^12 + (3*t^8.17*y)/g1 + 2*g1^10*t^8.3*y + (3*t^8.36*y)/g1^8 - (t^8.42*y)/g1^26 + 3*g1^3*t^8.49*y - (t^8.55*y)/g1^15 + g1^14*t^8.62*y - (t^8.68*y)/g1^4 + 2*g1^7*t^8.81*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 |
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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 |
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4012 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_1M_8$ | 0.6908 | 0.8692 | 0.7947 | [X:[], M:[1.1711, 1.1052, 0.9606, 1.0, 0.8289, 0.7237, 0.7631, 0.8289], q:[0.7763, 0.4342], qb:[0.3948, 0.6052], phi:[0.4474]] | t^2.17 + t^2.29 + 2*t^2.49 + t^2.88 + t^3. + t^3.32 + t^3.63 + t^3.95 + t^4.14 + 2*t^4.34 + 2*t^4.46 + t^4.58 + 2*t^4.66 + 2*t^4.78 + 4*t^4.97 + t^5.05 + 2*t^5.17 + t^5.29 + t^5.37 + 2*t^5.49 + t^5.6 + t^5.76 + 3*t^5.8 + t^5.92 - 2*t^6. - t^4.34/y - t^4.34*y | detail |