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
2932	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6486	0.8522	0.7611	[M:[0.9726, 1.0821, 0.9179, 0.7432, 0.7979, 0.7979], q:[0.7432, 0.2842], qb:[0.459, 0.459], phi:[0.5137]]	[M:[[4], [-12], [12], [1], [-7], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$	${}M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$	-1	3*t^2.229 + 2*t^2.394 + t^2.754 + t^2.918 + t^3.082 + t^3.246 + t^3.771 + 3*t^4.295 + 6*t^4.459 + 6*t^4.623 + 3*t^4.787 + 3*t^4.983 + 5*t^5.147 + 5*t^5.312 + 3*t^5.476 + t^5.508 + 2*t^5.64 + t^5.672 + t^5.836 - t^6. + 2*t^6.164 + t^6.328 + t^6.492 + 6*t^6.524 + 13*t^6.688 + 9*t^6.853 + 8*t^7.017 + 3*t^7.049 + 4*t^7.181 + 6*t^7.213 + 10*t^7.377 + 11*t^7.541 + 9*t^7.705 + 3*t^7.737 + 5*t^7.869 + 3*t^7.901 + 3*t^8.033 + 2*t^8.065 - 6*t^8.229 + t^8.261 - 4*t^8.394 + t^8.426 + 4*t^8.558 + 6*t^8.59 + 3*t^8.722 + 5*t^8.754 + 2*t^8.886 + 13*t^8.918 - t^4.541/y - t^6.771/y - (2*t^6.935)/y + (3*t^7.459)/y + (6*t^7.623)/y + t^7.787/y + (3*t^7.983)/y + (7*t^8.147)/y + (6*t^8.312)/y + (5*t^8.476)/y + (2*t^8.64)/y + t^8.672/y + t^8.836/y - t^4.541*y - t^6.771*y - 2*t^6.935*y + 3*t^7.459*y + 6*t^7.623*y + t^7.787*y + 3*t^7.983*y + 7*t^8.147*y + 6*t^8.312*y + 5*t^8.476*y + 2*t^8.64*y + t^8.672*y + t^8.836*y	3*g1*t^2.229 + (2*t^2.394)/g1^7 + g1^12*t^2.754 + g1^4*t^2.918 + t^3.082/g1^4 + t^3.246/g1^12 + t^3.771/g1 + 3*g1^10*t^4.295 + 6*g1^2*t^4.459 + (6*t^4.623)/g1^6 + (3*t^4.787)/g1^14 + 3*g1^13*t^4.983 + 5*g1^5*t^5.147 + (5*t^5.312)/g1^3 + (3*t^5.476)/g1^11 + g1^24*t^5.508 + (2*t^5.64)/g1^19 + g1^16*t^5.672 + g1^8*t^5.836 - t^6. + (2*t^6.164)/g1^8 + t^6.328/g1^16 + t^6.492/g1^24 + 6*g1^11*t^6.524 + 13*g1^3*t^6.688 + (9*t^6.853)/g1^5 + (8*t^7.017)/g1^13 + 3*g1^22*t^7.049 + (4*t^7.181)/g1^21 + 6*g1^14*t^7.213 + 10*g1^6*t^7.377 + (11*t^7.541)/g1^2 + (9*t^7.705)/g1^10 + 3*g1^25*t^7.737 + (5*t^7.869)/g1^18 + 3*g1^17*t^7.901 + (3*t^8.033)/g1^26 + 2*g1^9*t^8.065 - 6*g1*t^8.229 + g1^36*t^8.261 - (4*t^8.394)/g1^7 + g1^28*t^8.426 + (4*t^8.558)/g1^15 + 6*g1^20*t^8.59 + (3*t^8.722)/g1^23 + 5*g1^12*t^8.754 + (2*t^8.886)/g1^31 + 13*g1^4*t^8.918 - t^4.541/(g1^2*y) - t^6.771/(g1*y) - (2*t^6.935)/(g1^9*y) + (3*g1^2*t^7.459)/y + (6*t^7.623)/(g1^6*y) + t^7.787/(g1^14*y) + (3*g1^13*t^7.983)/y + (7*g1^5*t^8.147)/y + (6*t^8.312)/(g1^3*y) + (5*t^8.476)/(g1^11*y) + (2*t^8.64)/(g1^19*y) + (g1^16*t^8.672)/y + (g1^8*t^8.836)/y - (t^4.541*y)/g1^2 - (t^6.771*y)/g1 - (2*t^6.935*y)/g1^9 + 3*g1^2*t^7.459*y + (6*t^7.623*y)/g1^6 + (t^7.787*y)/g1^14 + 3*g1^13*t^7.983*y + 7*g1^5*t^8.147*y + (6*t^8.312*y)/g1^3 + (5*t^8.476*y)/g1^11 + (2*t^8.64*y)/g1^19 + g1^16*t^8.672*y + g1^8*t^8.836*y

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
3519	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6583	0.8702	0.7564	[M:[0.9566, 1.1303, 0.8697, 0.7391, 0.826, 0.826, 0.8697], q:[0.7391, 0.3043], qb:[0.4348, 0.4348], phi:[0.5217]]	3*t^2.217 + 2*t^2.478 + 2*t^2.609 + t^2.87 + t^3.13 + t^3.783 + 3*t^4.174 + 6*t^4.435 + 6*t^4.695 + 6*t^4.827 + 3*t^4.956 + 7*t^5.087 + 3*t^5.218 + 5*t^5.348 + 2*t^5.479 + 2*t^5.739 - 2*t^6. - t^4.565/y - t^4.565*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
1903	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6324	0.8242	0.7672	[M:[0.9651, 1.1046, 0.8954, 0.7413, 0.811], q:[0.7413, 0.2936], qb:[0.4477, 0.4477], phi:[0.5174]]	3*t^2.224 + t^2.433 + t^2.686 + t^2.895 + t^3.105 + t^3.314 + t^3.567 + t^3.776 + 3*t^4.239 + 6*t^4.448 + 3*t^4.657 + t^4.866 + 3*t^4.91 + 4*t^5.119 + 4*t^5.328 + t^5.372 + 2*t^5.538 + t^5.582 + t^5.747 + 4*t^5.791 - t^4.552/y - t^4.552*y	detail