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 =

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
3753	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6536	0.8612	0.7589	[M:[0.968, 1.096, 0.904, 0.774, 0.838, 0.774, 0.904], q:[0.742, 0.29], qb:[0.42, 0.484], phi:[0.516]]	[M:[[4], [-12], [12], [-3], [-11], [-3], [12]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$	${}$	-2	t^2.13 + 3*t^2.322 + t^2.514 + 2*t^2.712 + t^2.904 + t^3.096 + t^3.87 + t^4.068 + 2*t^4.26 + 4*t^4.452 + 7*t^4.644 + 3*t^4.836 + 2*t^4.842 + t^5.028 + 7*t^5.034 + 6*t^5.226 + 3*t^5.418 + 3*t^5.424 + 2*t^5.616 + t^5.808 - 2*t^6. + t^6.192 + t^6.198 + t^6.384 + 3*t^6.39 + 6*t^6.582 + 8*t^6.774 + 2*t^6.78 + 12*t^6.966 + 4*t^6.972 + 6*t^7.158 + 9*t^7.164 + 3*t^7.35 + 14*t^7.356 + t^7.542 + 11*t^7.548 + 3*t^7.554 + 7*t^7.74 + 10*t^7.746 + 7*t^7.938 - t^8.13 + 5*t^8.136 - 9*t^8.322 + 5*t^8.328 - 4*t^8.514 + 5*t^8.52 + t^8.898 + 3*t^8.904 + 2*t^8.91 - t^4.548/y - (2*t^6.87)/y - t^7.062/y - t^7.26/y + (3*t^7.452)/y + (4*t^7.644)/y + (4*t^7.836)/y + (2*t^7.842)/y + (8*t^8.034)/y + (8*t^8.226)/y + (4*t^8.418)/y + t^8.424/y + t^8.61/y + (2*t^8.616)/y + (2*t^8.808)/y - t^4.548*y - 2*t^6.87*y - t^7.062*y - t^7.26*y + 3*t^7.452*y + 4*t^7.644*y + 4*t^7.836*y + 2*t^7.842*y + 8*t^8.034*y + 8*t^8.226*y + 4*t^8.418*y + t^8.424*y + t^8.61*y + 2*t^8.616*y + 2*t^8.808*y	g1^5*t^2.13 + (3*t^2.322)/g1^3 + t^2.514/g1^11 + 2*g1^12*t^2.712 + g1^4*t^2.904 + t^3.096/g1^4 + t^3.87/g1^5 + g1^18*t^4.068 + 2*g1^10*t^4.26 + 4*g1^2*t^4.452 + (7*t^4.644)/g1^6 + (3*t^4.836)/g1^14 + 2*g1^17*t^4.842 + t^5.028/g1^22 + 7*g1^9*t^5.034 + 6*g1*t^5.226 + (3*t^5.418)/g1^7 + 3*g1^24*t^5.424 + 2*g1^16*t^5.616 + g1^8*t^5.808 - 2*t^6. + t^6.192/g1^8 + g1^23*t^6.198 + t^6.384/g1^16 + 3*g1^15*t^6.39 + 6*g1^7*t^6.582 + (8*t^6.774)/g1 + 2*g1^30*t^6.78 + (12*t^6.966)/g1^9 + 4*g1^22*t^6.972 + (6*t^7.158)/g1^17 + 9*g1^14*t^7.164 + (3*t^7.35)/g1^25 + 14*g1^6*t^7.356 + t^7.542/g1^33 + (11*t^7.548)/g1^2 + 3*g1^29*t^7.554 + (7*t^7.74)/g1^10 + 10*g1^21*t^7.746 + 7*g1^13*t^7.938 - g1^5*t^8.13 + 5*g1^36*t^8.136 - (9*t^8.322)/g1^3 + 5*g1^28*t^8.328 - (4*t^8.514)/g1^11 + 5*g1^20*t^8.52 + t^8.898/g1^27 + 3*g1^4*t^8.904 + 2*g1^35*t^8.91 - t^4.548/(g1^2*y) - (2*t^6.87)/(g1^5*y) - t^7.062/(g1^13*y) - (g1^10*t^7.26)/y + (3*g1^2*t^7.452)/y + (4*t^7.644)/(g1^6*y) + (4*t^7.836)/(g1^14*y) + (2*g1^17*t^7.842)/y + (8*g1^9*t^8.034)/y + (8*g1*t^8.226)/y + (4*t^8.418)/(g1^7*y) + (g1^24*t^8.424)/y + t^8.61/(g1^15*y) + (2*g1^16*t^8.616)/y + (2*g1^8*t^8.808)/y - (t^4.548*y)/g1^2 - (2*t^6.87*y)/g1^5 - (t^7.062*y)/g1^13 - g1^10*t^7.26*y + 3*g1^2*t^7.452*y + (4*t^7.644*y)/g1^6 + (4*t^7.836*y)/g1^14 + 2*g1^17*t^7.842*y + 8*g1^9*t^8.034*y + 8*g1*t^8.226*y + (4*t^8.418*y)/g1^7 + g1^24*t^8.424*y + (t^8.61*y)/g1^15 + 2*g1^16*t^8.616*y + 2*g1^8*t^8.808*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

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
3319	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6465	0.8487	0.7617	[M:[0.9812, 1.0565, 0.9435, 0.7641, 0.8018, 0.7641], q:[0.7453, 0.2735], qb:[0.4529, 0.4906], phi:[0.5094]]	t^2.179 + 3*t^2.292 + t^2.405 + t^2.831 + t^2.944 + t^3.056 + t^3.169 + t^3.821 + t^4.246 + 2*t^4.359 + 4*t^4.472 + 7*t^4.585 + 3*t^4.698 + t^4.811 + t^5.01 + 4*t^5.123 + 5*t^5.236 + 4*t^5.349 + 3*t^5.462 + t^5.575 + t^5.661 + t^5.774 - t^6. - t^4.528/y - t^4.528*y	detail