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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2407 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6554 | 0.8671 | 0.7559 | [X:[], M:[0.9578, 1.1265, 0.9578, 0.8735, 0.7395, 0.7395, 0.8238], q:[0.7395, 0.3027], qb:[0.4367, 0.4367], phi:[0.5211]] | [X:[], M:[[4], [-12], [4], [12], [1], [1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_6$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_7$, $ M_4$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5M_7$, $ M_6M_7$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_2$, $ M_4M_5$, $ M_4M_6$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_7^2$, $ M_1M_5$, $ M_3M_5$, $ M_1M_6$, $ M_3M_6$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4^2$, $ M_1M_7$, $ M_3M_7$, $ M_1M_4$, $ M_3M_4$, $ M_5\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_7\phi_1q_2^2$ | $M_4\phi_1q_2^2$, $ M_7q_1\tilde{q}_2$ | -4 | 4*t^2.22 + t^2.47 + t^2.62 + 2*t^2.87 + t^3.38 + t^3.53 + 3*t^4.18 + 10*t^4.44 + 4*t^4.69 + 4*t^4.84 + t^4.94 + 9*t^5.09 + t^5.24 + 2*t^5.34 + 2*t^5.49 + 2*t^5.6 + 6*t^5.75 + t^5.85 - 4*t^6. + t^6.15 + 10*t^6.4 + 19*t^6.66 + t^6.76 + 3*t^6.8 + 7*t^6.91 + 14*t^7.06 + 2*t^7.16 + 19*t^7.31 + t^7.41 + 4*t^7.46 + 4*t^7.56 + 10*t^7.71 + 4*t^7.82 + t^7.86 + 14*t^7.97 + 2*t^8.07 + 2*t^8.11 - 16*t^8.22 + t^8.32 + 11*t^8.37 - 8*t^8.47 + 20*t^8.62 + t^8.77 + 18*t^8.87 + 2*t^8.98 - t^4.56/y - (2*t^6.78)/y - t^7.03/y + (5*t^7.44)/y + (5*t^7.69)/y + (4*t^7.84)/y + (10*t^8.09)/y + (4*t^8.34)/y + (2*t^8.49)/y + (4*t^8.6)/y + (5*t^8.75)/y + t^8.85/y - t^4.56*y - 2*t^6.78*y - t^7.03*y + 5*t^7.44*y + 5*t^7.69*y + 4*t^7.84*y + 10*t^8.09*y + 4*t^8.34*y + 2*t^8.49*y + 4*t^8.6*y + 5*t^8.75*y + t^8.85*y | 4*g1*t^2.22 + t^2.47/g1^7 + g1^12*t^2.62 + 2*g1^4*t^2.87 + t^3.38/g1^12 + g1^7*t^3.53 + 3*g1^10*t^4.18 + 10*g1^2*t^4.44 + (4*t^4.69)/g1^6 + 4*g1^13*t^4.84 + t^4.94/g1^14 + 9*g1^5*t^5.09 + g1^24*t^5.24 + (2*t^5.34)/g1^3 + 2*g1^16*t^5.49 + (2*t^5.6)/g1^11 + 6*g1^8*t^5.75 + t^5.85/g1^19 - 4*t^6. + g1^19*t^6.15 + 10*g1^11*t^6.4 + 19*g1^3*t^6.66 + t^6.76/g1^24 + 3*g1^22*t^6.8 + (7*t^6.91)/g1^5 + 14*g1^14*t^7.06 + (2*t^7.16)/g1^13 + 19*g1^6*t^7.31 + t^7.41/g1^21 + 4*g1^25*t^7.46 + (4*t^7.56)/g1^2 + 10*g1^17*t^7.71 + (4*t^7.82)/g1^10 + g1^36*t^7.86 + 14*g1^9*t^7.97 + (2*t^8.07)/g1^18 + 2*g1^28*t^8.11 - 16*g1*t^8.22 + t^8.32/g1^26 + 11*g1^20*t^8.37 - (8*t^8.47)/g1^7 + 20*g1^12*t^8.62 + g1^31*t^8.77 + 18*g1^4*t^8.87 + (2*t^8.98)/g1^23 - t^4.56/(g1^2*y) - (2*t^6.78)/(g1*y) - t^7.03/(g1^9*y) + (5*g1^2*t^7.44)/y + (5*t^7.69)/(g1^6*y) + (4*g1^13*t^7.84)/y + (10*g1^5*t^8.09)/y + (4*t^8.34)/(g1^3*y) + (2*g1^16*t^8.49)/y + (4*t^8.6)/(g1^11*y) + (5*g1^8*t^8.75)/y + t^8.85/(g1^19*y) - (t^4.56*y)/g1^2 - (2*t^6.78*y)/g1 - (t^7.03*y)/g1^9 + 5*g1^2*t^7.44*y + (5*t^7.69*y)/g1^6 + 4*g1^13*t^7.84*y + 10*g1^5*t^8.09*y + (4*t^8.34*y)/g1^3 + 2*g1^16*t^8.49*y + (4*t^8.6*y)/g1^11 + 5*g1^8*t^8.75*y + (t^8.85*y)/g1^19 |
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 |
---|---|---|---|---|---|---|---|---|
4444 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6546 | 0.8684 | 0.7538 | [X:[], M:[0.9474, 1.1579, 0.9474, 0.8421, 0.7368, 0.7368, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 4*t^2.21 + 2*t^2.53 + 2*t^2.84 + 2*t^3.47 + 3*t^4.11 + 10*t^4.42 + 8*t^4.74 + 11*t^5.05 + 4*t^5.37 + 8*t^5.68 - 2*t^6. - t^4.58/y - t^4.58*y | detail | {a: 71841/109744, c: 47653/54872, M1: 18/19, M2: 22/19, M3: 18/19, M4: 16/19, M5: 14/19, M6: 14/19, M7: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
4446 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ | 0.6708 | 0.8928 | 0.7514 | [X:[], M:[0.9658, 1.1027, 0.9658, 0.8973, 0.7414, 0.7414, 0.8099, 0.8099], q:[0.7414, 0.2928], qb:[0.4486, 0.4486], phi:[0.5171]] | 4*t^2.22 + 2*t^2.43 + t^2.69 + 2*t^2.9 + t^3.31 + 3*t^4.24 + 10*t^4.45 + 8*t^4.65 + 3*t^4.86 + 4*t^4.92 + 10*t^5.12 + 4*t^5.33 + t^5.38 + 2*t^5.53 + 2*t^5.59 + 2*t^5.74 + 2*t^5.79 - 5*t^6. - t^4.55/y - t^4.55*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 |
---|---|---|---|---|---|---|---|---|---|
1351 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6409 | 0.8444 | 0.759 | [X:[], M:[0.9489, 1.1534, 0.9489, 0.8466, 0.7372, 0.7372], q:[0.7372, 0.3139], qb:[0.4233, 0.4233], phi:[0.5256]] | 4*t^2.21 + t^2.54 + 2*t^2.85 + t^3.46 + 2*t^3.48 + 3*t^4.12 + 10*t^4.42 + 4*t^4.75 + 8*t^5.06 + t^5.08 + 2*t^5.39 + 2*t^5.67 + 10*t^5.69 - 5*t^6. - t^4.58/y - t^4.58*y | detail |