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 |
---|---|---|---|---|---|---|---|---|---|
1287 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7363 | 0.9181 | 0.802 | [M:[0.9094, 0.9094, 0.9094, 1.0906, 0.9094, 0.9094, 0.7282], q:[0.6359, 0.4547], qb:[0.4547, 0.6359], phi:[0.4547]] | [M:[[-2, -2], [-8, -4], [4, 0], [2, 2], [-2, -2], [-2, -2], [-6, -6]], q:[[6, 4], [-4, -2]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$ | ${}$ | -8 | t^2.184 + 6*t^2.728 + 3*t^4.092 + t^4.369 + 4*t^4.636 + 6*t^4.913 + 3*t^5.18 + 17*t^5.456 - 8*t^6. + 3*t^6.277 - 5*t^6.544 + t^6.553 + 18*t^6.82 + 6*t^7.097 + 13*t^7.364 + 17*t^7.641 + 3*t^7.908 + 32*t^8.184 - 7*t^8.451 + 3*t^8.461 - 38*t^8.728 + t^8.738 - t^4.364/y - t^6.549/y - (5*t^7.092)/y + (5*t^7.636)/y + (6*t^7.913)/y + t^8.18/y + (15*t^8.456)/y - t^8.733/y - t^4.364*y - t^6.549*y - 5*t^7.092*y + 5*t^7.636*y + 6*t^7.913*y + t^8.18*y + 15*t^8.456*y - t^8.733*y | t^2.184/(g1^6*g2^6) + g1^4*t^2.728 + t^2.728/(g1^8*g2^4) + (4*t^2.728)/(g1^2*g2^2) + t^4.092/(g1^9*g2^5) + t^4.092/(g1^3*g2^3) + (g1^3*t^4.092)/g2 + t^4.369/(g1^12*g2^12) + t^4.636/(g1^5*g2) + 2*g1*g2*t^4.636 + g1^7*g2^3*t^4.636 + t^4.913/(g1^14*g2^10) + (4*t^4.913)/(g1^8*g2^8) + t^4.913/(g1^2*g2^6) + (g2^3*t^5.18)/g1 + g1^5*g2^5*t^5.18 + g1^11*g2^7*t^5.18 + g1^8*t^5.456 + t^5.456/(g1^16*g2^8) + (3*t^5.456)/(g1^10*g2^6) + (9*t^5.456)/(g1^4*g2^4) + (3*g1^2*t^5.456)/g2^2 - 4*t^6. - (2*t^6.)/(g1^6*g2^2) - 2*g1^6*g2^2*t^6. + t^6.277/(g1^15*g2^11) + t^6.277/(g1^9*g2^9) + t^6.277/(g1^3*g2^7) - (g2^2*t^6.544)/g1^2 - 3*g1^4*g2^4*t^6.544 - g1^10*g2^6*t^6.544 + t^6.553/(g1^18*g2^18) + t^6.82/(g1^17*g2^9) + (5*t^6.82)/(g1^11*g2^7) + (6*t^6.82)/(g1^5*g2^5) + (5*g1*t^6.82)/g2^3 + (g1^7*t^6.82)/g2 + t^7.097/(g1^20*g2^16) + (4*t^7.097)/(g1^14*g2^14) + t^7.097/(g1^8*g2^12) + t^7.364/(g1^13*g2^5) + (3*t^7.364)/(g1^7*g2^3) + (5*t^7.364)/(g1*g2) + 3*g1^5*g2*t^7.364 + g1^11*g2^3*t^7.364 + t^7.641/(g1^22*g2^14) + (3*t^7.641)/(g1^16*g2^12) + (9*t^7.641)/(g1^10*g2^10) + (3*t^7.641)/(g1^4*g2^8) + (g1^2*t^7.641)/g2^6 + t^7.908/(g1^9*g2) + (g2*t^7.908)/g1^3 - g1^3*g2^3*t^7.908 + g1^9*g2^5*t^7.908 + g1^15*g2^7*t^7.908 + g1^12*t^8.184 + t^8.184/(g1^24*g2^12) + (4*t^8.184)/(g1^18*g2^10) + (5*t^8.184)/(g1^12*g2^8) + (12*t^8.184)/(g1^6*g2^6) + (5*t^8.184)/g2^4 + (4*g1^6*t^8.184)/g2^2 - 2*g1*g2^5*t^8.451 - 3*g1^7*g2^7*t^8.451 - 2*g1^13*g2^9*t^8.451 + t^8.461/(g1^21*g2^17) + t^8.461/(g1^15*g2^15) + t^8.461/(g1^9*g2^13) - 9*g1^4*t^8.728 - t^8.728/(g1^14*g2^6) - (9*t^8.728)/(g1^8*g2^4) - (18*t^8.728)/(g1^2*g2^2) - g1^10*g2^2*t^8.728 + t^8.738/(g1^24*g2^24) - t^4.364/(g1*g2*y) - t^6.549/(g1^7*g2^7*y) - t^7.092/(g1^9*g2^5*y) - (3*t^7.092)/(g1^3*g2^3*y) - (g1^3*t^7.092)/(g2*y) + t^7.636/(g1^5*g2*y) + (3*g1*g2*t^7.636)/y + (g1^7*g2^3*t^7.636)/y + t^7.913/(g1^14*g2^10*y) + (4*t^7.913)/(g1^8*g2^8*y) + t^7.913/(g1^2*g2^6*y) + (g1^5*g2^5*t^8.18)/y + (4*t^8.456)/(g1^10*g2^6*y) + (7*t^8.456)/(g1^4*g2^4*y) + (4*g1^2*t^8.456)/(g2^2*y) - t^8.733/(g1^13*g2^13*y) - (t^4.364*y)/(g1*g2) - (t^6.549*y)/(g1^7*g2^7) - (t^7.092*y)/(g1^9*g2^5) - (3*t^7.092*y)/(g1^3*g2^3) - (g1^3*t^7.092*y)/g2 + (t^7.636*y)/(g1^5*g2) + 3*g1*g2*t^7.636*y + g1^7*g2^3*t^7.636*y + (t^7.913*y)/(g1^14*g2^10) + (4*t^7.913*y)/(g1^8*g2^8) + (t^7.913*y)/(g1^2*g2^6) + g1^5*g2^5*t^8.18*y + (4*t^8.456*y)/(g1^10*g2^6) + (7*t^8.456*y)/(g1^4*g2^4) + (4*g1^2*t^8.456*y)/g2^2 - (t^8.733*y)/(g1^13*g2^13) |
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
807 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7171 | 0.8807 | 0.8142 | [M:[0.9214, 0.9214, 0.9214, 1.0786, 0.9214, 0.9214], q:[0.6179, 0.4607], qb:[0.4607, 0.6179], phi:[0.4607]] | 6*t^2.764 + t^3.707 + 3*t^4.146 + 4*t^4.618 + 3*t^5.09 + 17*t^5.528 - 8*t^6. - t^4.382/y - t^4.382*y | detail |