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
2501	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$	0.7032	0.8682	0.8099	[M:[1.0751, 0.8874, 0.9249, 1.0375, 1.0, 0.9625, 0.9249], q:[0.5, 0.4249], qb:[0.5751, 0.5375], phi:[0.4906]]	[M:[[8], [-12], [-8], [4], [0], [-4], [-8]], q:[[0], [-8]], qb:[[8], [4]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$	${}$	-2	t^2.662 + 2*t^2.775 + t^2.887 + t^2.944 + t^3. + t^3.113 + t^4.021 + t^4.247 + t^4.359 + 2*t^4.472 + t^4.584 + 2*t^4.697 + t^4.81 + t^4.922 + t^5.324 + 2*t^5.437 + 3*t^5.55 + t^5.606 + 2*t^5.662 + 2*t^5.719 + 2*t^5.775 + t^5.831 + 2*t^5.887 + t^5.944 - 2*t^6. + t^6.056 - 2*t^6.113 - t^6.225 - t^6.338 - t^6.45 + t^6.684 + 2*t^6.796 + 2*t^6.909 + t^6.965 + 3*t^7.021 - t^7.078 + 4*t^7.134 + t^7.19 + 4*t^7.247 + 4*t^7.359 + t^7.416 + 4*t^7.472 - t^7.528 + 3*t^7.584 + t^7.641 + 2*t^7.697 - t^7.753 + t^7.81 - t^7.979 + t^7.987 + t^8.043 + 2*t^8.099 + 3*t^8.212 + 2*t^8.268 + 4*t^8.324 + 3*t^8.381 + 2*t^8.437 + 5*t^8.493 + 2*t^8.55 + 3*t^8.606 + 5*t^8.719 - 6*t^8.775 + 4*t^8.831 - 7*t^8.887 + 2*t^8.944 - t^4.472/y - t^7.134/y - t^7.247/y - t^7.416/y + t^7.528/y + t^7.697/y + t^7.81/y + (2*t^8.437)/y + (2*t^8.55)/y + t^8.606/y + (3*t^8.662)/y + (2*t^8.719)/y + (3*t^8.775)/y + t^8.831/y + (3*t^8.887)/y + t^8.944/y - t^4.472*y - t^7.134*y - t^7.247*y - t^7.416*y + t^7.528*y + t^7.697*y + t^7.81*y + 2*t^8.437*y + 2*t^8.55*y + t^8.606*y + 3*t^8.662*y + 2*t^8.719*y + 3*t^8.775*y + t^8.831*y + 3*t^8.887*y + t^8.944*y	t^2.662/g1^12 + (2*t^2.775)/g1^8 + t^2.887/g1^4 + t^2.944/g1^2 + t^3. + g1^4*t^3.113 + t^4.021/g1^17 + t^4.247/g1^9 + t^4.359/g1^5 + (2*t^4.472)/g1 + g1^3*t^4.584 + 2*g1^7*t^4.697 + g1^11*t^4.81 + g1^15*t^4.922 + t^5.324/g1^24 + (2*t^5.437)/g1^20 + (3*t^5.55)/g1^16 + t^5.606/g1^14 + (2*t^5.662)/g1^12 + (2*t^5.719)/g1^10 + (2*t^5.775)/g1^8 + t^5.831/g1^6 + (2*t^5.887)/g1^4 + t^5.944/g1^2 - 2*t^6. + g1^2*t^6.056 - 2*g1^4*t^6.113 - g1^8*t^6.225 - g1^12*t^6.338 - g1^16*t^6.45 + t^6.684/g1^29 + (2*t^6.796)/g1^25 + (2*t^6.909)/g1^21 + t^6.965/g1^19 + (3*t^7.021)/g1^17 - t^7.078/g1^15 + (4*t^7.134)/g1^13 + t^7.19/g1^11 + (4*t^7.247)/g1^9 + (4*t^7.359)/g1^5 + t^7.416/g1^3 + (4*t^7.472)/g1 - g1*t^7.528 + 3*g1^3*t^7.584 + g1^5*t^7.641 + 2*g1^7*t^7.697 - g1^9*t^7.753 + g1^11*t^7.81 - g1^17*t^7.979 + t^7.987/g1^36 + t^8.043/g1^34 + (2*t^8.099)/g1^32 + (3*t^8.212)/g1^28 + (2*t^8.268)/g1^26 + (4*t^8.324)/g1^24 + (3*t^8.381)/g1^22 + (2*t^8.437)/g1^20 + (5*t^8.493)/g1^18 + (2*t^8.55)/g1^16 + (3*t^8.606)/g1^14 + (5*t^8.719)/g1^10 - (6*t^8.775)/g1^8 + (4*t^8.831)/g1^6 - (7*t^8.887)/g1^4 + (2*t^8.944)/g1^2 - t^4.472/(g1*y) - t^7.134/(g1^13*y) - t^7.247/(g1^9*y) - t^7.416/(g1^3*y) + (g1*t^7.528)/y + (g1^7*t^7.697)/y + (g1^11*t^7.81)/y + (2*t^8.437)/(g1^20*y) + (2*t^8.55)/(g1^16*y) + t^8.606/(g1^14*y) + (3*t^8.662)/(g1^12*y) + (2*t^8.719)/(g1^10*y) + (3*t^8.775)/(g1^8*y) + t^8.831/(g1^6*y) + (3*t^8.887)/(g1^4*y) + t^8.944/(g1^2*y) - (t^4.472*y)/g1 - (t^7.134*y)/g1^13 - (t^7.247*y)/g1^9 - (t^7.416*y)/g1^3 + g1*t^7.528*y + g1^7*t^7.697*y + g1^11*t^7.81*y + (2*t^8.437*y)/g1^20 + (2*t^8.55*y)/g1^16 + (t^8.606*y)/g1^14 + (3*t^8.662*y)/g1^12 + (2*t^8.719*y)/g1^10 + (3*t^8.775*y)/g1^8 + (t^8.831*y)/g1^6 + (3*t^8.887*y)/g1^4 + (t^8.944*y)/g1^2

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
4544	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{4}M_{8}$	0.7069	0.8759	0.8071	[M:[1.0856, 0.8717, 0.9144, 1.0428, 1.0, 0.9572, 0.9144, 0.9572], q:[0.5, 0.4144], qb:[0.5856, 0.5428], phi:[0.4893]]	t^2.615 + 2*t^2.743 + 2*t^2.872 + t^2.936 + t^3. + t^3.955 + t^4.211 + t^4.34 + 2*t^4.468 + t^4.596 + 2*t^4.725 + t^4.853 + t^4.981 + t^5.23 + 2*t^5.358 + 4*t^5.487 + t^5.551 + 4*t^5.615 + 2*t^5.679 + 3*t^5.743 + 2*t^5.808 + t^5.872 + t^5.936 - 3*t^6. - t^4.468/y - t^4.468*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
1429	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$	0.6972	0.8564	0.8141	[M:[1.0538, 0.9194, 0.9462, 1.0269, 1.0, 0.9731], q:[0.5, 0.4462], qb:[0.5538, 0.5269], phi:[0.4933]]	t^2.758 + t^2.839 + t^2.919 + t^2.96 + t^3. + t^3.081 + t^3.161 + t^4.157 + t^4.319 + t^4.399 + 2*t^4.48 + t^4.56 + 2*t^4.641 + t^4.722 + t^4.802 + t^5.516 + t^5.597 + t^5.677 + t^5.718 + t^5.758 + t^5.798 + t^5.839 + t^5.879 + 2*t^5.919 + t^5.96 - t^6. - t^4.48/y - t^4.48*y	detail