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
2742	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$	0.6262	0.8118	0.7713	[M:[1.0, 0.9403, 0.7392, 0.716, 1.0597], q:[0.7575, 0.2425], qb:[0.5332, 0.5265], phi:[0.4851]]	[M:[[0, 0], [-8, -8], [-5, 3], [-1, -9], [8, 8]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$	${}$	-3	t^2.148 + t^2.218 + t^2.307 + t^2.327 + 2*t^2.91 + t^3. + t^3.179 + t^3.762 + t^3.872 + t^4.296 + t^4.366 + t^4.435 + t^4.455 + t^4.475 + t^4.525 + t^4.545 + 2*t^4.614 + 2*t^4.634 + 2*t^4.655 + 2*t^5.058 + t^5.128 + 3*t^5.218 + 2*t^5.238 + t^5.307 + 2*t^5.327 + t^5.397 + t^5.486 + t^5.506 + 3*t^5.821 + 2*t^5.91 - 3*t^6. + t^6.069 + 3*t^6.09 + t^6.179 + t^6.199 + t^6.358 + t^6.444 + t^6.514 + t^6.623 + t^6.653 + 2*t^6.673 + t^6.742 + 2*t^6.762 + 2*t^6.782 + 2*t^6.803 + 2*t^6.832 + t^6.872 + 2*t^6.921 + 3*t^6.942 + 2*t^6.962 + 2*t^6.982 + t^7.051 + 2*t^7.206 + t^7.276 + t^7.345 + 2*t^7.366 + 2*t^7.386 + t^7.435 - t^7.455 + 5*t^7.525 + 3*t^7.545 + 3*t^7.565 + 2*t^7.614 + 2*t^7.634 + 2*t^7.655 + 2*t^7.794 + 2*t^7.814 + 2*t^7.834 + 3*t^7.969 + t^8.038 + 3*t^8.128 - t^8.148 - t^8.218 + 3*t^8.238 - 3*t^8.307 - 5*t^8.327 + 2*t^8.377 + 2*t^8.397 + 2*t^8.417 + t^8.486 + 2*t^8.506 + 2*t^8.527 + t^8.576 + t^8.592 + t^8.662 + t^8.666 + t^8.686 + 4*t^8.731 + t^8.771 + t^8.801 + 3*t^8.821 + t^8.841 + t^8.87 - t^8.89 - 7*t^8.91 + 2*t^8.951 + t^8.96 + 3*t^8.98 - t^4.455/y - t^6.603/y - t^6.673/y + t^7.455/y + t^7.475/y + t^7.525/y + (2*t^7.545)/y + t^7.634/y + (2*t^8.058)/y + (2*t^8.128)/y + t^8.148/y + (3*t^8.218)/y + (3*t^8.238)/y + (2*t^8.307)/y + (2*t^8.327)/y + t^8.397/y + t^8.486/y + t^8.506/y - t^8.751/y - t^8.89/y + (3*t^8.91)/y + t^8.98/y - t^4.455*y - t^6.603*y - t^6.673*y + t^7.455*y + t^7.475*y + t^7.525*y + 2*t^7.545*y + t^7.634*y + 2*t^8.058*y + 2*t^8.128*y + t^8.148*y + 3*t^8.218*y + 3*t^8.238*y + 2*t^8.307*y + 2*t^8.327*y + t^8.397*y + t^8.486*y + t^8.506*y - t^8.751*y - t^8.89*y + 3*t^8.91*y + t^8.98*y	t^2.148/(g1*g2^9) + (g2^3*t^2.218)/g1^5 + (g2^7*t^2.307)/g1 + (g1^7*t^2.327)/g2 + (2*t^2.91)/(g1^4*g2^4) + t^3. + g1^8*g2^8*t^3.179 + (g2^5*t^3.762)/g1^3 + g1^9*g2*t^3.872 + t^4.296/(g1^2*g2^18) + t^4.366/(g1^6*g2^6) + (g2^6*t^4.435)/g1^10 + t^4.455/(g1^2*g2^2) + (g1^6*t^4.475)/g2^10 + (g2^10*t^4.525)/g1^6 + g1^2*g2^2*t^4.545 + (2*g2^14*t^4.614)/g1^2 + 2*g1^6*g2^6*t^4.634 + (2*g1^14*t^4.655)/g2^2 + (2*t^5.058)/(g1^5*g2^13) + t^5.128/(g1^9*g2) + (3*g2^3*t^5.218)/g1^5 + (2*g1^3*t^5.238)/g2^5 + (g2^7*t^5.307)/g1 + (2*g1^7*t^5.327)/g2 + g1^3*g2^11*t^5.397 + g1^7*g2^15*t^5.486 + g1^15*g2^7*t^5.506 + (3*t^5.821)/(g1^8*g2^8) + (2*t^5.91)/(g1^4*g2^4) - 3*t^6. + (g2^12*t^6.069)/g1^4 + 3*g1^4*g2^4*t^6.09 + g1^8*g2^8*t^6.179 + g1^16*t^6.199 + g1^16*g2^16*t^6.358 + t^6.444/(g1^3*g2^27) + t^6.514/(g1^7*g2^15) + (g1^5*t^6.623)/g2^19 + (g2^9*t^6.653)/g1^15 + (2*g2*t^6.673)/g1^7 + (g2^13*t^6.742)/g1^11 + (2*g2^5*t^6.762)/g1^3 + (2*g1^5*t^6.782)/g2^3 + (2*g1^13*t^6.803)/g2^11 + (2*g2^17*t^6.832)/g1^7 + g1^9*g2*t^6.872 + (2*g2^21*t^6.921)/g1^3 + 3*g1^5*g2^13*t^6.942 + 2*g1^13*g2^5*t^6.962 + (2*g1^21*t^6.982)/g2^3 + g1^17*g2^9*t^7.051 + (2*t^7.206)/(g1^6*g2^22) + t^7.276/(g1^10*g2^10) + (g2^2*t^7.345)/g1^14 + (2*t^7.366)/(g1^6*g2^6) + (2*g1^2*t^7.386)/g2^14 + (g2^6*t^7.435)/g1^10 - t^7.455/(g1^2*g2^2) + (5*g2^10*t^7.525)/g1^6 + 3*g1^2*g2^2*t^7.545 + (3*g1^10*t^7.565)/g2^6 + (2*g2^14*t^7.614)/g1^2 + 2*g1^6*g2^6*t^7.634 + (2*g1^14*t^7.655)/g2^2 + 2*g1^6*g2^22*t^7.794 + 2*g1^14*g2^14*t^7.814 + 2*g1^22*g2^6*t^7.834 + (3*t^7.969)/(g1^9*g2^17) + t^8.038/(g1^13*g2^5) + (3*t^8.128)/(g1^9*g2) - t^8.148/(g1*g2^9) - (g2^3*t^8.218)/g1^5 + (3*g1^3*t^8.238)/g2^5 - (3*g2^7*t^8.307)/g1 - (5*g1^7*t^8.327)/g2 + (2*g2^19*t^8.377)/g1^5 + 2*g1^3*g2^11*t^8.397 + 2*g1^11*g2^3*t^8.417 + g1^7*g2^15*t^8.486 + 2*g1^15*g2^7*t^8.506 + (2*g1^23*t^8.527)/g2 + g1^11*g2^19*t^8.576 + t^8.592/(g1^4*g2^36) + t^8.662/(g1^8*g2^24) + g1^15*g2^23*t^8.666 + g1^23*g2^15*t^8.686 + (4*t^8.731)/(g1^12*g2^12) + (g1^4*t^8.771)/g2^28 + t^8.801/g1^16 + (3*t^8.821)/(g1^8*g2^8) + t^8.841/g2^16 + (g2^12*t^8.87)/g1^20 - (g2^4*t^8.89)/g1^12 - (7*t^8.91)/(g1^4*g2^4) + (2*g1^12*t^8.951)/g2^20 + (g2^16*t^8.96)/g1^16 + (3*g2^8*t^8.98)/g1^8 - t^4.455/(g1^2*g2^2*y) - t^6.603/(g1^3*g2^11*y) - (g2*t^6.673)/(g1^7*y) + t^7.455/(g1^2*g2^2*y) + (g1^6*t^7.475)/(g2^10*y) + (g2^10*t^7.525)/(g1^6*y) + (2*g1^2*g2^2*t^7.545)/y + (g1^6*g2^6*t^7.634)/y + (2*t^8.058)/(g1^5*g2^13*y) + (2*t^8.128)/(g1^9*g2*y) + t^8.148/(g1*g2^9*y) + (3*g2^3*t^8.218)/(g1^5*y) + (3*g1^3*t^8.238)/(g2^5*y) + (2*g2^7*t^8.307)/(g1*y) + (2*g1^7*t^8.327)/(g2*y) + (g1^3*g2^11*t^8.397)/y + (g1^7*g2^15*t^8.486)/y + (g1^15*g2^7*t^8.506)/y - t^8.751/(g1^4*g2^20*y) - (g2^4*t^8.89)/(g1^12*y) + (3*t^8.91)/(g1^4*g2^4*y) + (g2^8*t^8.98)/(g1^8*y) - (t^4.455*y)/(g1^2*g2^2) - (t^6.603*y)/(g1^3*g2^11) - (g2*t^6.673*y)/g1^7 + (t^7.455*y)/(g1^2*g2^2) + (g1^6*t^7.475*y)/g2^10 + (g2^10*t^7.525*y)/g1^6 + 2*g1^2*g2^2*t^7.545*y + g1^6*g2^6*t^7.634*y + (2*t^8.058*y)/(g1^5*g2^13) + (2*t^8.128*y)/(g1^9*g2) + (t^8.148*y)/(g1*g2^9) + (3*g2^3*t^8.218*y)/g1^5 + (3*g1^3*t^8.238*y)/g2^5 + (2*g2^7*t^8.307*y)/g1 + (2*g1^7*t^8.327*y)/g2 + g1^3*g2^11*t^8.397*y + g1^7*g2^15*t^8.486*y + g1^15*g2^7*t^8.506*y - (t^8.751*y)/(g1^4*g2^20) - (g2^4*t^8.89*y)/g1^12 + (3*t^8.91*y)/(g1^4*g2^4) + (g2^8*t^8.98*y)/g1^8

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
3256	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6466	0.8508	0.76	[M:[1.0, 0.9304, 0.7331, 0.7146, 1.0696, 0.6983], q:[0.7587, 0.2413], qb:[0.543, 0.5267], phi:[0.4826]]	t^2.095 + t^2.144 + t^2.199 + t^2.304 + t^2.353 + 2*t^2.896 + t^3. + t^3.209 + t^3.752 + t^4.19 + t^4.239 + t^4.288 + t^4.294 + t^4.343 + 2*t^4.399 + 2*t^4.448 + t^4.497 + t^4.503 + t^4.552 + 2*t^4.608 + 2*t^4.657 + 2*t^4.706 + 2*t^4.991 + 2*t^5.039 + 2*t^5.095 + 3*t^5.199 + 2*t^5.248 + 2*t^5.304 + 2*t^5.353 + t^5.408 + t^5.513 + t^5.562 + 3*t^5.791 + t^5.847 + 2*t^5.896 - 3*t^6. - t^4.448/y - t^4.448*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
1740	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6348	0.8263	0.7683	[M:[1.0, 0.8719, 0.7258, 0.6781], q:[0.766, 0.234], qb:[0.5722, 0.5559], phi:[0.468]]	t^2.034 + t^2.178 + t^2.37 + t^2.419 + t^2.616 + 2*t^2.808 + t^3. + t^3.774 + t^4.015 + t^4.069 + t^4.212 + t^4.355 + t^4.404 + t^4.453 + t^4.547 + t^4.596 + t^4.65 + 2*t^4.739 + 2*t^4.788 + t^4.793 + 2*t^4.837 + 2*t^4.842 + 2*t^4.985 + t^5.034 + 3*t^5.178 + 2*t^5.226 + t^5.232 + t^5.37 + t^5.419 + 2*t^5.424 + 4*t^5.616 + 2*t^5.808 - 3*t^6. - t^4.404/y - t^4.404*y	detail