Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
46946	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$	0.7089	0.895	0.7921	[M:[0.9777, 0.9907, 1.1181, 0.6772, 0.7731, 0.6902], q:[0.5749, 0.4474], qb:[0.4345, 0.7795], phi:[0.4409]]	[M:[[1, -7], [-1, -11], [0, 4], [0, 6], [1, 3], [-2, 2]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$	${}$	-2	t^2.032 + t^2.071 + t^2.319 + t^2.646 + t^2.933 + t^2.972 + t^3.354 + t^3.642 + t^4.007 + 2*t^4.063 + t^4.102 + t^4.141 + 2*t^4.351 + 2*t^4.39 + t^4.638 + t^4.677 + t^4.716 + t^4.772 + 2*t^4.965 + 2*t^5.004 + t^5.042 + t^5.252 + 2*t^5.291 + t^5.386 + t^5.425 + 2*t^5.674 + t^5.712 + t^5.866 + t^5.905 + t^5.944 - 2*t^6. + t^6.078 + 2*t^6.095 + 2*t^6.134 + t^6.173 + t^6.212 + t^6.288 + t^6.326 + 2*t^6.382 + 2*t^6.421 + 2*t^6.46 + t^6.575 + t^6.653 + 2*t^6.67 + 3*t^6.709 + t^6.748 + t^6.787 + t^6.804 + t^6.843 - t^6.901 + t^6.958 + t^6.979 + 3*t^6.996 + 3*t^7.035 + 2*t^7.074 + t^7.091 + t^7.113 + 2*t^7.284 + 2*t^7.323 + 2*t^7.362 + 2*t^7.418 + t^7.457 + t^7.495 + t^7.571 + t^7.61 + 3*t^7.705 + 2*t^7.744 + t^7.783 + t^7.898 + 2*t^7.937 + 2*t^7.976 + t^7.993 + 2*t^8.014 - 3*t^8.032 - 2*t^8.071 + 3*t^8.127 + t^8.148 + 2*t^8.165 + t^8.185 + 2*t^8.204 + t^8.224 + t^8.243 + t^8.263 + t^8.282 - 3*t^8.319 + 2*t^8.397 + 3*t^8.414 + 2*t^8.453 + 2*t^8.492 + 2*t^8.531 + t^8.607 + 2*t^8.702 + t^8.723 + 2*t^8.74 + 4*t^8.779 + t^8.799 + t^8.818 + 2*t^8.835 + t^8.838 + t^8.857 + t^8.874 + t^8.877 + t^8.913 + t^8.916 - 4*t^8.933 - 4*t^8.972 + 2*t^8.989 - t^4.323/y - t^6.354/y - t^6.393/y - t^6.642/y + t^7.102/y - t^7.256/y - t^7.295/y + (2*t^7.351)/y + (2*t^7.39)/y + t^7.677/y + t^7.716/y + (2*t^7.965)/y + (3*t^8.004)/y + t^8.042/y + (2*t^8.252)/y + (2*t^8.291)/y - t^8.464/y + t^8.579/y + t^8.618/y + t^8.674/y + t^8.905/y - t^4.323*y - t^6.354*y - t^6.393*y - t^6.642*y + t^7.102*y - t^7.256*y - t^7.295*y + 2*t^7.351*y + 2*t^7.39*y + t^7.677*y + t^7.716*y + 2*t^7.965*y + 3*t^8.004*y + t^8.042*y + 2*t^8.252*y + 2*t^8.291*y - t^8.464*y + t^8.579*y + t^8.618*y + t^8.674*y + t^8.905*y	g2^6*t^2.032 + (g2^2*t^2.071)/g1^2 + g1*g2^3*t^2.319 + t^2.646/g2^4 + (g1*t^2.933)/g2^7 + t^2.972/(g1*g2^11) + g2^4*t^3.354 + g1*g2*t^3.642 + t^4.007/(g1^2*g2^10) + 2*g2^12*t^4.063 + (g2^8*t^4.102)/g1^2 + (g2^4*t^4.141)/g1^4 + 2*g1*g2^9*t^4.351 + (2*g2^5*t^4.39)/g1 + g1^2*g2^6*t^4.638 + g2^2*t^4.677 + t^4.716/(g1^2*g2^2) + g2^20*t^4.772 + (2*g1*t^4.965)/g2 + (2*t^5.004)/(g1*g2^5) + t^5.042/(g1^3*g2^9) + (g1^2*t^5.252)/g2^4 + (2*t^5.291)/g2^8 + g2^10*t^5.386 + (g2^6*t^5.425)/g1^2 + 2*g1*g2^7*t^5.674 + (g2^3*t^5.712)/g1 + (g1^2*t^5.866)/g2^14 + t^5.905/g2^18 + t^5.944/(g1^2*g2^22) - 2*t^6. + t^6.078/(g1^4*g2^8) + 2*g2^18*t^6.095 + (2*g2^14*t^6.134)/g1^2 + (g2^10*t^6.173)/g1^4 + (g2^6*t^6.212)/g1^6 + (g1*t^6.288)/g2^3 + t^6.326/(g1*g2^7) + 2*g1*g2^15*t^6.382 + (2*g2^11*t^6.421)/g1 + (2*g2^7*t^6.46)/g1^3 + (g1^2*t^6.575)/g2^6 + t^6.653/(g1^2*g2^14) + 2*g1^2*g2^12*t^6.67 + 3*g2^8*t^6.709 + (g2^4*t^6.748)/g1^2 + t^6.787/g1^4 + g2^26*t^6.804 + (g2^22*t^6.843)/g1^2 - (g1*t^6.901)/g2^13 + g1^3*g2^9*t^6.958 + t^6.979/(g1^3*g2^21) + 3*g1*g2^5*t^6.996 + (3*g2*t^7.035)/g1 + (2*t^7.074)/(g1^3*g2^3) + g1*g2^23*t^7.091 + t^7.113/(g1^5*g2^7) + 2*g1^2*g2^2*t^7.284 + (2*t^7.323)/g2^2 + (2*t^7.362)/(g1^2*g2^6) + 2*g2^16*t^7.418 + (g2^12*t^7.457)/g1^2 + (g2^8*t^7.495)/g1^4 + (g1^3*t^7.571)/g2 + (g1*t^7.61)/g2^5 + 3*g1*g2^13*t^7.705 + (2*g2^9*t^7.744)/g1 + (g2^5*t^7.783)/g1^3 + (g1^2*t^7.898)/g2^8 + (2*t^7.937)/g2^12 + (2*t^7.976)/(g1^2*g2^16) + g1^2*g2^10*t^7.993 + (2*t^8.014)/(g1^4*g2^20) - 3*g2^6*t^8.032 - (2*g2^2*t^8.071)/g1^2 + 3*g2^24*t^8.127 + t^8.148/(g1^6*g2^6) + (2*g2^20*t^8.165)/g1^2 + (g1^3*t^8.185)/g2^11 + (2*g2^16*t^8.204)/g1^4 + (g1*t^8.224)/g2^15 + (g2^12*t^8.243)/g1^6 + t^8.263/(g1*g2^19) + (g2^8*t^8.282)/g1^8 - 3*g1*g2^3*t^8.319 + (2*t^8.397)/(g1^3*g2^5) + 3*g1*g2^21*t^8.414 + (2*g2^17*t^8.453)/g1 + (2*g2^13*t^8.492)/g1^3 + (2*g2^9*t^8.531)/g1^5 + g1^2*t^8.607 + 2*g1^2*g2^18*t^8.702 + t^8.723/(g1^4*g2^12) + 2*g2^14*t^8.74 + (4*g2^10*t^8.779)/g1^2 + (g1^3*t^8.799)/g2^21 + (g2^6*t^8.818)/g1^4 + 2*g2^32*t^8.835 + (g1*t^8.838)/g2^25 + (g2^2*t^8.857)/g1^6 + (g2^28*t^8.874)/g1^2 + t^8.877/(g1*g2^29) + (g2^24*t^8.913)/g1^4 + t^8.916/(g1^3*g2^33) - (4*g1*t^8.933)/g2^7 - (4*t^8.972)/(g1*g2^11) + 2*g1^3*g2^15*t^8.989 - t^4.323/(g2^2*y) - (g2^4*t^6.354)/y - t^6.393/(g1^2*y) - (g1*g2*t^6.642)/y + (g2^8*t^7.102)/(g1^2*y) - (g1*t^7.256)/(g2^9*y) - t^7.295/(g1*g2^13*y) + (2*g1*g2^9*t^7.351)/y + (2*g2^5*t^7.39)/(g1*y) + (g2^2*t^7.677)/y + t^7.716/(g1^2*g2^2*y) + (2*g1*t^7.965)/(g2*y) + (3*t^8.004)/(g1*g2^5*y) + t^8.042/(g1^3*g2^9*y) + (2*g1^2*t^8.252)/(g2^4*y) + (2*t^8.291)/(g2^8*y) - (g2^2*t^8.464)/(g1^4*y) + (g1*t^8.579)/(g2^11*y) + t^8.618/(g1*g2^15*y) + (g1*g2^7*t^8.674)/y + t^8.905/(g2^18*y) - (t^4.323*y)/g2^2 - g2^4*t^6.354*y - (t^6.393*y)/g1^2 - g1*g2*t^6.642*y + (g2^8*t^7.102*y)/g1^2 - (g1*t^7.256*y)/g2^9 - (t^7.295*y)/(g1*g2^13) + 2*g1*g2^9*t^7.351*y + (2*g2^5*t^7.39*y)/g1 + g2^2*t^7.677*y + (t^7.716*y)/(g1^2*g2^2) + (2*g1*t^7.965*y)/g2 + (3*t^8.004*y)/(g1*g2^5) + (t^8.042*y)/(g1^3*g2^9) + (2*g1^2*t^8.252*y)/g2^4 + (2*t^8.291*y)/g2^8 - (g2^2*t^8.464*y)/g1^4 + (g1*t^8.579*y)/g2^11 + (t^8.618*y)/(g1*g2^15) + g1*g2^7*t^8.674*y + (t^8.905*y)/g2^18

