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 H0+H1 (not completed) E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Search for theories with rational R-charges and central 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
46091	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$	0.7027	0.862	0.8151	[M:[0.9335, 1.0665, 1.0, 0.867], q:[0.4817, 0.5848], qb:[0.4519, 0.5481], phi:[0.4834]]	[M:[[-4, -4], [4, 4], [0, 0], [-8, -8]], q:[[-4, 4], [8, 0]], qb:[[0, -8], [0, 8]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	${}$	-2	t^2.601 + t^2.801 + t^2.9 + t^3. + t^3.089 + t^3.11 + t^3.199 + t^4.161 + t^4.251 + t^4.34 + t^4.45 + t^4.54 + t^4.56 + t^4.65 + t^4.739 + t^4.849 + t^4.959 + t^5.202 + t^5.402 + t^5.501 + t^5.601 + t^5.701 + 2*t^5.801 + t^5.9 + t^5.99 - 2*t^6. + t^6.01 + t^6.1 + t^6.179 + t^6.22 + t^6.762 + t^6.852 + t^6.941 + t^6.962 + t^7.051 + t^7.062 + t^7.141 + t^7.151 + t^7.161 + t^7.24 + 2*t^7.251 - t^7.261 + t^7.271 + 2*t^7.34 + t^7.361 + t^7.43 + t^7.45 + t^7.46 + 2*t^7.54 + t^7.56 + t^7.629 + t^7.65 - t^7.66 + t^7.67 + t^7.739 + t^7.76 + t^7.803 + t^7.828 - t^7.839 + t^7.849 + t^7.859 + t^7.938 - t^7.949 + t^7.959 + t^8.003 + t^8.048 - t^8.059 + t^8.069 + t^8.103 + t^8.158 + t^8.202 + t^8.302 + t^8.323 + 2*t^8.402 + t^8.412 + 2*t^8.501 - t^8.512 + t^8.591 - t^8.601 + t^8.611 + t^8.68 - t^8.691 + 3*t^8.701 - t^8.711 + t^8.721 + t^8.79 - 3*t^8.801 + t^8.811 + t^8.88 - t^8.89 + 2*t^8.99 - t^4.45/y - t^7.051/y - t^7.35/y + t^7.55/y + t^7.849/y + t^8.402/y + t^8.501/y + t^8.601/y + t^8.691/y + t^8.701/y + t^8.711/y + (2*t^8.801)/y + t^8.89/y + t^8.9/y + t^8.911/y + t^8.99/y - t^4.45*y - t^7.051*y - t^7.35*y + t^7.55*y + t^7.849*y + t^8.402*y + t^8.501*y + t^8.601*y + t^8.691*y + t^8.701*y + t^8.711*y + 2*t^8.801*y + t^8.89*y + t^8.9*y + t^8.911*y + t^8.99*y	t^2.601/(g1^8*g2^8) + t^2.801/(g1^4*g2^4) + t^2.9/(g1^2*g2^2) + t^3. + (g2^12*t^3.089)/g1^4 + (g1^8*t^3.11)/g2^8 + g1^4*g2^4*t^3.199 + t^4.161/(g1*g2^17) + t^4.251/(g1^5*g2^5) + (g2^7*t^4.34)/g1^9 + t^4.45/(g1*g2) + (g2^11*t^4.54)/g1^5 + (g1^7*t^4.56)/g2^9 + g1^3*g2^3*t^4.65 + (g2^15*t^4.739)/g1 + g1^7*g2^7*t^4.849 + (g1^15*t^4.959)/g2 + t^5.202/(g1^16*g2^16) + t^5.402/(g1^12*g2^12) + t^5.501/(g1^10*g2^10) + t^5.601/(g1^8*g2^8) + t^5.701/(g1^6*g2^6) + (2*t^5.801)/(g1^4*g2^4) + t^5.9/(g1^2*g2^2) + (g2^10*t^5.99)/g1^6 - 2*t^6. + (g1^6*t^6.01)/g2^10 + g1^2*g2^2*t^6.1 + (g2^24*t^6.179)/g1^8 + (g1^16*t^6.22)/g2^16 + t^6.762/(g1^9*g2^25) + t^6.852/(g1^13*g2^13) + t^6.941/(g1^17*g2) + t^6.962/(g1^5*g2^21) + t^7.051/(g1^9*g2^9) + t^7.062/(g1^3*g2^19) + (g2^3*t^7.141)/g1^13 + t^7.151/(g1^7*g2^7) + t^7.161/(g1*g2^17) + (g2^5*t^7.24)/g1^11 + (2*t^7.251)/(g1^5*g2^5) - (g1*t^7.261)/g2^15 + (g1^7*t^7.271)/g2^25 + (2*g2^7*t^7.34)/g1^9 + (g1^3*t^7.361)/g2^13 + (g2^19*t^7.43)/g1^13 + t^7.45/(g1*g2) + (g1^5*t^7.46)/g2^11 + (2*g2^11*t^7.54)/g1^5 + (g1^7*t^7.56)/g2^9 + (g2^23*t^7.629)/g1^9 + g1^3*g2^3*t^7.65 - (g1^9*t^7.66)/g2^7 + (g1^15*t^7.67)/g2^17 + (g2^15*t^7.739)/g1 + (g1^11*t^7.76)/g2^5 + t^7.803/(g1^24*g2^24) + (g2^27*t^7.828)/g1^5 - g1*g2^17*t^7.839 + g1^7*g2^7*t^7.849 + (g1^13*t^7.859)/g2^3 + g1^3*g2^19*t^7.938 - g1^9*g2^9*t^7.949 + (g1^15*t^7.959)/g2 + t^8.003/(g1^20*g2^20) + g1^11*g2^11*t^8.048 - g1^17*g2*t^8.059 + (g1^23*t^8.069)/g2^9 + t^8.103/(g1^18*g2^18) + g1^19*g2^3*t^8.158 + t^8.202/(g1^16*g2^16) + t^8.302/(g1^14*g2^14) + t^8.323/(g1^2*g2^34) + (2*t^8.402)/(g1^12*g2^12) + t^8.412/(g1^6*g2^22) + (2*t^8.501)/(g1^10*g2^10) - t^8.512/(g1^4*g2^20) + (g2^2*t^8.591)/g1^14 - t^8.601/(g1^8*g2^8) + t^8.611/(g1^2*g2^18) + (g2^14*t^8.68)/g1^18 - (g2^4*t^8.691)/g1^12 + (3*t^8.701)/(g1^6*g2^6) - t^8.711/g2^16 + (g1^6*t^8.721)/g2^26 + (g2^6*t^8.79)/g1^10 - (3*t^8.801)/(g1^4*g2^4) + (g1^2*t^8.811)/g2^14 + (g2^18*t^8.88)/g1^14 - (g2^8*t^8.89)/g1^8 + (2*g2^10*t^8.99)/g1^6 - t^4.45/(g1*g2*y) - t^7.051/(g1^9*g2^9*y) - t^7.35/(g1^3*g2^3*y) + (g1*g2*t^7.55)/y + (g1^7*g2^7*t^7.849)/y + t^8.402/(g1^12*g2^12*y) + t^8.501/(g1^10*g2^10*y) + t^8.601/(g1^8*g2^8*y) + (g2^4*t^8.691)/(g1^12*y) + t^8.701/(g1^6*g2^6*y) + t^8.711/(g2^16*y) + (2*t^8.801)/(g1^4*g2^4*y) + (g2^8*t^8.89)/(g1^8*y) + t^8.9/(g1^2*g2^2*y) + (g1^4*t^8.911)/(g2^12*y) + (g2^10*t^8.99)/(g1^6*y) - (t^4.45*y)/(g1*g2) - (t^7.051*y)/(g1^9*g2^9) - (t^7.35*y)/(g1^3*g2^3) + g1*g2*t^7.55*y + g1^7*g2^7*t^7.849*y + (t^8.402*y)/(g1^12*g2^12) + (t^8.501*y)/(g1^10*g2^10) + (t^8.601*y)/(g1^8*g2^8) + (g2^4*t^8.691*y)/g1^12 + (t^8.701*y)/(g1^6*g2^6) + (t^8.711*y)/g2^16 + (2*t^8.801*y)/(g1^4*g2^4) + (g2^8*t^8.89*y)/g1^8 + (t^8.9*y)/(g1^2*g2^2) + (g1^4*t^8.911*y)/g2^12 + (g2^10*t^8.99*y)/g1^6

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
46774	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{5}$	0.7096	0.8749	0.811	[M:[0.9169, 1.0831, 1.0, 0.8338, 0.9169], q:[0.4765, 0.6066], qb:[0.4404, 0.5596], phi:[0.4792]]	t^2.501 + 2*t^2.751 + t^2.875 + t^3. + t^3.108 + t^3.141 + t^4.08 + t^4.188 + t^4.297 + t^4.438 + t^4.546 + t^4.579 + t^4.687 + t^4.795 + t^4.936 + t^5.003 + t^5.077 + 2*t^5.252 + t^5.377 + 3*t^5.501 + 2*t^5.626 + 2*t^5.751 + t^5.859 + t^5.875 + t^5.892 + t^5.984 - 3*t^6. - t^4.438/y - t^4.438*y	detail
46518	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}q_{2}^{2}$	0.668	0.8316	0.8032	[M:[0.8427, 1.1573, 1.0, 0.6854], q:[0.3876, 0.7697], qb:[0.4551, 0.5449], phi:[0.4607]]	t^2.056 + t^2.528 + t^2.764 + t^2.798 + t^3. + t^3.472 + t^3.674 + t^3.708 + t^3.91 + 2*t^4.113 + t^4.18 + t^4.382 + t^4.584 + t^4.651 + t^4.82 + t^4.854 + 2*t^5.056 + t^5.292 + t^5.326 + 2*t^5.528 + t^5.562 + t^5.595 + 2*t^5.764 + t^5.966 - 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

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
45972	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$	0.7407	0.9101	0.8139	[M:[0.7195, 0.8597, 1.0, 0.8597], q:[0.6403, 0.6403], qb:[0.5, 0.5], phi:[0.4299]]	t^2.158 + 3*t^2.579 + t^3. + 2*t^3.421 + 3*t^4.29 + t^4.317 + 4*t^4.71 + 3*t^4.738 + 3*t^5.131 + 7*t^5.158 + t^5.579 - t^6. - t^4.29/y - t^4.29*y	detail