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
357	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$	0.6272	0.8162	0.7685	[M:[0.9767, 1.0698, 0.7442, 0.7442], q:[0.7442, 0.2791], qb:[0.4651, 0.4651], phi:[0.5116]]	[M:[[4, 4], [-12, -12], [-5, 7], [7, -5]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}$	-5	4*t^2.233 + t^2.93 + t^3.07 + 2*t^3.209 + 2*t^3.628 + 3*t^4.325 + 10*t^4.465 + 4*t^5.163 + 4*t^5.302 + 6*t^5.442 + 8*t^5.86 - 5*t^6. + t^6.14 + 2*t^6.279 + 3*t^6.419 + 10*t^6.558 + 18*t^6.698 - 2*t^6.977 + 3*t^7.256 + 8*t^7.395 + 8*t^7.535 + 12*t^7.675 + 4*t^7.953 + 14*t^8.093 - 20*t^8.233 + 2*t^8.372 + 6*t^8.512 + 13*t^8.651 + 22*t^8.791 + 22*t^8.93 - t^4.535/y - (2*t^6.767)/y + t^7.325/y + (6*t^7.465)/y - t^7.744/y + (4*t^8.163)/y + (6*t^8.302)/y + (8*t^8.442)/y + (8*t^8.86)/y - t^4.535*y - 2*t^6.767*y + t^7.325*y + 6*t^7.465*y - t^7.744*y + 4*t^8.163*y + 6*t^8.302*y + 8*t^8.442*y + 8*t^8.86*y	(2*g1^7*t^2.233)/g2^5 + (2*g2^7*t^2.233)/g1^5 + g1^4*g2^4*t^2.93 + t^3.07/(g1^4*g2^4) + (2*t^3.209)/(g1^12*g2^12) + g1^13*g2*t^3.628 + g1*g2^13*t^3.628 + (g1^22*t^4.325)/g2^2 + g1^10*g2^10*t^4.325 + (g2^22*t^4.325)/g1^2 + (3*g1^14*t^4.465)/g2^10 + 4*g1^2*g2^2*t^4.465 + (3*g2^14*t^4.465)/g1^10 + (2*g1^11*t^5.163)/g2 + (2*g2^11*t^5.163)/g1 + (2*g1^3*t^5.302)/g2^9 + (2*g2^3*t^5.302)/g1^9 + (3*t^5.442)/(g1^5*g2^17) + (3*t^5.442)/(g1^17*g2^5) + (2*g1^20*t^5.86)/g2^4 + 4*g1^8*g2^8*t^5.86 + (2*g2^20*t^5.86)/g1^4 - 3*t^6. - (g1^12*t^6.)/g2^12 - (g2^12*t^6.)/g1^12 + t^6.14/(g1^8*g2^8) + (2*t^6.279)/(g1^16*g2^16) + (3*t^6.419)/(g1^24*g2^24) + (2*g1^29*t^6.558)/g2^7 + 3*g1^17*g2^5*t^6.558 + 3*g1^5*g2^17*t^6.558 + (2*g2^29*t^6.558)/g1^7 + (4*g1^21*t^6.698)/g2^15 + (5*g1^9*t^6.698)/g2^3 + (5*g2^9*t^6.698)/g1^3 + (4*g2^21*t^6.698)/g1^15 - t^6.977/(g1^7*g2^19) - t^6.977/(g1^19*g2^7) + g1^26*g2^2*t^7.256 + g1^14*g2^14*t^7.256 + g1^2*g2^26*t^7.256 + (3*g1^18*t^7.395)/g2^6 + 2*g1^6*g2^6*t^7.395 + (3*g2^18*t^7.395)/g1^6 + (3*g1^10*t^7.535)/g2^14 + (2*t^7.535)/(g1^2*g2^2) + (3*g2^10*t^7.535)/g1^14 + (4*g1^2*t^7.675)/g2^22 + (4*t^7.675)/(g1^10*g2^10) + (4*g2^2*t^7.675)/g1^22 + (g1^35*t^7.953)/g2 + g1^23*g2^11*t^7.953 + g1^11*g2^23*t^7.953 + (g2^35*t^7.953)/g1 + (3*g1^27*t^8.093)/g2^9 + 4*g1^15*g2^3*t^8.093 + 4*g1^3*g2^15*t^8.093 + (3*g2^27*t^8.093)/g1^9 - (2*g1^19*t^8.233)/g2^17 - (8*g1^7*t^8.233)/g2^5 - (8*g2^7*t^8.233)/g1^5 - (2*g2^19*t^8.233)/g1^17 + t^8.372/(g1*g2^13) + t^8.372/(g1^13*g2) + (3*t^8.512)/(g1^9*g2^21) + (3*t^8.512)/(g1^21*g2^9) + (4*t^8.651)/(g1^17*g2^29) + (4*t^8.651)/(g1^29*g2^17) + (g1^44*t^8.651)/g2^4 + g1^32*g2^8*t^8.651 + g1^20*g2^20*t^8.651 + g1^8*g2^32*t^8.651 + (g2^44*t^8.651)/g1^4 + 5*g1^24*t^8.791 + (3*g1^36*t^8.791)/g2^12 + 6*g1^12*g2^12*t^8.791 + 5*g2^24*t^8.791 + (3*g2^36*t^8.791)/g1^12 + (5*g1^28*t^8.93)/g2^20 + (5*g1^16*t^8.93)/g2^8 + 2*g1^4*g2^4*t^8.93 + (5*g2^16*t^8.93)/g1^8 + (5*g2^28*t^8.93)/g1^20 - t^4.535/(g1^2*g2^2*y) - (g1^5*t^6.767)/(g2^7*y) - (g2^5*t^6.767)/(g1^7*y) + (g1^10*g2^10*t^7.325)/y + (g1^14*t^7.465)/(g2^10*y) + (4*g1^2*g2^2*t^7.465)/y + (g2^14*t^7.465)/(g1^10*y) - t^7.744/(g1^14*g2^14*y) + (2*g1^11*t^8.163)/(g2*y) + (2*g2^11*t^8.163)/(g1*y) + (3*g1^3*t^8.302)/(g2^9*y) + (3*g2^3*t^8.302)/(g1^9*y) + (4*t^8.442)/(g1^5*g2^17*y) + (4*t^8.442)/(g1^17*g2^5*y) + (2*g1^20*t^8.86)/(g2^4*y) + (4*g1^8*g2^8*t^8.86)/y + (2*g2^20*t^8.86)/(g1^4*y) - (t^4.535*y)/(g1^2*g2^2) - (g1^5*t^6.767*y)/g2^7 - (g2^5*t^6.767*y)/g1^7 + g1^10*g2^10*t^7.325*y + (g1^14*t^7.465*y)/g2^10 + 4*g1^2*g2^2*t^7.465*y + (g2^14*t^7.465*y)/g1^10 - (t^7.744*y)/(g1^14*g2^14) + (2*g1^11*t^8.163*y)/g2 + (2*g2^11*t^8.163*y)/g1 + (3*g1^3*t^8.302*y)/g2^9 + (3*g2^3*t^8.302*y)/g1^9 + (4*t^8.442*y)/(g1^5*g2^17) + (4*t^8.442*y)/(g1^17*g2^5) + (2*g1^20*t^8.86*y)/g2^4 + 4*g1^8*g2^8*t^8.86*y + (2*g2^20*t^8.86*y)/g1^4

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
1800	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6264	0.8149	0.7686	[M:[0.9832, 1.0505, 0.729, 0.7626], q:[0.7458, 0.271], qb:[0.4916, 0.4579], phi:[0.5084]]	2*t^2.187 + 2*t^2.288 + t^2.95 + t^3.05 + 2*t^3.151 + t^3.611 + t^3.712 + t^4.273 + 4*t^4.374 + 5*t^4.475 + 3*t^4.576 + 2*t^5.136 + 4*t^5.237 + 5*t^5.338 + 3*t^5.439 + 2*t^5.798 + 3*t^5.899 - t^6. - t^4.525/y - t^4.525*y	detail
1801	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6449	0.848	0.7605	[M:[0.9839, 1.0482, 0.7351, 0.7569, 0.7672], q:[0.746, 0.2701], qb:[0.4868, 0.465], phi:[0.508]]	2*t^2.205 + 2*t^2.271 + t^2.302 + t^2.952 + t^3.048 + 2*t^3.145 + t^3.633 + t^4.314 + t^4.38 + 3*t^4.41 + t^4.445 + 4*t^4.476 + 2*t^4.507 + 3*t^4.541 + 2*t^4.572 + t^4.603 + 2*t^5.157 + 2*t^5.223 + 3*t^5.253 + 2*t^5.319 + 4*t^5.35 + 3*t^5.415 + 2*t^5.446 + 2*t^5.838 + 2*t^5.904 - 3*t^6. - t^4.524/y - t^4.524*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
223	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$	0.6081	0.7817	0.778	[M:[0.9777, 1.0669, 0.7349], q:[0.7444, 0.2779], qb:[0.4761, 0.457], phi:[0.5112]]	2*t^2.205 + t^2.262 + t^2.933 + t^3.067 + 2*t^3.201 + t^3.604 + t^3.662 + t^3.738 + t^4.275 + t^4.333 + t^4.39 + 3*t^4.409 + 2*t^4.467 + t^4.524 + 2*t^5.138 + t^5.195 + 2*t^5.272 + t^5.329 + 3*t^5.405 + t^5.463 + 2*t^5.809 + 3*t^5.866 + t^5.923 + t^5.943 - 2*t^6. - t^4.533/y - t^4.533*y	detail