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
50863	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}^{2}$	0.7088	0.8951	0.7919	[M:[0.9806, 1.0, 1.1154, 0.6731, 0.7692, 0.6925], q:[0.5674, 0.452], qb:[0.4326, 0.7789], phi:[0.4423]]	t^2.019 + t^2.078 + t^2.307 + t^2.654 + t^2.942 + t^3. + t^3.346 + t^3.634 + 3*t^4.039 + t^4.097 + t^4.155 + 2*t^4.327 + 2*t^4.385 + t^4.615 + t^4.673 + 2*t^4.731 + 2*t^4.961 + 2*t^5.019 + t^5.078 + t^5.249 + 2*t^5.307 + t^5.366 + t^5.424 + 2*t^5.654 + t^5.712 + t^5.884 + t^5.942 - t^6. - t^4.327/y - t^4.327*y	detail
55087	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$	0.7264	0.927	0.7837	[M:[0.986, 0.9825, 1.1181, 0.6772, 0.7813, 0.6737, 0.7778], q:[0.5748, 0.4392], qb:[0.4427, 0.7795], phi:[0.4409]]	t^2.021 + t^2.032 + t^2.333 + t^2.344 + t^2.646 + t^2.948 + t^2.958 + t^3.354 + t^3.958 + t^4.042 + t^4.053 + 2*t^4.063 + t^4.355 + 3*t^4.365 + 2*t^4.375 + 2*t^4.667 + 2*t^4.677 + t^4.688 + t^4.772 + t^4.969 + 3*t^4.979 + 2*t^4.989 + t^5.281 + 3*t^5.291 + t^5.302 + t^5.376 + t^5.386 + t^5.688 + t^5.698 + t^5.895 + t^5.905 + t^5.916 + t^5.979 - 2*t^6. - t^4.323/y - t^4.323*y	detail
50970	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}$	0.6633	0.8389	0.7907	[M:[0.8093, 0.7907, 1.2, 0.8, 0.8093, 0.7814], q:[0.8, 0.3907], qb:[0.4093, 0.8], phi:[0.4]]	t^2.344 + t^2.372 + 2*t^2.4 + 2*t^2.428 + t^3.544 + t^3.6 + t^3.628 + t^4.689 + t^4.717 + 3*t^4.744 + 4*t^4.772 + 6*t^4.8 + 4*t^4.828 + 3*t^4.856 + t^5.889 + t^5.917 + 2*t^5.944 + 2*t^5.972 - t^4.2/y - t^4.2*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

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
46667	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$	0.6883	0.8554	0.8047	[M:[0.9686, 0.9936, 1.1195, 0.6793, 0.7674], q:[0.5787, 0.4528], qb:[0.4277, 0.7799], phi:[0.4402]]	t^2.038 + t^2.302 + t^2.641 + t^2.906 + t^2.981 + t^3.359 + t^3.623 + t^3.887 + t^4.037 + 2*t^4.076 + 2*t^4.34 + t^4.415 + t^4.604 + t^4.679 + t^4.793 + 2*t^4.944 + t^5.019 + t^5.208 + 2*t^5.283 + t^5.396 + 2*t^5.661 + t^5.811 + t^5.886 + t^5.925 + t^5.962 - 2*t^6. - t^4.321/y - t^4.321*y	detail