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 |
---|---|---|---|---|---|---|---|---|---|
55482 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}^{2}$ + ${ }M_{5}M_{7}$ | 0.7357 | 0.9145 | 0.8046 | [M:[0.8378, 0.8102, 0.9724, 1.0, 1.0276, 0.7826, 0.9724], q:[0.5673, 0.5949], qb:[0.6225, 0.4051], phi:[0.4525]] | [M:[[1, 6], [0, 4], [-1, -2], [0, 0], [1, 2], [-1, 2], [-1, -2]], q:[[-1, -4], [0, -2]], qb:[[1, 0], [0, 2]], phi:[[0, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$ | ${}$ | -3 | t^2.348 + t^2.431 + t^2.513 + t^2.715 + 2*t^2.917 + t^3. + t^3.788 + t^4.275 + t^4.358 + t^4.44 + t^4.696 + t^4.762 + t^4.778 + t^4.844 + 2*t^4.861 + 2*t^4.927 + t^4.944 + t^5.01 + t^5.027 + t^5.063 + t^5.093 + t^5.146 + t^5.229 + 2*t^5.265 + 2*t^5.348 + 3*t^5.431 + 2*t^5.633 + t^5.715 + 2*t^5.834 - 3*t^6. - 2*t^6.083 + t^6.136 - t^6.166 + t^6.219 + t^6.302 - t^6.487 + t^6.504 - 2*t^6.569 + t^6.623 - t^6.652 + 3*t^6.705 + 3*t^6.788 + t^6.871 + t^6.954 + t^6.99 + t^7.043 + t^7.109 + t^7.126 + t^7.156 + 3*t^7.192 + 2*t^7.209 + 4*t^7.275 + 2*t^7.292 + 3*t^7.358 + 2*t^7.375 + t^7.411 + 2*t^7.44 + t^7.457 + t^7.477 + t^7.494 + t^7.523 + t^7.54 + 3*t^7.576 + t^7.606 + 2*t^7.613 + t^7.642 + t^7.659 + 2*t^7.679 + 2*t^7.696 + t^7.742 + 2*t^7.762 + 4*t^7.778 + t^7.808 + 2*t^7.844 + 2*t^7.861 + 2*t^7.944 + 2*t^7.98 - t^8.046 + 3*t^8.063 - t^8.129 + 4*t^8.146 + 2*t^8.182 - 2*t^8.212 + t^8.229 + t^8.265 - t^8.295 - t^8.348 - t^8.377 - t^8.414 - 5*t^8.431 + t^8.484 - t^8.496 - 6*t^8.513 + 3*t^8.55 + t^8.567 - t^8.579 - 2*t^8.596 + t^8.633 + 2*t^8.649 - t^8.679 - t^8.715 + t^8.732 + 2*t^8.752 - t^8.798 + t^8.815 - 2*t^8.834 + t^8.851 - 9*t^8.917 + t^8.934 + t^8.971 - t^4.358/y - t^6.705/y - t^6.788/y - t^6.871/y - t^7.073/y - t^7.275/y + t^7.44/y + t^7.642/y + t^7.778/y + t^7.844/y + t^7.861/y + t^7.927/y + t^7.944/y + t^8.01/y + t^8.063/y + t^8.146/y + t^8.229/y + (2*t^8.265)/y + (3*t^8.348)/y + (3*t^8.431)/y + t^8.513/y + (2*t^8.633)/y + t^8.715/y + t^8.834/y + (2*t^8.917)/y - t^4.358*y - t^6.705*y - t^6.788*y - t^6.871*y - t^7.073*y - t^7.275*y + t^7.44*y + t^7.642*y + t^7.778*y + t^7.844*y + t^7.861*y + t^7.927*y + t^7.944*y + t^8.01*y + t^8.063*y + t^8.146*y + t^8.229*y + 2*t^8.265*y + 3*t^8.348*y + 3*t^8.431*y + t^8.513*y + 2*t^8.633*y + t^8.715*y + t^8.834*y + 2*t^8.917*y | (g2^2*t^2.348)/g1 + g2^4*t^2.431 + g1*g2^6*t^2.513 + g2^2*t^2.715 + (2*t^2.917)/(g1*g2^2) + t^3. + g2^5*t^3.788 + t^4.275/(g1*g2) + g2*t^4.358 + g1*g2^3*t^4.44 + (g2^4*t^4.696)/g1^2 + t^4.762/(g1^2*g2^7) + (g2^6*t^4.778)/g1 + t^4.844/(g1*g2^5) + 2*g2^8*t^4.861 + (2*t^4.927)/g2^3 + g1*g2^10*t^4.944 + (g1*t^5.01)/g2 + g1^2*g2^12*t^5.027 + (g2^4*t^5.063)/g1 + g1^2*g2*t^5.093 + g2^6*t^5.146 + g1*g2^8*t^5.229 + (2*t^5.265)/g1^2 + (2*g2^2*t^5.348)/g1 + 3*g2^4*t^5.431 + (2*t^5.633)/g1 + g2^2*t^5.715 + (2*t^5.834)/(g1^2*g2^4) - 3*t^6. - 2*g1*g2^2*t^6.083 + (g2^7*t^6.136)/g1 - g1^2*g2^4*t^6.166 + g2^9*t^6.219 + g1*g2^11*t^6.302 - t^6.487/(g1*g2^6) + g2^7*t^6.504 - (2*t^6.569)/g2^4 + (g2*t^6.623)/g1^2 - (g1*t^6.652)/g2^2 + (3*g2^3*t^6.705)/g1 + 3*g2^5*t^6.788 + g1*g2^7*t^6.871 + g1^2*g2^9*t^6.954 + (g2*t^6.99)/g1 + (g2^6*t^7.043)/g1^3 + t^7.109/(g1^3*g2^5) + (g2^8*t^7.126)/g1^2 + g1*g2^5*t^7.156 + (3*t^7.192)/(g1^2*g2^3) + (2*g2^10*t^7.209)/g1 + (4*t^7.275)/(g1*g2) + 2*g2^12*t^7.292 + 3*g2*t^7.358 + 2*g1*g2^14*t^7.375 + (g2^6*t^7.411)/g1^2 + 2*g1*g2^3*t^7.44 + g1^2*g2^16*t^7.457 + t^7.477/(g1^2*g2^5) + (g2^8*t^7.494)/g1 + g1^2*g2^5*t^7.523 + g1^3*g2^18*t^7.54 + 3*g2^10*t^7.576 + g1^3*g2^7*t^7.606 + (2*g2^2*t^7.613)/g1^3 + t^7.642/g2 + g1*g2^12*t^7.659 + (2*t^7.679)/(g1^3*g2^9) + (2*g2^4*t^7.696)/g1^2 + g1^2*g2^14*t^7.742 + (2*t^7.762)/(g1^2*g2^7) + (4*g2^6*t^7.778)/g1 + g1^2*g2^3*t^7.808 + (2*t^7.844)/(g1*g2^5) + 2*g2^8*t^7.861 + 2*g1*g2^10*t^7.944 + (2*g2^2*t^7.98)/g1^2 - t^8.046/(g1^2*g2^9) + (3*g2^4*t^8.063)/g1 - t^8.129/(g1*g2^7) + 4*g2^6*t^8.146 + (2*t^8.182)/(g1^3*g2^2) - (2*t^8.212)/g2^5 + g1*g2^8*t^8.229 + t^8.265/g1^2 - (g1*t^8.295)/g2^3 - (g2^2*t^8.348)/g1 - (g1^2*t^8.377)/g2 - t^8.414/(g1*g2^9) - 5*g2^4*t^8.431 + (g2^9*t^8.484)/g1^2 - t^8.496/g2^7 - 6*g1*g2^6*t^8.513 + (3*t^8.55)/(g1^2*g2^2) + (g2^11*t^8.567)/g1 - (g1*t^8.579)/g2^5 - 2*g1^2*g2^8*t^8.596 + t^8.633/g1 + 2*g2^13*t^8.649 - g1^3*g2^10*t^8.679 - g2^2*t^8.715 + g1*g2^15*t^8.732 + (2*t^8.752)/(g1^3*g2^6) - g1*g2^4*t^8.798 + g1^2*g2^17*t^8.815 - (2*t^8.834)/(g1^2*g2^4) + (g2^9*t^8.851)/g1 - (9*t^8.917)/(g1*g2^2) + g2^11*t^8.934 + (g2^3*t^8.971)/g1^3 - (g2*t^4.358)/y - (g2^3*t^6.705)/(g1*y) - (g2^5*t^6.788)/y - (g1*g2^7*t^6.871)/y - (g2^3*t^7.073)/y - t^7.275/(g1*g2*y) + (g1*g2^3*t^7.44)/y + t^7.642/(g2*y) + (g2^6*t^7.778)/(g1*y) + t^7.844/(g1*g2^5*y) + (g2^8*t^7.861)/y + t^7.927/(g2^3*y) + (g1*g2^10*t^7.944)/y + (g1*t^8.01)/(g2*y) + (g2^4*t^8.063)/(g1*y) + (g2^6*t^8.146)/y + (g1*g2^8*t^8.229)/y + (2*t^8.265)/(g1^2*y) + (3*g2^2*t^8.348)/(g1*y) + (3*g2^4*t^8.431)/y + (g1*g2^6*t^8.513)/y + (2*t^8.633)/(g1*y) + (g2^2*t^8.715)/y + t^8.834/(g1^2*g2^4*y) + (2*t^8.917)/(g1*g2^2*y) - g2*t^4.358*y - (g2^3*t^6.705*y)/g1 - g2^5*t^6.788*y - g1*g2^7*t^6.871*y - g2^3*t^7.073*y - (t^7.275*y)/(g1*g2) + g1*g2^3*t^7.44*y + (t^7.642*y)/g2 + (g2^6*t^7.778*y)/g1 + (t^7.844*y)/(g1*g2^5) + g2^8*t^7.861*y + (t^7.927*y)/g2^3 + g1*g2^10*t^7.944*y + (g1*t^8.01*y)/g2 + (g2^4*t^8.063*y)/g1 + g2^6*t^8.146*y + g1*g2^8*t^8.229*y + (2*t^8.265*y)/g1^2 + (3*g2^2*t^8.348*y)/g1 + 3*g2^4*t^8.431*y + g1*g2^6*t^8.513*y + (2*t^8.633*y)/g1 + g2^2*t^8.715*y + (t^8.834*y)/(g1^2*g2^4) + (2*t^8.917*y)/(g1*g2^2) |
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 |
---|---|---|---|---|---|---|---|---|---|
47111 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}^{2}$ | 0.7344 | 0.9115 | 0.8058 | [M:[0.8102, 0.8102, 1.0, 1.0, 1.0, 0.8102], q:[0.5949, 0.5949], qb:[0.5949, 0.4051], phi:[0.4525]] | 3*t^2.431 + t^2.715 + 3*t^3. + t^3.788 + 3*t^4.358 + 6*t^4.861 + 6*t^4.927 + 3*t^5.146 + 7*t^5.431 + 3*t^5.715 - 4*t^6. - t^4.358/y - t^4.358*y | detail |