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 |
---|---|---|---|---|---|---|---|---|---|
2341 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6308 | 0.8234 | 0.7661 | [M:[1.0, 1.0808, 0.8384, 0.702, 0.7576, 1.1616, 0.6768], q:[0.7702, 0.2298], qb:[0.6086, 0.553], phi:[0.4596]] | [M:[[0], [4], [-8], [10], [-12], [8], [-16]], q:[[1], [-1]], qb:[[-7], [15]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.03 + t^2.106 + t^2.273 + t^2.348 + t^2.515 + t^2.758 + t^3. + t^3.242 + t^3.485 + t^4.061 + 2*t^4.136 + t^4.212 + t^4.303 + 2*t^4.379 + t^4.454 + 2*t^4.546 + 2*t^4.621 + 2*t^4.697 + 2*t^4.788 + 2*t^4.864 + 3*t^5.03 + 2*t^5.106 + 3*t^5.273 + 2*t^5.348 + 4*t^5.515 + 2*t^5.591 + 2*t^5.758 - t^6. + t^6.091 + t^6.167 + 2*t^6.242 + t^6.318 + t^6.334 + 2*t^6.409 + 3*t^6.485 + t^6.56 + 2*t^6.576 + 3*t^6.652 + 3*t^6.727 + 2*t^6.803 + 3*t^6.819 + 3*t^6.894 + 3*t^6.97 + 2*t^7.045 + 4*t^7.061 + 4*t^7.136 + 2*t^7.212 + 5*t^7.303 + 4*t^7.379 + 3*t^7.454 + 6*t^7.546 + 5*t^7.621 + 3*t^7.697 + 5*t^7.788 + 3*t^7.864 + t^7.939 + 2*t^8.03 - t^8.106 + t^8.122 + t^8.181 + t^8.197 + 2*t^8.273 + t^8.364 + t^8.424 + t^8.44 + t^8.515 + t^8.591 + 2*t^8.607 + t^8.666 + 3*t^8.682 + t^8.758 + 4*t^8.833 + 3*t^8.849 + 2*t^8.909 + 3*t^8.925 - t^4.379/y - t^6.409/y - t^6.485/y - t^6.652/y + t^7.136/y + t^7.303/y + (2*t^7.379)/y + t^7.454/y + t^7.546/y + (2*t^7.621)/y + (2*t^7.788)/y + (2*t^7.864)/y + (2*t^8.03)/y + (3*t^8.106)/y + (4*t^8.273)/y + (3*t^8.348)/y - t^8.44/y + (2*t^8.515)/y + t^8.591/y - t^8.682/y + (2*t^8.758)/y + t^8.833/y - t^8.925/y - t^4.379*y - t^6.409*y - t^6.485*y - t^6.652*y + t^7.136*y + t^7.303*y + 2*t^7.379*y + t^7.454*y + t^7.546*y + 2*t^7.621*y + 2*t^7.788*y + 2*t^7.864*y + 2*t^8.03*y + 3*t^8.106*y + 4*t^8.273*y + 3*t^8.348*y - t^8.44*y + 2*t^8.515*y + t^8.591*y - t^8.682*y + 2*t^8.758*y + t^8.833*y - t^8.925*y | t^2.03/g1^16 + g1^10*t^2.106 + t^2.273/g1^12 + g1^14*t^2.348 + t^2.515/g1^8 + t^2.758/g1^4 + t^3. + g1^4*t^3.242 + g1^8*t^3.485 + t^4.061/g1^32 + (2*t^4.136)/g1^6 + g1^20*t^4.212 + t^4.303/g1^28 + (2*t^4.379)/g1^2 + g1^24*t^4.454 + (2*t^4.546)/g1^24 + 2*g1^2*t^4.621 + 2*g1^28*t^4.697 + (2*t^4.788)/g1^20 + 2*g1^6*t^4.864 + (3*t^5.03)/g1^16 + 2*g1^10*t^5.106 + (3*t^5.273)/g1^12 + 2*g1^14*t^5.348 + (4*t^5.515)/g1^8 + 2*g1^18*t^5.591 + (2*t^5.758)/g1^4 - t^6. + t^6.091/g1^48 + t^6.167/g1^22 + 2*g1^4*t^6.242 + g1^30*t^6.318 + t^6.334/g1^44 + (2*t^6.409)/g1^18 + 3*g1^8*t^6.485 + g1^34*t^6.56 + (2*t^6.576)/g1^40 + (3*t^6.652)/g1^14 + 3*g1^12*t^6.727 + 2*g1^38*t^6.803 + (3*t^6.819)/g1^36 + (3*t^6.894)/g1^10 + 3*g1^16*t^6.97 + 2*g1^42*t^7.045 + (4*t^7.061)/g1^32 + (4*t^7.136)/g1^6 + 2*g1^20*t^7.212 + (5*t^7.303)/g1^28 + (4*t^7.379)/g1^2 + 3*g1^24*t^7.454 + (6*t^7.546)/g1^24 + 5*g1^2*t^7.621 + 3*g1^28*t^7.697 + (5*t^7.788)/g1^20 + 3*g1^6*t^7.864 + g1^32*t^7.939 + (2*t^8.03)/g1^16 - g1^10*t^8.106 + t^8.122/g1^64 + g1^36*t^8.181 + t^8.197/g1^38 + (2*t^8.273)/g1^12 + t^8.364/g1^60 + g1^40*t^8.424 + t^8.44/g1^34 + t^8.515/g1^8 + g1^18*t^8.591 + (2*t^8.607)/g1^56 + g1^44*t^8.666 + (3*t^8.682)/g1^30 + t^8.758/g1^4 + 4*g1^22*t^8.833 + (3*t^8.849)/g1^52 + 2*g1^48*t^8.909 + (3*t^8.925)/g1^26 - t^4.379/(g1^2*y) - t^6.409/(g1^18*y) - (g1^8*t^6.485)/y - t^6.652/(g1^14*y) + t^7.136/(g1^6*y) + t^7.303/(g1^28*y) + (2*t^7.379)/(g1^2*y) + (g1^24*t^7.454)/y + t^7.546/(g1^24*y) + (2*g1^2*t^7.621)/y + (2*t^7.788)/(g1^20*y) + (2*g1^6*t^7.864)/y + (2*t^8.03)/(g1^16*y) + (3*g1^10*t^8.106)/y + (4*t^8.273)/(g1^12*y) + (3*g1^14*t^8.348)/y - t^8.44/(g1^34*y) + (2*t^8.515)/(g1^8*y) + (g1^18*t^8.591)/y - t^8.682/(g1^30*y) + (2*t^8.758)/(g1^4*y) + (g1^22*t^8.833)/y - t^8.925/(g1^26*y) - (t^4.379*y)/g1^2 - (t^6.409*y)/g1^18 - g1^8*t^6.485*y - (t^6.652*y)/g1^14 + (t^7.136*y)/g1^6 + (t^7.303*y)/g1^28 + (2*t^7.379*y)/g1^2 + g1^24*t^7.454*y + (t^7.546*y)/g1^24 + 2*g1^2*t^7.621*y + (2*t^7.788*y)/g1^20 + 2*g1^6*t^7.864*y + (2*t^8.03*y)/g1^16 + 3*g1^10*t^8.106*y + (4*t^8.273*y)/g1^12 + 3*g1^14*t^8.348*y - (t^8.44*y)/g1^34 + (2*t^8.515*y)/g1^8 + g1^18*t^8.591*y - (t^8.682*y)/g1^30 + (2*t^8.758*y)/g1^4 + g1^22*t^8.833*y - (t^8.925*y)/g1^26 |
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 |
---|---|---|---|---|---|---|---|---|
4333 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6235 | 0.811 | 0.7688 | [M:[1.0, 1.0787, 0.8427, 0.6967, 0.764, 1.1573, 0.6853, 1.0787], q:[0.7697, 0.2303], qb:[0.6123, 0.545], phi:[0.4607]] | t^2.056 + t^2.09 + t^2.292 + t^2.326 + t^2.528 + t^3. + 2*t^3.236 + t^3.472 + t^4.112 + 2*t^4.146 + t^4.18 + t^4.348 + 2*t^4.382 + t^4.416 + 2*t^4.584 + 2*t^4.618 + 2*t^4.652 + t^4.82 + t^4.854 + 2*t^5.056 + t^5.09 + 3*t^5.292 + 3*t^5.326 + 4*t^5.528 + 3*t^5.562 + 2*t^5.764 - 2*t^6. - t^4.382/y - t^4.382*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 |
---|---|---|---|---|---|---|---|---|---|
1298 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.61 | 0.7825 | 0.7796 | [M:[1.0, 1.0801, 0.8398, 0.7003, 0.7597, 1.1602], q:[0.77, 0.23], qb:[0.6098, 0.5504], phi:[0.4599]] | t^2.101 + t^2.279 + t^2.341 + t^2.519 + t^2.76 + t^3. + t^3.24 + t^3.481 + t^3.961 + t^4.14 + t^4.202 + t^4.38 + t^4.442 + t^4.558 + 2*t^4.62 + 2*t^4.682 + t^4.798 + 2*t^4.86 + 2*t^5.039 + 2*t^5.101 + 2*t^5.279 + 2*t^5.341 + 3*t^5.519 + 2*t^5.581 + 2*t^5.76 - t^6. - t^4.38/y - t^4.38*y | detail |